Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 165 · 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. 1.8.31 + 6.6 = ? (a) 15.01 (b) 14.81 (c) 8.97 (d) 14.91
2. 2.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 25 (b) 75 (c) 55 (d) 60
3. 3.₹403 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹31 (b) ₹155 (c) ₹248 (d) ₹279
4. 4.Every pair follows the same rule: 3 : 8, 6 : 20, 7 : 24. What is 4 : ? (a) 11 (b) 9 (c) 13 (d) 12
5. 5.A shopkeeper buys a toy for ₹600 and sells it for ₹360. What is his loss percent? (a) 41% (b) 45% (c) 40% (d) 35%
6. 6.₹2500 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹500 (b) ₹3100 (c) ₹2600 (d) ₹3000
7. 7.What is 2/9 of 36? (a) 8 (b) 4 (c) 28 (d) 12
8. 8.5/9 + 5/9 = ? (a) 11/9 (b) 10/9 (c) 1 (d) 5/9
9. 9.If 17 April is a Thursday, what day of the week is 7 May? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
10. 10.In how many years will ₹6000 earn ₹2880 simple interest at 12% per year? (a) 8 years (b) 5 years (c) 4 years (d) 3 years
11. 11.Every pair follows the same rule: 2 : 12, 4 : 24, 7 : 42. What is 9 : ? (a) 53 (b) 54 (c) 55 (d) 19
12. 12.The simple interest on ₹7500 for 5 years is ₹4125. What is the rate per year? (a) 10% (b) 12% (c) 55% (d) 11%
13. 13.What is the average of 28, 32, 43, 22, 45 and 28? (a) 33 (b) 32 (c) 34 (d) 35
14. 14.What is the smallest number of sweets that can be shared equally among 12 children or among 42 children, with none left over? (a) 504 (b) 168 (c) 54 (d) 84
15. 15.A shopkeeper buys a toy for ₹540 and sells it for ₹486. What is his loss percent? (a) 5% (b) 15% (c) 54% (d) 10%
16. 16.A teacher has 40 pencils and 48 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 240 (c) 8 (d) 40
17. 17.Every pair follows the same rule: 6 : 36, 7 : 41, 8 : 46. What is 5 : ? (a) 30 (b) 31 (c) 35 (d) 32
18. 18.If 1 January is a Sunday, what day of the week is 9 January? (a) Wednesday (b) Monday (c) Sunday (d) Tuesday
19. 19.What is the average of 19, 31, 22 and 12? (a) 20 (b) 28 (c) 22 (d) 21
20. 20.If 25 October is a Tuesday, what day of the week is 12 November? (a) Saturday (b) Sunday (c) Friday (d) Monday
21. 21.What is the value of the digit 5 in 53.941? (a) 50 (b) 5 (c) 0.5 (d) 0.05
22. 22.Which is the smallest: 0.29, 0.089, 0.169, 0.2? (a) 0.29 (b) 0.089 (c) 0.169 (d) 0.2
23. 23.A shopkeeper buys a toy for ₹720 and sells it for ₹900. What is his profit percent? (a) 26% (b) 20% (c) 30% (d) 25%
24. 24.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 27 cm (c) 8 cm (d) 5 cm
25. 25.If 4 July is a Wednesday, what day of the week is 16 July? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
26. 26.Every pair follows the same rule: 2 : 8, 4 : 64, 6 : 216. What is 5 : ? (a) 20 (b) 11 (c) 140 (d) 125
27. 27.What is the value of the digit 1 in 29.413? (a) 0.001 (b) 1 (c) 0.1 (d) 0.01
28. 28.If 8 kites cost ₹48, how much do 2 kites cost? (a) ₹96 (b) ₹42 (c) ₹18 (d) ₹12
29. 29.What is 1/2 of 24? (a) 13 (b) 12 (c) 11 (d) 24
30. 30.If 15 May is a Sunday, what day of the week is 5 June? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
31. 31.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
32. 32.Which fraction is greater: 1/8 or 5/11? (a) They are equal (b) 5/11 (c) 1/8
33. 33.In how many years will ₹6500 earn ₹650 simple interest at 5% per year? (a) 1 year (b) 3 years (c) 4 years (d) 2 years
34. 34.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 55 cm (c) 7 cm (d) 12 cm
35. 35.Which fraction is greater: 8/9 or 7/8? (a) 7/8 (b) They are equal (c) 8/9
36. 36.Every pair follows the same rule: 2 : 6, 6 : 18, 8 : 24. What is 9 : ? (a) 27 (b) 13 (c) 28 (d) 26
37. 37.A shopkeeper buys a toy for ₹320 and sells it for ₹384. What is his profit percent? (a) 25% (b) 15% (c) 20% (d) 64%
38. 38.What is the average of all the whole numbers from 15 to 23? (a) 8 (b) 4 (c) 20 (d) 19
39. 39.Every pair follows the same rule: 3 : 24, 4 : 32, 8 : 64. What is 2 : ? (a) 15 (b) 16 (c) 17 (d) 23
40. 40.9 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 36 days (b) 37 days (c) 15 days (d) 1 day

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