Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 664 · 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.Which is the smallest: 0.228, 0.39, 0.053, 0.3? (a) 0.228 (b) 0.39 (c) 0.053 (d) 0.3
2. 2.Which fraction is greater: 1/4 or 1/3? (a) 1/3 (b) They are equal (c) 1/4
3. 3.What is 3/7 of 21? (a) 12 (b) 3 (c) 10 (d) 9
4. 4.₹8500 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹3400 (b) ₹9350 (c) ₹11900 (d) ₹12750
5. 5.A shopkeeper buys a toy for ₹960 and sells it for ₹864. What is his loss percent? (a) 5% (b) 96% (c) 10% (d) 15%
6. 6.Which fraction is greater: 1/11 or 3/4? (a) 1/11 (b) They are equal (c) 3/4
7. 7.What is the average of 53, 60, 67, 67 and 63? (a) 64 (b) 62 (c) 61 (d) 63
8. 8.If 13 April is a Wednesday, what day of the week is 3 May? (a) Thursday (b) Wednesday (c) Monday (d) Tuesday
9. 9.Every pair follows the same rule: 5 : 19, 6 : 23, 9 : 35. What is 2 : ? (a) 16 (b) 6 (c) 8 (d) 7
10. 10.If 8 pens cost ₹112, how much do 3 pens cost? (a) ₹42 (b) ₹56 (c) ₹107 (d) ₹336
11. 11.The simple interest on ₹5500 for 3 years is ₹1485. What is the rate per year? (a) 9% (b) 27% (c) 8% (d) 10%
12. 12.₹473 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹43 (b) ₹301 (c) ₹172 (d) ₹344
13. 13.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 11 (b) 20 (c) 12 (d) 21
14. 14.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 103 (b) 54 (c) 61 (d) 56
15. 15.₹429 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹39 (b) ₹273 (c) ₹312 (d) ₹156
16. 16.3.74 + 2.1 = ? (a) 3.95 (b) 5.84 (c) 5.94 (d) 5.74
17. 17.In how many years will ₹6000 earn ₹2160 simple interest at 12% per year? (a) 6 years (b) 4 years (c) 2 years (d) 3 years
18. 18.What is the simple interest on ₹8000 at 8% per year for 2 years? (a) ₹640 (b) ₹9280 (c) ₹1280 (d) ₹1920
19. 19.Which fraction is greater: 3/11 or 1/3? (a) They are equal (b) 1/3 (c) 3/11
20. 20.If 6 kites cost ₹48, how much do 2 kites cost? (a) ₹24 (b) ₹44 (c) ₹96 (d) ₹16
21. 21.If x/3 + 3 = 11, what is x? (a) 42 (b) 8 (c) 24 (d) 30
22. 22.If 5 October is a Thursday, what day of the week is 21 October? (a) Friday (b) Monday (c) Sunday (d) Saturday
23. 23.What is the units digit of 9^49? (a) 9 (b) 8 (c) 7 (d) 1
24. 24.What is the remainder when 445 is divided by 11? (a) 6 (b) 5 (c) 7 (d) 4
25. 25.3 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 21 days (b) 5 days (c) 45 days (d) 9 days
26. 26.What is 3/5 of 10? (a) 8 (b) 6 (c) 4 (d) 2
27. 27.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 144 sq cm (d) 22 sq cm
28. 28.If 10 March is a Sunday, what day of the week is 16 April? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
29. 29.Today is Tuesday. What day of the week will it be after 70 days? (a) Tuesday (b) Monday (c) Wednesday (d) Thursday
30. 30.If x/4 + 15 = 24, what is x? (a) 9 (b) 36 (c) 81 (d) 156
31. 31.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 18 cm (b) 10 cm (c) 152 cm (d) 9 cm
32. 32.What is the value of the digit 2 in 12.358? (a) 0.2 (b) 0.02 (c) 20 (d) 2
33. 33.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 13 (b) 10 (c) 12 (d) 24
34. 34.Which fraction is greater: 2/3 or 2/5? (a) 2/3 (b) They are equal (c) 2/5
35. 35.What is the remainder when 202 is divided by 4? (a) 0 (b) 2 (c) 1 (d) 3
36. 36.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 88 cm
37. 37.If 5x − 14 = 36, what is x? (a) 10 (b) 9 (c) 11 (d) 50
38. 38.If 6x − 16 = 8, what is x? (a) 24 (b) 5 (c) 3 (d) 4
39. 39.If 9 kites cost ₹36, how much do 4 kites cost? (a) ₹16 (b) ₹31 (c) ₹144 (d) ₹20
40. 40.3.06 + 4.2 = ? (a) 3.48 (b) 7.16 (c) 7.26 (d) 7.36

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