Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 540 · 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.If x/4 + 5 = 12, what is x? (a) 7 (b) 43 (c) 28 (d) 68
2. 2.Every pair follows the same rule: 6 : 36, 7 : 49, 8 : 64. What is 2 : ? (a) 4 (b) 32 (c) 12 (d) 5
3. 3.What is the value of the digit 2 in 15.982? (a) 0.2 (b) 0.02 (c) 2 (d) 0.002
4. 4.Every pair follows the same rule: 2 : 5, 6 : 37, 8 : 65. What is 4 : ? (a) 9 (b) 17 (c) 18 (d) 7
5. 5.Which is the greatest: 0.475, 0.58, 0.033, 0.5? (a) 0.475 (b) 0.58 (c) 0.033 (d) 0.5
6. 6.If 4 July is a Thursday, what day of the week is 20 July? (a) Saturday (b) Sunday (c) Monday (d) Friday
7. 7.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 15 cm (d) 30 cm
8. 8.Which fraction is greater: 5/6 or 1/10? (a) 1/10 (b) They are equal (c) 5/6
9. 9.4 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 9 days (b) 5 days (c) 8 days (d) 7 days
10. 10.Which is the smallest: 0.3, 0.027, 0.293, 0.35? (a) 0.3 (b) 0.027 (c) 0.293 (d) 0.35
11. 11.What is 20% of 340? (a) 136 (b) 68 (c) 680 (d) 272
12. 12.If 6x + 18 = 3x + 21, what is x? (a) 2 (b) 1 (c) 13 (d) 3
13. 13.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 196 sq cm (d) 26 sq cm
14. 14.A shopkeeper buys a toy for ₹160 and sells it for ₹136. What is his loss percent? (a) 15% (b) 24% (c) 20% (d) 10%
15. 15.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 41 (b) 55 (c) 29 (d) 15
16. 16.What is the value of the digit 1 in 82.176? (a) 1 (b) 0.1 (c) 0.01 (d) 0.001
17. 17.If 3 mangoes cost ₹69, how much do 8 mangoes cost? (a) ₹552 (b) ₹207 (c) ₹74 (d) ₹184
18. 18.If 13 August is a Sunday, what day of the week is 13 September? (a) Wednesday (b) Friday (c) Thursday (d) Tuesday
19. 19.Two ribbons are 24 cm and 42 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 24 cm (b) 3 cm (c) 18 cm (d) 6 cm
20. 20.1.34 + 8.1 = ? (a) 9.54 (b) 9.44 (c) 2.15 (d) 9.34
21. 21.Which fraction is greater: 2/3 or 1/8? (a) 2/3 (b) 1/8 (c) They are equal
22. 22.₹6000 is invested at 3% per year simple interest. What is the amount after 2 years? (a) ₹6180 (b) ₹6360 (c) ₹6540 (d) ₹360
23. 23.1.66 + 1.2 = ? (a) 2.76 (b) 1.78 (c) 2.96 (d) 2.86
24. 24.If 3 kites cost ₹21, how much do 4 kites cost? (a) ₹84 (b) ₹28 (c) ₹35 (d) ₹22
25. 25.Two ribbons are 84 cm and 96 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 672 cm (b) 84 cm (c) 6 cm (d) 12 cm
26. 26.Today is Monday. What day of the week will it be after 71 days? (a) Tuesday (b) Thursday (c) Monday (d) Wednesday
27. 27.What is the average of all the whole numbers from 57 to 79? (a) 22 (b) 69 (c) 11 (d) 68
28. 28.Every pair follows the same rule: 1 : 1, 2 : 8, 5 : 125. What is 6 : ? (a) 164 (b) 217 (c) 6 (d) 216
29. 29.Every pair follows the same rule: 3 : 8, 4 : 9, 8 : 13. What is 6 : ? (a) 11 (b) 10 (c) 12 (d) 13
30. 30.If 7x + 8 = 3x + 48, what is x? (a) 11 (b) 10 (c) 4 (d) 14
31. 31.If 29 April is a Monday, what day of the week is 2 May? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
32. 32.9 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 8 days (b) 9 days (c) 10 days (d) 5 days
33. 33.What is 15% of 980? (a) 294 (b) 833 (c) 1470 (d) 147
34. 34.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
35. 35.Which is the greatest: 0.073, 0.74, 0.7, 0.689? (a) 0.073 (b) 0.74 (c) 0.7 (d) 0.689
36. 36.A shopkeeper buys a toy for ₹520 and sells it for ₹780. What is his profit percent? (a) 51% (b) 55% (c) 50% (d) 45%
37. 37.If x/4 + 2 = 4, what is x? (a) 24 (b) 2 (c) 14 (d) 8
38. 38.What is the average of 54, 48, 62 and 44? (a) 53 (b) 54 (c) 51 (d) 52
39. 39.What is 15% of 600? (a) 900 (b) 180 (c) 510 (d) 90
40. 40.What is 1/2 of 10? (a) 4 (b) 6 (c) 5 (d) 10

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