Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 167 · 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 the value of the digit 2 in 72.456? (a) 0.02 (b) 20 (c) 2 (d) 0.2
2. 2.3 workers can build a wall in 10 days. How many days will 6 workers take, working at the same speed? (a) 20 days (b) 7 days (c) 13 days (d) 5 days
3. 3.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 21 (b) 39 (c) 24 (d) 42
4. 4.If 6 notebooks cost ₹66, how much do 9 notebooks cost? (a) ₹594 (b) ₹110 (c) ₹69 (d) ₹99
5. 5.Every pair follows the same rule: 2 : 2, 6 : 34, 9 : 79. What is 5 : ? (a) 24 (b) 5 (c) 19 (d) 23
6. 6.If 7x + 10 = 31, what is x? (a) 4 (b) 3 (c) 2 (d) 21
7. 7.Which of these numbers is divisible by 9? (a) 4932 (b) 4943 (c) 4940 (d) 4926
8. 8.What is the smallest number of sweets that can be shared equally among 6 children or among 14 children, with none left over? (a) 42 (b) 84 (c) 20 (d) 43
9. 9.Today is Monday. What day of the week will it be after 21 days? (a) Tuesday (b) Monday (c) Wednesday (d) Sunday
10. 10.Which fraction is greater: 3/5 or 1/4? (a) 3/5 (b) 1/4 (c) They are equal
11. 11.What is the remainder when 175 is divided by 12? (a) 8 (b) 7 (c) 5 (d) 6
12. 12.Every pair follows the same rule: 2 : 6, 6 : 26, 7 : 31. What is 4 : ? (a) 8 (b) 12 (c) 17 (d) 16
13. 13.Which is the greatest: 0.139, 0.2, 0.018, 0.24? (a) 0.139 (b) 0.2 (c) 0.018 (d) 0.24
14. 14.Which fraction is greater: 1/11 or 2/5? (a) 1/11 (b) 2/5 (c) They are equal
15. 15.If 3 kites cost ₹54, how much do 4 kites cost? (a) ₹72 (b) ₹216 (c) ₹90 (d) ₹55
16. 16.A bag marked ₹360 is sold at a 30% discount. What is its selling price? (a) ₹468 (b) ₹252 (c) ₹330 (d) ₹108
17. 17.₹273 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹78 (b) ₹195 (c) ₹39 (d) ₹234
18. 18.Which is the smallest: 0.4, 0.41, 0.358, 0.061? (a) 0.4 (b) 0.41 (c) 0.358 (d) 0.061
19. 19.4/6 + 1/4 = ? (a) 1/2 (b) 11/12 (c) 5/6 (d) 1
20. 20.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 8 (b) 50 (c) 7 (d) 23
21. 21.What is the average of 44, 47, 66, 38 and 70? (a) 55 (b) 52 (c) 53 (d) 54
22. 22.What is 50% of 200? (a) 1000 (b) 200 (c) 101 (d) 100
23. 23.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 48 (b) 92 (c) 20 (d) 64
24. 24.Every pair follows the same rule: 2 : 4, 5 : 25, 6 : 36. What is 3 : ? (a) 9 (b) 5 (c) 3 (d) 6
25. 25.In how many years will ₹7500 earn ₹3000 simple interest at 10% per year? (a) 4 years (b) 5 years (c) 8 years (d) 3 years
26. 26.The simple interest on ₹5000 for 2 years is ₹200. What is the rate per year? (a) 4% (b) 3% (c) 1% (d) 2%
27. 27.Two ribbons are 45 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) 45 cm (c) 18 cm (d) 9 cm
28. 28.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 126 sq cm (b) 112 sq cm (c) 22 sq cm (d) 44 sq cm
29. 29.₹276 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹138 (b) ₹46 (c) ₹276 (d) ₹230
30. 30.What is the average of 81, 79, 82, 87, 72 and 43? (a) 75 (b) 73 (c) 76 (d) 74
31. 31.Which fraction is greater: 1/11 or 2/7? (a) They are equal (b) 1/11 (c) 2/7
32. 32.If x/6 + 5 = 15, what is x? (a) 10 (b) 60 (c) 120 (d) 85
33. 33.What is 3/7 of 35? (a) 15 (b) 20 (c) 5 (d) 16
34. 34.A teacher has 30 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 210 (c) 5 (d) 30
35. 35.What is the simple interest on ₹2500 at 4% per year for 2 years? (a) ₹100 (b) ₹2700 (c) ₹200 (d) ₹300
36. 36.Two ribbons are 32 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 32 cm (b) 4 cm (c) 288 cm (d) 2 cm
37. 37.Which fraction is greater: 7/10 or 2/9? (a) They are equal (b) 2/9 (c) 7/10
38. 38.Two ribbons are 9 cm and 21 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 1 cm (c) 3 cm (d) 9 cm
39. 39.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 16 cm (b) 9 cm (c) 105 cm (d) 8 cm
40. 40.What is the value of the digit 4 in 62.487? (a) 4 (b) 0.04 (c) 0.4 (d) 0.004

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