## MATH Archives – Page 2 of 18 – Anonymous Christian

## A Problem on Scale Factor and Mass

Solution: Scale factor (big to small) = 6/2 = 3 Now, density does NOT matter because being the same object, their densities are the same. Let the density be d. d = m/v m = mass v = volume So, if the small egg’s mass & volume are x and y while the bigger...

## A Strange Math Symbol Puzzle

1) First Possibility The given pictures are the numbers as follows: 20 + 20 + 20 = 60 20 + 5 + 5 = 30 5 – Sqrt(2) x Sqrt (2) = 3 So finally, we evaluate the last picture as follows (notice that the last flower has four petals instead of 5) Sqrt...

## An Interesting Infinite Sum with Fibonacci Series

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## OMK 2015 Muda Solutions

The OMK 2015 questions may be downloaded at the link below (by PERSAMA – Persatuan Matematik Malaysia) : http://persama.org.my/documents/SoalanOMK2015.pdf Here is a possible solution attempt at that paper: (Note: OMK = Olimpiad Matematik Kebangsaan = Malaysian National Mathematical Olympiad ; Category “Muda” is for form 3 & form 4 students):

## OMK 2015 Bongsu Solutions

The OMK 2015 sample questions may be found in the link below: http://persama.org.my/documents/SoalanOMK2015.pdf Here’s a possible solution attempt for Olimpiad Matematik Kebangsaan (Malaysian National Mathematical Olympiad OMK 2015) for the “Bongsu” (Form 1 & Form 2) category:

## IMO 2016 Results for Malaysia

Congratulations Malaysia, Well Done! Interesting that our Malaysian team only solved “Problem 1 & 4 only” in “full” to get “full 7 marks” (allocated for each question) while a few getting some headway in other questions. Good job nevertheless Note: Total questions = 6 Each question is worth 7 marks in full Total marks...

## Solution for IMO 2016 Problem 4

(Here’s a detailed possible solution with full explanations for IMO 2016’s Problem 4): *IMO = International Mathematical Olympiad

## Find A Three Digit Number

Here’s a Number Theory Question: [A three digit number N satisfies the following condition: N is equal to 5 times the product of digits N. What is N?] A Solution: Let N = 100a + 10b + c, where a,b & c are digits between 0 to 9. Then, the problem requires 100a +...

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