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High School Math Olympiad Facebook Links

📘 High School Math Olympiad Facebook Links  –  Updated on 26 Oct 2025


Explore Free Math Olympiad High School Solutions by Jon — all learning resources and Facebook links are available on post here for easy access!

[Problems and Solutions links from 1 to 546]


List of Problems Link (please cut and paste this link and it will usually work):

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0xMfev7CQoJLUZTVPn9tbAjFU8t99QFcerngVWUPSqHaYrLbWrZkGH9pHELoRR8LWl


Disclaimer: If anything I get to Solve in my free time I post it on my pages as it’s on my free time. I only don’t share which my students pay for which is my class materials or anything attempted during class hours, to be fair to those who attend paid lessons (this holds true for all my other pages too).



1) Problem 1 – Area Math Olympiad Problem

https://www.facebook.com/103715188085664/posts/103718174752032/

2) Problem 2 – Algebraic Magic

https://www.facebook.com/103715188085664/posts/103724428084740/

3) Problem 3 – Number Theory Exponent Diophantine Equation

https://www.facebook.com/103715188085664/posts/104106304713219/

4) Problem 4 – 2020 Australian Mathematical Olympiad Q1 – Number Theory Question

https://www.facebook.com/103715188085664/posts/104563068000876/

5) Problem 5 – Number Theory – Odd Number of Factors Dilemma

https://www.facebook.com/103715188085664/posts/105642011226315/

6) Problem 6 – APMO 2003 Q1 – Polynomials and Inequality

https://www.facebook.com/103715188085664/posts/107123881078128/

7) Problem 7 – An Arithmetic-Geometrico Sequence

https://www.facebook.com/103715188085664/posts/107591017698081/

8) Problem 8 – Exponent Diophantine Equation – Three Variables x, y, z

https://www.facebook.com/103715188085664/posts/108004784323371/

9) Problem 9 – Exploration Questions – Golden Ratio Dilemma

https://www.facebook.com/103715188085664/posts/111137504010099/

10) Problem 10 – Elementary Number Theory with Sum of Squares Idea

https://www.facebook.com/103715188085664/posts/112555977201585/

11) Problem 11 – Intersecting Diagonals Ratio in a Quadrilateral

https://www.facebook.com/103715188085664/posts/112713023852547/

12) Problem 12 – Area of Egg Shaped Curve Puzzle

https://www.facebook.com/103715188085664/posts/114011070389409/

13) Problem 13 – Pairwise Sums – How many are Prime or Composite?

https://www.facebook.com/103715188085664/posts/114698340320682/

14) Problem 14 – Angle Chasing – Drawing Additional Lines and Concyclic Points

https://www.facebook.com/103715188085664/posts/114721126985070/

15) Problem 15 – Find the Area of the Shaded Region

https://www.facebook.com/103715188085664/posts/114992146957968/

16) Problem 16 – Polynomial Division Dilemma – Remainder Theorem

https://www.facebook.com/103715188085664/posts/115345706922612/

17) Problem 17 – Infinite Fractions – Algebra Substitution Trick

https://www.facebook.com/103715188085664/posts/115396573584192/

18) Problem 18 – Two Digit Number written in Exponent with Equal Digits

https://www.facebook.com/103715188085664/posts/117532476703935/

19) Problem 19 – Lengths relating to Inscribed Circle in a Triangle

https://www.facebook.com/103715188085664/posts/118760759914440/

20) Problem 20 – Consecutive Numbers Pell Equation Mystery from Brahmagupta to Lagrange

https://www.facebook.com/103715188085664/posts/119021249888391/

21) Problem 21- Japan Math Olympiad Finals P1 2019 Diophantine Equation

https://www.facebook.com/103715188085664/posts/119083533215496/

22) Problem 22 – Sector of a Circle – Squares Overlapping Area Problem

https://www.facebook.com/103715188085664/posts/120211919769324/

23) Problem 23 – Which Consecutive Integers add up to 2020?

https://www.facebook.com/103715188085664/posts/120967753027074/

24) Problem 24 – Algebra Challenge

https://www.facebook.com/103715188085664/posts/121494909641025/

25) Problem 25 – What is the Maximum Number of Questions in this Test?

https://www.facebook.com/103715188085664/posts/121496529640863/

26) Problem 26 – MODIFIED 2020 Japan Math Olympiad

https://www.facebook.com/103715188085664/posts/121686246288558/

27) Problem 27 – 2020 Japan Math Olympiad Q1 (Finals) Diophantine Equation

https://www.facebook.com/103715188085664/posts/121942006262982/

28) Problem 28 – An Infinite Telescoping Arithmetic Product

https://www.facebook.com/103715188085664/posts/123208366136346/

29) Problem 29 – A Geometric Inequality

https://www.facebook.com/103715188085664/posts/124129416044241/

30) Problem 30 – IJMO Grade 5/6 – No. 28 – Geometry – A Classic Triangle Area Problem

https://www.facebook.com/103715188085664/posts/124654682658381/

31) Problem 31 – A Mysterious Algebra Question

https://www.facebook.com/103715188085664/posts/124906102633239/

32) Problem 32 – Ratio of 4 Digit Numbers ABCD and DCBA is an Integer

https://www.facebook.com/103715188085664/posts/125218132602036/

33) Problem 33 – A Fourth Degree Polynomial with Surd and Complex Roots

https://www.facebook.com/103715188085664/posts/125221089268407/

34) Problem 34 – Integer Solutions via Factorisation Method

https://www.facebook.com/103715188085664/posts/126100402513809/

35) Problem 35 – Consecutive Squares Trick in a 4 Variable Diophantine Equation

https://www.facebook.com/103715188085664/posts/126235595833623/

36) Problem 36 – A Classical Algebraic Identity Trick

https://www.facebook.com/103715188085664/posts/127217979068718/

37) Problem 37 – A Modulus Diophantine Equation

https://www.facebook.com/103715188085664/posts/127218975735285/

38) Problem 38 – Sum and Product of Integers

https://www.facebook.com/103715188085664/posts/127223125734870/

39) Problem 39 – Exponential Equation and One Intersection Point Argument in Functions

https://www.facebook.com/103715188085664/posts/127450102378839/

40) Problem 40 – Counting Prime Occurrences in a Pascal Triangle Arrangement

https://www.facebook.com/103715188085664/posts/127737045683478/

41) Problem 41 – Pythagoras Theorem and an Integer Length

https://www.facebook.com/103715188085664/posts/128473458943170/

42) Problem 42 – Arithmetic Fraction Sum

https://www.facebook.com/103715188085664/posts/128658068924709/

43) Problem 43 – A Surd Denominator Sum

https://www.facebook.com/103715188085664/posts/128660822257767/

44) Problem 44 – Another Pythagorean Dilemma

https://www.facebook.com/103715188085664/posts/128886025568580/

45) Problem 45 – Sum of two term Powers Trick in Algebra

https://www.facebook.com/103715188085664/posts/129009538889562/

46) Problem 46 – IMONST 2020 Sample – Quadrilateral Area of the Midpoints of a Trapezium

https://www.facebook.com/103715188085664/posts/131122745344908/

47) Problem 47 – An Exponential Diophantine Square

https://www.facebook.com/103715188085664/posts/131365438653972/

48) Problem 48 – Algebra Tricks

https://www.facebook.com/103715188085664/posts/131783578612158/

49) Problem 49 – ABCD^2 Ends with ABCD

https://www.facebook.com/103715188085664/posts/133843735072809/

50) Problem 50 – A Number and its Sum of its Digits add up to 2010

https://www.facebook.com/103715188085664/posts/133847325072450/

51) Problem 51 – Bearing Type of Distance

https://www.facebook.com/103715188085664/posts/133848625072320/

52) Problem 52 – Non Prime Algebraic Expressions

https://www.facebook.com/103715188085664/posts/134503908340125/

53) Problem 53 – Omitted Addends in the Sum of first n Natural Numbers

https://www.facebook.com/103715188085664/posts/134504301673419/

54) Problem 54 – Surd and Conjugate Trick

https://www.facebook.com/103715188085664/posts/134504655006717/

55) Problem 55 – Surd and Factorization Trick

https://www.facebook.com/103715188085664/posts/134505608339955/

56) Problem 56 – Tangent Lengths to an Inscribed Circle

https://www.facebook.com/103715188085664/posts/134654508325065/

57) Problem 57 – Find the Length of an Equilateral Triangle

https://www.facebook.com/103715188085664/posts/134856191638230/

58) Problem 58 – International Mathematical Olympiad (IMO) 2019 Functional Equations

https://www.facebook.com/103715188085664/posts/105607601229756/

59) Problem 59 – Tangent Circles in Pentagon Sides

https://www.facebook.com/103715188085664/posts/135439951579854/

60) Problem 60 – Maximizing Addends in Pyramid Layers

https://www.facebook.com/103715188085664/posts/135442144912968/

61) Problem 61 – Geometry Area – Right Triangle Configuration

https://www.facebook.com/103715188085664/posts/135444154912767/

62) Problem 62 – Magic Square Invariant – 4 by 4 Magic Square

https://www.facebook.com/103715188085664/posts/135445714912611/

63) Problem 63 – First Non-Integer Term in a Sequence

https://www.facebook.com/103715188085664/posts/135451038245412/

64) Problem 64 – Chinese Remainder Theorem (CRT) to find the Last Five Digits of 15^2015

https://www.facebook.com/103715188085664/posts/135455631578286/

65) Problem 65 – Quadrilateral Area within a Parallelogram

https://www.facebook.com/103715188085664/posts/135459161577933/

66) Problem 66 – Sum of Digit of A where A is composed of Addends involving 9s Trick

https://www.facebook.com/103715188085664/posts/135460831577766/

67) Problem 67 – Difference of Two Squares Dilemma with a True or False

https://www.facebook.com/103715188085664/posts/135462774910905/

68) Problem 68 – Chinese Remainder Theorem to find the last three digits of 2018^2019

https://www.facebook.com/103715188085664/posts/135464318244084/

69) Problem 69 – Area of Shaded Region in a Square Question

https://www.facebook.com/103715188085664/posts/135467834910399/

70) Problem 70 – Q – Calculus – Mean Value Theorem to Prove an Inequality Problem

https://www.facebook.com/103715188085664/posts/135469394910243/

71) Problem 71 – Geometry – Length and Similar Triangles Ratio with an Equal Area

https://www.facebook.com/103715188085664/posts/135470574910125/

72) Problem 72 – Multiple Modulus Minimization

https://www.facebook.com/103715188085664/posts/135472551576594/

73) Problem 73 – HCF or GCD of Quartic Polynomials

https://www.facebook.com/103715188085664/posts/135475268242989/

74) Problem 74 – Area via Coordinate Geometry Crossover Tactic

https://www.facebook.com/103715188085664/posts/135477528242763/

75) Problem 75 – Minimum Value of a Two Variable Inequality

https://www.facebook.com/103715188085664/posts/135479178242598/

76) Problem 76 – Cubic Polynomial Identity

https://www.facebook.com/103715188085664/posts/135480464909136/

77) Problem 77 – Geometry of Area & Triangles

https://www.facebook.com/103715188085664/posts/135481211575728/

78) Problem 78 – Geometry with a Trigonometric Depth with Similar Triangles

https://www.facebook.com/103715188085664/posts/135486231575226/

79) Problem 79 – OMK 2018 Highest Sulong Category – Malaysian National Math Olympiad

https://www.facebook.com/103715188085664/posts/135493231574526/

80) Problem 80 – An Arithmetic Sequence Trick Sum

https://www.facebook.com/103715188085664/posts/135496031574246/

81) Problem 81 – 132 is the smallest no. which is the sum of all the 2-digit numbers made from its digits

