Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 354 · 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 the value of the digit 2 in 31.582? (a) 0.02 (b) 0.002 (c) 0.2 (d) 2
2. 2.The simple interest on ₹9000 for 2 years is ₹540. What is the rate per year? (a) 2% (b) 3% (c) 6% (d) 4%
3. 3.The simple interest on ₹3500 for 5 years is ₹700. What is the rate per year? (a) 5% (b) 3% (c) 20% (d) 4%
4. 4.What is the average of 62, 57, 81, 84 and 66? (a) 70 (b) 72 (c) 69 (d) 71
5. 5.What is the simple interest on ₹6000 at 11% per year for 2 years? (a) ₹7320 (b) ₹1320 (c) ₹660 (d) ₹1980
6. 6.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 5 cm (c) 27 cm (d) 8 cm
7. 7.What is the value of the digit 4 in 16.849? (a) 0.04 (b) 0.4 (c) 4 (d) 0.004
8. 8.If 8x − 35 = 5, what is x? (a) 4 (b) 6 (c) 5 (d) 40
9. 9.Every pair follows the same rule: 2 : 10, 6 : 22, 8 : 28. What is 7 : ? (a) 15 (b) 25 (c) 26 (d) 35
10. 10.If 2x − 8 = 10, what is x? (a) 9 (b) 1 (c) 10 (d) 18
11. 11.1.99 + 1.8 = ? (a) 3.69 (b) 3.79 (c) 3.89 (d) 2.17
12. 12.Every pair follows the same rule: 1 : 1, 2 : 8, 5 : 125. What is 4 : ? (a) 86 (b) 64 (c) 65 (d) 4
13. 13.4 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 14 days (c) 24 days (d) 6 days
14. 14.Every pair follows the same rule: 4 : 64, 5 : 125, 6 : 216. What is 2 : ? (a) 62 (b) 8 (c) 9 (d) 32
15. 15.Two ribbons are 12 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 16 cm (b) 12 cm (c) 2 cm (d) 4 cm
16. 16.In how many years will ₹9000 earn ₹1440 simple interest at 4% per year? (a) 5 years (b) 8 years (c) 3 years (d) 4 years
17. 17.A teacher has 12 pencils and 32 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 2 (c) 20 (d) 12
18. 18.What is the simple interest on ₹3000 at 3% per year for 3 years? (a) ₹360 (b) ₹270 (c) ₹90 (d) ₹3270
19. 19.What is the units digit of 4^60? (a) 7 (b) 6 (c) 5 (d) 4
20. 20.What is the remainder when 37 is divided by 3? (a) 2 (b) 1 (c) 0
21. 21.3 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 15 days (c) 22 days (d) 21 days
22. 22.What is 15% of 940? (a) 799 (b) 1410 (c) 282 (d) 141
23. 23.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 225 sq cm (d) 28 sq cm
24. 24.A bag marked ₹720 is sold at a 15% discount. What is its selling price? (a) ₹108 (b) ₹612 (c) ₹705 (d) ₹828
25. 25.What is 4/5 of 60? (a) 60 (b) 49 (c) 12 (d) 48
26. 26.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 48 cm (c) 128 cm (d) 24 cm
27. 27.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 150 (b) 25 (c) 30 (d) 60
28. 28.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 102 (b) 33 (c) 49 (d) 34
29. 29.What is the remainder when 110 is divided by 8? (a) 6 (b) 7 (c) 2 (d) 5
30. 30.A teacher has 12 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 12 (c) 16 (d) 4
31. 31.Which fraction is greater: 4/5 or 1/7? (a) 4/5 (b) 1/7 (c) They are equal
32. 32.3/7 + 2/5 = ? (a) 5/12 (b) 4/5 (c) 6/7 (d) 29/35
33. 33.What is the average of 61, 62, 61, 71, 87 and 108? (a) 76 (b) 90 (c) 75 (d) 74
34. 34.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 24 sq cm (d) 32 sq cm
35. 35.2.93 + 7.6 = ? (a) 3.69 (b) 10.43 (c) 10.63 (d) 10.53
36. 36.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 43 (b) 24 (c) 55 (d) 37
37. 37.₹207 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹185 (b) ₹207 (c) ₹184 (d) ₹23
38. 38.Today is Monday. What day of the week will it be after 18 days? (a) Saturday (b) Thursday (c) Friday (d) Sunday
39. 39.What is the value of the digit 1 in 67.821? (a) 0.01 (b) 0.1 (c) 0.001 (d) 1
40. 40.Which fraction is greater: 2/7 or 1/4? (a) 1/4 (b) They are equal (c) 2/7

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