Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 482 · 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 4 July is a Wednesday, what day of the week is 19 July? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
2. 2.Today is Tuesday. What day of the week will it be after 77 days? (a) Tuesday (b) Monday (c) Wednesday (d) Thursday
3. 3.What is the smallest number you must add to 76 to make it divisible by 5? (a) 3 (b) 4 (c) 1 (d) 2
4. 4.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 18 sq cm (d) 100 sq cm
5. 5.What is the remainder when 181 is divided by 6? (a) 1 (b) 0 (c) 2 (d) 5
6. 6.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 33 cm (c) 18 cm (d) 36 cm
7. 7.Every pair follows the same rule: 4 : 22, 5 : 31, 9 : 87. What is 8 : ? (a) 26 (b) 73 (c) 70 (d) 71
8. 8.3/4 + 1/3 = ? (a) 4/7 (b) 13/12 (c) 1 (d) 7/6
9. 9.2/3 + 1/4 = ? (a) 3/7 (b) 5/6 (c) 11/12 (d) 1
10. 10.In how many years will ₹2000 earn ₹80 simple interest at 2% per year? (a) 3 years (b) 1 year (c) 4 years (d) 2 years
11. 11.What is the value of the digit 6 in 61.925? (a) 6 (b) 60 (c) 0.06 (d) 0.6
12. 12.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 24 (b) 42 (c) 32 (d) 14
13. 13.What is the simple interest on ₹2000 at 4% per year for 4 years? (a) ₹2320 (b) ₹320 (c) ₹400 (d) ₹80
14. 14.Which is the greatest: 0.754, 0.83, 0.8, 0.088? (a) 0.754 (b) 0.83 (c) 0.8 (d) 0.088
15. 15.Two ribbons are 96 cm and 108 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 864 cm (b) 6 cm (c) 12 cm (d) 96 cm
16. 16.What is the smallest number you must add to 449 to make it divisible by 7? (a) 4 (b) 6 (c) 5 (d) 1
17. 17.In how many years will ₹2000 earn ₹400 simple interest at 10% per year? (a) 4 years (b) 2 years (c) 1 year (d) 3 years
18. 18.A shopkeeper buys a toy for ₹200 and sells it for ₹150. What is his loss percent? (a) 50% (b) 20% (c) 30% (d) 25%
19. 19.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 121 sq cm (d) 22 sq cm
20. 20.Which fraction is greater: 3/8 or 2/3? (a) They are equal (b) 3/8 (c) 2/3
21. 21.A shopkeeper buys a toy for ₹480 and sells it for ₹720. What is his profit percent? (a) 45% (b) 51% (c) 50% (d) 55%
22. 22.What is the smallest number of sweets that can be shared equally among 15 children or among 18 children, with none left over? (a) 33 (b) 90 (c) 180 (d) 270
23. 23.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 162 sq cm (d) 144 sq cm
24. 24.1/6 + 1/2 = ? (a) 5/6 (b) 1/4 (c) 1/2 (d) 2/3
25. 25.3 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 3 days (b) 5 days (c) 4 days (d) 2 days
26. 26.Which is the smallest: 0.427, 0.098, 0.56, 0.5? (a) 0.427 (b) 0.098 (c) 0.56 (d) 0.5
27. 27.If x/2 + 6 = 12, what is x? (a) 6 (b) 36 (c) 12 (d) 18
28. 28.If 2 January is a Tuesday, what day of the week is 10 January? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
29. 29.7.23 + 8.2 = ? (a) 15.53 (b) 15.43 (c) 8.05 (d) 15.33
30. 30.If 6x + 14 = 56, what is x? (a) 7 (b) 8 (c) 42 (d) 6
31. 31.What is the simple interest on ₹6000 at 10% per year for 3 years? (a) ₹1800 (b) ₹600 (c) ₹2400 (d) ₹7800
32. 32.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 33 (b) 61 (c) 68 (d) 40
33. 33.Today is Monday. What day of the week will it be after 89 days? (a) Sunday (b) Saturday (c) Friday (d) Monday
34. 34.Which fraction is greater: 9/11 or 3/5? (a) They are equal (b) 3/5 (c) 9/11
35. 35.In how many years will ₹8000 earn ₹1120 simple interest at 7% per year? (a) 3 years (b) 2 years (c) 1 year (d) 4 years
36. 36.Which is the greatest: 0.42, 0.4, 0.094, 0.373? (a) 0.42 (b) 0.4 (c) 0.094 (d) 0.373
37. 37.1/3 + 1/2 = ? (a) 1 (b) 2/3 (c) 2/5 (d) 5/6
38. 38.If 4x + 20 = 72, what is x? (a) 13 (b) 23 (c) 14 (d) 52
39. 39.Which fraction is greater: 1/6 or 3/5? (a) 3/5 (b) They are equal (c) 1/6
40. 40.1/4 + 3/4 = ? (a) 5/4 (b) 1 (c) 1/2 (d) 3/4

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