Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 908 · 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.Today is Monday. What day of the week will it be after 49 days? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
2. 2.If 4 March is a Sunday, what day of the week is 17 March? (a) Friday (b) Saturday (c) Monday (d) Sunday
3. 3.What is 2/5 of 10? (a) 2 (b) 6 (c) 5 (d) 4
4. 4.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 36 sq cm (c) 13 sq cm (d) 26 sq cm
5. 5.If 9x − 98 = 19, what is x? (a) 13 (b) 14 (c) 12 (d) 117
6. 6.A shopkeeper buys a toy for ₹820 and sells it for ₹492. What is his loss percent? (a) 41% (b) 45% (c) 40% (d) 35%
7. 7.Every pair follows the same rule: 4 : 17, 5 : 18, 8 : 21. What is 9 : ? (a) 24 (b) 21 (c) 22 (d) 23
8. 8.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
9. 9.If 2 pens cost ₹36, how much do 5 pens cost? (a) ₹180 (b) ₹90 (c) ₹39 (d) ₹108
10. 10.Every pair follows the same rule: 2 : 10, 6 : 14, 8 : 16. What is 9 : ? (a) 18 (b) 45 (c) 16 (d) 17
11. 11.What is the average of all the whole numbers from 41 to 65? (a) 54 (b) 24 (c) 12 (d) 53
12. 12.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 59 (c) 49 (d) 20
13. 13.Every pair follows the same rule: 4 : 14, 7 : 20, 9 : 24. What is 3 : ? (a) 13 (b) 14 (c) 12 (d) 11
14. 14.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 42 sq cm (c) 12 sq cm (d) 35 sq cm
15. 15.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 20 (b) 37 (c) 18 (d) 35
16. 16.If 5x − 5 = 10, what is x? (a) 1 (b) 4 (c) 3 (d) 15
17. 17.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 46 (b) 38 (c) 16 (d) 34
18. 18.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 42 (b) 27 (c) 126 (d) 84
19. 19.A shopkeeper buys a toy for ₹600 and sells it for ₹480. What is his loss percent? (a) 21% (b) 25% (c) 20% (d) 15%
20. 20.Two ribbons are 24 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) 8 cm (b) 24 cm (c) 4 cm (d) 16 cm
21. 21.8/9 + 6/9 = ? (a) 13/9 (b) 5/3 (c) 7/9 (d) 14/9
22. 22.Two bells ring every 6 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 42 min (b) 2 min (c) 20 min (d) 84 min
23. 23.If 8 March is a Tuesday, what day of the week is 23 March? (a) Wednesday (b) Tuesday (c) Thursday (d) Friday
24. 24.If 3 August is a Thursday, what day of the week is 12 August? (a) Friday (b) Monday (c) Saturday (d) Sunday
25. 25.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 49 sq cm
26. 26.What is the average of all the whole numbers from 32 to 58? (a) 46 (b) 13 (c) 45 (d) 26
27. 27.Which is the smallest: 0.456, 0.024, 0.5, 0.53? (a) 0.456 (b) 0.024 (c) 0.5 (d) 0.53
28. 28.What is the average of 94, 74, 80 and 72? (a) 82 (b) 79 (c) 80 (d) 81
29. 29.Two bells ring every 12 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 180 min (b) 27 min (c) 60 min (d) 3 min
30. 30.What is the average of all the whole numbers from 29 to 41? (a) 12 (b) 6 (c) 36 (d) 35
31. 31.Which fraction is greater: 9/11 or 1/3? (a) 1/3 (b) 9/11 (c) They are equal
32. 32.Today is Friday. What day of the week will it be after 27 days? (a) Saturday (b) Friday (c) Thursday (d) Wednesday
33. 33.What is the smallest number you must add to 297 to make it divisible by 4? (a) 1 (b) 2 (c) 3
34. 34.Which of these numbers is divisible by 9? (a) 8015 (b) 7996 (c) 8002 (d) 8001
35. 35.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 40 min (c) 20 min (d) 14 min
36. 36.If 9x + 2 = 4x + 12, what is x? (a) 1 (b) 2 (c) 4 (d) 3
37. 37.Every pair follows the same rule: 2 : 8, 7 : 23, 8 : 26. What is 4 : ? (a) 14 (b) 15 (c) 16 (d) 10
38. 38.Every pair follows the same rule: 2 : 21, 3 : 22, 8 : 27. What is 5 : ? (a) 24 (b) 26 (c) 23 (d) 25
39. 39.What is the smallest number you must add to 883 to make it divisible by 12? (a) 7 (b) 6 (c) 4 (d) 5
40. 40.If 8x + 23 = 63, what is x? (a) 5 (b) 6 (c) 40 (d) 4

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