Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 125 · 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 ₹860 and sells it for ₹1075. What is his profit percent? (a) 20% (b) 25% (c) 26% (d) 30%
2. 2.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 24 (b) 30 (c) 37 (d) 17
3. 3.Every pair follows the same rule: 3 : 12, 6 : 39, 7 : 52. What is 2 : ? (a) 6 (b) 11 (c) 8 (d) 7
4. 4.Every pair follows the same rule: 3 : 9, 5 : 15, 9 : 27. What is 8 : ? (a) 14 (b) 23 (c) 25 (d) 24
5. 5.Every pair follows the same rule: 3 : 21, 4 : 28, 5 : 35. What is 8 : ? (a) 57 (b) 26 (c) 55 (d) 56
6. 6.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 27 cm (b) 170 cm (c) 54 cm (d) 44 cm
7. 7.If 5 July is a Sunday, what day of the week is 14 July? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
8. 8.What is the units digit of 4^56? (a) 5 (b) 4 (c) 6 (d) 7
9. 9.Which fraction is greater: 1/3 or 3/4? (a) 3/4 (b) 1/3 (c) They are equal
10. 10.Every pair follows the same rule: 4 : 17, 6 : 27, 9 : 42. What is 2 : ? (a) 8 (b) 7 (c) 6 (d) 15
11. 11.3/9 + 1/3 = ? (a) 7/9 (b) 5/9 (c) 2/3 (d) 1/3
12. 12.In how many years will ₹1000 earn ₹180 simple interest at 9% per year? (a) 4 years (b) 3 years (c) 1 year (d) 2 years
13. 13.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 36 sq cm (d) 100 sq cm
14. 14.The simple interest on ₹10000 for 4 years is ₹4800. What is the rate per year? (a) 13% (b) 12% (c) 11% (d) 48%
15. 15.Every pair follows the same rule: 2 : 8, 4 : 64, 5 : 125. What is 3 : ? (a) 3 (b) 27 (c) 9 (d) 12
16. 16.Which is the greatest: 0.023, 0.2, 0.23, 0.111? (a) 0.023 (b) 0.2 (c) 0.23 (d) 0.111
17. 17.A shopkeeper buys a toy for ₹220 and sells it for ₹132. What is his loss percent? (a) 35% (b) 88% (c) 40% (d) 45%
18. 18.If x/3 + 14 = 23, what is x? (a) 27 (b) 55 (c) 9 (d) 111
19. 19.Which is the smallest: 0.633, 0.064, 0.75, 0.7? (a) 0.633 (b) 0.064 (c) 0.75 (d) 0.7
20. 20.If 8x + 10 = 2x + 34, what is x? (a) 4 (b) 6 (c) 5 (d) 3
21. 21.Every pair follows the same rule: 4 : 16, 5 : 25, 9 : 81. What is 8 : ? (a) 64 (b) 32 (c) 67 (d) 20
22. 22.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 37 (b) 79 (c) 13 (d) 12
23. 23.A bag marked ₹460 is sold at a 40% discount. What is its selling price? (a) ₹420 (b) ₹276 (c) ₹184 (d) ₹644
24. 24.What is 25% of 320? (a) 160 (b) 240 (c) 80 (d) 800
25. 25.If 3x + 11 = 26, what is x? (a) 15 (b) 5 (c) 4 (d) 6
26. 26.If 3x − 12 = 30, what is x? (a) 42 (b) 6 (c) 14 (d) 15
27. 27.If 2 notebooks cost ₹36, how much do 11 notebooks cost? (a) ₹396 (b) ₹45 (c) ₹216 (d) ₹198
28. 28.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 57 (b) 2 (c) 1 (d) 26
29. 29.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
30. 30.If 5x + 11 = 51, what is x? (a) 8 (b) 7 (c) 9 (d) 40
31. 31.Today is Thursday. What day of the week will it be after 94 days? (a) Monday (b) Tuesday (c) Sunday (d) Saturday
32. 32.Every pair follows the same rule: 3 : 7, 7 : 47, 9 : 79. What is 2 : ? (a) 6 (b) 3 (c) 2 (d) 1
33. 33.A shopkeeper buys a toy for ₹320 and sells it for ₹224. What is his loss percent? (a) 96% (b) 30% (c) 25% (d) 35%
34. 34.A shopkeeper buys a toy for ₹240 and sells it for ₹288. What is his profit percent? (a) 15% (b) 25% (c) 20% (d) 48%
35. 35.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 144 cm
36. 36.A bag marked ₹480 is sold at a 20% discount. What is its selling price? (a) ₹460 (b) ₹96 (c) ₹576 (d) ₹384
37. 37.Every pair follows the same rule: 2 : 8, 5 : 125, 6 : 216. What is 1 : ? (a) 1 (b) 2 (c) 4 (d) 7
38. 38.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 68 (b) 28 (c) 36 (d) 48
39. 39.If 5x + 13 = x + 61, what is x? (a) 14 (b) 13 (c) 12 (d) 8
40. 40.In how many years will ₹8500 earn ₹1360 simple interest at 8% per year? (a) 2 years (b) 4 years (c) 1 year (d) 3 years

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