Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 934 · 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 6 sq cm and a length of 3 cm. What is its width? (a) 1 cm (b) 2 cm (c) 3 cm (d) 4 cm
2. 2.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 8 cm (c) 72 cm (d) 14 cm
3. 3.What is the simple interest on ₹7500 at 9% per year for 2 years? (a) ₹1350 (b) ₹675 (c) ₹8850 (d) ₹2025
4. 4.If 5x + 30 = 50, what is x? (a) 20 (b) 5 (c) 4 (d) 16
5. 5.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 61? (a) 66 (b) 91 (c) 35 (d) 61
6. 6.If 2x − 17 = 3, what is x? (a) 9 (b) 11 (c) 20 (d) 10
7. 7.Today is Wednesday. What day of the week will it be after 88 days? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
8. 8.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 112 min (b) 56 min (c) 22 min (d) 2 min
9. 9.A shopkeeper buys a toy for ₹980 and sells it for ₹784. What is his loss percent? (a) 25% (b) 20% (c) 21% (d) 15%
10. 10.What is 5% of 440? (a) 418 (b) 220 (c) 22 (d) 44
11. 11.Which is the greatest: 0.685, 0.084, 0.7, 0.75? (a) 0.685 (b) 0.084 (c) 0.7 (d) 0.75
12. 12.If 6 December is a Thursday, what day of the week is 21 December? (a) Saturday (b) Sunday (c) Thursday (d) Friday
13. 13.If 8x + 26 = 50, what is x? (a) 24 (b) 3 (c) 4 (d) 2
14. 14.What is the average of 69, 60, 55 and 40? (a) 58 (b) 57 (c) 56 (d) 55
15. 15.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 22 cm (b) 34 cm (c) 44 cm (d) 120 cm
16. 16.What is the value of the digit 7 in 28.917? (a) 7 (b) 0.7 (c) 0.07 (d) 0.007
17. 17.What is 3/5 of 40? (a) 32 (b) 8 (c) 24 (d) 16
18. 18.What is the simple interest on ₹2500 at 10% per year for 5 years? (a) ₹250 (b) ₹1250 (c) ₹3750 (d) ₹1500
19. 19.Every pair follows the same rule: 6 : 18, 8 : 24, 9 : 27. What is 3 : ? (a) 10 (b) 15 (c) 9 (d) 8
20. 20.₹1500 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹1590 (b) ₹1530 (c) ₹90 (d) ₹1620
21. 21.If x/6 + 14 = 21, what is x? (a) 210 (b) 112 (c) 7 (d) 42
22. 22.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 6 (b) 40 (c) 5 (d) 19
23. 23.A teacher has 33 pencils and 88 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 33 (b) 11 (c) 1 (d) 55
24. 24.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 42 (c) 37 (d) 67
25. 25.Which is the greatest: 0.27, 0.2, 0.139, 0.064? (a) 0.27 (b) 0.2 (c) 0.139 (d) 0.064
26. 26.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 30 (b) 150 (c) 60 (d) 25
27. 27.If 6x + 5 = 77, what is x? (a) 11 (b) 12 (c) 72 (d) 13
28. 28.What is the smallest number of sweets that can be shared equally among 4 children or among 10 children, with none left over? (a) 14 (b) 40 (c) 21 (d) 20
29. 29.Every pair follows the same rule: 2 : 8, 6 : 40, 7 : 53. What is 3 : ? (a) 13 (b) 12 (c) 9 (d) 1
30. 30.Two bells ring every 12 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 40 min (b) 4 min (c) 84 min (d) 336 min
31. 31.Which fraction is greater: 2/7 or 1/3? (a) 2/7 (b) They are equal (c) 1/3
32. 32.Every pair follows the same rule: 5 : 15, 7 : 21, 9 : 27. What is 8 : ? (a) 23 (b) 24 (c) 25 (d) 18
33. 33.Every pair follows the same rule: 3 : 8, 4 : 15, 9 : 80. What is 8 : ? (a) 64 (b) 67 (c) 13 (d) 63
34. 34.Which fraction is greater: 1/10 or 5/9? (a) They are equal (b) 1/10 (c) 5/9
35. 35.6.34 + 2.7 = ? (a) 9.04 (b) 9.14 (c) 6.61 (d) 8.94
36. 36.If 7x + 27 = 118, what is x? (a) 91 (b) 14 (c) 12 (d) 13
37. 37.₹9000 is invested at 12% per year simple interest. What is the amount after 2 years? (a) ₹10080 (b) ₹11160 (c) ₹12240 (d) ₹2160
38. 38.Every pair follows the same rule: 1 : 1, 3 : 27, 4 : 64. What is 2 : ? (a) 2 (b) 9 (c) 8 (d) 7
39. 39.If x/4 + 9 = 17, what is x? (a) 59 (b) 8 (c) 104 (d) 32
40. 40.What is the value of the digit 1 in 27.138? (a) 1 (b) 0.01 (c) 0.1 (d) 0.001

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