https://www.facebook.com/103715188085664/posts/135497538240762/

82) Problem 82 – Length of a Line given three equal triangle Areas in a Square

https://www.facebook.com/103715188085664/posts/135498868240629/

83) Problem 83 – Mixed Math Olympiad Questions – Upper Primary or Lower Secondary

https://www.facebook.com/103715188085664/posts/135500638240452/

84) Problem 84 – Ratio of Radii of a Semicircle in a Quadrant

https://www.facebook.com/103715188085664/posts/135504398240076/

85) Problem 85 – Square Root Surd Question

https://www.facebook.com/103715188085664/posts/135505648239951/

86) Problem 86 – 2310k – 210 Form

https://www.facebook.com/103715188085664/posts/135508221573027/

87) Problem 87 – Algebraic Substitution Trick

https://www.facebook.com/103715188085664/posts/135661304891052/

88) Problem 88 – Differential Equation Example

https://www.facebook.com/103715188085664/posts/135665764890606/

89) Problem 89 – Algebra System of Equations sym a +bc = -1

https://www.facebook.com/103715188085664/posts/135673398223176/

90) Functional Equations IMO 2017 P2

https://www.facebook.com/103715188085664/posts/135698078220708/

91) Problem 91 – Circles Excircles and Tangents

https://www.facebook.com/103715188085664/posts/135702448220271/

92) Problem 92 – Exists any n bigger 24 b is a multiple of a and c is a multiple of b a+b+c is n

https://www.facebook.com/103715188085664/posts/135704334886749/

93) Problem 93 – Hexagonal Numbers

https://www.facebook.com/103715188085664/posts/135706398219876/

94) Problem 94 – Reflection Technique in Geometrical Proof

https://www.facebook.com/103715188085664/posts/135713988219117/

95) Problem 95 – Lunes of Hippocrates

https://www.facebook.com/103715188085664/posts/135729171550932/

96) Problem 96 – Power of a Point Theorem Technique IMO 2016 P1

https://www.facebook.com/103715188085664/posts/135732228217293/

97) Problem 97 – Fragrant Integers IMO 2016 Problem 4

https://www.facebook.com/103715188085664/posts/135735474883635/

98) Problem 98 – Surd Squaring and Increasing Function Property

https://www.facebook.com/103715188085664/posts/135744488216067/

99) Problem 99 – Telephone Number Possibilities

https://www.facebook.com/103715188085664/posts/135746491549200/

100) Problem 100 – Excellent Integer OMK 2016 Bongsu Problem B2

https://www.facebook.com/103715188085664/posts/135753761548473/

101) Problem 101 – System of Equations in reals y(x+y)2 =9 and y(x3-y3)=7

https://www.facebook.com/103715188085664/posts/136054884851694/

102) Problem 102 – Rational Root Quadratic Property

https://www.facebook.com/103715188085664/posts/136998014757381/

103) Problem 103 – Shaded Quadrilateral Area formed in a Square

https://www.facebook.com/103715188085664/posts/137801351343714/

104) Problem 104 – Complex Polynomial f(z) remainder when f(1) is divided by 1000

https://m.facebook.com/story.php?story_fbid=138047577985758&id=103715188085664

105) Problem 105 – Root Properties of a Cubic Equation

https://www.facebook.com/103715188085664/posts/138122461311603/

106) Problem 106 – Algebra Challenge Solve for x in terms of a b c

https://www.facebook.com/103715188085664/posts/138897421234107/

107) Problem 107 – Periodic Integer Function

https://www.facebook.com/103715188085664/posts/138899731233876/

108) Problem 108 – HCF or GCD in pairs of 4 numbers find minimum of a missing one

https://www.facebook.com/103715188085664/posts/139821107808405/

109) Problem 109 – Quadratic Algebra Trick Substitution and Completing the Square

https://www.facebook.com/103715188085664/posts/139853947805121/

110) Problem 110 – When Menelaus Meets Routh

https://m.facebook.com/story.php?story_fbid=141134287677087&id=103715188085664

111) Problem 111 – An Infinite Nested Fraction and a Sum of Digits Function Calculation

https://m.facebook.com/story.php?story_fbid=141806817609834&id=103715188085664

112) Problem 112 – Smallest Possible Value of mn given (m2-n2)2 = 1 +80n

https://www.facebook.com/103715188085664/posts/142307144226468/

113) Problem 113 – Integer-Part Surd Estimation

https://www.facebook.com/103715188085664/posts/142859787504537/

114) Problem 114 – A square reflection with Pythagoras or Trigonometry

https://www.facebook.com/103715188085664/posts/143649674092215/

115) Problem 115 – Algebra Find abc + 1 over abc given a + 1 over b etc

https://www.facebook.com/103715188085664/posts/144087297381786/

116) Problem 116 – Functional Equation f(x) + 3xf(1overx) = 2(x +1)

https://www.facebook.com/103715188085664/posts/144087854048397/

117) Problem 117 – Inequality prove x2+y2+z2 greater-equal 1over3 given x+y+z =1

https://www.facebook.com/103715188085664/posts/145268430597006/

118) Problem 118 – Solve 4xoverquad + 3xoverotherquad =1 with clever substitution

https://www.facebook.com/103715188085664/posts/146321797158336/

119) Problem 119 – Arithmetico Geometrico Series Function

https://www.facebook.com/103715188085664/posts/148555253601657/

120) Problem 120 – Multiplicative Inverse in Congruence

https://www.facebook.com/103715188085664/posts/150315480092301/

121) Problem 121 – Rational Square Root Expression sqrt (4n-1over n+5)

https://www.facebook.com/103715188085664/posts/150316096758906/

122) Problem 122 – Area of a Triangle in a square formed by Quarter Triangle Intersections

https://m.facebook.com/story.php?story_fbid=151886013268581&id=103715188085664

123) Problem 123 – Area of a Remaining Part of a Rectangle in terms of the Other Given Partitions

https://www.facebook.com/103715188085664/posts/152542616536254/

124) Problem 124 – Q – Lower Bound on the No.of Members given 40 performances with 10 members each

https://www.facebook.com/103715188085664/posts/152577559866093/

125) Problem 125 – 3 Partition Sum of integers 1 to n

https://m.facebook.com/story.php?story_fbid=153677896422726&id=103715188085664

126) Problem 126 – Fermat Numbers Properties

https://m.facebook.com/story.php?story_fbid=153679006422615&id=103715188085664

127) Problem 127 – Right Triangle with Sides in Arithmetic Progression

https://www.facebook.com/103715188085664/posts/153885176401998/

128) Problem 128 – Convex Quadrilateral cut in Midpoints rearranged to a Parallelogram and Varignon’s Theorem

https://www.facebook.com/103715188085664/posts/153885503068632/

129) Problem 129 – Equiangular Hexagon Prove AB – DE = CD – FA = EF – BC

https://www.facebook.com/103715188085664/posts/153885833068599/

130) Problem 130 – Pythagorean Triplets

https://www.facebook.com/103715188085664/posts/154132363043946/

131) Problem 131 – Parallelogram ABCD with interior Point M on Circles with Common Vertices

https://www.facebook.com/103715188085664/posts/154132896377226/

132) Problem 132 – Surd Power n Existence of Symmetric Integer Polynomial

https://www.facebook.com/103715188085664/posts/154133423043840/

133) Problem 133 – Polar Integration for Circular Intersection Puzzles

https://www.facebook.com/103715188085664/posts/154761296314386/

134) Problem 134 – Zig Zag line in Semicircle Problem – KMC 2020 Problem 23

https://www.facebook.com/103715188085664/posts/154805182976664/

135) Problem 135 – Inequality prove x+3biggery or xlessy+3 given a constraint

https://www.facebook.com/103715188085664/posts/155689559554893/

136) Problem 136 – Curved Shaded area equal to Area of a Square

https://www.facebook.com/103715188085664/posts/155690789554770/

137) Problem 137 – Area of Incircle with 3 distances of a Point is given in a Square

https://www.facebook.com/103715188085664/posts/155691332888049/

138) Problem 138 – Sophie Germain Identity Trick for a4+4b4 Factorizable Form

https://m.facebook.com/story.php?story_fbid=159789232478259&id=103715188085664

139) Problem 139 – Grid Shaded Area Tricks Square divided to 3 Equal parts

https://m.facebook.com/story.php?story_fbid=159789892478193&id=103715188085664

140) Problem 140 – Grid Shaded Area Tricks non-Rectilinear figures

https://m.facebook.com/story.php?story_fbid=159790569144792&id=103715188085664

141) Problem 141 – Solve in Integers cbrt(a2+b2)+cbrt(2ab)=a+b

https://m.facebook.com/story.php?story_fbid=160401899083659&id=103715188085664

142) Problem 142 – IMONST 2 2020 Senior

https://m.facebook.com/story.php?story_fbid=162539905536525&id=103715188085664

143) Problem 143 – Find area of DECF linked to a square where its Apex is 10 units away from the Centre of Square

https://m.facebook.com/story.php?story_fbid=162541098869739&id=103715188085664

144) Problem 144 – Trigonometric Substitution for Algebra Trick

https://m.facebook.com/story.php?story_fbid=162541465536369&id=103715188085664

145) Problem 145 – Double Algebra Trick involving Products and Sum together in one question

https://m.facebook.com/story.php?story_fbid=162542142202968&id=103715188085664

146) Problem 146 – Ratio Adding Trick

https://m.facebook.com/story.php?story_fbid=166355145155001&id=103715188085664

147) Problem 147 – Maximizing sqrt a+sqrt b over sqrt of a+b

https://m.facebook.com/story.php?story_fbid=166355555154960&id=103715188085664

148) Problem 148 – Invariant within a large Rational Quadratic Expression

https://m.facebook.com/story.php?story_fbid=166356068488242&id=103715188085664

149) Problem 149 – Trigonometric Substitution Trick for Sqrt (1-a2) Expression

https://m.facebook.com/story.php?story_fbid=166356601821522&id=103715188085664

150) Problem 150 – Inequality Cyclic 1/a bigger-equal Cyclic 2overa+b

https://www.facebook.com/103715188085664/posts/167552661701916/

151) Problem 151 – Golden Ratio a 10 Degree Polynomial Solving Techniques

https://www.facebook.com/103715188085664/posts/167553281701854/

152) Problem 152 – Ptolemy Theorem application example

https://www.facebook.com/103715188085664/posts/167553828368466/

153) Problem 153 – Symmetric Sums and Products in a Tedious Example

https://www.facebook.com/103715188085664/posts/167554751701707/

154) Problem 154 – Max of b+c given (a+c)(b2+ac)=4a

https://www.facebook.com/103715188085664/posts/168534798270369/

155) Problem 155 – x’a+y’b+z’csqrt2 n a’x+b’y+c’z=0 find x2’a2+y2’b2+z2’c2

https://www.facebook.com/103715188085664/posts/168536578270191/

156) Problem 156 – a2+ab+b2 forms given find a+b+c cube

https://www.facebook.com/103715188085664/posts/168537064936809/

157) Problem 157 – x3 is z’y – 2y’z forms given solve

https://m.facebook.com/story.php?story_fbid=168541634936352&id=103715188085664

158) Problem 158 – Solve a2+b2+c2 is 2’a-b-c’-3 to find a+b+c

https://www.facebook.com/103715188085664/posts/168624001594782/

159) Problem 159 – Solve Algebra using Substitution Trick

https://www.facebook.com/103715188085664/posts/168624608261388/

160) Problem 160 – Solve non symmetrical system of 4 variables 4 linear equations

https://www.facebook.com/103715188085664/posts/168624991594683/

161) Problem 161 – Solving Infinite Algebra Repetitions

https://www.facebook.com/103715188085664/posts/168625488261300/

162) Problem 162 – Rarely known Algebra Property if x+y+zis0 for x5+y5+z5 and x7+y7+z7

