Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 846 · 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.If 2x + 8 = 28, what is x? (a) 11 (b) 18 (c) 10 (d) 20
2. 2.If 13 January is a Saturday, what day of the week is 25 January? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
3. 3.A shopkeeper buys a toy for ₹860 and sells it for ₹989. What is his profit percent? (a) 16% (b) 20% (c) 10% (d) 15%
4. 4.6.62 + 6.2 = ? (a) 7.24 (b) 12.82 (c) 12.92 (d) 12.72
5. 5.₹352 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹176 (b) ₹32 (c) ₹192 (d) ₹160
6. 6.3/5 + 1/4 = ? (a) 4/5 (b) 9/10 (c) 4/9 (d) 17/20
7. 7.1/2 + 3/4 = ? (a) 2/3 (b) 1 (c) 5/4 (d) 3/2
8. 8.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 45 cm (b) 187 cm (c) 56 cm (d) 28 cm
9. 9.Every pair follows the same rule: 3 : 9, 5 : 25, 8 : 64. What is 7 : ? (a) 13 (b) 49 (c) 21 (d) 51
10. 10.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 30 (b) 13 (c) 63 (d) 12
11. 11.1/5 + 1/2 = ? (a) 2/7 (b) 4/5 (c) 3/5 (d) 7/10
12. 12.₹9000 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹9540 (b) ₹540 (c) ₹9720 (d) ₹9180
13. 13.What is the average of all the whole numbers from 21 to 35? (a) 28 (b) 29 (c) 14 (d) 7
14. 14.A shopkeeper buys a toy for ₹780 and sells it for ₹585. What is his loss percent? (a) 26% (b) 20% (c) 30% (d) 25%
15. 15.Which fraction is greater: 3/5 or 1/3? (a) They are equal (b) 3/5 (c) 1/3
16. 16.Which of these numbers is divisible by 11? (a) 9154 (b) 9141 (c) 9140 (d) 9143
17. 17.3/8 + 4/6 = ? (a) 13/12 (b) 25/24 (c) 1 (d) 1/2
18. 18.A shopkeeper buys a toy for ₹780 and sells it for ₹546. What is his loss percent? (a) 31% (b) 25% (c) 30% (d) 35%
19. 19.What is the simple interest on ₹7000 at 11% per year for 4 years? (a) ₹10080 (b) ₹3850 (c) ₹770 (d) ₹3080
20. 20.What is 1/3 of 18? (a) 6 (b) 12 (c) 5 (d) 7
21. 21.If 29 March is a Monday, what day of the week is 12 April? (a) Sunday (b) Wednesday (c) Tuesday (d) Monday
22. 22.2/3 + 3/6 = ? (a) 1 (b) 4/3 (c) 7/6 (d) 5/9
23. 23.In how many years will ₹5500 earn ₹1155 simple interest at 7% per year? (a) 2 years (b) 6 years (c) 3 years (d) 4 years
24. 24.What is the simple interest on ₹2500 at 11% per year for 5 years? (a) ₹1650 (b) ₹1375 (c) ₹275 (d) ₹3875
25. 25.Which is the smallest: 0.673, 0.78, 0.7, 0.049? (a) 0.673 (b) 0.78 (c) 0.7 (d) 0.049
26. 26.Which of these numbers is divisible by 6? (a) 1401 (b) 1392 (c) 1389 (d) 1393
27. 27.What is 1/2 of 20? (a) 20 (b) 11 (c) 9 (d) 10
28. 28.Which is the smallest: 0.85, 0.087, 0.793, 0.8? (a) 0.85 (b) 0.087 (c) 0.793 (d) 0.8
29. 29.₹328 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹41 (b) ₹164 (c) ₹205 (d) ₹123
30. 30.If 13 July is a Tuesday, what day of the week is 25 July? (a) Monday (b) Sunday (c) Tuesday (d) Saturday
31. 31.What is the average of 68, 71, 48 and 49? (a) 61 (b) 58 (c) 59 (d) 60
32. 32.What is the average of all the whole numbers from 60 to 98? (a) 19 (b) 38 (c) 79 (d) 80
33. 33.What is the smallest number you must add to 214 to make it divisible by 12? (a) 10 (b) 2 (c) 1 (d) 3
34. 34.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 19 (b) 60 (c) 29 (d) 20
35. 35.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 54 cm (c) 24 cm (d) 30 cm
36. 36.What is the smallest number of sweets that can be shared equally among 9 children or among 12 children, with none left over? (a) 36 (b) 108 (c) 21 (d) 72
37. 37.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 8 cm (c) 63 cm (d) 16 cm
38. 38.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 53 (b) 32 (c) 46 (d) 25
39. 39.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 18 cm (b) 9 cm (c) 120 cm (d) 10 cm
40. 40.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 18 sq cm (b) 88 sq cm (c) 36 sq cm (d) 77 sq cm

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