Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 456 · 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.Every pair follows the same rule: 2 : 10, 6 : 14, 8 : 16. What is 4 : ? (a) 13 (b) 20 (c) 11 (d) 12
2. 2.Which of these numbers is divisible by 8? (a) 5754 (b) 5752 (c) 5767 (d) 5747
3. 3.Every pair follows the same rule: 7 : 26, 8 : 27, 9 : 28. What is 3 : ? (a) 21 (b) 22 (c) 23 (d) 24
4. 4.A shopkeeper buys a toy for ₹180 and sells it for ₹171. What is his loss percent? (a) 6% (b) 5% (c) 10% (d) 9%
5. 5.Two bells ring every 20 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 560 min (c) 140 min (d) 48 min
6. 6.What is 2/7 of 63? (a) 9 (b) 27 (c) 45 (d) 18
7. 7.9.39 + 4.8 = ? (a) 9.87 (b) 14.19 (c) 14.29 (d) 14.09
8. 8.What is the average of 47, 61, 53, 34, 48 and 39? (a) 49 (b) 47 (c) 48 (d) 46
9. 9.Which is the smallest: 0.6, 0.026, 0.68, 0.539? (a) 0.6 (b) 0.026 (c) 0.68 (d) 0.539
10. 10.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 22 (b) 32 (c) 40 (d) 50
11. 11.In how many years will ₹3000 earn ₹600 simple interest at 10% per year? (a) 1 year (b) 2 years (c) 3 years (d) 4 years
12. 12.Two ribbons are 36 cm and 42 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 3 cm (c) 36 cm (d) 252 cm
13. 13.What is the simple interest on ₹10000 at 4% per year for 4 years? (a) ₹11600 (b) ₹2000 (c) ₹400 (d) ₹1600
14. 14.What is the smallest number you must add to 358 to make it divisible by 5? (a) 3 (b) 2 (c) 4 (d) 1
15. 15.If 25 October is a Wednesday, what day of the week is 13 November? (a) Sunday (b) Monday (c) Tuesday (d) Wednesday
16. 16.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 27 sq cm (c) 22 sq cm (d) 11 sq cm
17. 17.If 23 June is a Thursday, what day of the week is 6 July? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
18. 18.Every pair follows the same rule: 2 : 8, 3 : 27, 4 : 64. What is 5 : ? (a) 125 (b) 11 (c) 20 (d) 101
19. 19.If 2 pens cost ₹24, how much do 4 pens cost? (a) ₹60 (b) ₹96 (c) ₹48 (d) ₹26
20. 20.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 40 (b) 30 (c) 55 (d) 65
21. 21.1/3 + 5/8 = ? (a) 6/11 (b) 1 (c) 23/24 (d) 11/12
22. 22.What is the average of all the whole numbers from 28 to 54? (a) 26 (b) 42 (c) 13 (d) 41
23. 23.Every pair follows the same rule: 5 : 19, 6 : 21, 7 : 23. What is 3 : ? (a) 15 (b) 17 (c) 14 (d) 16
24. 24.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 2 min (c) 70 min (d) 140 min
25. 25.1/4 + 1/3 = ? (a) 1/2 (b) 2/3 (c) 2/7 (d) 7/12
26. 26.A shopkeeper buys a toy for ₹520 and sells it for ₹416. What is his loss percent? (a) 25% (b) 15% (c) 20% (d) 21%
27. 27.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 15 cm (b) 28 cm (c) 26 cm (d) 30 cm
28. 28.A teacher has 6 pencils and 10 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 2 (c) 6 (d) 4
29. 29.What is 60% of 180? (a) 216 (b) 72 (c) 1080 (d) 108
30. 30.4.65 + 3.4 = ? (a) 7.95 (b) 8.05 (c) 8.15 (d) 4.99
31. 31.What is the smallest number you must add to 751 to make it divisible by 10? (a) 8 (b) 7 (c) 9 (d) 1
32. 32.Which is the greatest: 0.031, 0.8, 0.784, 0.82? (a) 0.031 (b) 0.8 (c) 0.784 (d) 0.82
33. 33.Every pair follows the same rule: 3 : 9, 5 : 25, 8 : 64. What is 4 : ? (a) 10 (b) 12 (c) 17 (d) 16
34. 34.A teacher has 15 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 15 (b) 90 (c) 1 (d) 3
35. 35.Every pair follows the same rule: 2 : 11, 3 : 16, 7 : 56. What is 6 : ? (a) 43 (b) 46 (c) 44 (d) 15
36. 36.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 112 min (b) 2 min (c) 22 min (d) 56 min
37. 37.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 70 min (b) 5 min (c) 45 min (d) 350 min
38. 38.In how many years will ₹9500 earn ₹2090 simple interest at 11% per year? (a) 1 year (b) 3 years (c) 2 years (d) 4 years
39. 39.In how many years will ₹9000 earn ₹4500 simple interest at 10% per year? (a) 6 years (b) 10 years (c) 5 years (d) 4 years
40. 40.What is the average of all the whole numbers from 7 to 15? (a) 4 (b) 8 (c) 11 (d) 12

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