Asian Science And Math Olympiad (ASMO) 2019 For Grade 5

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11. All 106 students from year 5 bought a book. There are 75 students who bought ‘Maze Runner’ while there are 60 students who bought ‘Harry Potter’. How many students bought both of the books?

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12. Xin Wei and five of his friends participates in a mathematics competition. The results of his friends are 79 marks, 82 marks, 90 marks, 85 marks and 84 marks respectively. Xin Wei’s result is 5 marks higher than the average result of all together. How many marks did Xin Wei get?

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13. During the school sports day, some students are holding two different colour balloons each. The balloons are coloured red, yellow or green. There are 56 red balloons, 60 yellow balloons and 46 green balloons. How many students are there that are holding red and green balloons at the same time?

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14. A kindergarten teacher distributes some biscuits to the children in class A and class B. Each of the children got 6 biscuits. If the biscuits were distributed only to class A, each child will get 4 more biscuits. If the biscuits were distributed only to class B, how many biscuits can each child get?

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15. 18 cubes with an edge length of 2cm is arranged as shown in the diagram below. What is the surface area of that arrangement?

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16. What is the largest four-digit number that is divisible by 2, 3, 5 and 7 continuously?

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17. There is a two-digit number. If a 0 is added between the two numbers, the value of the number becomes 6 times larger than its initial value. What is the two-digit number?

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18. 200 divided by a number will have a remainder of 4. 300 divided by the same number will have a remainder of 6. 500 divided by the same number will get a remainder of 10. What is the largest possible value of this number?

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19. A brick has a length of 20cm, width of 12cm and a thickness of 6cm. To make a cube, what is the least amount of bricks required?

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20. 5 toy cars have the same price as 3 toy airplanes. The price of a toy airplane is RM8 more expensive than a toy car. What is the price of a toy airplane?

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21. A train requires 1.7 minutes to go through a tunnel of 2400m. With the same speed, the train requires 48 seconds to go over a 1050m bridge. How long is this train in meters?

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22. There are 9 pieces of card in a bag. Each card is labelled with 1, 2, 3, 4, 5, 6, 7, 8 and 9 respectively. If 6 cards is taken out at once, how many possibilities are there for sum of the cards taken out?

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23. \(a\) and \(b\) represent two numbers.
\(aΘb=\frac{a}{b}+\frac{2b}{a}+\frac{1}{3}\) . Calculate the value of \((1998Θ666)Θ(666Θ222)\)

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24. In the 100 natural numbers of 1~100, How many whole numbers are there that cannot be divided by 2,3 or 5?

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25. Based on the diagram below, what is the angle of ?

\(∠A+∠B+∠C+∠D+∠E+∠F+∠G+∠H\)

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