Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 76 · 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 8x + 2 = 4x + 34, what is x? (a) 9 (b) 8 (c) 10 (d) 7
2. 2.What is 75% of 340? (a) 2550 (b) 510 (c) 255 (d) 85
3. 3.7 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 21 days (b) 22 days (c) 5 days (d) 13 days
4. 4.What is the average of 57, 45, 36, 37, 36 and 83? (a) 48 (b) 51 (c) 49 (d) 50
5. 5.Today is Wednesday. What day of the week will it be after 44 days? (a) Sunday (b) Thursday (c) Friday (d) Saturday
6. 6.If 9x + 9 = 144, what is x? (a) 17 (b) 135 (c) 16 (d) 15
7. 7.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
8. 8.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 135 cm
9. 9.If 9x + 9 = 7x + 23, what is x? (a) 9 (b) 7 (c) 16 (d) 8
10. 10.4.98 + 7.2 = ? (a) 12.28 (b) 12.08 (c) 5.7 (d) 12.18
11. 11.What is 1/3 of 36? (a) 13 (b) 11 (c) 12 (d) 24
12. 12.Which fraction is greater: 1/7 or 2/3? (a) 1/7 (b) They are equal (c) 2/3
13. 13.Today is Monday. What day of the week will it be after 32 days? (a) Thursday (b) Sunday (c) Saturday (d) Friday
14. 14.Every pair follows the same rule: 2 : 4, 8 : 64, 9 : 81. What is 3 : ? (a) 5 (b) 6 (c) 10 (d) 9
15. 15.If 2 notebooks cost ₹38, how much do 11 notebooks cost? (a) ₹47 (b) ₹418 (c) ₹209 (d) ₹228
16. 16.Every pair follows the same rule: 2 : 6, 4 : 12, 9 : 27. What is 8 : ? (a) 25 (b) 24 (c) 12 (d) 23
17. 17.If 6x + 1 = 2x + 41, what is x? (a) 5 (b) 12 (c) 10 (d) 11
18. 18.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
19. 19.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 54 sq cm (c) 40 sq cm (d) 20 sq cm
20. 20.What is the units digit of 8^25? (a) 8 (b) 6 (c) 4 (d) 2
21. 21.If 5 mangoes cost ₹105, how much do 4 mangoes cost? (a) ₹420 (b) ₹104 (c) ₹105 (d) ₹84
22. 22.If 3 mangoes cost ₹9, how much do 4 mangoes cost? (a) ₹12 (b) ₹10 (c) ₹15 (d) ₹36
23. 23.Which fraction is greater: 5/7 or 1/3? (a) They are equal (b) 1/3 (c) 5/7
24. 24.What is the value of the digit 3 in 39.845? (a) 3 (b) 0.03 (c) 30 (d) 0.3
25. 25.₹396 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹324 (b) ₹198 (c) ₹36 (d) ₹72
26. 26.8.48 + 6.7 = ? (a) 15.18 (b) 15.08 (c) 9.15 (d) 15.28
27. 27.The simple interest on ₹3500 for 4 years is ₹1120. What is the rate per year? (a) 9% (b) 7% (c) 32% (d) 8%
28. 28.Which is the greatest: 0.2, 0.23, 0.113, 0.016? (a) 0.2 (b) 0.23 (c) 0.113 (d) 0.016
29. 29.Every pair follows the same rule: 2 : 8, 4 : 64, 5 : 125. What is 3 : ? (a) 9 (b) 3 (c) 27 (d) 12
30. 30.What is the value of the digit 7 in 27.315? (a) 70 (b) 7 (c) 0.7 (d) 0.07
31. 31.What is 60% of 1000? (a) 600 (b) 6000 (c) 1200 (d) 400
32. 32.What is the value of the digit 2 in 76.238? (a) 0.02 (b) 0.2 (c) 2 (d) 0.002
33. 33.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 28 cm (c) 30 cm (d) 32 cm
34. 34.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 15 (b) 26 (c) 27 (d) 16
35. 35.A batter has an average of 26 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 30 (c) 18 (d) 44
36. 36.If 6 pens cost ₹150, how much do 11 pens cost? (a) ₹1650 (b) ₹155 (c) ₹275 (d) ₹300
37. 37.Every pair follows the same rule: 3 : 8, 5 : 24, 6 : 35. What is 8 : ? (a) 13 (b) 57 (c) 64 (d) 63
38. 38.A shopkeeper buys a toy for ₹340 and sells it for ₹476. What is his profit percent? (a) 41% (b) 40% (c) 35% (d) 45%
39. 39.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 16 cm (d) 24 cm
40. 40.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 23 (b) 18 (c) 12 (d) 7

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