https://m.facebook.com/story.php?story_fbid=168988348225014&id=103715188085664

163) Problem 163 – xy+yz+zx is 0 special invariant algebraic modifications for x2’x2-yz forms

https://www.facebook.com/103715188085664/posts/169266854863830/

164) Problem 164 – ax+by recursive algebraic identity property

https://www.facebook.com/103715188085664/posts/169267411530441/

165) Problem 165 – 1over’x-1”x-2′ + 1over’x-2”x-3′ + 1over’x-3”x-4′ is 1’6

https://www.facebook.com/103715188085664/posts/169269288196920/

166) Problem 166 – Primes p4+2p+q4+q2 is r2+4q3+1

https://www.facebook.com/103715188085664/posts/169270268196822/

167) Problem 167 – Alphametic or Cryptarithm AB x CB is DDD

https://www.facebook.com/103715188085664/posts/173400551117127/

168) Problem 168 – Algebra x’y+y’xis1 find complicated sum of cubes expression

https://www.facebook.com/103715188085664/posts/173401607783688/

169) Problem 169 – Algebra x2-y2 is z+1over’xy’ form

https://www.facebook.com/103715188085664/posts/173402814450234/

170) Problem 170 – Algebra Fifth Binomial Expansion scattered terms

https://www.facebook.com/103715188085664/posts/173403874450128/

171) Problem 171 – Carnot’s Theorem Application

https://www.facebook.com/103715188085664/posts/173408521116330/

172) Problem 172 – Candido’s Identity ‘x2+y2+’x+y’2’2 is 2’x4+y4+’x+y’4’

https://m.facebook.com/story.php?story_fbid=177048384085677&id=103715188085664

173) Problem 173 – Modulo Prime P Property of the Expression n^’n+1′ + ‘n+1’^n

https://m.facebook.com/story.php?story_fbid=177051857418663&id=103715188085664

174) Problem 174 – Ramanujan’s Cube Root Result and a Rare Related Algebraic Identity

https://m.facebook.com/story.php?story_fbid=177053054085210&id=103715188085664

175) Problem 175 – Angle Bisectors AA1 CosA/2 over Sin A etc. Cyclic Sum Invariant in a Unit Circle

https://m.facebook.com/story.php?story_fbid=177055227418326&id=103715188085664

176) Problem 176 – Integer Solutions to a3+2b3 is 7a2b

https://m.facebook.com/story.php?story_fbid=193828389074343&id=103715188085664

177) Problem 177 – Integers n for Sqrt ‘4n-1over n+5’ is rational

https://m.facebook.com/story.php?story_fbid=193831329074049&id=103715188085664

178) Problem 178 – Form a2+ab+1 divides b2+ab+1 then a=b

https://m.facebook.com/story.php?story_fbid=193833375740511&id=103715188085664

179) Problem 179 – Alphametic NIP x IN is ANON+NIP equals CORN

https://m.facebook.com/story.php?story_fbid=197858038671378&id=103715188085664

180) Problem 180 – Surveyor Technique to Measure a Mountain’s Height using his shadow

https://www.facebook.com/103715188085664/posts/217715163352332/

181) Problem 181 – f(x) + f(x-1overx) is 1+x find f(300)

https://www.facebook.com/103715188085664/posts/218244293299419/

182) Problem 182 – Can the product two consecutive be the product of four consecutive numbers

https://www.facebook.com/103715188085664/posts/222738549516660/

183) Problem 183 – Given sum of 2007 integers ai find the remainder of sum of ai cubes modulo 6

https://www.facebook.com/103715188085664/posts/222741146183067/

184) Problem 184 – Given Quadratic Function f(x)isx with no real root prove likewise for ff(x)isx

https://www.facebook.com/103715188085664/posts/222743459516169/

185) Problem 185 – Solve for Prime p and integers x y p+1is2x2 and p2+1is2y2

https://www.facebook.com/103715188085664/posts/222745796182602/

186) Problem 186 – Highest Exponent of 2 dividing 2017^(2^100) – 2015^(2^100)

https://www.facebook.com/103715188085664/posts/223333552790493/

187) Problem 187 – Solve xn+yn is nxy-n+2 in natural numbers

https://www.facebook.com/103715188085664/posts/223368716120310/

188) Problem 188 – Given n+1 and 2n+1 are perfect squares then 24 divides n

https://www.facebook.com/103715188085664/posts/223401282783720/

189) Problem 189 – Given xyz is 1 positive reals prove that cyclic sum 1over2+x is at most 1

https://www.facebook.com/103715188085664/posts/229047442219104/

190) Problem 190 – COVID Probability Question with False Positives and False Negatives and a Conditional Probability

https://www.facebook.com/103715188085664/posts/229049352218913/

191) Problem 191 – Square of Primes which can be written as a Sum of Two Positive Integer Cubes

https://www.facebook.com/103715188085664/posts/229051438885371/

192) Problem 192 – Two Sequences one double the other while one less by 45 repeat initial value

https://www.facebook.com/103715188085664/posts/229374522186396/

193) Problem 193 – Isosceles Triangle a a b with P is A2 and a rational b and P integers

https://www.facebook.com/103715188085664/posts/229375208852994/

194) Problem 194 – Sixteen Digit Number from A power AA plus AA

https://www.facebook.com/103715188085664/posts/229375782186270/

195) Problem 195 – Solve in positive integers 1’x + 2’y – 3’z is 1

https://www.facebook.com/103715188085664/posts/231274085329773/

196) Problem 196 – Prove a 4 Variable Algebraic Fraction Inequality to be at least 4 for positive reals

https://www.facebook.com/103715188085664/posts/231274868663028/

197) Problem 197 – Given x+y+z is 3 and x3+y3+z3 is 15 and x4+y4+z4 is 35 find x5+y5+z5 if X2+y2+z2 is less than 10

https://www.facebook.com/103715188085664/posts/231276005329581/

198) Problem 198 – Given f(x-y) is f(x) – f(y) + bxy find constant b

https://www.facebook.com/103715188085664/posts/231276531996195/

199) Problem 199 – Prove no solutions in integers for x2-3y2+5z2-7t2 is 0 and infinitely many solutions for x2-3y2-5z2+7t2 is 0 with unequal ratios for these integers

https://www.facebook.com/103715188085664/posts/231277375329444/

200) Problem 200 – Prove 19’8”n+17 is never a Prime Number

https://www.facebook.com/103715188085664/posts/235318444925337/

201) Problem 201 – Functional Equation f(mn) is f(m) + f(n) with f is zero is last digit of n is 3

https://www.facebook.com/103715188085664/posts/235322418258273/

202) Problem 202 – Functional Equation f(x+y) is f(x)f(y) – f(xy)+1 find f(2017/2018)

https://www.facebook.com/103715188085664/posts/235325661591282/

203) Problem 203 – Parallelogram (a + b + c)2 – x2 = 4ab Partition

https://www.facebook.com/103715188085664/posts/242982450825603/

204) Problem 204 – Square 45 Degrees Diagonals Parts 1 and 7 Find a line segment

https://www.facebook.com/103715188085664/posts/242984914158690/

205) Problem 205 – Regular Pentagon and a Square – Find Angle X

https://www.facebook.com/103715188085664/posts/243626440761204/

206) Problem 206 – Semicircle and a Circle Intersect at D and E Find DE with some configuration given

https://www.facebook.com/103715188085664/posts/243774764079705/

207) Problem 207 – Minimum m2+n2 for x4+mx3+nx2+mx+1=0

https://www.facebook.com/103715188085664/posts/248074083649773/

208) Problem 208 – Trigonometric Identities I

https://www.facebook.com/103715188085664/posts/248137776976737/

209) Problem 209 – Trigonometric Identities II

https://www.facebook.com/103715188085664/posts/248152676975247/

210) Problem 210 – Trigonometric Quadratic Mixed Equation

https://www.facebook.com/103715188085664/posts/248188090305039/

211) Problem 211 – A Bus B Walk later switch A Walk B Bus Same Time Reach

https://www.facebook.com/103715188085664/posts/250880706702444/

212) Problem 212 – Regular Octagon area in a Square

https://www.facebook.com/103715188085664/posts/254129413044240/

213) Problem 213 – f(x) – f(x-3) = 2[f(x-1) – f(x-2)]

https://www.facebook.com/103715188085664/posts/254130543044127/

214) Problem 214 – Cubic Equation Vieta Formulas and Algebra

https://www.facebook.com/103715188085664/posts/254131813044000/

215) Problem 215 – Pascal Triangle Row-Sum Pattern

https://www.facebook.com/103715188085664/posts/254132973043884/

216) Problem 216 – Solve Unique Surd Equation

https://www.facebook.com/103715188085664/posts/254134099710438/

217) Problem 217 – Last Digit of 3^2021 x 7^2021

https://www.facebook.com/103715188085664/posts/257724459351402/

218) Problem 218 – Last Two Digits of 3^2021 x 7^2021

https://www.facebook.com/103715188085664/posts/257724819351366/

219) Problem 219 – Greatest Value of (a4-b4) over (b-a)

https://www.facebook.com/103715188085664/posts/259053242551857/

220) Problem 220 – A over Modulus A trick

https://www.facebook.com/103715188085664/posts/259053832551798/

221) Problem 221 – Fifth Power Polynomial which is always divisible by 60

https://www.facebook.com/103715188085664/posts/259056489218199/

222) Problem 222 – Functional Relation One to One Impossibility

https://www.facebook.com/103715188085664/posts/259058532551328/

223) Problem 223 – Algebra Cyclic 1 over a2021sum is 1 over (a+b+c)2021

https://www.facebook.com/103715188085664/posts/260411765749338/

224) Problem 224 – Triangle Inequality (a+b+c over 2)2 is at least sum of squares of heights

https://www.facebook.com/103715188085664/posts/260413082415873/

225) Problem 225 – Triangle Concurrency and Ratios

https://www.facebook.com/103715188085664/posts/260413665749148/

226) Problem 226 – Sequence of Real Numbers and an Inequality

https://www.facebook.com/103715188085664/posts/260414019082446/

227) Problem 227 – Diophantine Equation a3 – b2 = c5

https://www.facebook.com/103715188085664/posts/262251675565347/

228) Problem 228 – Given a2+b2 and c2+d2 find max ac

https://www.facebook.com/103715188085664/posts/262252428898605/

229) Problem 229 – A Gigantic Diophantine Quadratic Equation

https://www.facebook.com/103715188085664/posts/262252852231896/

230) Problem 230 – Viviani Theorem Application

https://www.facebook.com/103715188085664/posts/264050145385500/

231) Problem 231 – Last Digits Pattern for a Fibonacci Sequence

https://www.facebook.com/103715188085664/posts/264050625385452/

232) Problem 232 – Number of Colourings so that no two Row or Column have the same number of cells colored in a nxn square grid

https://www.facebook.com/103715188085664/posts/264051722052009/

233) Problem 233 – How many ways to colour 6 different faces of a cube with 6 different colours

https://www.facebook.com/103715188085664/posts/265218481935333/

234) Problem 234 – How many ways to colour the faces of a cube with n different colours

https://www.facebook.com/103715188085664/posts/265219051935276/

235) Problem 235 – Diophantine P(2n+1, n-1) : 2′(n-1) is 10.5

https://www.facebook.com/103715188085664/posts/265219568601891/

236) Problem 236 – Two Arithmetic Sequences Combined

https://www.facebook.com/103715188085664/posts/269253991531782/

237) Problem 237 – Algebra 5 Variables 3 Equations Find Sum of All

https://www.facebook.com/103715188085664/posts/269254831531698/

238) Problem 238 – x+1/x link to x7 is 1

https://www.facebook.com/103715188085664/posts/269259594864555/

239) Problem 239 – Equation with a sin x + b cos x

https://www.facebook.com/103715188085664/posts/270761381381043/

240) Problem 240 – Equation with a sin x + b cos x

https://www.facebook.com/103715188085664/posts/270762471380934/

241) Problem 241 – Tiling a 3 x N Grid with 3 x 1 Tiles

https://www.facebook.com/103715188085664/posts/270763128047535/

242) Problem 242 – A Functional Inequality f(x) at most x and f(x+y) at most f(x)+f(y)

