# Mathematical Olympiad for Primary School

Here we present a collection of questions Mathematical Olympiad for primary school level. Visit our website to get the continued collection of questions Mathematical Olympiad latest.

# Math Olympiade 2014 (Part 1)

Below I show the problems the Olympics for elementary school.

1. Find a two digit number such that if it is reduced by 5 it is a multiple of 4, if it is reduced by it is a multiple of 5 and if it is reduced by 7 it is a multiple 6.

2. A certain even number has exactly seven positive factor, including 1 and the number it self. What is this number?

3. A number p yields a remainder of 3 when divided by 5, a remainder of 5 when divided by 8 and remainder of 11 when divided by 13. If p is less than 1,000, find the maximum value of p.

4. A six digits number aba,bab is formed by repeating a two digit number ab three times, e.g 525,252. If all such numbers are divisible by p, find maximum value of p.

5. A pair of positive integers a and b is such that the greatest common divisor is 5 and the least common multiple is 1,155. Find the smallest value of (a + b).

This probles are Olympiad Maths Trainer 4 For 4th Grade Week 2. Solve this questions. Show your working clearly. Each questions carries 4 marks.

1. Use distributive law to calculate each of the following.

(a) 42 x 34 + 58 x 34

(b) 37 x 54 + 63 x 54

(c) 156 x 32 – 56 x 32

(d) 233 x 46 – 133 x 46

2. The first three terms of a three number pattern (1, 3, 6), (2, 6, 9), and (3, 9, 12).

Find the sum of three numbers in the 100th term.

3. Find the sum of all multiples of 5 from 5 to 20.