Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 105 · 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 rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 10 cm (c) 16 cm (d) 20 cm
2. 2.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 40 cm (b) 51 cm (c) 20 cm (d) 37 cm
3. 3.What is the smallest number you must add to 289 to make it divisible by 7? (a) 6 (b) 4 (c) 2 (d) 5
4. 4.A shopkeeper buys a toy for ₹980 and sells it for ₹1372. What is his profit percent? (a) 40% (b) 35% (c) 45% (d) 41%
5. 5.8/9 + 1/2 = ? (a) 25/18 (b) 13/9 (c) 4/3 (d) 9/11
6. 6.9 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 9 days (b) 4 days (c) 3 days (d) 10 days
7. 7.Which fraction is greater: 1/8 or 5/11? (a) 1/8 (b) 5/11 (c) They are equal
8. 8.Which is the greatest: 0.82, 0.8, 0.734, 0.062? (a) 0.82 (b) 0.8 (c) 0.734 (d) 0.062
9. 9.Every pair follows the same rule: 2 : 1, 3 : 6, 7 : 46. What is 5 : ? (a) 21 (b) 26 (c) 22 (d) 23
10. 10.9.01 + 8.2 = ? (a) 9.83 (b) 17.31 (c) 17.21 (d) 17.11
11. 11.A bag marked ₹1840 is sold at a 25% discount. What is its selling price? (a) ₹1380 (b) ₹2300 (c) ₹460 (d) ₹1815
12. 12.₹170 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹17 (b) ₹85 (c) ₹170 (d) ₹153
13. 13.What is 25% of 820? (a) 410 (b) 2050 (c) 615 (d) 205
14. 14.If 5 July is a Tuesday, what day of the week is 20 July? (a) Friday (b) Wednesday (c) Tuesday (d) Thursday
15. 15.4/5 + 1/2 = ? (a) 7/5 (b) 5/7 (c) 13/10 (d) 6/5
16. 16.Which is the smallest: 0.24, 0.2, 0.028, 0.149? (a) 0.24 (b) 0.2 (c) 0.028 (d) 0.149
17. 17.What is the simple interest on ₹4000 at 2% per year for 2 years? (a) ₹4160 (b) ₹240 (c) ₹160 (d) ₹80
18. 18.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 32 (b) 55 (c) 27 (d) 50
19. 19.4 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 8 days (b) 2 days (c) 9 days (d) 6 days
20. 20.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
21. 21.What is the simple interest on ₹4500 at 8% per year for 2 years? (a) ₹5220 (b) ₹360 (c) ₹1080 (d) ₹720
22. 22.2/4 + 2/6 = ? (a) 2/5 (b) 3/4 (c) 5/6 (d) 11/12
23. 23.5.55 + 4.4 = ? (a) 9.85 (b) 10.05 (c) 5.99 (d) 9.95
24. 24.Today is Wednesday. What day of the week will it be after 10 days? (a) Saturday (b) Monday (c) Sunday (d) Friday
25. 25.8 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 48 days (b) 3 days (c) 6 days (d) 18 days
26. 26.Today is Saturday. What day of the week will it be after 62 days? (a) Friday (b) Sunday (c) Saturday (d) Thursday
27. 27.Every pair follows the same rule: 2 : 14, 4 : 16, 8 : 20. What is 7 : ? (a) 20 (b) 19 (c) 18 (d) 49
28. 28.If 17 November is a Friday, what day of the week is 8 December? (a) Saturday (b) Thursday (c) Sunday (d) Friday
29. 29.What is the smallest number of sweets that can be shared equally among 16 children or among 28 children, with none left over? (a) 448 (b) 224 (c) 112 (d) 44
30. 30.What is 3/4 of 12? (a) 3 (b) 12 (c) 10 (d) 9
31. 31.Two ribbons are 30 cm and 40 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 30 cm (b) 5 cm (c) 120 cm (d) 10 cm
32. 32.Every pair follows the same rule: 6 : 33, 7 : 46, 8 : 61. What is 2 : ? (a) 1 (b) 3 (c) 2 (d) 29
33. 33.A teacher has 10 pencils and 12 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 1 (c) 60 (d) 2
34. 34.Every pair follows the same rule: 2 : 6, 3 : 11, 6 : 38. What is 7 : ? (a) 21 (b) 47 (c) 51 (d) 11
35. 35.What is the smallest number you must add to 439 to make it divisible by 8? (a) 3 (b) 1 (c) 7 (d) 2
36. 36.Which is the greatest: 0.068, 0.6, 0.68, 0.599? (a) 0.068 (b) 0.6 (c) 0.68 (d) 0.599
37. 37.A shopkeeper buys a toy for ₹280 and sells it for ₹294. What is his profit percent? (a) 5% (b) 6% (c) 14% (d) 10%
38. 38.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 31 (b) 57 (c) 66 (d) 40
39. 39.If 7x + 9 = 4x + 39, what is x? (a) 10 (b) 12 (c) 16 (d) 11
40. 40.What is the average of 34, 27, 32 and 47? (a) 34 (b) 36 (c) 37 (d) 35

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