https://www.facebook.com/103715188085664/posts/270764918047356/

243) Problem 243 – Differentiable Functional Equation f(x+f(y)+xf(y)) = y+f(x)+yf(x)

https://www.facebook.com/103715188085664/posts/270766351380546/

244) Problem 244 – 7 Athletes 4 Chosen A and B not in 2nd or 3rd

https://www.facebook.com/103715188085664/posts/272449464545568/

245) Problem 245 – Circular Arrangement of Families seated within themselves

https://www.facebook.com/103715188085664/posts/272450171212164/

246) Problem 246 – Odd Numbers using 1 1 2 3 4 greater than 2000

https://www.facebook.com/103715188085664/posts/272451061212075/

247) Problem 247 – Number of Nonnegative Solutions to x+y+z=10

https://www.facebook.com/103715188085664/posts/272451787878669/

248) Problem 248 – Fibonacci Pattern for Flight of Stair with one or two steps leap

https://www.facebook.com/103715188085664/posts/272452361211945/

249) Problem 249 – Area of Triangles across the diagonal of a Quadrilateral

https://www.facebook.com/103715188085664/posts/272453127878535/

250) Problem 250 – Sum to Infinity of kx^k in terms of x

https://www.facebook.com/103715188085664/posts/274762050980976/

251) Problem 251 – Summation Trick Using Logarithmic Derivative and Polynomial Root Relationship

https://www.facebook.com/103715188085664/posts/274762804314234/

252) Problem 252 – How many Perfect Squares divide 10^2021?

https://www.facebook.com/103715188085664/posts/287429533047561/

253) Problem 253 – How many three-element Subsets of integers 1 to 30 have Sum of Elements divisible by 4?

https://www.facebook.com/103715188085664/posts/287430179714163/

254) Problem 254 – Ratio of Teachers and Students

https://www.facebook.com/103715188085664/posts/287430816380766/

255) Problem 255 – Newton – Raphson Method in approximating Numerical Solutions

https://www.facebook.com/103715188085664/posts/287431779714003/

256) Problem 256 – Tough Integer Inequality and Decimal Expansion Link

https://www.facebook.com/103715188085664/posts/287432276380620/

257) Problem 257 – Crescent Shape Area

https://www.facebook.com/103715188085664/posts/292189445904903/

258) Problem 258 – Minimum of MN given (M2-N2)2 = 400N2+39N+9

https://www.facebook.com/103715188085664/posts/292190709238110/

259) Problem 259 – Find -a1/2+a2/2’2+a3/2’3+…+a2021/2’2021 given Sum (1+2x)’n is a0+a1x+…+a2021x’2021

https://www.facebook.com/103715188085664/posts/292191969237984/

260) Problem 260 – Hexagonal Pyramid in a Cone

https://www.facebook.com/103715188085664/posts/298276031962911/

261) Problem 261 – Probability Counting no. Of ways to get Product of 120 or 150 from 4 Standard Dice

https://www.facebook.com/103715188085664/posts/298277258629455/

262) Problem 262 – Solving a+bc type symmetric equations simultaneously

https://www.facebook.com/103715188085664/posts/298278458629335/

263) Problem 263 – Given ab = -1 find a’n+b’n+1overa’n+1overb’n+ab’n+1overab’n

https://www.facebook.com/103715188085664/posts/298281431962371/

264) Problem 264 – Least integer N such that a Square can be dissected into N smaller squares

https://www.facebook.com/103715188085664/posts/299784058478775/

265) Problem 265 – Five Circles Tangent Arrangement given smallest n largest Radius find middle radius

https://www.facebook.com/103715188085664/posts/299787051811809/

266) Problem 266 – Chicken Mcnugget Theorem

https://www.facebook.com/103715188085664/posts/302901491500365/

267) Problem 267 – Product Log Tan x and Integration of Log Tan x

https://www.facebook.com/103715188085664/posts/302902444833603/

268) Problem 268 – Cubic Surd and Roots of an Unique Cubic Equation link

https://www.facebook.com/103715188085664/posts/302903624833485/

269) Problem 269 – How many Cubes in all 8 Layers if arranged in manner in picture?

https://www.facebook.com/103715188085664/posts/312790440511470/

270) Problem 270 – How many Boxes crossed in a Diagonal of a Rectangle in a Grid?

https://www.facebook.com/103715188085664/posts/312791367178044/

271) Problem 271 – Isoperimeter Equilateral Triangle and Regular Hexagon link in Area

https://www.facebook.com/103715188085664/posts/312798877177293/

272) Problem 272 – Last Digit for the Sum of the Fifth Powers of any 10 Consecutive Positive Integers

https://www.facebook.com/103715188085664/posts/312800407177140/

273) Problem 273 – Algebraic Link between xy and x+y identities and expressions

https://www.facebook.com/103715188085664/posts/312801313843716/

274) Problem 274 – Area link of a Triangle and Parallelograms erected on its sides in some ratios

https://www.facebook.com/103715188085664/posts/312802063843641/

275) Problem 275 – Prove that n power (n-1) is divisible by (n-1) squared

https://www.facebook.com/103715188085664/posts/312807967176384/

276) Problem 276 – Sine Graph Curve Sketching and Interpreting Techniques

https://www.facebook.com/103715188085664/posts/323776762746171/

277) Problem 277 – Sin x + Cos x ranges when it’s increasing or decreasing

https://www.facebook.com/103715188085664/posts/323777822746065/

278) Problem 278 – Similarity Exercise I

https://www.facebook.com/103715188085664/posts/323836769406837/

279) Problem 279 – Similarity Exercise II

https://www.facebook.com/103715188085664/posts/323780499412464/

280) Problem 280 – Similarity Exercise III

https://www.facebook.com/103715188085664/posts/323780769412437/

281) Problem 281 – Treasure Hunt Puzzle Truth Speaker and Liar

https://www.facebook.com/103715188085664/posts/323839796073201/

282) Problem 282 – Alternating Sum

https://www.facebook.com/103715188085664/posts/323842799406234/

283) Problem 283 – Consecutive Squares Difference Trick

https://www.facebook.com/103715188085664/posts/323843909406123/

284) Problem 284 – Last Digits for Sum of Powers

https://www.facebook.com/103715188085664/posts/323844812739366/

285) Problem 285 – Sum of Integers in a Surd Interval

https://www.facebook.com/103715188085664/posts/323845682739279/

286) Problem 286 – Rate Connecting 3 Quantities

https://www.facebook.com/103715188085664/posts/323846572739190/

287) Problem 287 – Distance Relationship for an Interior Point in a Rectangle to its Vertices

https://www.facebook.com/103715188085664/posts/323847469405767/

288) Problem 288 – Solve a+b+c is 20 and how many (a+b) over c all in positive integers

https://www.facebook.com/103715188085664/posts/323848786072302/

289) Problem 289 – Similar Triangles and Ratio of Areas Geometry

https://www.facebook.com/103715188085664/posts/323849862738861/

290) Problem 290 – ABCD is divisible by Product AB x CD

https://www.facebook.com/103715188085664/posts/339768924480288/

291) Problem 291 – Trapezium with Perpendicular Diagonals with one of length 15 and height 12 Find Area

https://www.facebook.com/103715188085664/posts/342416257548888/

292) Problem 292 – Invariant Trck in Equal Radius Sectors

https://www.facebook.com/103715188085664/posts/343044414152739/

293) Problem 293 – Lamp Shade Net for Width Calculation

https://www.facebook.com/103715188085664/posts/343044880819359/

294) Problem 294 – Trapezium Type Area on a Quadrant

https://www.facebook.com/103715188085664/posts/343045777485936/

295) Problem 295 – Diophantine (ac)2 – (bd)2 + (ad)2 – (bc)2 = 2020

https://www.facebook.com/103715188085664/posts/349873423469838/

296) Problem 296 – Recurrence Relation an+2 an is (1+an+1)

https://www.facebook.com/103715188085664/posts/350577123399468/

297) Problem 297 – Minimum Total given no of Females 48% to 50% of a Total

https://www.facebook.com/103715188085664/posts/350578020066045/

298) Problem 298 – Integration Area Challenge I

https://www.facebook.com/103715188085664/posts/353712186419295/

299) Problem 299 – Integration Area Challenge II

https://www.facebook.com/103715188085664/posts/353712516419262/

300) Problem 300 – OMK 2021 – B1 Diophantine Equation with first digits a string of 111

https://youtu.be/HJhp21-IuI4

301) Problem 301 – OMK 2021 B2 Diophantine a3+b3+c3 = (abc)2

https://youtu.be/1sDKZRXDyD0

302) Problem 302 – OMK 2021 B3 Symmedian Configuration

https://youtu.be/fAo5VIf7fZc

303) Problem 303 – Surd Simultaneous Equations

https://www.facebook.com/103715188085664/posts/361133019010545/

304) Problem 304 – Triangle Geometry with Trigonometry

https://www.facebook.com/103715188085664/posts/361777355612778/

305) Problem 305 – Tedious Integrations with Subdivision Areas

https://www.facebook.com/103715188085664/posts/363547405435773/

306) Problem 306 – Four Circles in some Tangent Arrangement

https://www.facebook.com/103715188085664/posts/364048038719043/

307) Problem 307 – Line Segments MA+AN=PC+CQ in an Equilateral Triangle

https://www.facebook.com/103715188085664/posts/367718311685349/

308) Problem 308 – Symmedian Configuration

https://www.facebook.com/103715188085664/posts/367718955018618/

309) Problem 309 – Number of ways to arrange 6 males and 4 females so that all females are separated

https://www.facebook.com/103715188085664/posts/373379114452602/

310) Problem 310 – Solve in integers 2^x – 1 = 3^y IMONST2 Reading Material NT Q8

https://youtu.be/KCuWoKN3Gd8

311) Problem 311 – Solve the congruence a^x is (a-2) mod (a -1) IMONST2 Reading Material NT Q9

https://youtu.be/QPPCO3HE_Jo

312) Problem 312 – Similar Triangles through intersection of two circles IMONST2 Reading Materials E.X. 3.5 No. 2 Pg 19

https://www.facebook.com/103715188085664/posts/375675344222979/

313) Problem 313 – A Geometry with Coincidences

https://www.facebook.com/103715188085664/posts/377279180729262/

314) Problem 314 – Diophantine (m2+n)(m+n2) is (m+n)3

https://www.facebook.com/103715188085664/posts/378523480604832/

315) Problem 315 – Geometry Congruence and Similarity

https://www.facebook.com/103715188085664/posts/381237713666742/

316) Problem 316 – Number of Coins and Weight Problem

https://www.facebook.com/103715188085664/posts/386492143141299/

317) Problem 317 – 30 Children seated in a circle find the 30th child number TIMO 2017 Primary 6 No. 3

https://www.facebook.com/103715188085664/posts/388192802971233/

318) Problem 318 – Circle Geometry with Tangent and Cyclic Quadrilaterals

https://www.facebook.com/103715188085664/posts/395583095565537/

319) Problem 319 – Complex Number Powers

https://www.facebook.com/103715188085664/posts/399865938470586/

320) Problem 320 – Cube Factorisation and Example Usage at Competition Level

https://www.facebook.com/103715188085664/posts/406367261153787/

321) Problem 321 – Similar Triangle Partition

https://www.facebook.com/103715188085664/posts/408735720916941/

322) Problem 322 – Representation as Sum of Cubes

https://www.facebook.com/103715188085664/posts/408760160914497/

323) Problem 323 – Series and Power Series

https://www.facebook.com/103715188085664/posts/416967636760416/

324) Problem 324 – Area of Trapezium as a function of x and y

https://www.facebook.com/103715188085664/posts/417587263365120/

325) Problem 325 – Number N as a Cube Square Product of Primes and how many digits

