Mathematics is a science that is unique. Many people who do not like science, but partly also explore the science of this. Students who are practicing about Mathematics Olympiad is one part that wants to explore the science of Mathematics. If every day was trained, it is not likely they will someday be a scientist who has a strong knowledge base and are useful for human life.

On this occasion, we will prepare questions for the Olympic School level Dasar. We hope that the children at an early age education has a strong science base, so that they become the children of the nation are useful for the world.

1. The figure is made up of a right-angled triangle and a trapezium. The sides of the right-angled triangle are in the ratio 3 : 4 : 5. What is the area of the figure if the length of the triangle’s shortest side is 18 cm?

2. The ratio of the number of apples to the number of pears in a supermarket was 5 : 2. After 630 apples were sold, the ratio the number of apples to the number of pears become 2 : 1. How many pears were there in the supermarket?

# Math olympiad contest problems for elementary schools

Some time ago I’ve written an article about math olympiad for elementary school. On this occasion I will continue to write articles about Math Olympiad for primary schools. I hope this article use for students and teachers in elementary schools.

1. Erch bought 5 pockets of flour and 2 packets of sugar. There were 3.28 kg of flour and 4.6 kg of sugar in each packet. He mixed all the flour and sugar together and repacked them equally into 8 packet. Find the mass of the mixture in each packet.

2. John and Suli went to a bookshop and bought some exercise books. They had \$100 each. John could buy 7 large and 4 small ones. Suli could buy 5 large and 6 small ones and had \$5 left. How much was a small exercise book?

3. There are 13,530 books in the library. 0.6 of the number of hardbacks is equal 0.25 of the number of paperbacks. How many more paperbacks than hardbacks are there?

4. A game normally takes 2 hours and 45 minutes to play. Due to bad weather, the playing time was reduced by 1 hour and  minutes. The actual time, in hours, was ….

# Olympiad Math Trainer Week 4

Solve these questions. Show your working clearly. Each question carries 4 marks.

1. Use simple method to calculate 99 999 x 12 345.

2. Observe the number pattern below.

121, 12.321, 1.234.321, 123.455.321, … .

What the number is the 5th term?

3. Compute 1 + 2 + 3 + … + 49 + 50 + 49 + …. + 3 +2 + 1.

Olympiad Maths Trainer 4. Solve these questions. Show your working clearly. Each question carries 4 marks.

1. Use a simple method to calculate each of the following.

(a) 376 + 285 + 124 + 715

(b) 81 + 79 + 82 + 83 + 88

(c) 173 + 123 + 877 +327

(d) 169 + 171 + 173 + 172 + 167

2. Complete each number pattern

(a) 2, 4, 6, 8, …, …. , …., ….

(b) 1, 4, 9, 16, … , …. , …

(c) 1, 1, 2, 3, 5, … , … , … , …,

(d) 2, 1, 4, 3, 6, 5, … , …

3. Determine whether each of the following sequences has a common difference. Find the common difference if there is. State the first and last terms of each sequence.

(a) 5, 10, 15, 20, 25, 30, 35

(b) 1, 4, 7, 10, 13, 16, 19

(c) 1, 4, 9, 16, 25, 36, 49

(d) 2, 4, 6, 8, 10, 12, 14

. .