Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 912 · 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: 3 : 27, 4 : 36, 9 : 81. What is 2 : ? (a) 19 (b) 26 (c) 18 (d) 17
2. 2.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 33 sq cm (d) 22 sq cm
3. 3.Which is the smallest: 0.3, 0.032, 0.32, 0.216? (a) 0.3 (b) 0.032 (c) 0.32 (d) 0.216
4. 4.What is the smallest number you must add to 312 to make it divisible by 11? (a) 4 (b) 7 (c) 6 (d) 8
5. 5.What is the average of all the whole numbers from 23 to 29? (a) 3 (b) 6 (c) 27 (d) 26
6. 6.Which is the smallest: 0.5, 0.013, 0.51, 0.416? (a) 0.5 (b) 0.013 (c) 0.51 (d) 0.416
7. 7.8.51 + 5.5 = ? (a) 13.91 (b) 14.11 (c) 14.01 (d) 9.06
8. 8.8 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 8 days (b) 7 days (c) 14 days (d) 9 days
9. 9.If 7 notebooks cost ₹168, how much do 5 notebooks cost? (a) ₹120 (b) ₹166 (c) ₹144 (d) ₹840
10. 10.Every pair follows the same rule: 2 : 11, 3 : 13, 9 : 25. What is 5 : ? (a) 14 (b) 18 (c) 16 (d) 17
11. 11.If 8 kites cost ₹200, how much do 9 kites cost? (a) ₹1800 (b) ₹225 (c) ₹250 (d) ₹201
12. 12.If x/4 + 12 = 24, what is x? (a) 144 (b) 84 (c) 48 (d) 12
13. 13.Every pair follows the same rule: 3 : 6, 4 : 10, 7 : 22. What is 6 : ? (a) 9 (b) 19 (c) 18 (d) 12
14. 14.5.11 + 7.2 = ? (a) 5.83 (b) 12.41 (c) 12.21 (d) 12.31
15. 15.If 14 March is a Tuesday, what day of the week is 20 April? (a) Thursday (b) Friday (c) Wednesday (d) Saturday
16. 16.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 12 (b) 69 (c) 61 (d) 59
17. 17.If 4 January is a Friday, what day of the week is 17 January? (a) Wednesday (b) Friday (c) Thursday (d) Saturday
18. 18.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 72 (b) 47 (c) 12 (d) 37
19. 19.Every pair follows the same rule: 2 : 13, 3 : 18, 5 : 28. What is 9 : ? (a) 20 (b) 47 (c) 48 (d) 49
20. 20.Which is the smallest: 0.61, 0.064, 0.574, 0.6? (a) 0.61 (b) 0.064 (c) 0.574 (d) 0.6
21. 21.What is 75% of 260? (a) 65 (b) 1950 (c) 195 (d) 390
22. 22.A batter has an average of 51 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 57 (b) 81 (c) 54 (d) 30
23. 23.What is the units digit of 4^37? (a) 5 (b) 6 (c) 4 (d) 3
24. 24.Which fraction is greater: 1/7 or 1/6? (a) 1/6 (b) 1/7 (c) They are equal
25. 25.What is the average of 42, 41, 51 and 90? (a) 57 (b) 56 (c) 55 (d) 58
26. 26.What is the remainder when 257 is divided by 9? (a) 7 (b) 4 (c) 6 (d) 5
27. 27.A bag marked ₹400 is sold at a 10% discount. What is its selling price? (a) ₹360 (b) ₹440 (c) ₹40 (d) ₹390
28. 28.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 32 sq cm (d) 48 sq cm
29. 29.Which of these numbers is divisible by 9? (a) 1937 (b) 1923 (c) 1931 (d) 1926
30. 30.What is the simple interest on ₹1500 at 11% per year for 2 years? (a) ₹1830 (b) ₹330 (c) ₹495 (d) ₹165
31. 31.Which fraction is greater: 7/12 or 5/8? (a) 7/12 (b) They are equal (c) 5/8
32. 32.What is 1/9 of 90? (a) 11 (b) 20 (c) 10 (d) 80
33. 33.What is the average of all the whole numbers from 21 to 33? (a) 27 (b) 6 (c) 12 (d) 28
34. 34.If 7 January is a Saturday, what day of the week is 18 January? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
35. 35.Which of these numbers is divisible by 4? (a) 3534 (b) 3543 (c) 3536 (d) 3537
36. 36.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 90 cm (c) 7 cm (d) 12 cm
37. 37.What is the smallest number of sweets that can be shared equally among 18 children or among 42 children, with none left over? (a) 756 (b) 252 (c) 60 (d) 126
38. 38.Every pair follows the same rule: 4 : 13, 5 : 18, 6 : 23. What is 8 : ? (a) 32 (b) 34 (c) 33 (d) 17
39. 39.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 108 sq cm (d) 90 sq cm
40. 40.The simple interest on ₹2500 for 5 years is ₹250. What is the rate per year? (a) 1% (b) 2% (c) 10% (d) 3%

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