https://www.facebook.com/103715188085664/posts/417587553365091/

326) Problem 326 – Triangle Numbers in Pascal Style Pattern

https://www.facebook.com/103715188085664/posts/417587913365055/

327) Problem 327 – Area Challenge

https://www.facebook.com/103715188085664/posts/423543209436192/

328) Problem 328 – Ratio Challenge

https://www.facebook.com/103715188085664/posts/423543502769496/

329) Problem 329 – Similarity Challenge

https://www.facebook.com/103715188085664/posts/423543876102792/

330) Problem 330 – A Three Denominator Term Product Sum

https://www.facebook.com/103715188085664/posts/430101388780374/

331) Problem 331 – Cubes Modulo 7 Property and Fermat’s Infinite Descent Method

https://www.facebook.com/103715188085664/posts/432977415159438/

332) Problem 332 – COVID Question on Infection Rate

https://www.facebook.com/103715188085664/posts/433161541807692/

333) Problem 333 – Junior IMO 2017 Selection Test

https://www.facebook.com/103715188085664/posts/442639994193180/

334) Problem 334 – Cryptarithm THIS IS KEEN

https://www.facebook.com/103715188085664/posts/456143632842816/

335) Problem 335 – A Factorial Simplification SASMO 2017 Secondary 3

https://www.facebook.com/103715188085664/posts/462148935575619/

336) Problem 336 – A Geometry of Lengths with Angle Bisector SASMO 2017 Secondary 3 Q23

https://www.facebook.com/103715188085664/posts/462149655575547/

337) Problem 337 – Sum along a Triplet is 16 – PMONK Math Olympiad 2013 – No. 26

https://www.facebook.com/103715188085664/posts/463805038743342/

338) Problem 338 – Maximum Number of Intersection Points for 20 Circles and 13 Straight Lines PMONK Math Olympiad 2013 – No. 30

https://www.facebook.com/103715188085664/posts/463806818743164/

339) Problem 339 – Exterior Triangles on a Hexagon – PMONK 2015 – Level 6 Q 27

https://www.facebook.com/103715188085664/posts/463808345409678/

340) Problem 340 – Similar Triangles in X Configuration – PMONK Math Olympiad 2015 – No. 25

https://www.facebook.com/103715188085664/posts/463809482076231/

341) Problem 341 – Area of Triangle in a Multiple Mid-Point PMONK No. 27 Unknown Year

https://www.facebook.com/103715188085664/posts/463810428742803/

342) Problem 342 – Sum of abc digits interchanged is 2013 PMONK 2015 – Level 6 Q 25

https://www.facebook.com/103715188085664/posts/463811782076001/

343) Problem 343 – Quadrilateral Area in between inside – PMONK Math Olympiad 2013 – No. 27

https://www.facebook.com/103715188085664/posts/463813098742536/

344) Problem 344 – Area of Triangle PMONK Math Olympiad 2013 – No. 29

https://www.facebook.com/103715188085664/posts/463814495409063/

345) Problem 345 – Walking Problem with no Solutions Example

https://www.facebook.com/103715188085664/posts/464981531959026/

346) Problem 346 – Walking Problem with Solution Example

https://www.facebook.com/103715188085664/posts/464983275292185/

347) Problem 347 – Reciprocal of (1 + dk) Divisor based Sum Property

https://www.facebook.com/103715188085664/posts/465372785253234/

348) Problem 348 – Circle and Square Shaded Area UKGMT Challenge

https://www.facebook.com/103715188085664/posts/465682731888906/

349) Problem 349 – K K+1 and K+2 Product Sum

https://www.facebook.com/103715188085664/posts/475262787597567/

350) Problem 350 – Upper and Lower Bounds for Product of n over n+1 fractions

https://www.facebook.com/103715188085664/posts/475263670930812/

351) Problem 351 – Cryptarithm ENJOY + MATH is SASMO with M is 5

https://www.facebook.com/103715188085664/posts/475265080930671/

352) Problem 352 – Minimax for Modulus Quadratic Function [4×2-4x+k] with x in [-1, 1]

https://www.facebook.com/103715188085664/posts/476891787434667/

353) Problem 353 – Given 3n has remainder 13 when divided by 17 what is remainder of n

https://www.facebook.com/103715188085664/posts/479872963803216/

354) Problem 354 – Modulus Quadratic Inequality

https://www.facebook.com/103715188085664/posts/489149146208931/

355) Problem 355 – Telescoping Idea WIMO 2018 Final-Mock Senior-Secondary No. 25

https://www.facebook.com/103715188085664/posts/494650332325479/

356) Problem 356 – Parity Trick WIMO 2018 Final-Mock Senior-Secondary No. 30

https://www.facebook.com/103715188085664/posts/494650965658749/

357) Problem 357 – Trigonometry WIMO 2018 Final-Mock Senior-Secondary No. 24

https://www.facebook.com/103715188085664/posts/494651378992041/

358) Problem 358 – Pythagoras WIMO 2018 Final-Mock Senior-Secondary No. 22

https://www.facebook.com/103715188085664/posts/494652348991944/

359) Problem 359 – 7 Digit Palindromes WIMO 2018 Final-Mock Senior-Secondary No. 29

https://www.facebook.com/103715188085664/posts/497312005392645/

360) Problem 360 – Product is k times Sum WIMO 2018 Final-Mock Senior-Secondary No. 28

https://www.facebook.com/103715188085664/posts/497313468725832/

361) Problem 361 – Remainder of 2022^2022 divided by 11

https://www.facebook.com/103715188085664/posts/497970695326776/

362) Problem 362 – Probability of 2 Yellow Balls from 3 Bags WIMO 2018 Final-Mock Senior-Secondary No. 26

https://www.facebook.com/103715188085664/posts/499681108489068/

363) Problem 363 – 7 Different Envelopes into 4 Mailboxes WIMO 2018 Final-Mock Senior-Secondary No. 27

https://www.facebook.com/103715188085664/posts/499681535155692/

364) Problem 364 – Geometry with Trigonometric Special Values Example

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02DY782JxuisBgDg3mnwuVMu4LjQD91chddLyVRBFSrL6yswis3dHjXWmoykScbSkJl

365) Problem 365 – Length of Pencil and Sunlight

https://www.facebook.com/103715188085664/posts/504297451360767

366) Problem 366 – Area of Regular Hexagon and Octagon Link WIMO 2018 Final-Mock Senior-Secondary No. 23

https://www.facebook.com/103715188085664/posts/504914397965739

367) Problem 367 – Circle Intersections and Distance Links WIMO 2018 Final-Mock Senior-Secondary No. 21

https://www.facebook.com/103715188085664/posts/504914837965695

368) Problem 368 – Hexagon Area using Determinant WIMO 2018 Final-Mock Senior-Secondary No. 20

https://www.facebook.com/103715188085664/posts/507078634415982

369) Problem 369 – A Point in Square and Areas WIMO 2018 Final-Mock Senior-Secondary No. 19

https://www.facebook.com/103715188085664/posts/507079297749249

370) Problem 370 – Numeric Identities and Modulo WIMO 2018 Final-Mock Senior-Secondary No. 18

https://www.facebook.com/103715188085664/posts/510267807430398

371) Problem 371 – Quadratic Congruence WIMO 2018 Final-Mock Senior-Secondary No. 17

https://www.facebook.com/103715188085664/posts/510268817430297

372) Problem 372 – Algebra Problem ASMO 2014 Grade 7 No 24

https://www.facebook.com/103715188085664/posts/511405523983293

373) Problem 373 – Geometry Problem ASMO 2014 Grade 7 No 24

https://www.facebook.com/103715188085664/posts/511406053983240

374) Problem 374 – Cryptarithm Last Digits Challenge

https://www.facebook.com/103715188085664/posts/515765353547310

375) Problem 375 – Areas in Triangle divided into 4 parts

https://www.facebook.com/103715188085664/posts/517978806659298

376) Problem 376 – Hefty Polynomial Division WIMO 2018 Final-Mock Senior-Secondary No. 15

https://www.facebook.com/103715188085664/posts/519762253147620

377) Problem 377 – Integer Part and Fractional Part Equations WIMO 2018 Final-Mock Senior-Secondary No. 16

https://www.facebook.com/103715188085664/posts/519763449814167

378) Problem 378 – 1^k+2^k+3^k +…+n^k divisible by 1+2+3+…+n

https://www.facebook.com/103715188085664/posts/520648796392299

379) Problem 379 – Solve 4^x – 3^y = 1 WIMO 2018 Final-Mock Senior-Secondary No. 14

https://www.facebook.com/103715188085664/posts/524083272715518

380) Problem 380 – Complex Number Power WIMO 2018 Final-Mock Senior-Secondary No. 13

https://www.facebook.com/103715188085664/posts/524083789382133

381) Problem 381 – Circle with Lengths SASMO Senior 2018

https://www.facebook.com/103715188085664/posts/530150562108789

382) Problem 382 – 3 Variable Simultaneous Equations WIMO 2018 Final-Mock Senior-Secondary No. 12

https://www.facebook.com/103715188085664/posts/530151138775398

383) Problem 383 – Composite Function Trick WIMO 2018 Final-Mock Senior-Secondary No. 11

https://www.facebook.com/103715188085664/posts/530151548775357

384) Problem 384 – IMONST 2022 Senior Example Geometry II

https://www.facebook.com/103715188085664/posts/533636498426862

385) Problem 385 – IMONST 2022 Senior Example Algebra I

https://www.facebook.com/103715188085664/posts/533636855093493

386) Problem 386 – IMONST 2022 Senior Example Geometry I

https://www.facebook.com/103715188085664/posts/533637238426788

387) Problem 387 – IMONST 2022 Senior Example Number Theory I

https://www.facebook.com/103715188085664/posts/533637665093412

388) Problem 388 – Tedious Fraction Sum WIMO 2018 Final-Mock Senior-Secondary No. 9

https://www.facebook.com/103715188085664/posts/536735368116975

389) Problem 389 – Minimum for Combined Functions WIMO 2018 Final-Mock Senior-Secondary No. 10

https://www.facebook.com/103715188085664/posts/536737361450109

390) Problem 390 – Diverging Sequence Proof

https://www.facebook.com/103715188085664/posts/537112208079291

391) Problem 391 – Closed under Multiplication

https://www.facebook.com/103715188085664/posts/537112574745921

392) Problem 392 – n2 Last four Digits equal prove n multiple of 100

https://www.facebook.com/103715188085664/posts/537114061412439

393) Problem 393 – AM GM Inequality Mix

https://www.facebook.com/103715188085664/posts/537755094681669

394) Problem 394 – Cosine and Pythagorean Mix

https://www.facebook.com/103715188085664/posts/537756258014886

395) Problem 395 – No Real Solutions WIMO 2018 Final-Mock Senior-Secondary No. 7

https://www.facebook.com/103715188085664/posts/541787480945097

396) Problem 396 – Three Variable Minimum with Two Constraints WIMO 2018 Final-Mock Senior-Secondary No. 8

https://www.facebook.com/103715188085664/posts/541788504278328

397) Problem 397 – Three Friends or Three Strangers among Six People

https://www.facebook.com/103715188085664/posts/546967853760393

398) Problem 398 – Pythagoras and Similar Triangles

https://www.facebook.com/103715188085664/posts/546968213760357

399) Problem 399 – Infinite nested Fraction WIMO 2018 Final-Mock Senior-Secondary No. 5

