Question No. 25 of the ASMO  (Math Olympiad) in Image             A Possible Solution       To Get a sum of zero, we need a minimum of 8 addends from the Counting Numbers 1 to 9 as described as follows:     Up or Down 2, 4, 6,...

Question (in Image below)   (SMOPS 2015 No.30 ) In the following figure, not drawn to scale, B, D, E and C lie on a straight line. Given that angle (BAD) = angle (DAE) = 12 degrees, AC is perpendicular to AD, and BC = AB + AE, find angle (ABC) in degrees.  ...

Question (SMOPS 2015 No.12) Given that 2^29 is a number comprising of 9 different digits, which digit is not in this number?         Solution (Please refer to Image below)              

Question in Image Below         Solution 22) Fact   Perfect Squares can only have last digits 0, 1, 4, 5, 6, 9   Perfect Square CANNOT have these last digits: 2, 3, 7, 8 If (i) and (ii) were true, a number with last digit 2 is a perfect square, impossible!...

SASMO Question in Image below     Solution   21) Notice that   9 = 10 – 1   99 = 100 – 1   999 = 1000 – 1   . . .   999…999 (2017 digits) = 10^2017 – 1   So   A = (10^1 + 10^2 + 10^3 + …...

    KMC 2017 Cadet No. 30 Quadrilateral Area within a Parallelogram   Question and Solution are in Images below:                        

Solve: Alphametic – Cryptarithm 3 x ABC is CCC Question and Solution are in Images below:        

Please find some interesting selected PMONK Math Olympiad 2013 and 2015 Questions and their ‘poorly handwritten’ solutions (sorry) for your edification.                                                                  ...

Question 27 (PMONK 2015 – Level 6) All the Interior angles of a Hexagon are 120 degrees and four consecutive sides have lengths of 5cm, 8 cm, 4 cm and 6 cm. Find the sum of lengths of the other two sides.   Question and Solution are in Images below   Question    ...

Question 25 (PMONK 2015 – Level 6) Given a three digit number abc. Its dgits are interchanged to form five other three digit numbers whose sum is 2013. Find the value of abc.   Question & Solution are Presented in Images below.   Question             Solution      ...