Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 689 · 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 6? (a) 3523 (b) 3511 (c) 3519 (d) 3516
2. 2.What is the simple interest on ₹4000 at 9% per year for 2 years? (a) ₹1080 (b) ₹4720 (c) ₹720 (d) ₹360
3. 3.What is the value of the digit 3 in 35.689? (a) 0.03 (b) 3 (c) 30 (d) 0.3
4. 4.Every pair follows the same rule: 5 : 15, 7 : 19, 8 : 21. What is 2 : ? (a) 6 (b) 9 (c) 12 (d) 10
5. 5.What is the average of 55, 30, 45, 46, 28 and 36? (a) 39 (b) 41 (c) 40 (d) 48
6. 6.Every pair follows the same rule: 1 : 1, 2 : 8, 6 : 216. What is 5 : ? (a) 126 (b) 164 (c) 5 (d) 125
7. 7.The simple interest on ₹5500 for 5 years is ₹3025. What is the rate per year? (a) 55% (b) 11% (c) 12% (d) 10%
8. 8.What is 5% of 1000? (a) 50 (b) 500 (c) 100 (d) 950
9. 9.If 6x + 5 = 65, what is x? (a) 60 (b) 11 (c) 10 (d) 9
10. 10.What is the units digit of 3^60? (a) 3 (b) 9 (c) 1 (d) 7
11. 11.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
12. 12.1.53 + 6.6 = ? (a) 8.23 (b) 2.19 (c) 8.03 (d) 8.13
13. 13.5.94 + 8.1 = ? (a) 13.94 (b) 14.14 (c) 6.75 (d) 14.04
14. 14.What is 2/7 of 56? (a) 40 (b) 16 (c) 24 (d) 8
15. 15.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 136 sq cm (d) 153 sq cm
16. 16.Every pair follows the same rule: 4 : 15, 5 : 24, 6 : 35. What is 2 : ? (a) 4 (b) 2 (c) 13 (d) 3
17. 17.Two ribbons are 24 cm and 108 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 84 cm (b) 6 cm (c) 24 cm (d) 12 cm
18. 18.What is the units digit of 8^10? (a) 4 (b) 2 (c) 8 (d) 6
19. 19.If 3x − 2 = 13, what is x? (a) 4 (b) 6 (c) 5 (d) 15
20. 20.If 3x − 8 = 22, what is x? (a) 11 (b) 9 (c) 10 (d) 30
21. 21.What is the smallest number you must add to 776 to make it divisible by 11? (a) 4 (b) 5 (c) 7 (d) 6
22. 22.Every pair follows the same rule: 2 : 11, 4 : 23, 5 : 32. What is 7 : ? (a) 56 (b) 50 (c) 16 (d) 57
23. 23.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 196 sq cm (d) 52 sq cm
24. 24.What is the average of all the whole numbers from 23 to 57? (a) 17 (b) 40 (c) 41 (d) 34
25. 25.If 2 May is a Monday, what day of the week is 13 May? (a) Friday (b) Sunday (c) Thursday (d) Saturday
26. 26.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 17 cm (c) 30 cm (d) 22 cm
27. 27.Two bells ring every 15 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 105 min (c) 315 min (d) 36 min
28. 28.What is the average of 42, 21, 43, 39 and 35? (a) 35 (b) 45 (c) 37 (d) 36
29. 29.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 27 (c) 21 (d) 42
30. 30.What is the smallest number of sweets that can be shared equally among 18 children or among 21 children, with none left over? (a) 252 (b) 39 (c) 126 (d) 378
31. 31.1/2 + 7/9 = ? (a) 11/9 (b) 4/3 (c) 23/18 (d) 8/11
32. 32.What is the value of the digit 6 in 67.183? (a) 0.06 (b) 6 (c) 60 (d) 0.6
33. 33.What is the units digit of 4^28? (a) 6 (b) 5 (c) 4 (d) 7
34. 34.The simple interest on ₹6000 for 5 years is ₹3000. What is the rate per year? (a) 11% (b) 9% (c) 50% (d) 10%
35. 35.Every pair follows the same rule: 3 : 9, 4 : 11, 7 : 17. What is 8 : ? (a) 20 (b) 14 (c) 24 (d) 19
36. 36.What is the units digit of 2^12? (a) 2 (b) 4 (c) 8 (d) 6
37. 37.A shopkeeper buys a toy for ₹740 and sells it for ₹629. What is his loss percent? (a) 16% (b) 15% (c) 20% (d) 10%
38. 38.What is the units digit of 8^20? (a) 8 (b) 4 (c) 2 (d) 6
39. 39.If 10 October is a Tuesday, what day of the week is 24 October? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
40. 40.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 44 (b) 36 (c) 37 (d) 90

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