https://www.facebook.com/103715188085664/posts/548167816973730

400) Problem 400 – Primes in Equations No Real Solutions WIMO 2018 Final-Mock Senior-Secondary No. 6

https://www.facebook.com/103715188085664/posts/548168240307021

401) Problem 401 – Triangle Find Area

https://www.facebook.com/103715188085664/posts/552987723158406

402) Problem 402 – Algebra Challenge I

https://www.facebook.com/103715188085664/posts/554324493024729

403) Problem 403 – Algebra Challenge II

https://www.facebook.com/103715188085664/posts/554324959691349

404) Problem 404 – Find Largest Integer Factor in a Cubic Equation

https://www.facebook.com/103715188085664/posts/555975952859583

405) Problem 405 – Angle bisector and median Perpendicular in Integer Triangle

https://www.facebook.com/103715188085664/posts/558360955954416

406) Problem 406 – Challenging Geometry Mix

https://www.facebook.com/103715188085664/posts/560037539120091

407) Problem 407 – Cube Root Guessing WIMO 2018 Final-Mock Senior-Secondary No. 3

https://m.facebook.com/story.php?story_fbid=523541812896470&id=100057219678954

408) Problem 408 – Recurrence Relation WIMO 2018 Final-Mock Senior-Secondary No. 4

https://m.facebook.com/story.php?story_fbid=523542642896387&id=100057219678954

409) Problem 409 – Tangent of Triangle with Circles and Area

https://m.facebook.com/story.php?story_fbid=524105406173444&id=100057219678954

410) Problem 410 – Rotation by 60 Degrees Trick

https://m.facebook.com/story.php?story_fbid=530332912217360&id=100057219678954

411) Problem 411 – A Differential Equation

https://m.facebook.com/story.php?story_fbid=533740435209941&id=100057219678954

412) Problem 412 – AIMO 2017 (Grade 9) An Algebra Problem

https://m.facebook.com/story.php?story_fbid=534888968428421&id=100057219678954

413) Problem 413 – AIMO 2017 (Grade 9) A Magic Square Product Problem

https://m.facebook.com/story.php?story_fbid=534889685095016&id=100057219678954

414) Problem 414 – AMC 2021 Intermediate last 5Q

https://m.facebook.com/story.php?story_fbid=535195421731109&id=100057219678954

415) Problem 415 – Sum Fixed Product Integers WIMO 2018 Final-Mock Senior-Secondary No. 1

https://m.facebook.com/story.php?story_fbid=546491230601528&id=100057219678954

416) Problem 416 – Multiple of Power of 5 WIMO 2018 Final-Mock Senior-Secondary No. 2

https://m.facebook.com/story.php?story_fbid=546491683934816&id=100057219678954

417) Problem 417 – Mixed surd Equation

https://m.facebook.com/story.php?story_fbid=548292637088054&id=100057219678954

418) Problem 418 – IYMC Qualification 2022

https://m.facebook.com/story.php?story_fbid=554461636471154&id=100057219678954

419) Problem 419 – Sangaku

https://m.facebook.com/story.php?story_fbid=568932271690757&id=100057219678954

420) Problem 420 – ABC is Orthic Triangle to Excenters-Triangle and I its Orthocenter

https://m.facebook.com/story.php?story_fbid=569382104979107&id=100057219678954

421) Problem 421 – Four digit integer n such that 9n reverses the digits

https://m.facebook.com/story.php?story_fbid=570815331502451&id=100057219678954

422) Problem 422 – Equilateral Triangle Symmetry

https://m.facebook.com/story.php?story_fbid=570815791502405&id=100057219678954

423) Problem 423 – Number Pattern in a Triangle Various Possibilities

https://m.facebook.com/story.php?story_fbid=572502998000351&id=100057219678954

424) Problem 424 – Rate of Work Tricks

https://m.facebook.com/story.php?story_fbid=580664127184238&id=100057219678954

425) Problem 425 – 3 Digit Number 1 more than multiples of 9 and 8 and 1 less than multiple of 10

https://m.facebook.com/story.php?story_fbid=580664623850855&id=100057219678954

426) Problem 426 – Neat Algebra Challenge

https://m.facebook.com/story.php?story_fbid=580665120517472&id=100057219678954

427) Problem 427 – Surd Inverse Addition

https://m.facebook.com/story.php?story_fbid=592537489330235&id=100057219678954

428) Problem 428 – Trigonometry Trick for a+b over a-b

https://m.facebook.com/story.php?story_fbid=592537922663525&id=100057219678954

429) Problem 429 – Find Minimum of k given the number x(k) is 19 times the average of the 2014 numbers

https://m.facebook.com/story.php?story_fbid=604842274766423&id=100057219678954

430) Problem 430 – Find Maximum of k given the number x(k) is 19 times the average of the 2014 numbers

https://m.facebook.com/story.php?story_fbid=604850964765554&id=100057219678954

431) Problem 431 – Determine the three digit number with the most number of factors

https://m.facebook.com/story.php?story_fbid=604853954765255&id=100057219678954

432) Problem 432 – How many 2 Digit Numbers divisible by Sum of its Digit

https://m.facebook.com/story.php?story_fbid=604855334765117&id=100057219678954

433) Problem 433 – Divisibility Rules for 3 and 11

https://m.facebook.com/story.php?story_fbid=604857308098253&id=100057219678954

434) Problem 434 – Algebra Rewriting

https://m.facebook.com/story.php?story_fbid=604858518098132&id=100057219678954

435) Problem 435 – Trigo Sum to product formula

https://m.facebook.com/story.php?story_fbid=604859058098078&id=100057219678954

436) Problem 436 – Find area given p+r is 54 p – r is 24 and Q = 2R

https://m.facebook.com/story.php?story_fbid=604861068097877&id=100057219678954

437) Problem 437 – GP for Equation

https://m.facebook.com/story.php?story_fbid=619229256661058&id=100057219678954&mibextid=Nif5oz

438) Problem 438 – Correction Term Algebra

https://m.facebook.com/story.php?story_fbid=619230646660919&id=100057219678954&mibextid=Nif5oz

439) Problem 439 – Harmonic Sum Trick

https://m.facebook.com/story.php?story_fbid=619231133327537&id=100057219678954&mibextid=Nif5oz

440) Problem 440 – Harmonic Sum Trick

https://m.facebook.com/story.php?story_fbid=619231566660827&id=100057219678954&mibextid=Nif5oz

441) Problem 441 – Parametric Differentitaion with thetha

https://m.facebook.com/story.php?story_fbid=625507126033271&id=100057219678954&mibextid=Nif5oz

442) Problem 442 – Straight lines difference 7 n 5 n 2 for x y intercepts m

https://m.facebook.com/story.php?story_fbid=625507979366519&id=100057219678954&mibextid=Nif5oz

443) Problem 443 – Prove equilateral triangle if relations holds true for all m in (0,1)

https://m.facebook.com/story.php?story_fbid=655600463023937&id=100057219678954&mibextid=Nif5oz

444) Problem 444 – One Variable Calculus Exponent Inequality

https://m.facebook.com/story.php?story_fbid=683367463580570&id=100057219678954&mibextid=Nif5oz

445) Problem 445 – Min for sum of reciprocals with extra condition

https://m.facebook.com/story.php?story_fbid=697336662183650&id=100057219678954&mibextid=Nif5oz

446) Problem 446 – Philippines Math Olympiad PMO 2023 Problem 6

https://m.facebook.com/story.php?story_fbid=708647374385912&id=100057219678954&mibextid=Nif5oz

447) Problem 447 – Philippines Math Olympiad PMO 2023 Problem 7

https://m.facebook.com/story.php?story_fbid=708647904385859&id=100057219678954&mibextid=Nif5oz

448) Problem 448 – Philippines Math Olympiad PMO 2023 Problem 8

https://m.facebook.com/story.php?story_fbid=708648141052502&id=100057219678954&mibextid=Nif5oz

449) Problem 449 – Area Triangle split to quadrilateral and 3 triangles

https://m.facebook.com/story.php?story_fbid=720700526513930&id=100057219678954&mibextid=Nif5oz

450) Problem 450 – OMK 2019 Bongsu No. A5

https://m.facebook.com/story.php?story_fbid=733269528590363&id=100057219678954&mibextid=Nif5oz

451) Problem 451 – Canada 2023 Winter Mock Olympiad No. 2

https://m.facebook.com/story.php?story_fbid=744741060776543&id=100057219678954&mibextid=Nif5oz

452) Problem 452 – PAMO 2023 Rwanda No. 2

https://m.facebook.com/story.php?story_fbid=766663501917632&id=100057219678954&mibextid=Nif5oz

453) Problem 453 – Algebraic Fraction Power 8 denominator Sum

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid029TZmZPHZG7asfbvWc7EnQ5ozXRqCgH1V8MKc8Bm7c53vGC1gpjimacJf85aE3svpl

454) Problem 454 – A Beautiful 4 variable Inequality with a Negative Maximum PAMO 2018 Q5

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02TjMUngvRPUEkXzZVVR8ryXb87GS9eiNxwsNi6KfHwH3gKxYsvmhSGHot2LThcPZjl

455) Problem 455 – Value of x IMC 2018 Q18

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02bUL1gSYjRdDt4hQyXSdYuusXhM1X2e89PiEs4FTeFf382vkcHay4Zpnh8VyBqzoUl

456) Problem 456 – IMONST 2 2022 Junior No. 1 – Circle Problem

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02A3SrLeVVddjdawFusG3jz6gfuS6B8GBz1jv9CyPxWhKc1YJbBwgKyJPHXTH3bipUl

457) Problem 457 – IMONST 2 2022 Junior No. 3 – Prove Impossible to get m+n is 999999999

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0g2BU1JtPo7g9c774L67jL15GyHbWjtd5WN9fYLm1jVxv3UoQZQvz6jaEwnSLhq9vl

458) Problem 458 – IMONST 2 2022 Senior No. 2 – Integers with Product n and Sum Zero

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02xASPKZL7GzyBBgbuRsRvFrP6KSxn5vLGvhdFquQco1BAGn32WVrnaGs8pUPaLoqHl

459) Problem 459 – IMONST 2 2022 Senior No. 4 – Pentagon Angle Equalities

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02B9zMaRYJJHucc718KEK26UJXSVAebcm4LYKDUSDwMkKNdemgoqd81yWAaCnD1Kt9l

460) Problem 460 – IMONST 2 2022 Senior No. 5 – Mystery of Fermat’s Infinite Descent

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0286CKoiUJkioLLTgqr29iYjups11sWnvLviGAnwfbyVtxdsZvhcumrS7Em4ePAz4hl

461) Problem 461 – Line Segment relations on a Chord of a Circle with Conditions

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02QepFMNzdxsKWacMjQkVQivxV3NaJBixjm7VRijNB53Hz5jDZ8bUTkw43aBEEQrXel

462) Problem 462 – Long Equation pqrs in positive integers

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0T5hS5H9AqHc4Gno5VrA1f6Wqqz8raU6aYVawoeWA3kDpFTooc8ABcHCMHih598nEl

463) Problem 463 – Prime Number Question

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0vvhyRyWmiDtoKa19KU3mfD9Gyd6tdpiJqduMUaxnSXMWdaHfckUz6J1xAJ6Gt7Bwl

464) Problem 464 – A Beautiful Triangle Diagram

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02zRWXGLoC6uHzA1RPgwntKTjPna3puF6QnYguqNYpBdZbhTVPf94GYccDKFt1ieXKl

465) Problem 465 – Arrangement in a Circle

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0TSu2ptPZxn5Kr1d9RF8ZNinX2TSyiL4Uj1MRSMbWytpG6uqMdN36ro3uPtYJCRWZl

466) Problem 466 – Right Triangle Set

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02Sz9YQF6SC4AahrooybyfGisMLHxYiEotSQFuKBFLSsfMAc7i5LJkPyAMchocc9stl

