Asian Science And Math Olympiad (ASMO) 2019 For Grade 4

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11. There are two boxes of nails. There are 72 nails in box A and 48 nails in box B. How many nails must be shifted from box A to box B in order to make both boxes have the same number of nails?

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12. Two siblings, Jason and Cindy saved up their ang pau money that has a total of RM1000 into the bank. When school reopens, Jason took out RM240 while Cindy saved another RM80. At this time, Cindy’s savings is 3 times of Jason’s savings. How much savings did Cindy have more than Jason initially?

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13. There is some oil in a bucket. If the oil is added to be 2 times of its initial value, the weight of the oil together with the bucket is 38kg. If the oil is added to be 4 times of its initial value, the weight of the oil together with the bucket is 46kg. What is the weight of the oil in the bucket initially?

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14. Convert the decimal number 45 into binary number.

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15. A story book has 131 pages. How many digits have to be used in order to print the page number?

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16. There are four types of signal flags with the colour of yellow, blue, red and white. Three of the signal flags are arranged at the top, middle and bottom of a flag pole to produce different signals. How many combinations of signals can be produced?

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17. Cindy mistakenly looked at \(8×( A+10)\) as \(8×A +10\) , what is the difference between the answer that Cindy obtained and the correct answer?

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18. Shafiq participates in a mathematics competition. There are 20 questions in this competition. If a question is answered correctly, he gets 5 marks. If the question is answered incorrectly, he gets 3 marks deducted (not answering is considered incorrect). Shafiq got 60 marks, how many questions did he get right?

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19. \(\left[\frac{1}{2}-\left(\frac{1}{4}-\frac{1}{6}\right)\right]\times 2 = \frac{A}{B}\)

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20. A technician and his student work on 200 spare parts respectively. The technician can finish 25 spare parts every hour. When the technician finishes his work, his student finishes 2 hours after him. How many spare parts can the student finish in an hour?

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21. If \(2Δ3=2+3+4, 5Δ4=5+6+7+8\) and \(1Δx=15\). Find the value of \(x\)

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22. A square, after cutting 6cm from one of the side and 10cm from the other, it becomes a rectangle. The area of the rectangle is 260cm² less than the square. What is the initial length of the side of the square?

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23. 50 locks and keys are messed up. To find the key for each lock, how many tries need to be done at most?

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24. 12 times of a number, if deducted 324 from it, it will be 24 more than 8 times of that number. What is this number?

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25. Two natural numbers have a sum of 998. What is the largest product possible for these two numbers?

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