Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 168 · 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.₹308 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹140 (b) ₹168 (c) ₹28 (d) ₹154
2. 2.Which fraction is greater: 2/3 or 1/4? (a) 2/3 (b) They are equal (c) 1/4
3. 3.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 26 cm (c) 22 cm (d) 13 cm
4. 4.Two ribbons are 6 cm and 9 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 1 cm (c) 3 cm (d) 18 cm
5. 5.Which of these numbers is divisible by 11? (a) 1717 (b) 1702 (c) 1705 (d) 1706
6. 6.A shopkeeper buys a toy for ₹800 and sells it for ₹480. What is his loss percent? (a) 35% (b) 45% (c) 40% (d) 41%
7. 7.Two ribbons are 21 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 21 cm (b) 1 cm (c) 168 cm (d) 3 cm
8. 8.Every pair follows the same rule: 4 : 36, 7 : 63, 8 : 72. What is 3 : ? (a) 26 (b) 28 (c) 27 (d) 35
9. 9.What is the simple interest on ₹8000 at 7% per year for 2 years? (a) ₹1680 (b) ₹9120 (c) ₹1120 (d) ₹560
10. 10.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 63 sq cm (c) 16 sq cm (d) 32 sq cm
11. 11.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 52 sq cm (b) 182 sq cm (c) 168 sq cm (d) 26 sq cm
12. 12.If 6x + 10 = 58, what is x? (a) 48 (b) 8 (c) 9 (d) 7
13. 13.What is 15% of 140? (a) 21 (b) 42 (c) 119 (d) 210
14. 14.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 36 cm (c) 19 cm (d) 38 cm
15. 15.A shopkeeper buys a toy for ₹960 and sells it for ₹672. What is his loss percent? (a) 31% (b) 25% (c) 35% (d) 30%
16. 16.Which of these numbers is divisible by 3? (a) 1073 (b) 1070 (c) 1075 (d) 1071
17. 17.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 42 (b) 22 (c) 28 (d) 8
18. 18.If 4 mangoes cost ₹80, how much do 9 mangoes cost? (a) ₹85 (b) ₹180 (c) ₹200 (d) ₹720
19. 19.7.62 + 1.9 = ? (a) 9.42 (b) 9.52 (c) 9.62 (d) 7.81
20. 20.What is the remainder when 94 is divided by 4? (a) 3 (b) 0 (c) 2 (d) 1
21. 21.Every pair follows the same rule: 1 : 1, 4 : 64, 5 : 125. What is 3 : ? (a) 27 (b) 3 (c) 28 (d) 26
22. 22.Two ribbons are 30 cm and 70 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 10 cm (c) 30 cm (d) 40 cm
23. 23.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
24. 24.If 13 July is a Friday, what day of the week is 24 July? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
25. 25.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 144 cm (b) 50 cm (c) 41 cm (d) 25 cm
26. 26.If 7x − 15 = 62, what is x? (a) 10 (b) 77 (c) 11 (d) 12
27. 27.6 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 21 days (c) 22 days (d) 11 days
28. 28.5.81 + 2.1 = ? (a) 7.81 (b) 6.02 (c) 8.01 (d) 7.91
29. 29.6.21 + 7.5 = ? (a) 6.96 (b) 13.81 (c) 13.61 (d) 13.71
30. 30.Which fraction is greater: 1/12 or 7/9? (a) 7/9 (b) They are equal (c) 1/12
31. 31.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
32. 32.Every pair follows the same rule: 3 : 22, 6 : 25, 7 : 26. What is 8 : ? (a) 26 (b) 28 (c) 29 (d) 27
33. 33.If 4x + 1 = x + 13, what is x? (a) 3 (b) 5 (c) 4 (d) 6
34. 34.A bag marked ₹600 is sold at a 50% discount. What is its selling price? (a) ₹300 (b) ₹550 (c) ₹900 (d) ₹301
35. 35.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 40 cm
36. 36.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 196 sq cm (d) 28 sq cm
37. 37.If 11 January is a Saturday, what day of the week is 13 February? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
38. 38.₹611 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹423 (b) ₹235 (c) ₹47 (d) ₹376
39. 39.Two ribbons are 12 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 3 cm (c) 36 cm (d) 6 cm
40. 40.₹9000 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹9180 (b) ₹9720 (c) ₹9540 (d) ₹540

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