Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 975 · 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.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 26 sq cm (b) 170 sq cm (c) 52 sq cm (d) 153 sq cm
2. 2.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq cm
3. 3.If 14 August is a Wednesday, what day of the week is 29 August? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
4. 4.If 7x + 1 = 6x + 13, what is x? (a) 11 (b) 14 (c) 12 (d) 13
5. 5.₹9500 is invested at 11% per year simple interest. What is the amount after 4 years? (a) ₹4180 (b) ₹13680 (c) ₹14725 (d) ₹10545
6. 6.What is 40% of 940? (a) 752 (b) 3760 (c) 376 (d) 564
7. 7.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 68 cm (b) 10 cm (c) 6 cm (d) 5 cm
8. 8.What is the value of the digit 8 in 94.812? (a) 0.8 (b) 0.08 (c) 8 (d) 0.008
9. 9.If 3x + 20 = 2x + 32, what is x? (a) 52 (b) 12 (c) 14 (d) 13
10. 10.2/8 + 3/4 = ? (a) 7/8 (b) 1 (c) 5/12 (d) 9/8
11. 11.A teacher has 6 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 2 (c) 6 (d) 1
12. 12.Every pair follows the same rule: 2 : 2, 4 : 8, 9 : 23. What is 8 : ? (a) 8 (b) 20 (c) 19 (d) 21
13. 13.Which fraction is greater: 1/3 or 4/9? (a) 4/9 (b) They are equal (c) 1/3
14. 14.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 37 cm (b) 40 cm (c) 51 cm (d) 20 cm
15. 15.Two bells ring every 16 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 44 min (b) 112 min (c) 4 min (d) 448 min
16. 16.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 18 cm (c) 11 cm (d) 20 cm
17. 17.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 90 cm (c) 8 cm (d) 14 cm
18. 18.Two ribbons are 8 cm and 12 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 2 cm (c) 24 cm (d) 8 cm
19. 19.What is the value of the digit 6 in 41.762? (a) 0.006 (b) 0.06 (c) 6 (d) 0.6
20. 20.Every pair follows the same rule: 5 : 25, 6 : 36, 7 : 49. What is 2 : ? (a) 10 (b) 4 (c) 22 (d) 5
21. 21.What is the smallest number of sweets that can be shared equally among 15 children or among 35 children, with none left over? (a) 210 (b) 50 (c) 525 (d) 105
22. 22.A shopkeeper buys a toy for ₹160 and sells it for ₹176. What is his profit percent? (a) 16% (b) 10% (c) 15% (d) 5%
23. 23.What is the average of all the whole numbers from 21 to 43? (a) 33 (b) 11 (c) 32 (d) 22
24. 24.₹8500 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹8840 (b) ₹10200 (c) ₹1700 (d) ₹10540
25. 25.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 20 sq cm (b) 98 sq cm (c) 40 sq cm (d) 84 sq cm
26. 26.If 6x − 9 = 21, what is x? (a) 30 (b) 5 (c) 6 (d) 2
27. 27.What is the units digit of 3^54? (a) 7 (b) 9 (c) 3 (d) 1
28. 28.Which is the greatest: 0.059, 0.2, 0.156, 0.29? (a) 0.059 (b) 0.2 (c) 0.156 (d) 0.29
29. 29.₹576 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹240 (b) ₹48 (c) ₹336 (d) ₹288
30. 30.If 5x − 8 = 22, what is x? (a) 7 (b) 30 (c) 5 (d) 6
31. 31.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
32. 32.Which fraction is greater: 7/11 or 5/6? (a) They are equal (b) 7/11 (c) 5/6
33. 33.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 171 cm (b) 56 cm (c) 47 cm (d) 28 cm
34. 34.Which fraction is greater: 1/4 or 1/5? (a) They are equal (b) 1/5 (c) 1/4
35. 35.What is 15% of 280? (a) 84 (b) 238 (c) 42 (d) 420
36. 36.What is the average of 55, 72, 55, 56, 81 and 95? (a) 68 (b) 71 (c) 69 (d) 70
37. 37.The simple interest on ₹3000 for 4 years is ₹1440. What is the rate per year? (a) 48% (b) 13% (c) 11% (d) 12%
38. 38.8 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 33 days (b) 14 days (c) 32 days (d) 2 days
39. 39.In how many years will ₹10000 earn ₹1000 simple interest at 5% per year? (a) 1 year (b) 4 years (c) 3 years (d) 2 years
40. 40.Every pair follows the same rule: 2 : 8, 4 : 20, 6 : 40. What is 8 : ? (a) 60 (b) 32 (c) 14 (d) 68

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