Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 547 · 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 average of 62, 50, 52 and 84? (a) 64 (b) 63 (c) 62 (d) 61
2. 2.What is the remainder when 80 is divided by 3? (a) 0 (b) 2 (c) 1
3. 3.8.22 + 7.6 = ? (a) 8.98 (b) 15.92 (c) 15.72 (d) 15.82
4. 4.Two bells ring every 8 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 80 min (c) 18 min (d) 40 min
5. 5.What is 5% of 620? (a) 310 (b) 62 (c) 589 (d) 31
6. 6.If 2 August is a Wednesday, what day of the week is 11 August? (a) Thursday (b) Saturday (c) Friday (d) Sunday
7. 7.What is the value of the digit 9 in 59.472? (a) 9 (b) 90 (c) 0.9 (d) 0.09
8. 8.9 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 10 days (b) 13 days (c) 9 days (d) 8 days
9. 9.Which fraction is greater: 5/6 or 7/9? (a) They are equal (b) 5/6 (c) 7/9
10. 10.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 187 sq cm (d) 170 sq cm
11. 11.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 25 sq cm (b) 150 sq cm (c) 165 sq cm (d) 50 sq cm
12. 12.₹2500 is invested at 3% per year simple interest. What is the amount after 3 years? (a) ₹225 (b) ₹2800 (c) ₹2725 (d) ₹2575
13. 13.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 19 cm (c) 24 cm (d) 35 cm
14. 14.What is the remainder when 466 is divided by 7? (a) 3 (b) 4 (c) 6 (d) 5
15. 15.Every pair follows the same rule: 2 : 9, 6 : 29, 7 : 34. What is 9 : ? (a) 44 (b) 43 (c) 16 (d) 45
16. 16.Today is Tuesday. What day of the week will it be after 42 days? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
17. 17.Every pair follows the same rule: 2 : 8, 3 : 27, 5 : 125. What is 6 : ? (a) 24 (b) 12 (c) 174 (d) 216
18. 18.Which is the greatest: 0.4, 0.44, 0.365, 0.075? (a) 0.4 (b) 0.44 (c) 0.365 (d) 0.075
19. 19.If 6x + 17 = 71, what is x? (a) 9 (b) 10 (c) 54 (d) 8
20. 20.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 49 sq cm (d) 28 sq cm
21. 21.If 31 August is a Wednesday, what day of the week is 15 September? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
22. 22.3.19 + 3.1 = ? (a) 6.19 (b) 6.29 (c) 6.39 (d) 3.5
23. 23.Which is the smallest: 0.078, 0.56, 0.5, 0.451? (a) 0.078 (b) 0.56 (c) 0.5 (d) 0.451
24. 24.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
25. 25.2/3 + 5/7 = ? (a) 10/7 (b) 29/21 (c) 7/10 (d) 4/3
26. 26.If 13 November is a Friday, what day of the week is 7 December? (a) Tuesday (b) Wednesday (c) Sunday (d) Monday
27. 27.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 170 cm (b) 11 cm (c) 22 cm (d) 12 cm
28. 28.What is 1/2 of 16? (a) 9 (b) 7 (c) 16 (d) 8
29. 29.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 21 sq cm (b) 96 sq cm (c) 42 sq cm (d) 80 sq cm
30. 30.If 6x + 16 = 3x + 22, what is x? (a) 1 (b) 3 (c) 4 (d) 2
31. 31.What is the smallest number of sweets that can be shared equally among 12 children or among 30 children, with none left over? (a) 42 (b) 360 (c) 120 (d) 60
32. 32.What is the value of the digit 5 in 75.864? (a) 50 (b) 0.5 (c) 0.05 (d) 5
33. 33.₹3000 is invested at 8% per year simple interest. What is the amount after 5 years? (a) ₹1200 (b) ₹4200 (c) ₹4440 (d) ₹3240
34. 34.What is 20% of 720? (a) 288 (b) 144 (c) 576 (d) 1440
35. 35.₹1000 is invested at 10% per year simple interest. What is the amount after 4 years? (a) ₹400 (b) ₹1400 (c) ₹1100 (d) ₹1500
36. 36.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 27 cm (b) 152 cm (c) 46 cm (d) 54 cm
37. 37.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 2 cm (c) 5 cm (d) 3 cm
38. 38.Which fraction is greater: 1/3 or 7/9? (a) 7/9 (b) 1/3 (c) They are equal
39. 39.6.42 + 1.1 = ? (a) 6.53 (b) 7.62 (c) 7.52 (d) 7.42
40. 40.If 6x + 7 = 91, what is x? (a) 84 (b) 14 (c) 15 (d) 13

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