Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 510 · 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) 3408 (b) 3411 (c) 3414 (d) 3405
2. 2.Which is the smallest: 0.43, 0.043, 0.4, 0.339? (a) 0.43 (b) 0.043 (c) 0.4 (d) 0.339
3. 3.What is the smallest number you must add to 57 to make it divisible by 4? (a) 1 (b) 3 (c) 2
4. 4.What is the average of 59, 43, 51, 48 and 89? (a) 58 (b) 57 (c) 60 (d) 59
5. 5.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 91 sq cm (b) 78 sq cm (c) 19 sq cm (d) 38 sq cm
6. 6.Which is the greatest: 0.274, 0.31, 0.044, 0.3? (a) 0.274 (b) 0.31 (c) 0.044 (d) 0.3
7. 7.Every pair follows the same rule: 3 : 14, 4 : 21, 9 : 86. What is 5 : ? (a) 31 (b) 34 (c) 16 (d) 30
8. 8.Every pair follows the same rule: 2 : 6, 7 : 26, 8 : 30. What is 4 : ? (a) 14 (b) 15 (c) 12 (d) 8
9. 9.What is the units digit of 3^20? (a) 7 (b) 9 (c) 3 (d) 1
10. 10.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 23? (a) 20 (b) 25 (c) 23 (d) 41
11. 11.What is the simple interest on ₹9000 at 8% per year for 4 years? (a) ₹720 (b) ₹2880 (c) ₹11880 (d) ₹3600
12. 12.Every pair follows the same rule: 3 : 12, 4 : 19, 5 : 28. What is 2 : ? (a) 7 (b) 11 (c) 8 (d) 1
13. 13.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 25 (b) 150 (c) 30 (d) 60
14. 14.What is the remainder when 201 is divided by 4? (a) 2 (b) 3 (c) 1 (d) 0
15. 15.Which of these numbers is divisible by 4? (a) 1455 (b) 1445 (c) 1449 (d) 1448
16. 16.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 14 cm (c) 18 cm (d) 16 cm
17. 17.What is the remainder when 121 is divided by 3? (a) 0 (b) 2 (c) 1
18. 18.Two ribbons are 8 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 8 cm (c) 2 cm (d) 28 cm
19. 19.Which is the greatest: 0.487, 0.53, 0.029, 0.5? (a) 0.487 (b) 0.53 (c) 0.029 (d) 0.5
20. 20.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 49 (b) 19 (c) 20 (d) 24
21. 21.What is the remainder when 405 is divided by 12? (a) 3 (b) 9 (c) 8 (d) 10
22. 22.What is the average of 38, 23, 32, 13, 16 and 34? (a) 25 (b) 27 (c) 26 (d) 28
23. 23.What is the smallest number you must add to 461 to make it divisible by 8? (a) 5 (b) 4 (c) 3 (d) 2
24. 24.If 1 October is a Sunday, what day of the week is 15 October? (a) Tuesday (b) Sunday (c) Saturday (d) Monday
25. 25.Two ribbons are 55 cm and 77 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 11 cm (c) 22 cm (d) 55 cm
26. 26.If 2 kites cost ₹32, how much do 5 kites cost? (a) ₹160 (b) ₹96 (c) ₹35 (d) ₹80
27. 27.Which of these numbers is divisible by 4? (a) 431 (b) 433 (c) 438 (d) 432
28. 28.5.98 + 7.9 = ? (a) 13.78 (b) 6.77 (c) 13.88 (d) 13.98
29. 29.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 20 (b) 57 (c) 31 (d) 46
30. 30.What is the average of all the whole numbers from 43 to 59? (a) 8 (b) 16 (c) 52 (d) 51
31. 31.If 6x + 2 = 4x + 10, what is x? (a) 5 (b) 3 (c) 6 (d) 4
32. 32.If 11 April is a Monday, what day of the week is 11 May? (a) Thursday (b) Wednesday (c) Tuesday (d) Friday
33. 33.What is the remainder when 93 is divided by 6? (a) 4 (b) 5 (c) 3 (d) 2
34. 34.What is 3/7 of 14? (a) 8 (b) 2 (c) 6 (d) 7
35. 35.Two ribbons are 6 cm and 16 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 2 cm (c) 6 cm (d) 10 cm
36. 36.What is the average of 42, 38, 22, 39 and 29? (a) 36 (b) 35 (c) 33 (d) 34
37. 37.If 6 pens cost ₹54, how much do 7 pens cost? (a) ₹63 (b) ₹55 (c) ₹72 (d) ₹378
38. 38.Every pair follows the same rule: 2 : 2, 4 : 8, 8 : 20. What is 3 : ? (a) 3 (b) 4 (c) 5 (d) 6
39. 39.If 8x + 3 = 99, what is x? (a) 11 (b) 12 (c) 13 (d) 96
40. 40.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 4 (b) 41 (c) 21 (d) 24

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