Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 884 · 40 questions

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

1. 1.Which is the smallest: 0.89, 0.8, 0.719, 0.058? (a) 0.89 (b) 0.8 (c) 0.719 (d) 0.058
2. 2.What is the average of all the whole numbers from 57 to 95? (a) 38 (b) 76 (c) 77 (d) 19
3. 3.Every pair follows the same rule: 5 : 24, 8 : 63, 9 : 80. What is 7 : ? (a) 48 (b) 49 (c) 26 (d) 46
4. 4.Which fraction is greater: 3/11 or 3/8? (a) They are equal (b) 3/8 (c) 3/11
5. 5.Which is the greatest: 0.4, 0.313, 0.084, 0.49? (a) 0.4 (b) 0.313 (c) 0.084 (d) 0.49
6. 6.1/3 + 1/9 = ? (a) 1/3 (b) 5/9 (c) 4/9 (d) 1/6
7. 7.₹90 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹54 (b) ₹18 (c) ₹45 (d) ₹36
8. 8.If 6x + 18 = x + 33, what is x? (a) 2 (b) 4 (c) 3 (d) 5
9. 9.₹2000 is invested at 9% per year simple interest. What is the amount after 5 years? (a) ₹3080 (b) ₹2900 (c) ₹900 (d) ₹2180
10. 10.What is the average of 81, 64, 62, 60, 77 and 106? (a) 76 (b) 75 (c) 90 (d) 74
11. 11.A shopkeeper buys a toy for ₹940 and sells it for ₹1128. What is his profit percent? (a) 20% (b) 15% (c) 25% (d) 21%
12. 12.If 4 January is a Sunday, what day of the week is 17 January? (a) Friday (b) Saturday (c) Monday (d) Sunday
13. 13.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 200 sq cm (b) 30 sq cm (c) 220 sq cm (d) 60 sq cm
14. 14.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 10 min (b) 24 min (c) 12 min (d) 2 min
15. 15.What is the average of 13, 18, 9 and 52? (a) 22 (b) 24 (c) 25 (d) 23
16. 16.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 8 sq cm (c) 18 sq cm (d) 12 sq cm
17. 17.Every pair follows the same rule: 2 : 8, 4 : 10, 5 : 11. What is 3 : ? (a) 8 (b) 9 (c) 12 (d) 10
18. 18.Every pair follows the same rule: 6 : 36, 8 : 64, 9 : 81. What is 3 : ? (a) 18 (b) 9 (c) 33 (d) 10
19. 19.2/4 + 1/3 = ? (a) 11/12 (b) 3/4 (c) 5/6 (d) 3/7
20. 20.If 2 mangoes cost ₹22, how much do 9 mangoes cost? (a) ₹99 (b) ₹198 (c) ₹29 (d) ₹110
21. 21.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 28 (b) 40 (c) 14 (d) 54
22. 22.What is the smallest number of sweets that can be shared equally among 12 children or among 18 children, with none left over? (a) 72 (b) 30 (c) 216 (d) 36
23. 23.What is the smallest number you must add to 185 to make it divisible by 7? (a) 5 (b) 6 (c) 3 (d) 4
24. 24.If x/5 + 15 = 21, what is x? (a) 90 (b) 30 (c) 180 (d) 6
25. 25.What is the smallest number you must add to 50 to make it divisible by 3? (a) 2 (b) 1
26. 26.What is 25% of 300? (a) 225 (b) 150 (c) 75 (d) 750
27. 27.Every pair follows the same rule: 4 : 24, 7 : 57, 8 : 72. What is 2 : ? (a) 11 (b) 13 (c) 12 (d) 22
28. 28.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 12 cm (c) 40 cm (d) 6 cm
29. 29.Which of these numbers is divisible by 11? (a) 5680 (b) 5676 (c) 5668 (d) 5696
30. 30.If 8x + 13 = 133, what is x? (a) 15 (b) 120 (c) 14 (d) 16
31. 31.If 21 October is a Saturday, what day of the week is 5 November? (a) Monday (b) Tuesday (c) Sunday (d) Saturday
32. 32.Every pair follows the same rule: 2 : 14, 3 : 15, 7 : 19. What is 4 : ? (a) 16 (b) 17 (c) 15 (d) 28
33. 33.₹273 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹189 (b) ₹21 (c) ₹168 (d) ₹105
34. 34.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 56 sq cm (c) 15 sq cm (d) 64 sq cm
35. 35.Which fraction is greater: 3/4 or 5/11? (a) They are equal (b) 3/4 (c) 5/11
36. 36.If 5 January is a Friday, what day of the week is 16 January? (a) Monday (b) Tuesday (c) Wednesday (d) Thursday
37. 37.Every pair follows the same rule: 2 : 4, 3 : 9, 8 : 64. What is 5 : ? (a) 25 (b) 31 (c) 10 (d) 7
38. 38.Two bells ring every 12 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 216 min (c) 6 min (d) 30 min
39. 39.Every pair follows the same rule: 2 : 7, 4 : 13, 9 : 28. What is 8 : ? (a) 13 (b) 26 (c) 24 (d) 25
40. 40.Which is the smallest: 0.031, 0.31, 0.275, 0.3? (a) 0.031 (b) 0.31 (c) 0.275 (d) 0.3

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