Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 266 · 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 3 January is a Saturday, what day of the week is 18 January? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
2. 2.5/6 + 5/8 = ? (a) 5/7 (b) 3/2 (c) 35/24 (d) 17/12
3. 3.If 12 September is a Monday, what day of the week is 3 October? (a) Wednesday (b) Monday (c) Tuesday (d) Sunday
4. 4.What is the smallest number you must add to 362 to make it divisible by 10? (a) 2 (b) 9 (c) 7 (d) 8
5. 5.If 8x − 25 = 7, what is x? (a) 3 (b) 32 (c) 5 (d) 4
6. 6.What is the simple interest on ₹6000 at 7% per year for 2 years? (a) ₹840 (b) ₹420 (c) ₹6840 (d) ₹1260
7. 7.If 3 October is a Tuesday, what day of the week is 12 October? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
8. 8.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 12 (b) 41 (c) 51 (d) 80
9. 9.What is the remainder when 165 is divided by 6? (a) 5 (b) 3 (c) 2 (d) 4
10. 10.In how many years will ₹10000 earn ₹2100 simple interest at 7% per year? (a) 6 years (b) 4 years (c) 3 years (d) 2 years
11. 11.Every pair follows the same rule: 4 : 64, 5 : 125, 6 : 216. What is 1 : ? (a) 61 (b) 1 (c) 16 (d) 2
12. 12.If 6x + 19 = 5x + 30, what is x? (a) 49 (b) 11 (c) 1 (d) 12
13. 13.A shopkeeper buys a toy for ₹800 and sells it for ₹1200. What is his profit percent? (a) 55% (b) 51% (c) 50% (d) 45%
14. 14.In how many years will ₹5000 earn ₹1500 simple interest at 6% per year? (a) 10 years (b) 5 years (c) 6 years (d) 4 years
15. 15.In how many years will ₹7000 earn ₹560 simple interest at 4% per year? (a) 2 years (b) 4 years (c) 1 year (d) 3 years
16. 16.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 38 (b) 44 (c) 37 (d) 89
17. 17.What is the average of all the whole numbers from 28 to 42? (a) 7 (b) 35 (c) 36 (d) 14
18. 18.Which is the greatest: 0.312, 0.46, 0.073, 0.4? (a) 0.312 (b) 0.46 (c) 0.073 (d) 0.4
19. 19.6.29 + 6.8 = ? (a) 13.09 (b) 12.99 (c) 6.97 (d) 13.19
20. 20.1.41 + 1.1 = ? (a) 2.61 (b) 1.52 (c) 2.41 (d) 2.51
21. 21.If 5x − 13 = 12, what is x? (a) 6 (b) 4 (c) 5 (d) 25
22. 22.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 23 sq cm (b) 95 sq cm (c) 46 sq cm (d) 76 sq cm
23. 23.2.36 + 5.4 = ? (a) 7.86 (b) 2.9 (c) 7.66 (d) 7.76
24. 24.If 25 June is a Thursday, what day of the week is 7 July? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
25. 25.If 12 May is a Wednesday, what day of the week is 12 June? (a) Saturday (b) Monday (c) Friday (d) Sunday
26. 26.A bag marked ₹1680 is sold at a 15% discount. What is its selling price? (a) ₹252 (b) ₹1665 (c) ₹1428 (d) ₹1932
27. 27.Every pair follows the same rule: 2 : 15, 3 : 16, 4 : 17. What is 6 : ? (a) 19 (b) 20 (c) 18 (d) 21
28. 28.Today is Wednesday. What day of the week will it be after 94 days? (a) Saturday (b) Monday (c) Sunday (d) Friday
29. 29.5 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 8 days (c) 4 days (d) 10 days
30. 30.If 3 December is a Sunday, what day of the week is 13 December? (a) Wednesday (b) Thursday (c) Friday (d) Tuesday
31. 31.What is 5% of 500? (a) 475 (b) 250 (c) 50 (d) 25
32. 32.What is 40% of 480? (a) 288 (b) 192 (c) 384 (d) 1920
33. 33.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 12 cm
34. 34.9.28 + 1.7 = ? (a) 10.88 (b) 10.98 (c) 11.08 (d) 9.45
35. 35.Which is the smallest: 0.018, 0.81, 0.731, 0.8? (a) 0.018 (b) 0.81 (c) 0.731 (d) 0.8
36. 36.7 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 8 days (b) 6 days (c) 1 day (d) 7 days
37. 37.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 56 cm (b) 6 cm (c) 5 cm (d) 10 cm
38. 38.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 18 sq cm (c) 22 sq cm (d) 11 sq cm
39. 39.What is the value of the digit 6 in 49.276? (a) 0.06 (b) 0.6 (c) 0.006 (d) 6
40. 40.A shopkeeper buys a toy for ₹140 and sells it for ₹126. What is his loss percent? (a) 14% (b) 15% (c) 10% (d) 5%

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