Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 565 · 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. 1.1/3 + 1/3 = ? (a) 2/3 (b) 1/3 (c) 4/3 (d) 1
2. 2.Which is the greatest: 0.315, 0.022, 0.43, 0.4? (a) 0.315 (b) 0.022 (c) 0.43 (d) 0.4
3. 3.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 182 sq cm (d) 168 sq cm
4. 4.What is the smallest number of sweets that can be shared equally among 9 children or among 21 children, with none left over? (a) 189 (b) 63 (c) 30 (d) 126
5. 5.What is the remainder when 785 is divided by 11? (a) 5 (b) 4 (c) 7 (d) 3
6. 6.Two ribbons are 6 cm and 9 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 18 cm (b) 3 cm (c) 6 cm (d) 1 cm
7. 7.If 3 pens cost ₹72, how much do 6 pens cost? (a) ₹144 (b) ₹75 (c) ₹168 (d) ₹432
8. 8.A batter has an average of 60 runs in 5 matches. How many runs are needed in the next match to raise the average to 64? (a) 68 (b) 64 (c) 84 (d) 24
9. 9.2.07 + 5.1 = ? (a) 2.58 (b) 7.07 (c) 7.27 (d) 7.17
10. 10.What is 1/2 of 18? (a) 10 (b) 8 (c) 9 (d) 18
11. 11.Which of these numbers is divisible by 4? (a) 823 (b) 820 (c) 819 (d) 827
12. 12.Every pair follows the same rule: 4 : 22, 6 : 42, 7 : 55. What is 2 : ? (a) 9 (b) 10 (c) 20 (d) 11
13. 13.2/5 + 1/5 = ? (a) 4/5 (b) 2/5 (c) 3/10 (d) 3/5
14. 14.What is the value of the digit 4 in 32.164? (a) 0.04 (b) 0.004 (c) 0.4 (d) 4
15. 15.What is the average of 66, 56, 63, 81 and 69? (a) 68 (b) 67 (c) 66 (d) 69
16. 16.What is the remainder when 450 is divided by 8? (a) 1 (b) 2 (c) 6 (d) 3
17. 17.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 35 cm (b) 6 cm (c) 7 cm (d) 12 cm
18. 18.What is the average of all the whole numbers from 8 to 18? (a) 10 (b) 5 (c) 14 (d) 13
19. 19.Which is the greatest: 0.38, 0.297, 0.083, 0.3? (a) 0.38 (b) 0.297 (c) 0.083 (d) 0.3
20. 20.What is the units digit of 9^33? (a) 8 (b) 7 (c) 9 (d) 1
21. 21.What is the units digit of 8^51? (a) 6 (b) 2 (c) 8 (d) 4
22. 22.What is the smallest number of sweets that can be shared equally among 9 children or among 12 children, with none left over? (a) 72 (b) 36 (c) 21 (d) 108
23. 23.What is 20% of 820? (a) 164 (b) 328 (c) 656 (d) 1640
24. 24.If 6 December is a Saturday, what day of the week is 14 December? (a) Saturday (b) Tuesday (c) Monday (d) Sunday
25. 25.A shopkeeper buys a toy for ₹380 and sells it for ₹304. What is his loss percent? (a) 25% (b) 15% (c) 76% (d) 20%
26. 26.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 35 (b) 49 (c) 57 (d) 27
27. 27.Every pair follows the same rule: 2 : 10, 3 : 12, 6 : 18. What is 7 : ? (a) 35 (b) 15 (c) 21 (d) 20
28. 28.8 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 4 days (b) 17 days (c) 16 days (d) 12 days
29. 29.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 26 min (b) 2 min (c) 168 min (d) 84 min
30. 30.A shopkeeper buys a toy for ₹560 and sells it for ₹784. What is his profit percent? (a) 40% (b) 45% (c) 35% (d) 41%
31. 31.What is the average of 25, 22, 33, 20, 35 and 9? (a) 26 (b) 23 (c) 25 (d) 24
32. 32.What is the value of the digit 3 in 72.391? (a) 0.03 (b) 3 (c) 0.3 (d) 0.003
33. 33.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 80 sq cm (d) 96 sq cm
34. 34.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 44 sq cm (b) 105 sq cm (c) 22 sq cm (d) 120 sq cm
35. 35.₹108 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹12 (b) ₹48 (c) ₹60 (d) ₹54
36. 36.What is the value of the digit 4 in 97.841? (a) 0.4 (b) 0.004 (c) 0.04 (d) 4
37. 37.If x/2 + 4 = 11, what is x? (a) 30 (b) 18 (c) 7 (d) 14
38. 38.If 7x + 5 = 82, what is x? (a) 11 (b) 12 (c) 77 (d) 10
39. 39.3.12 + 6.1 = ? (a) 9.32 (b) 3.73 (c) 9.22 (d) 9.12
40. 40.If 23 April is a Friday, what day of the week is 1 May? (a) Monday (b) Sunday (c) Saturday (d) Friday

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