Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 527 · 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 869 is divided by 12? (a) 4 (b) 5 (c) 6 (d) 7
2. 2.If 7 December is a Wednesday, what day of the week is 19 December? (a) Sunday (b) Wednesday (c) Monday (d) Tuesday
3. 3.What is the smallest number of sweets that can be shared equally among 15 children or among 35 children, with none left over? (a) 210 (b) 50 (c) 105 (d) 525
4. 4.What is the smallest number of sweets that can be shared equally among 10 children or among 35 children, with none left over? (a) 140 (b) 45 (c) 70 (d) 350
5. 5.Which fraction is greater: 1/7 or 6/11? (a) 1/7 (b) They are equal (c) 6/11
6. 6.4 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 7 days (b) 9 days (c) 8 days (d) 5 days
7. 7.Which of these numbers is divisible by 11? (a) 1254 (b) 1268 (c) 1257 (d) 1244
8. 8.What is the remainder when 426 is divided by 9? (a) 3 (b) 6 (c) 2 (d) 4
9. 9.The simple interest on ₹2000 for 2 years is ₹320. What is the rate per year? (a) 16% (b) 7% (c) 8% (d) 9%
10. 10.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 224 min (c) 36 min (d) 4 min
11. 11.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 33 (c) 43 (d) 14
12. 12.Which fraction is greater: 1/6 or 2/5? (a) They are equal (b) 1/6 (c) 2/5
13. 13.Every pair follows the same rule: 2 : 3, 4 : 15, 6 : 35. What is 5 : ? (a) 6 (b) 25 (c) 23 (d) 24
14. 14.Today is Wednesday. What day of the week will it be after 90 days? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
15. 15.What is 1/2 of 22? (a) 22 (b) 11 (c) 12 (d) 10
16. 16.Two bells ring every 12 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 252 min (b) 33 min (c) 3 min (d) 84 min
17. 17.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 50 cm
18. 18.A shopkeeper buys a toy for ₹760 and sells it for ₹684. What is his loss percent? (a) 76% (b) 10% (c) 5% (d) 15%
19. 19.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 153 cm (b) 26 cm (c) 52 cm (d) 43 cm
20. 20.If 12 March is a Tuesday, what day of the week is 6 April? (a) Sunday (b) Friday (c) Monday (d) Saturday
21. 21.Which is the smallest: 0.157, 0.2, 0.26, 0.081? (a) 0.157 (b) 0.2 (c) 0.26 (d) 0.081
22. 22.A shopkeeper buys a toy for ₹580 and sells it for ₹609. What is his profit percent? (a) 29% (b) 10% (c) 5% (d) 6%
23. 23.If 8 pens cost ₹168, how much do 2 pens cost? (a) ₹63 (b) ₹336 (c) ₹42 (d) ₹162
24. 24.Which fraction is greater: 5/6 or 2/7? (a) 5/6 (b) 2/7 (c) They are equal
25. 25.₹108 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹12 (b) ₹96 (c) ₹108 (d) ₹54
26. 26.Two ribbons are 50 cm and 80 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 30 cm (b) 5 cm (c) 50 cm (d) 10 cm
27. 27.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 60 sq cm (d) 50 sq cm
28. 28.If 5 kites cost ₹100, how much do 3 kites cost? (a) ₹60 (b) ₹98 (c) ₹300 (d) ₹80
29. 29.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 29 cm (c) 36 cm (d) 77 cm
30. 30.If 6 mangoes cost ₹48, how much do 2 mangoes cost? (a) ₹96 (b) ₹16 (c) ₹44 (d) ₹24
31. 31.₹8000 is invested at 7% per year simple interest. What is the amount after 4 years? (a) ₹10240 (b) ₹8560 (c) ₹10800 (d) ₹2240
32. 32.7.59 + 8.1 = ? (a) 15.69 (b) 8.4 (c) 15.59 (d) 15.79
33. 33.If x/2 + 2 = 5, what is x? (a) 14 (b) 3 (c) 8 (d) 6
34. 34.Which is the greatest: 0.7, 0.79, 0.026, 0.648? (a) 0.7 (b) 0.79 (c) 0.026 (d) 0.648
35. 35.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 18 cm (b) 30 cm (c) 36 cm (d) 72 cm
36. 36.1/2 + 1/9 = ? (a) 5/9 (b) 2/3 (c) 11/18 (d) 2/11
37. 37.7 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 13 days (b) 15 days (c) 11 days (d) 14 days
38. 38.What is the smallest number of sweets that can be shared equally among 16 children or among 20 children, with none left over? (a) 160 (b) 36 (c) 320 (d) 80
39. 39.Every pair follows the same rule: 5 : 40, 6 : 48, 8 : 64. What is 3 : ? (a) 23 (b) 25 (c) 24 (d) 38
40. 40.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 54 (b) 5 (c) 99 (d) 50

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