Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 817 · 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 93.421? (a) 0.002 (b) 0.2 (c) 0.02 (d) 2
2. 2.If 14 July is a Monday, what day of the week is 27 July? (a) Saturday (b) Sunday (c) Monday (d) Tuesday
3. 3.Which is the smallest: 0.73, 0.7, 0.668, 0.014? (a) 0.73 (b) 0.7 (c) 0.668 (d) 0.014
4. 4.Every pair follows the same rule: 2 : 4, 3 : 9, 6 : 36. What is 8 : ? (a) 16 (b) 54 (c) 64 (d) 10
5. 5.Which fraction is greater: 1/3 or 5/7? (a) 5/7 (b) They are equal (c) 1/3
6. 6.Every pair follows the same rule: 3 : 18, 6 : 36, 9 : 54. What is 8 : ? (a) 49 (b) 48 (c) 47 (d) 23
7. 7.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 45 sq cm (c) 13 sq cm (d) 26 sq cm
8. 8.If 5 mangoes cost ₹40, how much do 8 mangoes cost? (a) ₹320 (b) ₹43 (c) ₹64 (d) ₹72
9. 9.A batter has an average of 49 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 59 (b) 54 (c) 30 (d) 79
10. 10.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 30 min (c) 25 min (d) 150 min
11. 11.What is 5/9 of 99? (a) 11 (b) 55 (c) 44 (d) 66
12. 12.Every pair follows the same rule: 2 : 8, 4 : 64, 6 : 216. What is 3 : ? (a) 28 (b) 9 (c) 12 (d) 27
13. 13.If 5x + 5 = 20, what is x? (a) 4 (b) 3 (c) 5 (d) 15
14. 14.8 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 1 day (b) 17 days (c) 10 days (d) 16 days
15. 15.What is 15% of 520? (a) 780 (b) 442 (c) 156 (d) 78
16. 16.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 28 min (c) 18 min (d) 2 min
17. 17.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 169 sq cm (d) 48 sq cm
18. 18.5.49 + 9.9 = ? (a) 15.29 (b) 15.49 (c) 15.39 (d) 6.48
19. 19.If x/6 + 12 = 15, what is x? (a) 162 (b) 78 (c) 3 (d) 18
20. 20.What is the value of the digit 7 in 69.127? (a) 7 (b) 0.7 (c) 0.007 (d) 0.07
21. 21.If 12 November is a Friday, what day of the week is 1 December? (a) Tuesday (b) Wednesday (c) Thursday (d) Friday
22. 22.What is the average of all the whole numbers from 18 to 30? (a) 6 (b) 24 (c) 12 (d) 25
23. 23.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 17 sq cm (b) 81 sq cm (c) 72 sq cm (d) 34 sq cm
24. 24.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 70 (b) 91 (c) 28 (d) 35
25. 25.5 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 5 days (d) 6 days
26. 26.If 6x + 12 = 42, what is x? (a) 30 (b) 5 (c) 9 (d) 6
27. 27.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 57 cm (c) 5 cm (d) 8 cm
28. 28.Today is Tuesday. What day of the week will it be after 13 days? (a) Sunday (b) Monday (c) Tuesday (d) Wednesday
29. 29.If 29 August is a Monday, what day of the week is 10 September? (a) Friday (b) Sunday (c) Saturday (d) Monday
30. 30.Every pair follows the same rule: 3 : 9, 4 : 16, 6 : 36. What is 5 : ? (a) 26 (b) 25 (c) 11 (d) 15
31. 31.Every pair follows the same rule: 2 : 7, 3 : 10, 5 : 16. What is 8 : ? (a) 13 (b) 25 (c) 26 (d) 24
32. 32.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 24 sq cm (c) 18 sq cm (d) 9 sq cm
33. 33.A bag marked ₹1600 is sold at a 50% discount. What is its selling price? (a) ₹2400 (b) ₹801 (c) ₹800 (d) ₹1550
34. 34.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 10 cm (c) 24 cm (d) 20 cm
35. 35.Today is Thursday. What day of the week will it be after 38 days? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
36. 36.If 4 mangoes cost ₹68, how much do 7 mangoes cost? (a) ₹71 (b) ₹136 (c) ₹476 (d) ₹119
37. 37.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 20 cm (c) 10 cm (d) 11 cm
38. 38.A shopkeeper buys a toy for ₹760 and sells it for ₹798. What is his profit percent? (a) 38% (b) 6% (c) 10% (d) 5%
39. 39.What is the average of 86, 65, 67, 82 and 95? (a) 79 (b) 81 (c) 78 (d) 80
40. 40.Every pair follows the same rule: 5 : 14, 7 : 20, 9 : 26. What is 6 : ? (a) 15 (b) 16 (c) 17 (d) 18

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