Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 338 · 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 is the greatest: 0.4, 0.45, 0.348, 0.026? (a) 0.4 (b) 0.45 (c) 0.348 (d) 0.026
2. 2.Every pair follows the same rule: 3 : 9, 4 : 12, 5 : 15. What is 7 : ? (a) 13 (b) 21 (c) 20 (d) 22
3. 3.If 8 kites cost ₹104, how much do 2 kites cost? (a) ₹208 (b) ₹26 (c) ₹98 (d) ₹39
4. 4.If 7x + 24 = 45, what is x? (a) 4 (b) 2 (c) 3 (d) 21
5. 5.If 6 December is a Tuesday, what day of the week is 16 December? (a) Thursday (b) Friday (c) Saturday (d) Sunday
6. 6.The simple interest on ₹1000 for 2 years is ₹180. What is the rate per year? (a) 9% (b) 8% (c) 10% (d) 18%
7. 7.What is the remainder when 242 is divided by 5? (a) 1 (b) 3 (c) 2 (d) 4
8. 8.If 3 July is a Thursday, what day of the week is 11 July? (a) Thursday (b) Sunday (c) Saturday (d) Friday
9. 9.A bag marked ₹1320 is sold at a 50% discount. What is its selling price? (a) ₹1980 (b) ₹1270 (c) ₹660 (d) ₹661
10. 10.If 8x + 2 = 26, what is x? (a) 4 (b) 3 (c) 24 (d) 2
11. 11.3/4 + 4/8 = ? (a) 7/12 (b) 5/4 (c) 9/8 (d) 11/8
12. 12.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 42 cm (c) 8 cm (d) 5 cm
13. 13.₹312 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹96 (b) ₹24 (c) ₹216 (d) ₹156
14. 14.What is 5/9 of 27? (a) 3 (b) 18 (c) 12 (d) 15
15. 15.If 8 August is a Saturday, what day of the week is 20 August? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
16. 16.What is the units digit of 2^15? (a) 4 (b) 6 (c) 8 (d) 2
17. 17.Every pair follows the same rule: 2 : 8, 3 : 13, 5 : 29. What is 7 : ? (a) 13 (b) 53 (c) 28 (d) 45
18. 18.If 8 July is a Thursday, what day of the week is 18 July? (a) Saturday (b) Tuesday (c) Monday (d) Sunday
19. 19.Which is the greatest: 0.87, 0.8, 0.779, 0.017? (a) 0.87 (b) 0.8 (c) 0.779 (d) 0.017
20. 20.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 45 min (c) 24 min (d) 135 min
21. 21.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 40 cm (c) 26 cm (d) 21 cm
22. 22.₹95 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹95 (b) ₹77 (c) ₹19 (d) ₹76
23. 23.A teacher has 10 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 25 (b) 5 (c) 1 (d) 10
24. 24.If 9 mangoes cost ₹99, how much do 7 mangoes cost? (a) ₹88 (b) ₹693 (c) ₹97 (d) ₹77
25. 25.₹240 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹120 (b) ₹150 (c) ₹30 (d) ₹90
26. 26.A teacher has 50 pencils and 90 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 50 (b) 40 (c) 5 (d) 10
27. 27.A shopkeeper buys a toy for ₹260 and sells it for ₹273. What is his profit percent? (a) 10% (b) 5% (c) 13% (d) 6%
28. 28.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 500 min (b) 100 min (c) 5 min (d) 45 min
29. 29.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 32 (b) 31 (c) 92 (d) 45
30. 30.2/4 + 1/2 = ? (a) 3/4 (b) 1/2 (c) 5/4 (d) 1
31. 31.Today is Sunday. What day of the week will it be after 35 days? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
32. 32.Every pair follows the same rule: 2 : 8, 3 : 27, 4 : 64. What is 1 : ? (a) 1 (b) 4 (c) 7 (d) 2
33. 33.What is the smallest number of sweets that can be shared equally among 16 children or among 20 children, with none left over? (a) 80 (b) 36 (c) 160 (d) 320
34. 34.What is the units digit of 4^23? (a) 4 (b) 5 (c) 6 (d) 3
35. 35.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 44 sq cm (b) 96 sq cm (c) 22 sq cm (d) 112 sq cm
36. 36.A batter has an average of 44 runs in 6 matches. How many runs are needed in the next match to raise the average to 50? (a) 56 (b) 42 (c) 86 (d) 50
37. 37.If 4 July is a Wednesday, what day of the week is 16 July? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
38. 38.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 10 (b) 12 (c) 13 (d) 24
39. 39.1/5 + 1/4 = ? (a) 1/2 (b) 2/5 (c) 2/9 (d) 9/20
40. 40.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 15 (b) 37 (c) 40 (d) 49

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