Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 304 · 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.In how many years will ₹10000 earn ₹400 simple interest at 2% per year? (a) 3 years (b) 2 years (c) 1 year (d) 4 years
2. 2.1/2 + 1/2 = ? (a) 3/2 (b) 1 (c) 1/2 (d) 2
3. 3.6 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 5 days (b) 6 days (c) 7 days (d) 2 days
4. 4.Which of these numbers is divisible by 9? (a) 6487 (b) 6489 (c) 6491 (d) 6500
5. 5.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 60 cm (b) 8 cm (c) 5 cm (d) 4 cm
6. 6.What is the simple interest on ₹1000 at 9% per year for 4 years? (a) ₹1360 (b) ₹90 (c) ₹450 (d) ₹360
7. 7.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 21 cm (b) 32 cm (c) 42 cm (d) 110 cm
8. 8.Two bells ring every 12 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 42 min (b) 360 min (c) 60 min (d) 6 min
9. 9.In how many years will ₹3500 earn ₹875 simple interest at 5% per year? (a) 6 years (b) 5 years (c) 10 years (d) 4 years
10. 10.What is the average of all the whole numbers from 30 to 46? (a) 8 (b) 16 (c) 38 (d) 39
11. 11.Today is Wednesday. What day of the week will it be after 55 days? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
12. 12.If 1 January is a Saturday, what day of the week is 15 January? (a) Saturday (b) Sunday (c) Friday (d) Monday
13. 13.8 workers can build a wall in 9 days. How many days will 6 workers take, working at the same speed? (a) 11 days (b) 12 days (c) 13 days (d) 7 days
14. 14.What is the units digit of 4^24? (a) 5 (b) 6 (c) 4 (d) 7
15. 15.Which fraction is greater: 7/10 or 2/3? (a) They are equal (b) 2/3 (c) 7/10
16. 16.9 workers can build a wall in 8 days. How many days will 3 workers take, working at the same speed? (a) 2 days (b) 25 days (c) 14 days (d) 24 days
17. 17.If 3x + 25 = 52, what is x? (a) 27 (b) 10 (c) 9 (d) 8
18. 18.A bag marked ₹680 is sold at a 10% discount. What is its selling price? (a) ₹670 (b) ₹612 (c) ₹68 (d) ₹748
19. 19.What is the smallest number you must add to 485 to make it divisible by 11? (a) 10 (b) 8 (c) 1 (d) 9
20. 20.If 5x + 3 = 48, what is x? (a) 45 (b) 8 (c) 10 (d) 9
21. 21.A bag marked ₹1340 is sold at a 30% discount. What is its selling price? (a) ₹402 (b) ₹938 (c) ₹1310 (d) ₹1742
22. 22.What is the average of all the whole numbers from 38 to 62? (a) 50 (b) 51 (c) 24 (d) 12
23. 23.A bag marked ₹840 is sold at a 20% discount. What is its selling price? (a) ₹1008 (b) ₹672 (c) ₹168 (d) ₹820
24. 24.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 33 (c) 35 (d) 58
25. 25.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
26. 26.If 5x + 2 = 4x + 11, what is x? (a) 13 (b) 9 (c) 1 (d) 10
27. 27.Today is Monday. What day of the week will it be after 73 days? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
28. 28.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 60 (b) 20 (c) 84 (d) 44
29. 29.If 5x − 34 = 1, what is x? (a) 6 (b) 35 (c) 7 (d) 8
30. 30.What is the value of the digit 4 in 81.694? (a) 0.04 (b) 4 (c) 0.4 (d) 0.004
31. 31.1.64 + 8.1 = ? (a) 9.74 (b) 2.45 (c) 9.84 (d) 9.64
32. 32.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 36 sq cm (c) 13 sq cm (d) 45 sq cm
33. 33.The simple interest on ₹2000 for 3 years is ₹660. What is the rate per year? (a) 33% (b) 12% (c) 11% (d) 10%
34. 34.If x/2 + 15 = 18, what is x? (a) 6 (b) 21 (c) 3 (d) 66
35. 35.Every pair follows the same rule: 6 : 33, 7 : 46, 9 : 78. What is 4 : ? (a) 31 (b) 14 (c) 13 (d) 12
36. 36.If 5 January is a Friday, what day of the week is 16 January? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
37. 37.Today is Tuesday. What day of the week will it be after 12 days? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
38. 38.9 workers can build a wall in 8 days. How many days will 6 workers take, working at the same speed? (a) 11 days (b) 5 days (c) 12 days (d) 13 days
39. 39.4/6 + 1/3 = ? (a) 5/9 (b) 5/6 (c) 1 (d) 7/6
40. 40.What is the average of 43, 60, 42, 62, 57 and 78? (a) 56 (b) 58 (c) 57 (d) 59

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