Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 273 · 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.₹1000 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹120 (b) ₹1040 (c) ₹1160 (d) ₹1120
2. 2.If 8x − 14 = 66, what is x? (a) 9 (b) 80 (c) 11 (d) 10
3. 3.A bag marked ₹600 is sold at a 15% discount. What is its selling price? (a) ₹90 (b) ₹510 (c) ₹585 (d) ₹690
4. 4.Two ribbons are 64 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 64 cm (b) 8 cm (c) 576 cm (d) 4 cm
5. 5.What is the remainder when 297 is divided by 12? (a) 9 (b) 3 (c) 10 (d) 8
6. 6.A bag marked ₹380 is sold at a 40% discount. What is its selling price? (a) ₹228 (b) ₹532 (c) ₹340 (d) ₹152
7. 7.Which is the smallest: 0.29, 0.036, 0.2, 0.125? (a) 0.29 (b) 0.036 (c) 0.2 (d) 0.125
8. 8.If 5 pens cost ₹120, how much do 2 pens cost? (a) ₹48 (b) ₹117 (c) ₹240 (d) ₹72
9. 9.If 4 January is a Sunday, what day of the week is 18 January? (a) Tuesday (b) Monday (c) Saturday (d) Sunday
10. 10.A shopkeeper buys a toy for ₹140 and sells it for ₹84. What is his loss percent? (a) 35% (b) 56% (c) 45% (d) 40%
11. 11.If 8x + 25 = 145, what is x? (a) 14 (b) 15 (c) 16 (d) 120
12. 12.Every pair follows the same rule: 2 : 18, 3 : 27, 6 : 54. What is 9 : ? (a) 80 (b) 82 (c) 25 (d) 81
13. 13.What is the smallest number of sweets that can be shared equally among 6 children or among 14 children, with none left over? (a) 20 (b) 42 (c) 43 (d) 84
14. 14.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
15. 15.Every pair follows the same rule: 2 : 1, 4 : 13, 6 : 33. What is 5 : ? (a) 23 (b) 24 (c) 22 (d) 21
16. 16.What is the average of 48, 21, 22, 19 and 55? (a) 33 (b) 32 (c) 34 (d) 35
17. 17.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 48 (b) 41 (c) 42 (d) 97
18. 18.A shopkeeper buys a toy for ₹500 and sells it for ₹575. What is his profit percent? (a) 10% (b) 75% (c) 15% (d) 20%
19. 19.Which of these numbers is divisible by 6? (a) 613 (b) 608 (c) 612 (d) 619
20. 20.The simple interest on ₹3000 for 3 years is ₹360. What is the rate per year? (a) 5% (b) 12% (c) 4% (d) 3%
21. 21.Every pair follows the same rule: 4 : 8, 8 : 12, 9 : 13. What is 2 : ? (a) 5 (b) 7 (c) 4 (d) 6
22. 22.Which fraction is greater: 1/4 or 2/3? (a) 2/3 (b) 1/4 (c) They are equal
23. 23.If 9 October is a Thursday, what day of the week is 20 October? (a) Tuesday (b) Monday (c) Sunday (d) Wednesday
24. 24.What is the smallest number of sweets that can be shared equally among 4 children or among 14 children, with none left over? (a) 18 (b) 29 (c) 56 (d) 28
25. 25.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 119 sq cm (b) 46 sq cm (c) 23 sq cm (d) 102 sq cm
26. 26.If 8x − 34 = 62, what is x? (a) 11 (b) 96 (c) 13 (d) 12
27. 27.Every pair follows the same rule: 3 : 9, 5 : 25, 8 : 64. What is 9 : ? (a) 15 (b) 27 (c) 81 (d) 77
28. 28.What is the remainder when 221 is divided by 11? (a) 0 (b) 10 (c) 2 (d) 1
29. 29.A teacher has 55 pencils and 66 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 55 (b) 11 (c) 330 (d) 1
30. 30.A shopkeeper buys a toy for ₹900 and sells it for ₹630. What is his loss percent? (a) 31% (b) 30% (c) 35% (d) 25%
31. 31.A bag marked ₹1600 is sold at a 40% discount. What is its selling price? (a) ₹960 (b) ₹2240 (c) ₹1560 (d) ₹640
32. 32.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 15 (b) 10 (c) 23 (d) 28
33. 33.A teacher has 24 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 24 (c) 2 (d) 168
34. 34.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 4 cm (c) 51 cm (d) 5 cm
35. 35.Which of these numbers is divisible by 8? (a) 2680 (b) 2690 (c) 2677 (d) 2684
36. 36.What is the remainder when 358 is divided by 6? (a) 4 (b) 5 (c) 3 (d) 2
37. 37.9.11 + 3.2 = ? (a) 12.31 (b) 12.21 (c) 12.41 (d) 9.43
38. 38.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 19 (b) 11 (c) 24 (d) 32
39. 39.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 15 sq cm (c) 30 sq cm (d) 54 sq cm
40. 40.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 27 (b) 6 (c) 19 (d) 14

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