Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 274 · 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 rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 10 cm (c) 108 cm (d) 11 cm
2. 2.6/7 + 1/2 = ? (a) 9/7 (b) 19/14 (c) 7/9 (d) 10/7
3. 3.Today is Monday. What day of the week will it be after 18 days? (a) Sunday (b) Friday (c) Saturday (d) Thursday
4. 4.What is 1/2 of 6? (a) 2 (b) 3 (c) 6 (d) 4
5. 5.₹7500 is invested at 9% per year simple interest. What is the amount after 4 years? (a) ₹10875 (b) ₹2700 (c) ₹8175 (d) ₹10200
6. 6.What is the units digit of 4^20? (a) 7 (b) 5 (c) 4 (d) 6
7. 7.If x/3 + 4 = 16, what is x? (a) 36 (b) 44 (c) 12 (d) 60
8. 8.What is the remainder when 84 is divided by 5? (a) 2 (b) 4 (c) 1 (d) 3
9. 9.Two ribbons are 70 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) 70 cm (b) 10 cm (c) 5 cm (d) 560 cm
10. 10.Every pair follows the same rule: 2 : 10, 5 : 25, 6 : 30. What is 4 : ? (a) 21 (b) 20 (c) 12 (d) 19
11. 11.If 1 October is a Saturday, what day of the week is 15 October? (a) Saturday (b) Monday (c) Friday (d) Sunday
12. 12.Which fraction is greater: 1/10 or 2/7? (a) They are equal (b) 1/10 (c) 2/7
13. 13.What is 1/3 of 9? (a) 6 (b) 3 (c) 4 (d) 2
14. 14.If 7x + 2 = 5x + 20, what is x? (a) 10 (b) 8 (c) 11 (d) 9
15. 15.Which fraction is greater: 5/6 or 2/7? (a) They are equal (b) 5/6 (c) 2/7
16. 16.What is the value of the digit 1 in 49.186? (a) 0.01 (b) 0.1 (c) 0.001 (d) 1
17. 17.What is the remainder when 147 is divided by 12? (a) 2 (b) 3 (c) 9 (d) 4
18. 18.4 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 9 days (b) 17 days (c) 8 days (d) 11 days
19. 19.Two ribbons are 27 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 9 cm (c) 36 cm (d) 27 cm
20. 20.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 16 (b) 45 (c) 62 (d) 33
21. 21.A shopkeeper buys a toy for ₹840 and sells it for ₹714. What is his loss percent? (a) 20% (b) 10% (c) 15% (d) 16%
22. 22.Which fraction is greater: 1/3 or 9/10? (a) 1/3 (b) They are equal (c) 9/10
23. 23.If 2x − 3 = 1, what is x? (a) 4 (b) 3 (c) 1 (d) 2
24. 24.Which of these numbers is divisible by 8? (a) 3889 (b) 3888 (c) 3902 (d) 3882
25. 25.Which of these numbers is divisible by 9? (a) 7071 (b) 7074 (c) 7085 (d) 7078
26. 26.What is the smallest number you must add to 248 to make it divisible by 11? (a) 4 (b) 7 (c) 6 (d) 5
27. 27.9.13 + 9.6 = ? (a) 18.73 (b) 18.83 (c) 18.63 (d) 10.09
28. 28.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 117 cm (c) 20 cm (d) 10 cm
29. 29.What is the smallest number you must add to 185 to make it divisible by 8? (a) 6 (b) 1 (c) 5 (d) 7
30. 30.What is the remainder when 324 is divided by 7? (a) 3 (b) 1 (c) 5 (d) 2
31. 31.Which fraction is greater: 3/5 or 5/7? (a) 3/5 (b) They are equal (c) 5/7
32. 32.A shopkeeper buys a toy for ₹140 and sells it for ₹105. What is his loss percent? (a) 25% (b) 35% (c) 20% (d) 30%
33. 33.Every pair follows the same rule: 3 : 15, 5 : 19, 9 : 27. What is 7 : ? (a) 19 (b) 35 (c) 24 (d) 23
34. 34.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 27 cm (c) 54 cm (d) 152 cm
35. 35.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 16 (b) 50 (c) 38 (d) 42
36. 36.Today is Wednesday. What day of the week will it be after 92 days? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
37. 37.If 8 mangoes cost ₹24, how much do 12 mangoes cost? (a) ₹288 (b) ₹36 (c) ₹39 (d) ₹28
38. 38.Which fraction is greater: 10/11 or 2/5? (a) They are equal (b) 2/5 (c) 10/11
39. 39.What is the smallest number of sweets that can be shared equally among 6 children or among 15 children, with none left over? (a) 60 (b) 30 (c) 21 (d) 90
40. 40.Every pair follows the same rule: 4 : 7, 5 : 8, 6 : 9. What is 2 : ? (a) 5 (b) 6 (c) 7 (d) 4

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