Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 898 · 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.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 54 cm (b) 21 cm (c) 39 cm (d) 42 cm
2. 2.Which fraction is greater: 2/3 or 5/11? (a) 2/3 (b) 5/11 (c) They are equal
3. 3.3 workers can build a wall in 8 days. How many days will 12 workers take, working at the same speed? (a) 17 days (b) 2 days (c) 32 days (d) 3 days
4. 4.1/3 + 5/9 = ? (a) 8/9 (b) 7/9 (c) 1/2 (d) 1
5. 5.Every pair follows the same rule: 2 : 8, 4 : 12, 8 : 20. What is 9 : ? (a) 23 (b) 15 (c) 22 (d) 36
6. 6.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 37 (b) 79 (c) 56 (d) 30
7. 7.What is the simple interest on ₹5000 at 10% per year for 2 years? (a) ₹1000 (b) ₹500 (c) ₹1500 (d) ₹6000
8. 8.What is the smallest number you must add to 147 to make it divisible by 9? (a) 6 (b) 5 (c) 3 (d) 7
9. 9.What is the average of 24, 46, 39 and 27? (a) 35 (b) 33 (c) 34 (d) 36
10. 10.If 5x + 8 = 53, what is x? (a) 9 (b) 10 (c) 8 (d) 45
11. 11.Two ribbons are 8 cm and 18 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) 8 cm (c) 1 cm (d) 10 cm
12. 12.If 6 pens cost ₹24, how much do 11 pens cost? (a) ₹44 (b) ₹48 (c) ₹29 (d) ₹264
13. 13.Which is the greatest: 0.62, 0.591, 0.6, 0.034? (a) 0.62 (b) 0.591 (c) 0.6 (d) 0.034
14. 14.If 2 kites cost ₹38, how much do 12 kites cost? (a) ₹48 (b) ₹228 (c) ₹456 (d) ₹247
15. 15.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 140 cm (c) 47 cm (d) 54 cm
16. 16.If 9x + 3 = 111, what is x? (a) 12 (b) 108 (c) 11 (d) 13
17. 17.9.07 + 2.4 = ? (a) 11.37 (b) 9.31 (c) 11.57 (d) 11.47
18. 18.What is 5/9 of 63? (a) 7 (b) 28 (c) 35 (d) 42
19. 19.2.51 + 2.1 = ? (a) 4.51 (b) 2.72 (c) 4.61 (d) 4.71
20. 20.₹2500 is invested at 9% per year simple interest. What is the amount after 4 years? (a) ₹3400 (b) ₹3625 (c) ₹2725 (d) ₹900
21. 21.1/3 + 1/2 = ? (a) 2/3 (b) 2/5 (c) 5/6 (d) 1
22. 22.Today is Tuesday. What day of the week will it be after 16 days? (a) Thursday (b) Friday (c) Wednesday (d) Saturday
23. 23.₹100 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹90 (b) ₹10 (c) ₹50 (d) ₹100
24. 24.If 1 July is a Saturday, what day of the week is 10 July? (a) Wednesday (b) Sunday (c) Tuesday (d) Monday
25. 25.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 7 days (b) 8 days (c) 15 days (d) 6 days
26. 26.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 46 (b) 39 (c) 93 (d) 40
27. 27.Two ribbons are 30 cm and 54 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 30 cm (c) 24 cm (d) 3 cm
28. 28.Every pair follows the same rule: 5 : 29, 6 : 40, 9 : 85. What is 7 : ? (a) 55 (b) 31 (c) 54 (d) 53
29. 29.Every pair follows the same rule: 4 : 64, 5 : 125, 6 : 216. What is 1 : ? (a) 16 (b) 1 (c) 2 (d) 61
30. 30.What is 2/5 of 30? (a) 12 (b) 6 (c) 18 (d) 13
31. 31.In how many years will ₹3000 earn ₹1080 simple interest at 12% per year? (a) 3 years (b) 6 years (c) 2 years (d) 4 years
32. 32.What is the smallest number of sweets that can be shared equally among 6 children or among 14 children, with none left over? (a) 84 (b) 20 (c) 43 (d) 42
33. 33.Which fraction is greater: 4/11 or 3/5? (a) They are equal (b) 4/11 (c) 3/5
34. 34.If 6 mangoes cost ₹60, how much do 7 mangoes cost? (a) ₹61 (b) ₹70 (c) ₹80 (d) ₹420
35. 35.What is the value of the digit 5 in 41.356? (a) 0.5 (b) 5 (c) 0.05 (d) 0.005
36. 36.₹8000 is invested at 5% per year simple interest. What is the amount after 2 years? (a) ₹8800 (b) ₹9200 (c) ₹8400 (d) ₹800
37. 37.What is the simple interest on ₹8000 at 9% per year for 2 years? (a) ₹9440 (b) ₹720 (c) ₹2160 (d) ₹1440
38. 38.9.81 + 4.7 = ? (a) 14.51 (b) 14.41 (c) 10.28 (d) 14.61
39. 39.Today is Monday. What day of the week will it be after 60 days? (a) Friday (b) Thursday (c) Sunday (d) Saturday
40. 40.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 26? (a) 12 (b) 36 (c) 28 (d) 26

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