Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 259 · 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.Which fraction is greater: 1/7 or 2/3? (a) They are equal (b) 1/7 (c) 2/3
2. 2.If 7 notebooks cost ₹28, how much do 8 notebooks cost? (a) ₹29 (b) ₹224 (c) ₹36 (d) ₹32
3. 3.2.45 + 8.3 = ? (a) 10.85 (b) 3.28 (c) 10.65 (d) 10.75
4. 4.Every pair follows the same rule: 3 : 8, 4 : 9, 8 : 13. What is 2 : ? (a) 9 (b) 7 (c) 8 (d) 6
5. 5.What is the value of the digit 9 in 56.249? (a) 0.9 (b) 9 (c) 0.09 (d) 0.009
6. 6.What is the simple interest on ₹8500 at 2% per year for 4 years? (a) ₹9180 (b) ₹850 (c) ₹680 (d) ₹170
7. 7.If 12 March is a Monday, what day of the week is 21 March? (a) Wednesday (b) Tuesday (c) Friday (d) Thursday
8. 8.What is the average of 81, 90, 60, 87 and 57? (a) 77 (b) 76 (c) 75 (d) 74
9. 9.Which of these numbers is divisible by 3? (a) 427 (b) 422 (c) 423 (d) 424
10. 10.7 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 43 days (c) 17 days (d) 42 days
11. 11.The simple interest on ₹1000 for 3 years is ₹330. What is the rate per year? (a) 33% (b) 11% (c) 10% (d) 12%
12. 12.What is 1/3 of 6? (a) 3 (b) 4 (c) 2 (d) 1
13. 13.A bag marked ₹640 is sold at a 10% discount. What is its selling price? (a) ₹64 (b) ₹630 (c) ₹704 (d) ₹576
14. 14.If 2x − 4 = 26, what is x? (a) 30 (b) 16 (c) 15 (d) 11
15. 15.Today is Friday. What day of the week will it be after 21 days? (a) Saturday (b) Thursday (c) Sunday (d) Friday
16. 16.What is 50% of 260? (a) 130 (b) 1300 (c) 131 (d) 260
17. 17.What is the simple interest on ₹3500 at 8% per year for 5 years? (a) ₹280 (b) ₹4900 (c) ₹1680 (d) ₹1400
18. 18.Which of these numbers is divisible by 3? (a) 1655 (b) 1660 (c) 1657 (d) 1656
19. 19.What is the simple interest on ₹2000 at 9% per year for 4 years? (a) ₹720 (b) ₹2720 (c) ₹180 (d) ₹900
20. 20.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 48 (b) 35 (c) 41 (d) 69
21. 21.Every pair follows the same rule: 2 : 16, 3 : 24, 5 : 40. What is 6 : ? (a) 20 (b) 47 (c) 48 (d) 49
22. 22.9.37 + 9.7 = ? (a) 10.34 (b) 19.07 (c) 19.17 (d) 18.97
23. 23.Which of these numbers is divisible by 11? (a) 5433 (b) 5435 (c) 5450 (d) 5434
24. 24.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 35 cm (b) 22 cm (c) 117 cm (d) 44 cm
25. 25.What is the remainder when 229 is divided by 12? (a) 0 (b) 1 (c) 2 (d) 11
26. 26.If 7 notebooks cost ₹21, how much do 10 notebooks cost? (a) ₹210 (b) ₹30 (c) ₹24 (d) ₹33
27. 27.₹506 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹253 (b) ₹230 (c) ₹46 (d) ₹276
28. 28.Which of these numbers is divisible by 6? (a) 3948 (b) 3956 (c) 3945 (d) 3950
29. 29.Every pair follows the same rule: 4 : 20, 5 : 25, 7 : 35. What is 2 : ? (a) 9 (b) 10 (c) 11 (d) 18
30. 30.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 50 sq cm (c) 28 sq cm (d) 40 sq cm
31. 31.Which fraction is greater: 2/5 or 2/7? (a) They are equal (b) 2/7 (c) 2/5
32. 32.9.89 + 9.1 = ? (a) 18.89 (b) 19.09 (c) 10.8 (d) 18.99
33. 33.₹98 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹49 (b) ₹42 (c) ₹56 (d) ₹14
34. 34.8.71 + 1.4 = ? (a) 10.11 (b) 10.21 (c) 10.01 (d) 8.85
35. 35.What is the remainder when 913 is divided by 12? (a) 2 (b) 11 (c) 0 (d) 1
36. 36.Every pair follows the same rule: 7 : 48, 8 : 63, 9 : 80. What is 3 : ? (a) 8 (b) 7 (c) 9 (d) 44
37. 37.Which of these numbers is divisible by 11? (a) 1813 (b) 1816 (c) 1830 (d) 1815
38. 38.What is 1/7 of 63? (a) 54 (b) 10 (c) 18 (d) 9
39. 39.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 10 (b) 23 (c) 22 (d) 16
40. 40.A shopkeeper buys a toy for ₹980 and sells it for ₹882. What is his loss percent? (a) 98% (b) 5% (c) 15% (d) 10%

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