Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 100 · 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 of these numbers is divisible by 4? (a) 491 (b) 495 (c) 492 (d) 497
2. 2.Every pair follows the same rule: 4 : 23, 6 : 25, 9 : 28. What is 3 : ? (a) 21 (b) 22 (c) 24 (d) 23
3. 3.Which of these numbers is divisible by 6? (a) 4883 (b) 4887 (c) 4884 (d) 4894
4. 4.In how many years will ₹8500 earn ₹850 simple interest at 2% per year? (a) 5 years (b) 4 years (c) 10 years (d) 6 years
5. 5.What is the average of all the whole numbers from 18 to 38? (a) 10 (b) 28 (c) 20 (d) 29
6. 6.What is 1/2 of 4? (a) 4 (b) 3 (c) 1 (d) 2
7. 7.7/8 + 1/2 = ? (a) 3/2 (b) 11/8 (c) 4/5 (d) 5/4
8. 8.If 3x − 1 = 41, what is x? (a) 15 (b) 13 (c) 14 (d) 42
9. 9.1/4 + 1/8 = ? (a) 1/2 (b) 1/6 (c) 3/8 (d) 1/4
10. 10.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 6 days (b) 7 days (c) 8 days (d) 3 days
11. 11.₹7500 is invested at 5% per year simple interest. What is the amount after 5 years? (a) ₹7875 (b) ₹9750 (c) ₹9375 (d) ₹1875
12. 12.Every pair follows the same rule: 6 : 36, 8 : 48, 9 : 54. What is 5 : ? (a) 31 (b) 29 (c) 35 (d) 30
13. 13.6.32 + 9.8 = ? (a) 16.22 (b) 7.3 (c) 16.02 (d) 16.12
14. 14.If x/2 + 7 = 19, what is x? (a) 52 (b) 24 (c) 31 (d) 12
15. 15.Every pair follows the same rule: 4 : 17, 6 : 19, 9 : 22. What is 2 : ? (a) 14 (b) 17 (c) 15 (d) 16
16. 16.If 6x + 25 = 55, what is x? (a) 30 (b) 5 (c) 6 (d) 4
17. 17.What is the smallest number of sweets that can be shared equally among 12 children or among 21 children, with none left over? (a) 168 (b) 252 (c) 84 (d) 33
18. 18.What is 60% of 560? (a) 672 (b) 224 (c) 3360 (d) 336
19. 19.What is the average of all the whole numbers from 59 to 93? (a) 77 (b) 76 (c) 17 (d) 34
20. 20.If 14 May is a Wednesday, what day of the week is 24 May? (a) Sunday (b) Saturday (c) Monday (d) Friday
21. 21.4/9 + 1/4 = ? (a) 25/36 (b) 2/3 (c) 13/18 (d) 5/13
22. 22.A shopkeeper buys a toy for ₹640 and sells it for ₹672. What is his profit percent? (a) 5% (b) 32% (c) 10% (d) 6%
23. 23.Which fraction is greater: 1/11 or 1/5? (a) They are equal (b) 1/5 (c) 1/11
24. 24.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 3 cm (b) 19 cm (c) 4 cm (d) 2 cm
25. 25.What is the simple interest on ₹2000 at 3% per year for 2 years? (a) ₹2120 (b) ₹60 (c) ₹180 (d) ₹120
26. 26.What is 60% of 300? (a) 360 (b) 180 (c) 1800 (d) 120
27. 27.What is the average of 60, 68, 50, 76 and 61? (a) 65 (b) 64 (c) 63 (d) 62
28. 28.Which fraction is greater: 4/11 or 1/5? (a) 4/11 (b) 1/5 (c) They are equal
29. 29.Two bells ring every 20 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 48 min (b) 4 min (c) 560 min (d) 140 min
30. 30.₹7000 is invested at 4% per year simple interest. What is the amount after 2 years? (a) ₹7280 (b) ₹560 (c) ₹7840 (d) ₹7560
31. 31.What is the average of 23, 25, 35, 31, 26 and 76? (a) 38 (b) 36 (c) 35 (d) 37
32. 32.Which is the smallest: 0.25, 0.122, 0.056, 0.2? (a) 0.25 (b) 0.122 (c) 0.056 (d) 0.2
33. 33.What is the remainder when 369 is divided by 8? (a) 7 (b) 0 (c) 2 (d) 1
34. 34.Every pair follows the same rule: 3 : 18, 7 : 42, 8 : 48. What is 4 : ? (a) 25 (b) 19 (c) 23 (d) 24
35. 35.What is the average of 76, 60, 88, 88 and 63? (a) 77 (b) 74 (c) 76 (d) 75
36. 36.Which is the greatest: 0.091, 0.48, 0.324, 0.4? (a) 0.091 (b) 0.48 (c) 0.324 (d) 0.4
37. 37.What is the smallest number of sweets that can be shared equally among 4 children or among 14 children, with none left over? (a) 18 (b) 56 (c) 28 (d) 29
38. 38.What is the smallest number of sweets that can be shared equally among 18 children or among 30 children, with none left over? (a) 48 (b) 90 (c) 180 (d) 540
39. 39.₹1500 is invested at 12% per year simple interest. What is the amount after 5 years? (a) ₹2580 (b) ₹1680 (c) ₹2400 (d) ₹900
40. 40.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 48 cm (b) 7 cm (c) 8 cm (d) 14 cm

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