Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 615 · 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.₹119 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹51 (b) ₹68 (c) ₹17 (d) ₹85
2. 2.₹9500 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹9880 (b) ₹11400 (c) ₹1520 (d) ₹11020
3. 3.If 5x − 5 = 55, what is x? (a) 10 (b) 12 (c) 13 (d) 60
4. 4.A batter has an average of 44 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 54 (b) 49 (c) 30 (d) 74
5. 5.Which of these numbers is divisible by 9? (a) 5298 (b) 5286 (c) 5292 (d) 5304
6. 6.What is the value of the digit 3 in 21.793? (a) 0.03 (b) 3 (c) 0.3 (d) 0.003
7. 7.What is the remainder when 255 is divided by 7? (a) 4 (b) 2 (c) 3 (d) 5
8. 8.A shopkeeper buys a toy for ₹560 and sells it for ₹476. What is his loss percent? (a) 15% (b) 84% (c) 10% (d) 20%
9. 9.Every pair follows the same rule: 2 : 8, 5 : 125, 6 : 216. What is 4 : ? (a) 34 (b) 16 (c) 64 (d) 10
10. 10.A shopkeeper buys a toy for ₹340 and sells it for ₹391. What is his profit percent? (a) 51% (b) 20% (c) 10% (d) 15%
11. 11.1/6 + 1/2 = ? (a) 1/4 (b) 1/2 (c) 5/6 (d) 2/3
12. 12.A batter has an average of 33 runs in 6 matches. How many runs are needed in the next match to raise the average to 40? (a) 49 (b) 82 (c) 47 (d) 40
13. 13.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 28 cm (b) 47 cm (c) 56 cm (d) 171 cm
14. 14.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 11 sq cm (c) 18 sq cm (d) 22 sq cm
15. 15.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 153 cm
16. 16.Every pair follows the same rule: 5 : 13, 7 : 17, 8 : 19. What is 6 : ? (a) 15 (b) 14 (c) 16 (d) 17
17. 17.Which fraction is greater: 3/11 or 3/8? (a) They are equal (b) 3/8 (c) 3/11
18. 18.What is the smallest number of sweets that can be shared equally among 9 children or among 21 children, with none left over? (a) 189 (b) 30 (c) 126 (d) 63
19. 19.₹9500 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹11020 (b) ₹10640 (c) ₹1140 (d) ₹9880
20. 20.Every pair follows the same rule: 4 : 20, 7 : 53, 9 : 85. What is 6 : ? (a) 37 (b) 22 (c) 40 (d) 30
21. 21.What is 75% of 160? (a) 240 (b) 120 (c) 1200 (d) 40
22. 22.₹333 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹296 (b) ₹259 (c) ₹37 (d) ₹74
23. 23.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 50 (b) 29 (c) 74 (d) 34
24. 24.If 4 January is a Sunday, what day of the week is 14 January? (a) Friday (b) Wednesday (c) Tuesday (d) Thursday
25. 25.What is the remainder when 243 is divided by 6? (a) 4 (b) 2 (c) 3 (d) 5
26. 26.What is the remainder when 74 is divided by 3? (a) 2 (b) 0 (c) 1
27. 27.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
28. 28.6.34 + 7.4 = ? (a) 13.74 (b) 13.84 (c) 13.64 (d) 7.08
29. 29.Which is the greatest: 0.243, 0.38, 0.3, 0.085? (a) 0.243 (b) 0.38 (c) 0.3 (d) 0.085
30. 30.What is the average of 50, 58, 68 and 48? (a) 57 (b) 55 (c) 58 (d) 56
31. 31.In how many years will ₹7500 earn ₹675 simple interest at 3% per year? (a) 4 years (b) 2 years (c) 6 years (d) 3 years
32. 32.Which is the smallest: 0.674, 0.059, 0.78, 0.7? (a) 0.674 (b) 0.059 (c) 0.78 (d) 0.7
33. 33.What is the average of 84, 66, 68, 65 and 112? (a) 80 (b) 78 (c) 81 (d) 79
34. 34.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 84 min (b) 54 min (c) 504 min (d) 6 min
35. 35.A shopkeeper buys a toy for ₹120 and sells it for ₹156. What is his profit percent? (a) 25% (b) 36% (c) 30% (d) 35%
36. 36.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 77 cm (c) 8 cm (d) 16 cm
37. 37.₹264 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹132 (b) ₹48 (c) ₹24 (d) ₹216
38. 38.What is the units digit of 8^16? (a) 6 (b) 2 (c) 4 (d) 8
39. 39.Today is Sunday. What day of the week will it be after 56 days? (a) Sunday (b) Saturday (c) Tuesday (d) Monday
40. 40.What is 1/8 of 64? (a) 8 (b) 56 (c) 9 (d) 16

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