Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 563 · 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.If 3x − 22 = 14, what is x? (a) 36 (b) 13 (c) 11 (d) 12
2. 2.If 6 notebooks cost ₹90, how much do 12 notebooks cost? (a) ₹180 (b) ₹96 (c) ₹195 (d) ₹1080
3. 3.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 25 (b) 10 (c) 11 (d) 55
4. 4.A shopkeeper buys a toy for ₹640 and sells it for ₹576. What is his loss percent? (a) 15% (b) 10% (c) 5% (d) 64%
5. 5.If 5x + 11 = 76, what is x? (a) 12 (b) 13 (c) 65 (d) 14
6. 6.4.11 + 2.1 = ? (a) 4.32 (b) 6.21 (c) 6.31 (d) 6.11
7. 7.If 25 April is a Thursday, what day of the week is 13 May? (a) Tuesday (b) Monday (c) Sunday (d) Wednesday
8. 8.Which fraction is greater: 1/3 or 4/11? (a) They are equal (b) 4/11 (c) 1/3
9. 9.Which is the greatest: 0.2, 0.184, 0.016, 0.23? (a) 0.2 (b) 0.184 (c) 0.016 (d) 0.23
10. 10.Today is Wednesday. What day of the week will it be after 86 days? (a) Thursday (b) Saturday (c) Sunday (d) Friday
11. 11.If x/2 + 14 = 16, what is x? (a) 60 (b) 4 (c) 2 (d) 18
12. 12.What is the value of the digit 9 in 57.439? (a) 9 (b) 0.09 (c) 0.009 (d) 0.9
13. 13.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 14 cm (b) 7 cm (c) 102 cm (d) 8 cm
14. 14.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 38 (b) 50 (c) 36 (d) 16
15. 15.What is 75% of 120? (a) 180 (b) 90 (c) 900 (d) 30
16. 16.4.41 + 1.2 = ? (a) 5.51 (b) 5.61 (c) 5.71 (d) 4.53
17. 17.What is the average of all the whole numbers from 47 to 85? (a) 38 (b) 19 (c) 66 (d) 67
18. 18.What is the average of 91, 90, 63, 82, 85 and 51? (a) 76 (b) 77 (c) 78 (d) 79
19. 19.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 171 sq cm (b) 28 sq cm (c) 190 sq cm (d) 56 sq cm
20. 20.If 3 notebooks cost ₹33, how much do 4 notebooks cost? (a) ₹34 (b) ₹132 (c) ₹55 (d) ₹44
21. 21.What is the smallest number of sweets that can be shared equally among 16 children or among 28 children, with none left over? (a) 448 (b) 224 (c) 44 (d) 112
22. 22.₹3000 is invested at 12% per year simple interest. What is the amount after 3 years? (a) ₹4080 (b) ₹4440 (c) ₹3360 (d) ₹1080
23. 23.₹3000 is invested at 11% per year simple interest. What is the amount after 2 years? (a) ₹3330 (b) ₹3990 (c) ₹660 (d) ₹3660
24. 24.₹77 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹7 (b) ₹49 (c) ₹42 (d) ₹35
25. 25.If 4 July is a Thursday, what day of the week is 18 July? (a) Saturday (b) Friday (c) Thursday (d) Wednesday
26. 26.₹128 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹96 (b) ₹64 (c) ₹128 (d) ₹32
27. 27.9.45 + 8.3 = ? (a) 17.65 (b) 17.75 (c) 17.85 (d) 10.28
28. 28.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 36 (c) 88 (d) 60
29. 29.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 209 sq cm (b) 228 sq cm (c) 30 sq cm (d) 60 sq cm
30. 30.What is the value of the digit 9 in 29.764? (a) 0.09 (b) 9 (c) 90 (d) 0.9
31. 31.If 6 December is a Monday, what day of the week is 20 December? (a) Wednesday (b) Monday (c) Sunday (d) Tuesday
32. 32.₹231 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹84 (b) ₹21 (c) ₹147 (d) ₹168
33. 33.₹2500 is invested at 3% per year simple interest. What is the amount after 3 years? (a) ₹225 (b) ₹2575 (c) ₹2725 (d) ₹2800
34. 34.In how many years will ₹6500 earn ₹260 simple interest at 2% per year? (a) 2 years (b) 4 years (c) 1 year (d) 3 years
35. 35.If 9 kites cost ₹36, how much do 12 kites cost? (a) ₹39 (b) ₹432 (c) ₹52 (d) ₹48
36. 36.If 13 August is a Friday, what day of the week is 25 August? (a) Wednesday (b) Thursday (c) Tuesday (d) Friday
37. 37.If 19 October is a Wednesday, what day of the week is 9 November? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
38. 38.A bag marked ₹1520 is sold at a 10% discount. What is its selling price? (a) ₹1672 (b) ₹1510 (c) ₹152 (d) ₹1368
39. 39.Every pair follows the same rule: 4 : 11, 7 : 20, 9 : 26. What is 8 : ? (a) 24 (b) 23 (c) 22 (d) 15
40. 40.₹396 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹198 (b) ₹324 (c) ₹36 (d) ₹72

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