Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 189 · 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 is the smallest: 0.53, 0.027, 0.457, 0.5? (a) 0.53 (b) 0.027 (c) 0.457 (d) 0.5
2. 2.A shopkeeper buys a toy for ₹300 and sells it for ₹360. What is his profit percent? (a) 60% (b) 15% (c) 25% (d) 20%
3. 3.₹248 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹93 (b) ₹31 (c) ₹155 (d) ₹124
4. 4.Every pair follows the same rule: 3 : 15, 7 : 55, 8 : 70. What is 4 : ? (a) 10 (b) 20 (c) 22 (d) 16
5. 5.Two bells ring every 15 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 105 min (b) 525 min (c) 50 min (d) 5 min
6. 6.What is the units digit of 7^56? (a) 1 (b) 9 (c) 7 (d) 3
7. 7.A shopkeeper buys a toy for ₹160 and sells it for ₹184. What is his profit percent? (a) 20% (b) 10% (c) 24% (d) 15%
8. 8.₹225 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹175 (b) ₹25 (c) ₹50 (d) ₹200
9. 9.The simple interest on ₹2500 for 3 years is ₹375. What is the rate per year? (a) 5% (b) 15% (c) 6% (d) 4%
10. 10.Two ribbons are 8 cm and 10 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 40 cm (c) 1 cm (d) 8 cm
11. 11.Two ribbons are 16 cm and 36 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) 20 cm (d) 16 cm
12. 12.If 13 May is a Sunday, what day of the week is 24 May? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
13. 13.If 5 December is a Thursday, what day of the week is 16 December? (a) Wednesday (b) Sunday (c) Tuesday (d) Monday
14. 14.If 3 May is a Tuesday, what day of the week is 11 May? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
15. 15.What is 5% of 60? (a) 3 (b) 6 (c) 57 (d) 30
16. 16.Every pair follows the same rule: 2 : 3, 3 : 8, 4 : 15. What is 5 : ? (a) 22 (b) 6 (c) 25 (d) 24
17. 17.Which is the greatest: 0.43, 0.081, 0.324, 0.4? (a) 0.43 (b) 0.081 (c) 0.324 (d) 0.4
18. 18.₹1000 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹60 (b) ₹1020 (c) ₹1060 (d) ₹1080
19. 19.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 36 sq cm (c) 18 sq cm (d) 45 sq cm
20. 20.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 64 cm (b) 5 cm (c) 10 cm (d) 6 cm
21. 21.Today is Saturday. What day of the week will it be after 40 days? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
22. 22.Which of these numbers is divisible by 4? (a) 3269 (b) 3264 (c) 3266 (d) 3263
23. 23.What is the average of all the whole numbers from 59 to 69? (a) 10 (b) 65 (c) 64 (d) 5
24. 24.Two bells ring every 12 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 216 min (b) 30 min (c) 6 min (d) 36 min
25. 25.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) 525 (c) 50 (d) 105
26. 26.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 33 (b) 48 (c) 34 (d) 99
27. 27.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 64 sq cm (d) 32 sq cm
28. 28.Which is the greatest: 0.647, 0.011, 0.72, 0.7? (a) 0.647 (b) 0.011 (c) 0.72 (d) 0.7
29. 29.What is the value of the digit 1 in 19.372? (a) 0.01 (b) 0.1 (c) 1 (d) 10
30. 30.Two ribbons are 30 cm and 40 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 30 cm (b) 120 cm (c) 5 cm (d) 10 cm
31. 31.6.65 + 1.1 = ? (a) 7.75 (b) 7.85 (c) 6.76 (d) 7.65
32. 32.If 2 May is a Monday, what day of the week is 14 May? (a) Friday (b) Saturday (c) Sunday (d) Monday
33. 33.Two ribbons are 36 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 36 cm (b) 12 cm (c) 6 cm (d) 48 cm
34. 34.₹49 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹7 (b) ₹35 (c) ₹42 (d) ₹14
35. 35.The simple interest on ₹1000 for 3 years is ₹90. What is the rate per year? (a) 2% (b) 9% (c) 3% (d) 4%
36. 36.What is the smallest number you must add to 413 to make it divisible by 10? (a) 7 (b) 8 (c) 6 (d) 3
37. 37.Every pair follows the same rule: 2 : 15, 5 : 18, 8 : 21. What is 9 : ? (a) 23 (b) 22 (c) 24 (d) 21
38. 38.Which is the smallest: 0.123, 0.062, 0.2, 0.21? (a) 0.123 (b) 0.062 (c) 0.2 (d) 0.21
39. 39.Every pair follows the same rule: 4 : 19, 6 : 39, 7 : 52. What is 2 : ? (a) 17 (b) 8 (c) 7 (d) 6
40. 40.What is 1/6 of 24? (a) 5 (b) 20 (c) 8 (d) 4

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