Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 396 · 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.What is the remainder when 147 is divided by 4? (a) 2 (b) 3 (c) 1 (d) 0
2. 2.4.91 + 3.5 = ? (a) 8.41 (b) 8.51 (c) 5.26 (d) 8.31
3. 3.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 88 sq cm (b) 19 sq cm (c) 99 sq cm (d) 38 sq cm
4. 4.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 15 (b) 29 (c) 32 (d) 41
5. 5.Which is the greatest: 0.89, 0.074, 0.8, 0.798? (a) 0.89 (b) 0.074 (c) 0.8 (d) 0.798
6. 6.What is the average of 34, 33, 17 and 20? (a) 25 (b) 28 (c) 26 (d) 27
7. 7.What is 5/7 of 21? (a) 3 (b) 6 (c) 15 (d) 18
8. 8.If 3 pens cost ₹27, how much do 7 pens cost? (a) ₹72 (b) ₹189 (c) ₹63 (d) ₹31
9. 9.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 25? (a) 18 (b) 25 (c) 41 (d) 27
10. 10.If 4x + 6 = 2x + 30, what is x? (a) 4 (b) 13 (c) 18 (d) 12
11. 11.If 3 mangoes cost ₹72, how much do 7 mangoes cost? (a) ₹192 (b) ₹168 (c) ₹504 (d) ₹76
12. 12.A shopkeeper buys a toy for ₹480 and sells it for ₹528. What is his profit percent? (a) 15% (b) 5% (c) 48% (d) 10%
13. 13.What is the simple interest on ₹3000 at 5% per year for 4 years? (a) ₹750 (b) ₹150 (c) ₹3600 (d) ₹600
14. 14.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 50 cm (b) 6 cm (c) 7 cm (d) 12 cm
15. 15.2/7 + 1/2 = ? (a) 6/7 (b) 1/3 (c) 11/14 (d) 5/7
16. 16.What is the units digit of 7^59? (a) 3 (b) 1 (c) 9 (d) 7
17. 17.Which is the smallest: 0.692, 0.7, 0.024, 0.77? (a) 0.692 (b) 0.7 (c) 0.024 (d) 0.77
18. 18.If 5 notebooks cost ₹15, how much do 6 notebooks cost? (a) ₹18 (b) ₹90 (c) ₹21 (d) ₹16
19. 19.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 16 cm (d) 18 cm
20. 20.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 21 cm (c) 17 cm (d) 10 cm
21. 21.If 9x − 33 = 102, what is x? (a) 135 (b) 14 (c) 16 (d) 15
22. 22.Which fraction is greater: 2/3 or 1/10? (a) 1/10 (b) They are equal (c) 2/3
23. 23.What is the simple interest on ₹3000 at 9% per year for 5 years? (a) ₹1620 (b) ₹270 (c) ₹4350 (d) ₹1350
24. 24.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 34 sq cm (c) 72 sq cm (d) 17 sq cm
25. 25.A bag marked ₹1560 is sold at a 20% discount. What is its selling price? (a) ₹1248 (b) ₹1872 (c) ₹1540 (d) ₹312
26. 26.What is the smallest number of sweets that can be shared equally among 12 children or among 28 children, with none left over? (a) 40 (b) 168 (c) 336 (d) 84
27. 27.8 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 25 days (b) 12 days (c) 24 days (d) 23 days
28. 28.If 10 March is a Tuesday, what day of the week is 19 March? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
29. 29.If 2 July is a Friday, what day of the week is 13 July? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
30. 30.3.39 + 7.8 = ? (a) 4.17 (b) 11.09 (c) 11.19 (d) 11.29
31. 31.Two bells ring every 25 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 55 min (b) 5 min (c) 750 min (d) 150 min
32. 32.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 55. Which number was taken away? (a) 50 (b) 105 (c) 26 (d) 25
33. 33.If 2x + 6 = 30, what is x? (a) 12 (b) 18 (c) 24 (d) 13
34. 34.₹396 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹198 (b) ₹36 (c) ₹324 (d) ₹72
35. 35.A shopkeeper buys a toy for ₹900 and sells it for ₹1035. What is his profit percent? (a) 20% (b) 16% (c) 10% (d) 15%
36. 36.If 3 March is a Friday, what day of the week is 11 March? (a) Sunday (b) Saturday (c) Monday (d) Friday
37. 37.8.65 + 6.8 = ? (a) 9.33 (b) 15.45 (c) 15.55 (d) 15.35
38. 38.The simple interest on ₹8000 for 5 years is ₹2400. What is the rate per year? (a) 30% (b) 5% (c) 7% (d) 6%
39. 39.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 84 (c) 30 (d) 66
40. 40.If 4x − 5 = 23, what is x? (a) 8 (b) 7 (c) 28 (d) 6

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