Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 383 · 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.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 119 cm
2. 2.If 3x + 17 = x + 19, what is x? (a) 3 (b) 1 (c) 2 (d) 18
3. 3.What is 30% of 520? (a) 312 (b) 364 (c) 1560 (d) 156
4. 4.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 44 sq cm (d) 121 sq cm
5. 5.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 77 (b) 61 (c) 59 (d) 20
6. 6.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq cm
7. 7.1.91 + 8.6 = ? (a) 10.51 (b) 10.61 (c) 2.77 (d) 10.41
8. 8.A shopkeeper buys a toy for ₹300 and sells it for ₹375. What is his profit percent? (a) 30% (b) 20% (c) 25% (d) 75%
9. 9.What is the average of 72, 73, 60 and 63? (a) 69 (b) 66 (c) 68 (d) 67
10. 10.What is the units digit of 2^38? (a) 4 (b) 8 (c) 2 (d) 6
11. 11.Every pair follows the same rule: 3 : 6, 7 : 10, 8 : 11. What is 5 : ? (a) 10 (b) 7 (c) 8 (d) 9
12. 12.What is the simple interest on ₹4500 at 8% per year for 3 years? (a) ₹1440 (b) ₹5580 (c) ₹360 (d) ₹1080
13. 13.What is 40% of 120? (a) 96 (b) 48 (c) 480 (d) 72
14. 14.Which of these numbers is divisible by 3? (a) 1756 (b) 1759 (c) 1754 (d) 1755
15. 15.1/3 + 1/2 = ? (a) 5/6 (b) 2/5 (c) 2/3 (d) 1
16. 16.2/7 + 1/2 = ? (a) 5/7 (b) 11/14 (c) 1/3 (d) 6/7
17. 17.Two bells ring every 12 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 84 min (b) 33 min (c) 252 min (d) 3 min
18. 18.4.43 + 8.2 = ? (a) 12.53 (b) 12.63 (c) 5.25 (d) 12.73
19. 19.What is 50% of 940? (a) 940 (b) 4700 (c) 470 (d) 471
20. 20.Which is the smallest: 0.496, 0.014, 0.5, 0.54? (a) 0.496 (b) 0.014 (c) 0.5 (d) 0.54
21. 21.Which is the smallest: 0.451, 0.099, 0.53, 0.5? (a) 0.451 (b) 0.099 (c) 0.53 (d) 0.5
22. 22.What is the remainder when 933 is divided by 12? (a) 9 (b) 3 (c) 10 (d) 8
23. 23.If 12 November is a Sunday, what day of the week is 18 December? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
24. 24.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 144 sq cm (d) 24 sq cm
25. 25.What is the simple interest on ₹2000 at 3% per year for 3 years? (a) ₹2180 (b) ₹240 (c) ₹60 (d) ₹180
26. 26.Every pair follows the same rule: 2 : 16, 6 : 20, 9 : 23. What is 4 : ? (a) 17 (b) 18 (c) 19 (d) 32
27. 27.What is the average of all the whole numbers from 10 to 42? (a) 27 (b) 32 (c) 16 (d) 26
28. 28.Which of these numbers is divisible by 6? (a) 750 (b) 753 (c) 745 (d) 760
29. 29.Every pair follows the same rule: 2 : 12, 7 : 27, 9 : 33. What is 4 : ? (a) 19 (b) 24 (c) 14 (d) 18
30. 30.If x/2 + 3 = 5, what is x? (a) 2 (b) 7 (c) 16 (d) 4
31. 31.Today is Thursday. What day of the week will it be after 30 days? (a) Monday (b) Saturday (c) Sunday (d) Friday
32. 32.Which is the greatest: 0.81, 0.8, 0.071, 0.714? (a) 0.81 (b) 0.8 (c) 0.071 (d) 0.714
33. 33.The simple interest on ₹4000 for 5 years is ₹400. What is the rate per year? (a) 10% (b) 3% (c) 1% (d) 2%
34. 34.What is the smallest number of sweets that can be shared equally among 18 children or among 30 children, with none left over? (a) 90 (b) 48 (c) 180 (d) 540
35. 35.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 43? (a) 28 (b) 67 (c) 43 (d) 47
36. 36.7 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 9 days (c) 19 days (d) 49 days
37. 37.Every pair follows the same rule: 3 : 27, 4 : 64, 6 : 216. What is 1 : ? (a) 9 (b) 25 (c) 2 (d) 1
38. 38.3/9 + 2/6 = ? (a) 11/18 (b) 1/3 (c) 2/3 (d) 13/18
39. 39.Which fraction is greater: 1/3 or 3/8? (a) 3/8 (b) 1/3 (c) They are equal
40. 40.What is the remainder when 233 is divided by 4? (a) 2 (b) 1 (c) 0 (d) 3

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