Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 458 · 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.Every pair follows the same rule: 2 : 8, 3 : 11, 7 : 23. What is 4 : ? (a) 14 (b) 15 (c) 10 (d) 16
2. 2.What is the average of 6, 24, 5, 8, 11 and 66? (a) 24 (b) 19 (c) 21 (d) 20
3. 3.6 workers can build a wall in 15 days. How many days will 10 workers take, working at the same speed? (a) 19 days (b) 11 days (c) 25 days (d) 9 days
4. 4.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 18 cm (b) 10 cm (c) 80 cm (d) 9 cm
5. 5.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 23 sq cm (c) 46 sq cm (d) 130 sq cm
6. 6.Every pair follows the same rule: 2 : 11, 8 : 71, 9 : 88. What is 5 : ? (a) 33 (b) 20 (c) 32 (d) 14
7. 7.What is 2/9 of 36? (a) 12 (b) 28 (c) 4 (d) 8
8. 8.If 7x + 5 = 3x + 21, what is x? (a) 3 (b) 5 (c) 4 (d) 6
9. 9.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
10. 10.What is the simple interest on ₹3500 at 6% per year for 3 years? (a) ₹630 (b) ₹4130 (c) ₹210 (d) ₹840
11. 11.What is the remainder when 313 is divided by 5? (a) 1 (b) 2 (c) 4 (d) 3
12. 12.What is the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 56 (b) 57 (c) 112 (d) 22
13. 13.If 2 October is a Monday, what day of the week is 14 October? (a) Monday (b) Saturday (c) Sunday (d) Friday
14. 14.6 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 12 days (b) 6 days (c) 5 days (d) 7 days
15. 15.Two ribbons are 15 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 15 cm (b) 3 cm (c) 9 cm (d) 1 cm
16. 16.What is the simple interest on ₹5000 at 10% per year for 4 years? (a) ₹7000 (b) ₹2000 (c) ₹2500 (d) ₹500
17. 17.If 11 December is a Thursday, what day of the week is 24 December? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
18. 18.Every pair follows the same rule: 2 : 4, 3 : 9, 8 : 64. What is 6 : ? (a) 42 (b) 12 (c) 36 (d) 8
19. 19.What is 50% of 60? (a) 30 (b) 31 (c) 300 (d) 60
20. 20.If 2 mangoes cost ₹48, how much do 10 mangoes cost? (a) ₹264 (b) ₹240 (c) ₹480 (d) ₹56
21. 21.If 15 January is a Sunday, what day of the week is 17 February? (a) Thursday (b) Sunday (c) Saturday (d) Friday
22. 22.Which fraction is greater: 5/8 or 6/11? (a) 5/8 (b) 6/11 (c) They are equal
23. 23.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 22 sq cm (d) 121 sq cm
24. 24.Every pair follows the same rule: 4 : 24, 5 : 30, 8 : 48. What is 3 : ? (a) 17 (b) 19 (c) 23 (d) 18
25. 25.What is the average of 70, 52, 62, 55 and 66? (a) 62 (b) 61 (c) 60 (d) 63
26. 26.Today is Monday. What day of the week will it be after 31 days? (a) Thursday (b) Friday (c) Saturday (d) Wednesday
27. 27.Every pair follows the same rule: 2 : 3, 4 : 15, 5 : 24. What is 8 : ? (a) 64 (b) 9 (c) 63 (d) 51
28. 28.Two ribbons are 36 cm and 81 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 45 cm (b) 36 cm (c) 9 cm (d) 3 cm
29. 29.Which is the greatest: 0.3, 0.33, 0.069, 0.248? (a) 0.3 (b) 0.33 (c) 0.069 (d) 0.248
30. 30.What is the average of 64, 57, 51, 69, 43 and 64? (a) 59 (b) 58 (c) 60 (d) 57
31. 31.7.14 + 5.3 = ? (a) 12.54 (b) 12.44 (c) 12.34 (d) 7.67
32. 32.Every pair follows the same rule: 6 : 12, 8 : 16, 9 : 18. What is 5 : ? (a) 11 (b) 10 (c) 9 (d) 12
33. 33.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 52 sq cm (d) 26 sq cm
34. 34.Which of these numbers is divisible by 3? (a) 1246 (b) 1241 (c) 1242 (d) 1243
35. 35.What is the remainder when 340 is divided by 8? (a) 5 (b) 6 (c) 4 (d) 3
36. 36.If 7 pens cost ₹105, how much do 5 pens cost? (a) ₹525 (b) ₹75 (c) ₹90 (d) ₹103
37. 37.Every pair follows the same rule: 2 : 2, 3 : 4, 7 : 12. What is 8 : ? (a) 15 (b) 8 (c) 14 (d) 13
38. 38.What is the remainder when 313 is divided by 4? (a) 0 (b) 2 (c) 1 (d) 3
39. 39.If 8 kites cost ₹160, how much do 7 kites cost? (a) ₹160 (b) ₹1120 (c) ₹140 (d) ₹159
40. 40.3 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 3 days (b) 2 days (c) 4 days (d) 7 days

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