Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 829 · 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.Two ribbons are 21 cm and 28 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 84 cm (b) 7 cm (c) 21 cm (d) 1 cm
2. 2.4 workers can build a wall in 4 days. How many days will 8 workers take, working at the same speed? (a) 3 days (b) 2 days (c) 1 day (d) 8 days
3. 3.What is the average of 77, 89, 75 and 59? (a) 76 (b) 74 (c) 75 (d) 100
4. 4.Two ribbons are 10 cm and 16 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 6 cm (c) 1 cm (d) 2 cm
5. 5.Which fraction is greater: 2/3 or 3/4? (a) 2/3 (b) 3/4 (c) They are equal
6. 6.What is the value of the digit 1 in 58.217? (a) 0.1 (b) 0.01 (c) 1 (d) 0.001
7. 7.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 54 cm (b) 162 cm (c) 27 cm (d) 45 cm
8. 8.Every pair follows the same rule: 3 : 10, 5 : 26, 9 : 82. What is 4 : ? (a) 18 (b) 11 (c) 17 (d) 12
9. 9.If 4 kites cost ₹52, how much do 11 kites cost? (a) ₹572 (b) ₹156 (c) ₹143 (d) ₹59
10. 10.Every pair follows the same rule: 2 : 12, 4 : 24, 6 : 36. What is 7 : ? (a) 17 (b) 43 (c) 42 (d) 41
11. 11.₹2500 is invested at 6% per year simple interest. What is the amount after 5 years? (a) ₹750 (b) ₹3250 (c) ₹3400 (d) ₹2650
12. 12.Every pair follows the same rule: 2 : 2, 4 : 14, 6 : 34. What is 3 : ? (a) 4 (b) 3 (c) 7 (d) 8
13. 13.What is the value of the digit 5 in 32.659? (a) 5 (b) 0.005 (c) 0.5 (d) 0.05
14. 14.Which is the greatest: 0.026, 0.81, 0.8, 0.774? (a) 0.026 (b) 0.81 (c) 0.8 (d) 0.774
15. 15.If 9 pens cost ₹36, how much do 11 pens cost? (a) ₹48 (b) ₹38 (c) ₹396 (d) ₹44
16. 16.If 29 March is a Saturday, what day of the week is 6 April? (a) Saturday (b) Monday (c) Tuesday (d) Sunday
17. 17.₹6500 is invested at 3% per year simple interest. What is the amount after 4 years? (a) ₹7475 (b) ₹6695 (c) ₹7280 (d) ₹780
18. 18.Which is the greatest: 0.145, 0.046, 0.2, 0.21? (a) 0.145 (b) 0.046 (c) 0.2 (d) 0.21
19. 19.If 3 May is a Monday, what day of the week is 13 May? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
20. 20.If 5x + 9 = 34, what is x? (a) 6 (b) 25 (c) 4 (d) 5
21. 21.2/3 + 1/9 = ? (a) 8/9 (b) 7/9 (c) 1/4 (d) 2/3
22. 22.1/3 + 5/9 = ? (a) 8/9 (b) 7/9 (c) 1 (d) 1/2
23. 23.6 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 11 days (b) 10 days (c) 12 days (d) 18 days
24. 24.₹3000 is invested at 6% per year simple interest. What is the amount after 3 years? (a) ₹3180 (b) ₹540 (c) ₹3720 (d) ₹3540
25. 25.If 5 December is a Thursday, what day of the week is 14 December? (a) Friday (b) Saturday (c) Monday (d) Sunday
26. 26.Which is the greatest: 0.044, 0.7, 0.75, 0.659? (a) 0.044 (b) 0.7 (c) 0.75 (d) 0.659
27. 27.What is 1/3 of 30? (a) 20 (b) 11 (c) 9 (d) 10
28. 28.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 24 cm (c) 15 cm (d) 54 cm
29. 29.3/9 + 2/6 = ? (a) 2/3 (b) 1/3 (c) 11/18 (d) 13/18
30. 30.If 14 October is a Saturday, what day of the week is 25 October? (a) Friday (b) Wednesday (c) Thursday (d) Tuesday
31. 31.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 22 min (c) 120 min (d) 60 min
32. 32.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 5 (b) 50 (c) 99 (d) 54
33. 33.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 2 cm (b) 3 cm (c) 6 cm (d) 4 cm
34. 34.₹451 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹41 (b) ₹287 (c) ₹164 (d) ₹328
35. 35.What is 2/5 of 20? (a) 12 (b) 8 (c) 4 (d) 9
36. 36.If 7x + 18 = 2x + 68, what is x? (a) 11 (b) 12 (c) 10 (d) 9
37. 37.If x/2 + 15 = 20, what is x? (a) 10 (b) 5 (c) 25 (d) 70
38. 38.What is 5/7 of 42? (a) 36 (b) 6 (c) 30 (d) 12
39. 39.Two ribbons are 21 cm and 56 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 35 cm (b) 1 cm (c) 21 cm (d) 7 cm
40. 40.If 3 notebooks cost ₹18, how much do 4 notebooks cost? (a) ₹30 (b) ₹19 (c) ₹24 (d) ₹72

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