Asian Science And Math Olympiad (ASMO) 2018 For Grade 6

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11. Is it possible if 36 apples to put on 9 plates which is an odd number of apples in every plate?

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Solution

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12. The height of a rectangular cuboid has already cut by 5cm and it has become a cube. The surface area of the cube is 60cm² less than the rectangular cuboid. Calculate what is the volume of the rectangular cuboid in cm³.

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Solution

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13. Michelle was having \(\frac{1}{5}\) of a glass of milk, after that she has added water into it until the glass was full and drink another \(\frac{1}{3}\) of a glass of milk. After a while, she added the water again into the glass until it was full and drank another half glass of milk. Calculate whether Michelle drank the milk more than the water or drank the water more than the milk and how much is the difference?

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Solution

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14. Let’s arrange the odd number as a sequence between the 1 – 2011, if difference them into the grouping of a number, 2 numbers, 3 numbers, 2 numbers, a number, 2 numbers, 3 numbers, 2 numbers, a number, 2 numbers, 3 numbers, 2 numbers…….as the groupings below: ( a bracket means a group of number )

\((1),(3,5),(7,9,11),(13,15),(17),(19,21),(23,25,27),(29,31),(33),(35,37),(39,41,43),(45,47),…\)

What is the sum of each number of the last bracket?

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Solution

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15. If a decimal place has shifted to the left of a digit, then 40.68 of the number had been decreased. What is the original number?

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Solution

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16. The highest common factor of the number A and B is 12 while the lowest common multiple is 144. If the number of A is 36, then, what is the number of B?

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Solution

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17. There are 4 Wednesdays and 4 Sundays on December of the year of XXXX. Then, calculate what day was the 1st of January of the current year?

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Solution

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18. What is the value of the ones of  \(7^{1987}\) ?

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Solution

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19. Jacob and Jasmine were walking home after the school, the walking distance for Jacob was \(\frac{1}{5}\) more than Jasmine, but the time taken for Jasmine was \(\frac{1}{8}\) more than Jacob. Calculate the ratio of speed for Jacob and Jasmine?

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Solution

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20. Two team of member is working under the construction. P team of members has done their work in 12 days while members of Q team have done their work in 15 days. How many days did they have taken if two team of member have combined?

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Solution

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21. Calculate

\((1.3+ 3.4 + 0.72)×(3.4 + 0.72 + 6.51) – (1.3+3.4 + 0.72 + 6.51)×(3.4 + 0.72)\)

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Solution

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22. Let’s use the number of 1 – 8 to fill into the below so that the equation can be functioned. ( Number only can be used once for a time )

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23. Calculate \((2^2 + 4^2 + 6^2 + … + 100^2) – (1^2 + 3^2 + 5^2 + … + 99^2)\)

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Solution

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24. \(\overline{abcde}×4=\overline{edcba}\), what is the 5-digits number of \(\overline{abcde}\)?

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25. There are some cows in the pasture. 27 of cows took 6 days to finish the grass while 23 of cows took 9 days to finish the grass. Calculate how many days do 21 of cows should take to finish the grass? (assume the growing of the grass at constant rate)

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Solution

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