467) Problem 467 – Inequality minimum with surd condition

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid022KH2ttZGhC77DtKAAdLkfxcB8WjvnZkLCU6NA5s1XuMk2kWND82c5W8wiYdnU7e9l

468) Problem 468 – Minimum Value Trick with Cauchy PMO Qualifiers Part 3 highest 2023 No. 6

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid027grWua6V1cVWo4r3MdHSwB1N4DiBQPkJ6v5HrsG6YLcfmgyDXLx6tgiQW3aMwuPgl

469) Problem 469 – Interesting Prime Forms PMO Qualifiers Part 3 highest 2023 No. 8

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02ctp5b9nixCAYvJrQEg57W4BKNf7BS5HARapmTDrL5ss4BWwW2BRL4B4WFEtT7Xmfl

470) Problem 470 – Square inscribed in right triangle – PMO qualifying 2023 Part 3 highest No. 4

Question and a Solution Attempt is in images or in link below:

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid035asVW2UNWBddUSfFbcbrcQ9nSJRT4L3Kpw9MA5fxYK3ybDqnuor527ttqXYwTKfCl

471) Problem 471 – Advanced Integration

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0ijH4zfsh4RPNz13Q97nmsmUxygh14Di3Smu6hSotyqPJWmXkgJPjnxXSaMieaMNAl

472) Problem 472 – Area of Trapezium Independent of Variable – PMO qualifying 2023 Part 3 highest No. 3

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02YVB1dhaTTLoXqTnRBueXnpo4szkNToTAKie8DBNsT6wPbpRXRL5DWkD4JqHk4cFBl

473) Problem 473 – Trigonometric Rewriting Trick with arctangent

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0kMS2dqV3Y9F7CMxguWkT5BnoyuLgojCtkN8QMgoc1JQia8Nkq9npVrt2ckrsGYbpl

474) Problem 474 – Integer Functional Equation and its Size PMO 2024 No. 1

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02u9E3qcFF6TJwHTQ93HqU1ke5fgz96HAPsz4YzGD5JHte3F9WxqippPiP3PX5EoDDl

475) Problem 475 – Area of Triangle trick when sides cut in equal ratio

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0DsYSiAbHeVhBCB8AdGMXi7F6HDjuP79vhgbgXjZw8ftL6jHt7XXEU2HXT3uPbUgPl

476) Problem 476 – Euler’s Totient Function in Euler’s Theorem PMO 2024 No. 2

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02WFfq5PXUsNaATjHNz2VvdxoVf3eSaBMxLBVBaBDXPJQq4xWiQB5Cop9Wpss6ML1Rl

477) Problem 477 – Euler Revisited in Last Problem of PMO 2024 No. 8

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid04o9qdxFHnP4KgsZUCQfYWC5znhYYbKXBSUMM4zS423bDNTrgkniU13RBmy8bTsJcl

478) Problem 478 – Area Circle Cut and Paste trick 5th ITMC 2023 No. 5

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02jrB6ktE6p3GsQqfaqa4D2tArgxxiu9CMwcWSQ7VrdQrc2oTRtSGtuBN5qZQysCgil

479) Problem 479 – Three variable algebra trick 5th ITMC 2023 No. 15

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0PKEqJn6rXv7H4umdXJmiQhQezdVbg58A9uD3PG2Z9dYRkmJ5u3HPJbppD2j2Ue3yl

480) Problem 480 – How many rectangles include 2 given

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid05sqxb798jybc55fAFvaeUZfZb4EJiG1EJi1vmAXNF1FexL8kDTR99WK471rXwy3kl

481) Problem 481 – Triangles with same area 5th ITMC 2023 No. 6

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02UUuoguqNPNBYWv8Cqvkzzg7R2MHW729G2SJFJ13Yq4JDPB8tu2htZ1x4FRk8qX2hl

482) Problem 482 – Number in Square Grid Sum Pattern – WMI Sample Grade 10

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid01UrT6xoTud9LqjdgWYsabMsJgy5z6LVrRFHG69ZwHLQQQ3W67iquBdv6AC4nyocUl

483) Problem 483 – Log base 2 Surd Calculation – WMI Sample Grade 10

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02DkuHX8msSp1b8oVS6XpHbQbGJtq66fjgJ1VEP2t6DjbLKU3vKYev592tvsDQ2WmAl

484) Problem 484 – YES Alphametic – SIMOC Secondary 4 Sample No. 18

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0ciY6nnLbCLoAta6WHsBQ5k6xwJgckCcoMLFN2oSEa3fwc6yZN9hAkGddMvU3M7Fl

485) Problem 485 – Triangle Area if side surds – SIMOC Secondary 4 Sample No. 25

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0344oCC1toY1ZtHFoWFkZTRZi9qWA5ptADtZUKtHwpmth2WNvtgeFvcR9JtN5oHjJul

486) Problem 486 – AP with fraction and alternate integer terms

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0oxpCTFq1UgTnpD8yf1HFMyEqTDAXsxZX3M2iK7N9V14xxXWo8CrBb1t4vVX21aWql

487) Problem 487 – Triangle Geometry – SIMOC Secondary 4 Sample No. 24

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02JrXxCzUtP1Mn6mwTQWLcJmUKMS4qgY14sQ7kH4er2haoo9zfSMsiHTjPTmpjaWbTl

488) Problem 488 – Angle Chasing with perpendiculars

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02VQfqKEbnvCPqFFXNjceBNBYnnaNMcwHN6i46mg796KQiQ5CFDKtopNNvQ3eEgy17l

489) Problem 489 – Nigerian MO – A square based Telescoping Sum

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0CRNs7zHGbkkpyruqpA1GwiDewqpzSgGs2nk48qMFd6VbrUTYvkiM3P3RGuXspVggl

490) Problem 490 – Nigerian MO – Solve in reals a Quartic

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid028RQy94ghUJraLQzvvTfPpbxbugeTwLmqUSnTCN9ZQNnbhqJnXeEXWJN4WcmjJpCDl

491) Problem 491 – Nigerian MO – A nice consequence of Wilson

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid078H7ErKvBj5P3oTwSqH37C9PERULDFbogjnBFBBfaMpTNzqBQX8VscTw1h4SscYAl

492) Problem 492 – Angle Chasing with length addition

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0f3cEYUbPuYnqgDfHS1FqtRHqATDNeBC3icAyT7RTPWTbxgq5tYRg8NkwZnTcHBhnl

493) Problem 493 – Solve a Trigo equation without calculator

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02D36D1DNuwiUi835LZHiEZu336cKxtnuGj7GKHwnDb74YitFouPorqt1AZ63gkthSl

494) Problem 494 – Find Perimeter of a triangle with angle 45

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid08ig6stsMpdskVBXC4erzGcWyJ6G43ZwG9FbeqhAmikigVnzXVqu52TyCceZ2ZuXml

495) Problem 495 – Prove ABCD is cyclic BdMO 2023

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02AQCcs4nYTjm9XAHprG5eSP2Kz7Sr9cJhYcbVnLKuAxoatpdxW9eBGgNx3n2pphegl

496) Problem 496 – Integer Solutions for x^2 + 4 = 12y BdMO 2023

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0G5UGvZrJmL5eAZNTjGEsoz3oA4MszyN1orczxC4K8YhurYj3nUv9aviTND4Tc1o5l

497) Problem 497 – F(n) as smallest integer does not divide n BdMO 2023

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0cyGQXNPZxH8KWSvQAhoiLANkH1jRq67LHrPn8yURn9Lwg9Gy9UvfXC7ihVTxtR5zl

498) Problem 498 – Factorial Diophantine x!+2^y = z! BdMO 2023

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0T4vwnmsuVpPFavJs4dMG3TDsUM8arhTj2nihJ9zbCQTJNgu5d9PZZRWGDSgnC9cWl

499) Problem 499 – Function in Swiss IMO TST 1998 No. 1

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02zqe4DQ8qZKXiSAucLUuxhfPcFZrMj5Fnk3eYAJD1jmB6uy3siSBtEFTsGeX5ZuAUl

500) Problem 500 – Nonnegative integer Equation in Swiss IMO TST 1998 No. 2

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0or57SDFdL2zPTHwWSG3u6nMz9G942kz3xvw9yNnRaceCfCPrmqdFdVPqehiDXxA4l

501) Problem 501 – Triangle Inequality in Swiss IMO TST 1998 No. 3

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0SbkBJYTqSxZMDZg2B5QcM78hdJqqYuM243CtqNnZj9KWbAoshQFZvX99UDq53YBQl

502) Problem 502 – Number of Divisor n Primes in Swiss IMO TST2 1998 No. 1

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02RevLEM3i8h55VZ4cx2fajWPn6MkHNjwkgcZsV8rBk5r8tmU7Xj8N5DqgWrLLo5z9l

503) Problem 503 – Highest Powers of Primes dividing n!

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid025X2eFxUFWWyQHZKfgyz4HBDRDDFcsLQUj2B6BXawf7DJxfXf3ybaLZq4CCCmhTncl

504) Problem 504 – Trigonometric Equation Pan Africa PaMO 2000 No. 1

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid021zv3oAsUPNaNbQ4wWe7perdLza5pdouCe2X8PUqkow9rc1Eix8oczFLC9PvQDkG1l

505) Problem 505 – Recursive Polynomial Pan Africa PaMO 2000 No. 2

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02PfNrxs6ZH37srP6mQtAMFood4AEBekGbrBWjJAwZdt4cFg1jkRFg6hPfYkyvuS4Ql

506) Problem 506 – Alternating Harmonic Series Pan Africa PaMO 2000 No. 3

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02884r7UufHQBwxrAYjTxz4HTiAKQntkAVHLRj44ZNEkJbNGoFNn67GNd16sCTa29jl

507) Problem 507 – Solve Real Equations Pan Africa PaMO 2000 No. 4

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0Jy1V9sKuCDih56jrzezAPhB9Hva5TGc45rD4894MQUG3QH2tyuvqzova6jtRiDwnl

508) Problem 508 – Point on Cicle and Square inequality Mediterranean Mathematical Competition 1998 No. 1

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0j4noyX6evAKisWZd5D5rfMucb6XinASknGoL3xrrkjot2yXRhKTH82P6N4JJ8SBal

509) Problem 509 – Product of Sin a and Sin (45 – a) trick

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0DrPum8PKGFV7zKUXT9RXLpEMLBGmvJahcpmYxVqRwWdyby5QkYTaYxeyEQdmpuBVl

510) Problem 510 – Inequality Nordic 1987 No. 4

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02R3YQHyU96UaCbikM9bjayGTsvG2jzDUYvTV9hs5hEiospyTrVKsVQHbp9iTMUaTKl

511) Problem 511 – Z^(2n)+Z^n+1 divisible by Z^2+Z+1 for which n Mediterranean Mathematical Competition 1998 No. 2

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02XbhhqThckZEHkCsDXwj3xapDf4z9xsxQSKVSnjn9A4nqG6NmAzPpyDDX13wC2UMUl

512) Problem 512 – Difficult Harmonic ln Approximation

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02rQ4CKfLPkXhfnuP3qD6cyhwnNkeNrxo7tQUwqQFhBzUK8vZF2DrE3qNL7Nz6hZ2hl

513) Problem 513 – Integer Equation 1st IberoAmerican MO No. 1

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0roKWdkurSu4owQswq4keiZyy6p8m6ZSWNMMdvcjVNvzdsRjyV5e6FZepbxLvBV4Fl

514) Problem 514 – Functional Equation 1st IberoAmerican MO No. 5

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02yaNAShfUNj75rVBkZpb9jxEs4ZYA17sCEWVnJDKhyPSVUb6gAAyhmh722UKNRDQCl

