Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 77 · 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.Which of these numbers is divisible by 8? (a) 6648 (b) 6651 (c) 6657 (d) 6645
2. 2.Two bells ring every 6 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 20 min (c) 42 min (d) 84 min
3. 3.If 2 July is a Tuesday, what day of the week is 14 July? (a) Sunday (b) Monday (c) Tuesday (d) Saturday
4. 4.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 13 (b) 10 (c) 24 (d) 12
5. 5.8 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 21 days (b) 19 days (c) 11 days (d) 20 days
6. 6.If 2 pens cost ₹30, how much do 3 pens cost? (a) ₹90 (b) ₹31 (c) ₹60 (d) ₹45
7. 7.Today is Friday. What day of the week will it be after 65 days? (a) Saturday (b) Tuesday (c) Monday (d) Sunday
8. 8.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 85 cm
9. 9.Two ribbons are 20 cm and 50 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) 30 cm (c) 5 cm (d) 20 cm
10. 10.What is the average of all the whole numbers from 59 to 83? (a) 24 (b) 12 (c) 72 (d) 71
11. 11.What is the value of the digit 1 in 36.125? (a) 0.1 (b) 1 (c) 0.001 (d) 0.01
12. 12.Today is Friday. What day of the week will it be after 29 days? (a) Sunday (b) Friday (c) Monday (d) Saturday
13. 13.1/6 + 3/4 = ? (a) 11/12 (b) 5/6 (c) 1 (d) 2/5
14. 14.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 14 cm (b) 48 cm (c) 7 cm (d) 8 cm
15. 15.Every pair follows the same rule: 2 : 13, 4 : 17, 7 : 23. What is 6 : ? (a) 21 (b) 17 (c) 22 (d) 20
16. 16.What is 25% of 380? (a) 285 (b) 95 (c) 950 (d) 190
17. 17.Every pair follows the same rule: 3 : 21, 5 : 35, 6 : 42. What is 9 : ? (a) 64 (b) 27 (c) 62 (d) 63
18. 18.What is 2/9 of 45? (a) 5 (b) 10 (c) 35 (d) 15
19. 19.Which fraction is greater: 3/4 or 1/6? (a) 1/6 (b) They are equal (c) 3/4
20. 20.A shopkeeper buys a toy for ₹380 and sells it for ₹475. What is his profit percent? (a) 20% (b) 95% (c) 30% (d) 25%
21. 21.What is 1/2 of 20? (a) 10 (b) 20 (c) 11 (d) 9
22. 22.Which fraction is greater: 7/9 or 8/11? (a) 7/9 (b) They are equal (c) 8/11
23. 23.Two ribbons are 22 cm and 33 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 11 cm (c) 66 cm (d) 22 cm
24. 24.Which fraction is greater: 3/4 or 2/7? (a) 2/7 (b) They are equal (c) 3/4
25. 25.Which is the greatest: 0.2, 0.27, 0.138, 0.019? (a) 0.2 (b) 0.27 (c) 0.138 (d) 0.019
26. 26.8.31 + 1.8 = ? (a) 10.01 (b) 10.11 (c) 8.49 (d) 10.21
27. 27.If 1 October is a Thursday, what day of the week is 11 October? (a) Sunday (b) Tuesday (c) Monday (d) Saturday
28. 28.Which is the greatest: 0.38, 0.3, 0.025, 0.238? (a) 0.38 (b) 0.3 (c) 0.025 (d) 0.238
29. 29.₹7500 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹8850 (b) ₹8175 (c) ₹9525 (d) ₹1350
30. 30.What is the smallest number you must add to 191 to make it divisible by 7? (a) 4 (b) 2 (c) 6 (d) 5
31. 31.What is the value of the digit 7 in 24.376? (a) 0.007 (b) 0.7 (c) 7 (d) 0.07
32. 32.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 13 cm (c) 12 cm (d) 24 cm
33. 33.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 34 (b) 46 (c) 28 (d) 24
34. 34.A bag marked ₹1940 is sold at a 30% discount. What is its selling price? (a) ₹1910 (b) ₹1358 (c) ₹582 (d) ₹2522
35. 35.What is the remainder when 269 is divided by 10? (a) 7 (b) 1 (c) 8 (d) 9
36. 36.Two ribbons are 6 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) 15 cm (b) 1 cm (c) 6 cm (d) 3 cm
37. 37.Every pair follows the same rule: 4 : 14, 6 : 34, 7 : 47. What is 8 : ? (a) 60 (b) 63 (c) 18 (d) 62
38. 38.If 4 notebooks cost ₹80, how much do 2 notebooks cost? (a) ₹40 (b) ₹60 (c) ₹160 (d) ₹78
39. 39.What is the value of the digit 5 in 76.352? (a) 0.005 (b) 5 (c) 0.05 (d) 0.5
40. 40.If 8x − 7 = 9, what is x? (a) 1 (b) 3 (c) 2 (d) 16

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