Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 370 · 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 smallest number of sweets that can be shared equally among 10 children or among 25 children, with none left over? (a) 35 (b) 100 (c) 250 (d) 50
2. 2.What is the value of the digit 2 in 62.741? (a) 0.02 (b) 20 (c) 0.2 (d) 2
3. 3.Two bells ring every 15 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 315 min (b) 36 min (c) 3 min (d) 105 min
4. 4.Which is the smallest: 0.3, 0.032, 0.258, 0.37? (a) 0.3 (b) 0.032 (c) 0.258 (d) 0.37
5. 5.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 32 (b) 70 (c) 62 (d) 86
6. 6.What is the simple interest on ₹2000 at 6% per year for 4 years? (a) ₹600 (b) ₹480 (c) ₹2480 (d) ₹120
7. 7.Every pair follows the same rule: 4 : 20, 5 : 25, 8 : 40. What is 3 : ? (a) 14 (b) 19 (c) 15 (d) 16
8. 8.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 10 sq cm (d) 25 sq cm
9. 9.What is the average of 68, 40, 56, 45 and 66? (a) 54 (b) 57 (c) 55 (d) 56
10. 10.If 8x − 25 = 7, what is x? (a) 4 (b) 3 (c) 5 (d) 32
11. 11.Every pair follows the same rule: 2 : 10, 5 : 13, 8 : 16. What is 4 : ? (a) 13 (b) 11 (c) 12 (d) 20
12. 12.What is the remainder when 459 is divided by 6? (a) 3 (b) 2 (c) 4 (d) 5
13. 13.Today is Tuesday. What day of the week will it be after 91 days? (a) Wednesday (b) Tuesday (c) Monday (d) Thursday
14. 14.1/2 + 1/2 = ? (a) 3/2 (b) 1 (c) 1/2 (d) 2
15. 15.The simple interest on ₹2000 for 5 years is ₹1200. What is the rate per year? (a) 60% (b) 13% (c) 11% (d) 12%
16. 16.If 23 November is a Sunday, what day of the week is 2 December? (a) Tuesday (b) Thursday (c) Monday (d) Wednesday
17. 17.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 10 cm
18. 18.What is the units digit of 4^39? (a) 6 (b) 5 (c) 3 (d) 4
19. 19.What is the smallest number of sweets that can be shared equally among 20 children or among 35 children, with none left over? (a) 140 (b) 55 (c) 280 (d) 700
20. 20.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 65? (a) 85 (b) 25 (c) 70 (d) 65
21. 21.Today is Monday. What day of the week will it be after 18 days? (a) Sunday (b) Friday (c) Thursday (d) Saturday
22. 22.What is 5/7 of 63? (a) 18 (b) 54 (c) 45 (d) 9
23. 23.If 7x + 10 = 4x + 13, what is x? (a) 4 (b) 2 (c) 3 (d) 1
24. 24.What is the value of the digit 1 in 19.374? (a) 1 (b) 10 (c) 0.01 (d) 0.1
25. 25.Which is the greatest: 0.423, 0.5, 0.011, 0.55? (a) 0.423 (b) 0.5 (c) 0.011 (d) 0.55
26. 26.If 26 September is a Monday, what day of the week is 3 October? (a) Wednesday (b) Tuesday (c) Monday (d) Sunday
27. 27.What is 25% of 540? (a) 1350 (b) 405 (c) 270 (d) 135
28. 28.What is the smallest number of sweets that can be shared equally among 12 children or among 20 children, with none left over? (a) 32 (b) 60 (c) 240 (d) 120
29. 29.If 17 May is a Wednesday, what day of the week is 3 June? (a) Friday (b) Saturday (c) Monday (d) Sunday
30. 30.If 5x + 16 = x + 60, what is x? (a) 12 (b) 11 (c) 19 (d) 13
31. 31.If 6 July is a Tuesday, what day of the week is 17 July? (a) Friday (b) Monday (c) Saturday (d) Sunday
32. 32.If 5x − 7 = 58, what is x? (a) 13 (b) 65 (c) 12 (d) 14
33. 33.What is the average of all the whole numbers from 42 to 74? (a) 32 (b) 59 (c) 58 (d) 16
34. 34.In how many years will ₹4500 earn ₹2025 simple interest at 9% per year? (a) 6 years (b) 10 years (c) 4 years (d) 5 years
35. 35.If 18 October is a Friday, what day of the week is 3 November? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
36. 36.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 49 sq cm (d) 12 sq cm
37. 37.If x/3 + 4 = 11, what is x? (a) 7 (b) 45 (c) 21 (d) 29
38. 38.₹6500 is invested at 8% per year simple interest. What is the amount after 4 years? (a) ₹7020 (b) ₹9100 (c) ₹2080 (d) ₹8580
39. 39.If 13 October is a Monday, what day of the week is 22 October? (a) Tuesday (b) Thursday (c) Friday (d) Wednesday
40. 40.What is the simple interest on ₹1500 at 9% per year for 3 years? (a) ₹135 (b) ₹540 (c) ₹405 (d) ₹1905

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