515) Problem 515 – Point inside Equilateral Triangle 1st IberoAmerican MO No. 2

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02S2DsQPpGm61mpBnd9SHxaEfPj8MJbjTGHyupwrskN5yp2LXdFHryduGZZ8jK976Tl

516) Problem 516 – Functional Equation f(2a) +2f(b) = ff(a+b)

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0oSvkyx3RJhpXsAzQTVGvbo9wErf3VwdKsSB9mAQSSwYSBmDti7Yj7ghEvYN2goDYl

517) Problem 517 – n^(n-2) as a power of n Czech n Slovak 1st Round MO 2021 No. 3

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02w5tEUTGSrqQ3H8eokLDB2NhaoKEH2GMF5KkA2jrUrdYu4fnxC8rSkB2BXsCGLTiul

518) Problem 518 – a^(a-b) = b^a Czech n Slovak 1st Round on-site MO 2021 No. 3

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02UcVud9SxuomkCNzqC7JBoXCVJjZsnWNFy5gh8ExDhWVA8TGAhxTgPKy4zkxt2JBel

519) Problem 519 – Beautiful Simultaneous Eq Czech n Slovak 1st Round MO 2021 No. 4

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0RZ9FREf8fyaut8JK67gwmr1JPGqHeWBk3ucQuUdLoYMHuTSjYzdxp19g7WZVCPT1l

520) Problem 520 – Another Beautiful Simultaneous Eq Czech n Slovak 2nd Round MO 2022 No. 2

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid04okrJ3EWy7L511yFiS3U7LBMvZpCAzeaTDGLpPfyEAfYtPHE1YipwixY6eP6ejwjl

521) Problem 521 – n^2 + 2^n is a square Czech n Slovak Final Round MO 2022 No. 5

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02VPbxA5nzAmkgTkBamUwR1b4Rheu2MpuoNtCNGXKWRmDtNL8wVpTPrCHzxTdhGPwnl

522) Problem 522 – Functional Eq with Inifinity Trick – Czech Polish Slovak Match 2022 No. 2

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0YMHNq8mxqYaqHheZcgBBGM9Z8nfD92DJJgGvJgj3YJidWYTfq33bxWE9xBcWhM8Ql

523) Problem 523 – Presh Talwalkar Square Problem Variant

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0Fc5cADkotJnmRowwEP1CNS2CmEUzyGe3LnmL1nuq4LHgbVSTFTpn6TCCtApoLRmsl

524) Problem 524 – Range for x defined HSE Uni Ghana MO G10 2023 No. 4

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02AZivvTRyCvKAmv73MQE5cHUuCxsJdbJ6LtAfmZpVpMPzd31gT2ESSchnMJLfYpfrl

525) Problem 525 – Problem 525 – Isosceles Triangle HSE Uni Ghana MO G10 2023 No. 5

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02NpMTPyrNGXEURgycKe3zyrVgjiprUT16b6XEjEmpWiGAfz8jmcU3H6MJZvm2ThtKl

526) Problem 526 – Solve [50x+97]=50+97x HSE Uni Ghana MO G10 2023 No. 8

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02rYoNn7EB8noRZcJG62HoCCkPAsxB78YDEm69DTVRvwEByVBLMVgvF3Smh6Y3sNdVl

527) Problem 527 – Tangent and Circles HSE Uni Ghana MO G10 2023 No. 7

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid08aqQFEi89uVKQrcZZ467nGBvBRu5mPgFmSQE763U56AcwRX2mh9iVNqKzz2MkFF7l

528) Problem 528 – Primes p = m^2 + n^2 HSE Uni Ghana MO G10 2023 No. 10

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0vx8jow4KFnLBZ6jGjHjftffmBZWk8MGyxrGiYkaBkaoRpNe1HdqXKKF4F3o6JYhHl

529) Problem 529 – Sum of Squares or SOS HSE Uni Ghana MO G11 2023 No. 1

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02PJy38KERLcaeHLJAqQQcopFYKQPJxdp77nxhg2oFmrRxyb9DLfKTE6hzsCvNRJTkl

530) Problem 530 – Surd in Quadratic SOS HSE Uni Ghana MO G11 2023 No. 3

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02o9ZqS6BCVvabzUGERYd7SYWduhm1PKrsmEiGNL1QueytfeSqKReb1EpKuVbc3iXZl

531) Problem 531 – Fermat’s Little Theorem HSE Uni Ghana MO G11 2023 No. 10

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0gk9JYoaki3ySfC5Yx8Eaf8MAALamJH842M5b7RQ6dXkAqt6HF1y4yZCQuVuQbD6dl

532) Problem 532 – Solve 1′[x]-1′[2x]=1′(6{x}) HSE Uni Ghana MO G11 2023 No. 7

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0rsUZGkYhUfnzdqTm3fwa3qy4G25naskULsrJ49djRhiYSm5cyAo9kfeo3fFz9uVul

533) Problem 533 – Given PB = PC + CA HSE Uni Ghana MO G11 2023 No. 8

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0DE9XgFXTMS9pHzifYSUaySTXfzwB2n9XiiFqnU9tNxzaXUaCBJN6FXs75QUx2Fvyl

534) Problem 534 – Show a bigger than b if a^3=a+1 and b^6=b+3a Brazil MO Final 1994 No. 4

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid033nFCAnTSJ29zvjPht4o3KqVu3njpp9sY2vMHkCizcYLfVZttxW4wuK1Dmbr7AnEZl

535) Problem 535 – Solve f(x+1019)=f(x) and f(xy)=f(x)f(y) Brazil MO Final 1995 No. 2

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02sjPchuo9kBDpZHxCYX4f7RXZH35CjWKzBwttWqyXkMPBArkz5hQGtswbBRjHXKQZl

536) Problem 536 – Solve gf(x)=x^3 and fg(x) = x^2 Brazil MO Final 1997 No. 3

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0CCXSC8324MJU2b7WwBPAFQmUQesTYVmpNQyb2CXTQhwfZigemG5MH1kL7c4zH6V8l

537) Problem 537 – Diophantine p^x=2^y+q^x Brazil MO TST1997 No. 3

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02rCPFijgq8AyoRv4F6zcsqf9LKeL8UWhcEwY2gVoB7qdkvnLAK5XTWQpAd8c1WWcUl

538) Problem 538 – Integer (n^3+3) over (n^2+7) PAMO 2001 No. 1

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0315Rpbh6BnYhcwBWtLiAwSfY4QGnYawm5F8rcyfcxDicXGzqivKZ53GFoJ2884CaXl

539) Problem 539 – Sum of squares xi^2 + (a – xi)^2 = na^2 solutions PAMO 2001 No. 4

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0sumy7ZU7qsRfQetwwC99vr2dUz689tmeF8uzcXmhXVXzwwKN52gxuEV4AEy7danbl

540) Problem 540 – Sum of Greatest Integer Function [sqrt (i)] for i =1 to i = 2001 PAMO 2001 No. 5

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0XDtGErCHqwx8JasHNV1wDf36s7P3nJFwCgEkc3qm9cEs8hSWKMmYfB2zJPqatSwBl

541) Problem 541 – Solve ff(n) = f(n) + 1 PAMO 2002 No. 1

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0mdznzUSqSj2TKBebPNfVfSCP89iVHmGso3uckRFKb4oSXK9j58JVokSzVALX7yWfl

542) Problem 542 – Number abc as a Multiple of 37 in Moldova MO 1996 G7 P1

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid02S39nTpefAiAU5V2w4bWVd9P87D1gK7rP12oBoghoUoBsta1NDEKAKy6Y2LaB5zqsl

543) Problem 543 – Largest Ratio of a 3 Digit Number and its Digit Sum in Moldova MO 1996 G7 P6

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0SFAc3La2iwZDZsuozNHW6uT5pKCnefWcm16qRKPCn8Y84ARkeDN6CRdsyvcMBD8Jl

544) Problem 544 – Minimum difference of Rationals with denominators 8 and 13 in Moldova MO 1996 G7 P2

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid04tPvtUcSE7GYUJYmff3n4RFhAm3o3JC6g7h45F4XRNcx446D4Q6dxY6yoo4do2tql

545) Problem 545 – Geometric Inequality DB – DM less than AB – AM in Moldova MO 1996 G7 P3

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid0fyCTsMCBmdEWEDEzpXbEFTN7G1Z9vAiG2Z6evLHCx1ntvJhP4JLg3gnhYKPMaKpjl

546) Problem 546 – A Neat Right-Angled Triangle Fold: Trigonometric Implications Within a Square

https://www.facebook.com/CoachJonathanRamachandran/posts/pfbid032aETfup5Bgg58Nzh4D3LJ9Nte8D1GidAfRr2kUrc9f9fMeWLFZFjceYFVzd7Kboml

Thank you

Jonathan Ramachandran,
B.Sc., Th.D. (Hon.), D.Div. (Hon.), D.Min. (Hon.)

My CV (14 September 2025) Link:

https://drive.google.com/file/d/19YuhL31EpC4l3JnHcbbQNio-ueogAEXQ/view?usp=sharing

#My ORCID Link: https://orcid.org/0009-0008-4669-1077

#GoogleScholar Link:
https://scholar.google.com/citations?hl=en&user=Bv7IFrAAAAAJ

#Academia Link:
https://independent.academia.edu/RamachandranJonathan


#freesecondarymatholympiadsolutionbyjon

#CoachJonathanRamachandran #AnonymousChristian

Class Marketing – On Sunday (5 April 2026), I received some good news from a former student whom I have probably coached for the longest period. She did well in her A Levels (name withheld for privacy). Briefly, I first taught her Olympiad Mathematics in person at her home when she was younger. She not only performed well in several Math contests, but eventually won the ASEAN Scholarship and went on to study in Singapore.

Later, we continued with paid online classes (I skipped teaching Statistics at A Levels onward, haha), and she continued to do well. Congratulations!

By Jonathan Ramachandran

She wrote: “Hi teacher Jon! Happy Easter 😀 hahaha thank you so much for helping me with math and I’ve gotten my A level results back and I did well 🙂 couldn’t hv done it without your help 🙏☺️”

I replied: “Hi XYZ, good to hear from you and Blessed Easter to you too! Good to hear you did well for your A Levels & all the best in your next course of life! 😇😎”

For one-to-one Zoom Math class enquiries (preferred), please contact me at +60108803763 (WhatsApp message preferred). Thank you.

Advertisement: Good news on 1 May 2026: Class promo—new slots are available for one-to-one lessons via Zoom. Please WhatsApp me at +6010-8803763 if interested.

Respected Parent: “Good evening Mr. Jonathan, I have good news and I want to share with you. Thanks for your teaching and so AA can get Gold award in APMOPS. … If so, hopefully Mr Jonathan can help AA prepare for it. Again, thank you very much and I really appreciate your teaching.”

Myself: Hi Mr. AAA, oh sorry I am in class. This is great news! Congratulations to AA as he is a bright student! 🙂 APMOPS is very respected private Olympiad and I am very glad he achieved a Gold in it 😀. Definitely, will be my pleasure to continue teaching him what I know to help him prepare further in this competition and beyond. Thank you so much 😎

[Text]: Compare this: there are many Chinese vernacular schools in the country, along with numerous respectable private Math and other Olympiads for their students, without waiting for government funding or relying solely on government-based contests (which also exist separately).

In comparison, among Tamil vernacular schools in the country, I have not heard of even one Math Olympiad contest. Can the community and funding organizations not afford to organize one? I have proposed this in the past with others, but none of their “education foundations” have shown interest so far, or they claim there is “no money” for it.

I believe this is a betrayal of the students—one must pity them—by a community that lacks educational initiatives of this kind within itself. I am ready to contribute to its formation, not out of prejudice nor as a racist, but because I also belong to this marginalized community and have seen that there are no proper, high-quality Math Olympiad contests available for them by themselves, independently either.

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