Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 441 · 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 is 11 cm long and 6 cm wide. What is its area? (a) 17 sq cm (b) 77 sq cm (c) 34 sq cm (d) 66 sq cm
2. 2.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 22? (a) 22 (b) 28 (c) 24 (d) 8
3. 3.Every pair follows the same rule: 3 : 8, 7 : 48, 9 : 80. What is 4 : ? (a) 14 (b) 9 (c) 16 (d) 15
4. 4.What is the units digit of 4^40? (a) 7 (b) 5 (c) 6 (d) 4
5. 5.A teacher has 12 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 2 (c) 48 (d) 4
6. 6.If 7x − 12 = 86, what is x? (a) 15 (b) 13 (c) 14 (d) 98
7. 7.₹180 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹144 (b) ₹36 (c) ₹90 (d) ₹180
8. 8.What is the remainder when 80 is divided by 6? (a) 1 (b) 2 (c) 4 (d) 3
9. 9.6.55 + 7.2 = ? (a) 13.85 (b) 13.75 (c) 13.65 (d) 7.27
10. 10.If 5 August is a Monday, what day of the week is 20 August? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
11. 11.What is the units digit of 2^27? (a) 6 (b) 8 (c) 2 (d) 4
12. 12.1.81 + 7.5 = ? (a) 9.31 (b) 9.41 (c) 2.56 (d) 9.21
13. 13.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 30 (b) 80 (c) 29 (d) 39
14. 14.A teacher has 4 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 4 (c) 2 (d) 14
15. 15.What is the average of all the whole numbers from 58 to 78? (a) 68 (b) 69 (c) 20 (d) 10
16. 16.What is the remainder when 247 is divided by 12? (a) 5 (b) 7 (c) 6 (d) 8
17. 17.Every pair follows the same rule: 2 : 15, 3 : 16, 6 : 19. What is 8 : ? (a) 20 (b) 22 (c) 23 (d) 21
18. 18.₹188 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹188 (b) ₹47 (c) ₹141 (d) ₹94
19. 19.The simple interest on ₹1000 for 4 years is ₹240. What is the rate per year? (a) 7% (b) 5% (c) 6% (d) 24%
20. 20.Every pair follows the same rule: 7 : 13, 8 : 15, 9 : 17. What is 6 : ? (a) 13 (b) 10 (c) 11 (d) 12
21. 21.If 6x + 22 = 88, what is x? (a) 11 (b) 66 (c) 10 (d) 12
22. 22.Which is the greatest: 0.41, 0.312, 0.089, 0.4? (a) 0.41 (b) 0.312 (c) 0.089 (d) 0.4
23. 23.A teacher has 20 pencils and 30 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 5 (c) 60 (d) 20
24. 24.Which fraction is greater: 1/3 or 5/12? (a) They are equal (b) 1/3 (c) 5/12
25. 25.If 7x + 27 = 118, what is x? (a) 14 (b) 13 (c) 91 (d) 12
26. 26.9.69 + 2.1 = ? (a) 11.69 (b) 9.9 (c) 11.89 (d) 11.79
27. 27.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
28. 28.What is the value of the digit 9 in 24.319? (a) 0.9 (b) 0.009 (c) 9 (d) 0.09
29. 29.2.22 + 2.8 = ? (a) 4.92 (b) 5.12 (c) 5.02 (d) 2.5
30. 30.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 150 sq cm (b) 135 sq cm (c) 48 sq cm (d) 24 sq cm
31. 31.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 12 cm (c) 6 cm (d) 3 cm
32. 32.5.14 + 8.3 = ? (a) 13.44 (b) 13.54 (c) 13.34 (d) 5.97
33. 33.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 4 cm (c) 36 cm (d) 6 cm
34. 34.A shopkeeper buys a toy for ₹920 and sells it for ₹736. What is his loss percent? (a) 20% (b) 21% (c) 15% (d) 25%
35. 35.What is the simple interest on ₹9500 at 3% per year for 2 years? (a) ₹285 (b) ₹855 (c) ₹570 (d) ₹10070
36. 36.What is the simple interest on ₹10000 at 6% per year for 3 years? (a) ₹2400 (b) ₹1800 (c) ₹600 (d) ₹11800
37. 37.What is the average of 63, 91, 75 and 75? (a) 77 (b) 75 (c) 76 (d) 78
38. 38.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 111 (c) 69 (d) 54
39. 39.A bag marked ₹1100 is sold at a 20% discount. What is its selling price? (a) ₹1080 (b) ₹220 (c) ₹1320 (d) ₹880
40. 40.If 6 August is a Friday, what day of the week is 18 August? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday

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