Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 199 · 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 batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 35 (b) 61 (c) 82 (d) 54
2. 2.Today is Friday. What day of the week will it be after 60 days? (a) Wednesday (b) Monday (c) Thursday (d) Tuesday
3. 3.In how many years will ₹4000 earn ₹480 simple interest at 4% per year? (a) 6 years (b) 3 years (c) 4 years (d) 2 years
4. 4.Every pair follows the same rule: 3 : 9, 5 : 15, 9 : 27. What is 4 : ? (a) 10 (b) 12 (c) 13 (d) 11
5. 5.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 15 (b) 11 (c) 10 (d) 31
6. 6.A bag marked ₹540 is sold at a 10% discount. What is its selling price? (a) ₹54 (b) ₹486 (c) ₹594 (d) ₹530
7. 7.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 57 (b) 2 (c) 1 (d) 26
8. 8.Two bells ring every 12 minutes and every 16 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 48 min (b) 28 min (c) 4 min (d) 192 min
9. 9.The simple interest on ₹4500 for 3 years is ₹810. What is the rate per year? (a) 5% (b) 6% (c) 18% (d) 7%
10. 10.If x/6 + 12 = 23, what is x? (a) 11 (b) 126 (c) 210 (d) 66
11. 11.If 13 April is a Saturday, what day of the week is 20 May? (a) Monday (b) Tuesday (c) Wednesday (d) Sunday
12. 12.What is the smallest number you must add to 82 to make it divisible by 3? (a) 1 (b) 2
13. 13.A bag marked ₹880 is sold at a 40% discount. What is its selling price? (a) ₹840 (b) ₹528 (c) ₹352 (d) ₹1232
14. 14.If 6x + 24 = 90, what is x? (a) 19 (b) 66 (c) 12 (d) 11
15. 15.What is the average of all the whole numbers from 20 to 50? (a) 36 (b) 30 (c) 15 (d) 35
16. 16.3.26 + 8.9 = ? (a) 12.16 (b) 12.26 (c) 4.15 (d) 12.06
17. 17.What is 7/9 of 63? (a) 56 (b) 14 (c) 49 (d) 7
18. 18.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
19. 19.Which is the smallest: 0.27, 0.2, 0.068, 0.123? (a) 0.27 (b) 0.2 (c) 0.068 (d) 0.123
20. 20.If 2 kites cost ₹46, how much do 3 kites cost? (a) ₹92 (b) ₹47 (c) ₹69 (d) ₹138
21. 21.4.96 + 6.2 = ? (a) 11.06 (b) 5.58 (c) 11.26 (d) 11.16
22. 22.Today is Saturday. What day of the week will it be after 19 days? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
23. 23.A bag marked ₹1020 is sold at a 50% discount. What is its selling price? (a) ₹970 (b) ₹511 (c) ₹1530 (d) ₹510
24. 24.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 25 (b) 150 (c) 60 (d) 30
25. 25.Which fraction is greater: 1/8 or 3/4? (a) 1/8 (b) They are equal (c) 3/4
26. 26.7.25 + 1.3 = ? (a) 8.65 (b) 8.55 (c) 7.38 (d) 8.45
27. 27.Every pair follows the same rule: 4 : 5, 5 : 7, 6 : 9. What is 8 : ? (a) 14 (b) 12 (c) 9 (d) 13
28. 28.Two ribbons are 21 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 21 cm (b) 1 cm (c) 7 cm (d) 84 cm
29. 29.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 57 cm
30. 30.9 workers can build a wall in 5 days. How many days will 3 workers take, working at the same speed? (a) 15 days (b) 14 days (c) 11 days (d) 16 days
31. 31.The simple interest on ₹4000 for 2 years is ₹480. What is the rate per year? (a) 7% (b) 12% (c) 5% (d) 6%
32. 32.What is the smallest number you must add to 372 to make it divisible by 9? (a) 6 (b) 5 (c) 7 (d) 3
33. 33.Which fraction is greater: 4/7 or 1/12? (a) 4/7 (b) 1/12 (c) They are equal
34. 34.What is the remainder when 206 is divided by 5? (a) 0 (b) 1 (c) 2 (d) 4
35. 35.If 2 pens cost ₹18, how much do 10 pens cost? (a) ₹99 (b) ₹26 (c) ₹180 (d) ₹90
36. 36.If 4x + 12 = x + 18, what is x? (a) 3 (b) 2 (c) 4 (d) 10
37. 37.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 24 min (c) 135 min (d) 45 min
38. 38.A bag marked ₹1780 is sold at a 30% discount. What is its selling price? (a) ₹534 (b) ₹1246 (c) ₹2314 (d) ₹1750
39. 39.What is the remainder when 363 is divided by 5? (a) 1 (b) 3 (c) 2 (d) 4
40. 40.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 9 days (b) 17 days (c) 13 days (d) 25 days

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