Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 71 · 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 1/9 of 18? (a) 3 (b) 2 (c) 16 (d) 4
2. 2.What is 3/4 of 8? (a) 2 (b) 8 (c) 6 (d) 7
3. 3.What is the value of the digit 6 in 25.167? (a) 0.006 (b) 0.6 (c) 0.06 (d) 6
4. 4.If 4 August is a Friday, what day of the week is 19 August? (a) Sunday (b) Friday (c) Monday (d) Saturday
5. 5.Every pair follows the same rule: 2 : 2, 3 : 4, 7 : 12. What is 6 : ? (a) 10 (b) 9 (c) 6 (d) 11
6. 6.Which is the greatest: 0.089, 0.5, 0.59, 0.435? (a) 0.089 (b) 0.5 (c) 0.59 (d) 0.435
7. 7.If x/4 + 12 = 23, what is x? (a) 11 (b) 80 (c) 140 (d) 44
8. 8.What is the remainder when 624 is divided by 10? (a) 3 (b) 4 (c) 6 (d) 5
9. 9.Today is Tuesday. What day of the week will it be after 72 days? (a) Friday (b) Thursday (c) Wednesday (d) Saturday
10. 10.Which fraction is greater: 10/11 or 1/3? (a) 1/3 (b) They are equal (c) 10/11
11. 11.Which fraction is greater: 1/5 or 1/3? (a) 1/5 (b) 1/3 (c) They are equal
12. 12.If 7 May is a Saturday, what day of the week is 17 May? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
13. 13.If 13 January is a Monday, what day of the week is 7 February? (a) Saturday (b) Thursday (c) Sunday (d) Friday
14. 14.What is 30% of 560? (a) 336 (b) 168 (c) 1680 (d) 392
15. 15.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 42 (b) 24 (c) 25 (d) 87
16. 16.Every pair follows the same rule: 3 : 13, 4 : 20, 8 : 68. What is 2 : ? (a) 7 (b) 12 (c) 9 (d) 8
17. 17.Every pair follows the same rule: 2 : 8, 6 : 40, 7 : 53. What is 3 : ? (a) 9 (b) 1 (c) 12 (d) 13
18. 18.Every pair follows the same rule: 3 : 8, 4 : 15, 6 : 35. What is 8 : ? (a) 64 (b) 55 (c) 13 (d) 63
19. 19.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 15 cm (b) 50 cm (c) 25 cm (d) 30 cm
20. 20.2/3 + 5/6 = ? (a) 3/2 (b) 4/3 (c) 5/3 (d) 7/9
21. 21.6 workers can build a wall in 5 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 9 days (c) 4 days (d) 1 day
22. 22.1/4 + 4/5 = ? (a) 21/20 (b) 1 (c) 11/10 (d) 5/9
23. 23.What is the value of the digit 7 in 13.427? (a) 0.07 (b) 0.7 (c) 7 (d) 0.007
24. 24.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 20 (b) 14 (c) 8 (d) 26
25. 25.1/3 + 5/7 = ? (a) 3/5 (b) 23/21 (c) 1 (d) 22/21
26. 26.What is the smallest number you must add to 269 to make it divisible by 6? (a) 2 (b) 1 (c) 5 (d) 3
27. 27.Today is Thursday. What day of the week will it be after 12 days? (a) Tuesday (b) Wednesday (c) Monday (d) Thursday
28. 28.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 64 cm (c) 20 cm (d) 40 cm
29. 29.Which is the smallest: 0.235, 0.3, 0.33, 0.079? (a) 0.235 (b) 0.3 (c) 0.33 (d) 0.079
30. 30.What is 25% of 360? (a) 270 (b) 180 (c) 900 (d) 90
31. 31.Which fraction is greater: 1/3 or 3/4? (a) They are equal (b) 3/4 (c) 1/3
32. 32.What is the units digit of 2^58? (a) 2 (b) 8 (c) 6 (d) 4
33. 33.Which fraction is greater: 6/11 or 5/6? (a) 5/6 (b) 6/11 (c) They are equal
34. 34.If 2x + 6 = 36, what is x? (a) 15 (b) 21 (c) 16 (d) 30
35. 35.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 112 cm (b) 36 cm (c) 22 cm (d) 44 cm
36. 36.Which is the smallest: 0.6, 0.569, 0.68, 0.023? (a) 0.6 (b) 0.569 (c) 0.68 (d) 0.023
37. 37.In how many years will ₹3000 earn ₹720 simple interest at 6% per year? (a) 3 years (b) 5 years (c) 8 years (d) 4 years
38. 38.A shopkeeper buys a toy for ₹960 and sells it for ₹768. What is his loss percent? (a) 25% (b) 21% (c) 20% (d) 15%
39. 39.Two ribbons are 24 cm and 27 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 216 cm (c) 3 cm (d) 24 cm
40. 40.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 12 (b) 47 (c) 19 (d) 40

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