Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 665 · 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 shopkeeper buys a toy for ₹800 and sells it for ₹760. What is his loss percent? (a) 6% (b) 5% (c) 40% (d) 10%
2. 2.₹374 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹102 (b) ₹272 (c) ₹187 (d) ₹34
3. 3.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 40 (b) 93 (c) 63 (d) 58
4. 4.What is 1/2 of 12? (a) 6 (b) 7 (c) 5 (d) 12
5. 5.If 28 November is a Tuesday, what day of the week is 12 December? (a) Monday (b) Tuesday (c) Thursday (d) Wednesday
6. 6.Which fraction is greater: 2/7 or 1/6? (a) 1/6 (b) They are equal (c) 2/7
7. 7.₹54 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹6 (b) ₹54 (c) ₹27 (d) ₹48
8. 8.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 171 sq cm (b) 28 sq cm (c) 56 sq cm (d) 190 sq cm
9. 9.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 35 (c) 10 (d) 29
10. 10.If 5x − 20 = 50, what is x? (a) 15 (b) 14 (c) 70 (d) 6
11. 11.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 49 sq cm (d) 12 sq cm
12. 12.What is 20% of 80? (a) 16 (b) 160 (c) 64 (d) 32
13. 13.The simple interest on ₹10000 for 2 years is ₹400. What is the rate per year? (a) 2% (b) 3% (c) 1% (d) 4%
14. 14.What is the average of all the whole numbers from 20 to 60? (a) 41 (b) 20 (c) 40 (d) 39
15. 15.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 13 cm (c) 26 cm (d) 30 cm
16. 16.Today is Monday. What day of the week will it be after 100 days? (a) Wednesday (b) Thursday (c) Friday (d) Tuesday
17. 17.Every pair follows the same rule: 2 : 14, 4 : 22, 6 : 30. What is 5 : ? (a) 35 (b) 26 (c) 17 (d) 27
18. 18.Every pair follows the same rule: 3 : 6, 4 : 8, 8 : 16. What is 7 : ? (a) 10 (b) 13 (c) 14 (d) 15
19. 19.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 152 sq cm (b) 54 sq cm (c) 27 sq cm (d) 171 sq cm
20. 20.Which fraction is greater: 4/5 or 5/12? (a) 5/12 (b) They are equal (c) 4/5
21. 21.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 70 min (b) 5 min (c) 350 min (d) 45 min
22. 22.If 6 kites cost ₹18, how much do 10 kites cost? (a) ₹33 (b) ₹180 (c) ₹22 (d) ₹30
23. 23.What is the average of all the whole numbers from 24 to 50? (a) 37 (b) 38 (c) 13 (d) 26
24. 24.A bag marked ₹820 is sold at a 10% discount. What is its selling price? (a) ₹82 (b) ₹810 (c) ₹902 (d) ₹738
25. 25.In how many years will ₹7500 earn ₹1350 simple interest at 9% per year? (a) 1 year (b) 3 years (c) 2 years (d) 4 years
26. 26.What is the average of 61, 53, 59 and 91? (a) 88 (b) 67 (c) 65 (d) 66
27. 27.If 6x − 11 = 19, what is x? (a) 30 (b) 6 (c) 4 (d) 5
28. 28.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) 22 min (b) 112 min (c) 2 min (d) 56 min
29. 29.A shopkeeper buys a toy for ₹480 and sells it for ₹360. What is his loss percent? (a) 26% (b) 25% (c) 20% (d) 30%
30. 30.If 11 May is a Wednesday, what day of the week is 26 May? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
31. 31.What is 2/3 of 24? (a) 17 (b) 24 (c) 16 (d) 8
32. 32.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 54 sq cm (c) 45 sq cm (d) 28 sq cm
33. 33.9.13 + 5.1 = ? (a) 14.13 (b) 14.23 (c) 9.64 (d) 14.33
34. 34.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 144 sq cm (d) 48 sq cm
35. 35.If 1 January is a Thursday, what day of the week is 10 January? (a) Friday (b) Monday (c) Sunday (d) Saturday
36. 36.If 29 September is a Monday, what day of the week is 7 October? (a) Tuesday (b) Monday (c) Thursday (d) Wednesday
37. 37.If x/2 + 3 = 12, what is x? (a) 9 (b) 18 (c) 21 (d) 30
38. 38.What is the remainder when 185 is divided by 8? (a) 7 (b) 0 (c) 2 (d) 1
39. 39.What is the remainder when 62 is divided by 4? (a) 2 (b) 0 (c) 3 (d) 1
40. 40.5 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 16 days (b) 10 days (c) 11 days (d) 12 days

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