Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 667 · 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.What is 3/5 of 15? (a) 6 (b) 3 (c) 12 (d) 9
2. 2.Every pair follows the same rule: 4 : 15, 6 : 35, 9 : 80. What is 5 : ? (a) 20 (b) 16 (c) 24 (d) 25
3. 3.Every pair follows the same rule: 3 : 7, 4 : 12, 5 : 17. What is 2 : ? (a) 6 (b) 1 (c) 2 (d) 3
4. 4.A bag marked ₹560 is sold at a 30% discount. What is its selling price? (a) ₹728 (b) ₹530 (c) ₹392 (d) ₹168
5. 5.What is the average of all the whole numbers from 10 to 34? (a) 24 (b) 22 (c) 12 (d) 23
6. 6.What is 15% of 640? (a) 192 (b) 544 (c) 960 (d) 96
7. 7.Which fraction is greater: 1/4 or 8/9? (a) 8/9 (b) 1/4 (c) They are equal
8. 8.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 27 (b) 39 (c) 14 (d) 52
9. 9.3.41 + 4.1 = ? (a) 7.41 (b) 7.61 (c) 3.82 (d) 7.51
10. 10.Which of these numbers is divisible by 6? (a) 3193 (b) 3201 (c) 3198 (d) 3209
11. 11.A bag marked ₹500 is sold at a 50% discount. What is its selling price? (a) ₹250 (b) ₹750 (c) ₹251 (d) ₹450
12. 12.What is the value of the digit 2 in 74.295? (a) 2 (b) 0.2 (c) 0.02 (d) 0.002
13. 13.Which fraction is greater: 3/5 or 1/9? (a) 3/5 (b) They are equal (c) 1/9
14. 14.2.23 + 7.8 = ? (a) 9.93 (b) 10.13 (c) 3.01 (d) 10.03
15. 15.Every pair follows the same rule: 4 : 14, 6 : 34, 7 : 47. What is 9 : ? (a) 80 (b) 73 (c) 79 (d) 19
16. 16.2.99 + 6.2 = ? (a) 9.29 (b) 9.09 (c) 9.19 (d) 3.61
17. 17.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
18. 18.A batter has an average of 49 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 113 (b) 63 (c) 112 (d) 56
19. 19.What is 15% of 780? (a) 117 (b) 663 (c) 1170 (d) 234
20. 20.If 7x + 15 = 5x + 25, what is x? (a) 6 (b) 5 (c) 20 (d) 7
21. 21.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 180 cm
22. 22.Every pair follows the same rule: 2 : 8, 7 : 28, 8 : 32. What is 3 : ? (a) 12 (b) 13 (c) 11 (d) 9
23. 23.What is the smallest number of sweets that can be shared equally among 12 children or among 14 children, with none left over? (a) 85 (b) 84 (c) 26 (d) 168
24. 24.If 30 September is a Sunday, what day of the week is 6 October? (a) Saturday (b) Sunday (c) Monday (d) Friday
25. 25.Every pair follows the same rule: 2 : 5, 5 : 14, 6 : 17. What is 7 : ? (a) 20 (b) 10 (c) 19 (d) 21
26. 26.If 2 notebooks cost ₹50, how much do 3 notebooks cost? (a) ₹51 (b) ₹75 (c) ₹100 (d) ₹150
27. 27.₹112 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹56 (b) ₹42 (c) ₹14 (d) ₹70
28. 28.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 88 cm (b) 10 cm (c) 18 cm (d) 9 cm
29. 29.₹230 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹230 (b) ₹46 (c) ₹184 (d) ₹115
30. 30.If 13 September is a Sunday, what day of the week is 7 October? (a) Friday (b) Wednesday (c) Tuesday (d) Thursday
31. 31.If 7 March is a Wednesday, what day of the week is 20 March? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
32. 32.In how many years will ₹4000 earn ₹1000 simple interest at 5% per year? (a) 10 years (b) 6 years (c) 4 years (d) 5 years
33. 33.A shopkeeper buys a toy for ₹840 and sells it for ₹714. What is his loss percent? (a) 10% (b) 16% (c) 20% (d) 15%
34. 34.What is 40% of 940? (a) 3760 (b) 564 (c) 752 (d) 376
35. 35.Today is Monday. What day of the week will it be after 25 days? (a) Sunday (b) Friday (c) Thursday (d) Saturday
36. 36.3 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 4 days (b) 5 days (c) 2 days (d) 3 days
37. 37.A shopkeeper buys a toy for ₹900 and sells it for ₹540. What is his loss percent? (a) 45% (b) 35% (c) 40% (d) 41%
38. 38.In how many years will ₹7500 earn ₹900 simple interest at 3% per year? (a) 5 years (b) 3 years (c) 4 years (d) 8 years
39. 39.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 18 cm (c) 10 cm (d) 9 cm
40. 40.Every pair follows the same rule: 1 : 1, 4 : 64, 6 : 216. What is 2 : ? (a) 8 (b) 9 (c) 7 (d) 2

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