Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 682 · 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.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 36 min (c) 108 min (d) 21 min
2. 2.What is the value of the digit 6 in 25.196? (a) 6 (b) 0.006 (c) 0.06 (d) 0.6
3. 3.The simple interest on ₹2000 for 2 years is ₹200. What is the rate per year? (a) 5% (b) 10% (c) 4% (d) 6%
4. 4.If 21 May is a Friday, what day of the week is 10 June? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
5. 5.If 7 May is a Friday, what day of the week is 17 May? (a) Wednesday (b) Sunday (c) Monday (d) Tuesday
6. 6.2.44 + 5.8 = ? (a) 8.24 (b) 3.02 (c) 8.14 (d) 8.34
7. 7.Which is the smallest: 0.62, 0.6, 0.087, 0.523? (a) 0.62 (b) 0.6 (c) 0.087 (d) 0.523
8. 8.What is the average of all the whole numbers from 39 to 61? (a) 51 (b) 50 (c) 22 (d) 11
9. 9.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
10. 10.What is the units digit of 4^47? (a) 6 (b) 3 (c) 4 (d) 5
11. 11.9 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 36 days (b) 6 days (c) 18 days (d) 4 days
12. 12.The average of 5 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) 51 (d) 25
13. 13.In how many years will ₹3500 earn ₹525 simple interest at 3% per year? (a) 4 years (b) 6 years (c) 5 years (d) 10 years
14. 14.What is the smallest number you must add to 157 to make it divisible by 3? (a) 1 (b) 2
15. 15.The simple interest on ₹4500 for 4 years is ₹900. What is the rate per year? (a) 5% (b) 4% (c) 20% (d) 6%
16. 16.If 8x + 2 = 4x + 10, what is x? (a) 4 (b) 3 (c) 2 (d) 1
17. 17.Two bells ring every 18 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 432 min (c) 42 min (d) 72 min
18. 18.Every pair follows the same rule: 2 : 10, 3 : 15, 7 : 35. What is 6 : ? (a) 14 (b) 29 (c) 31 (d) 30
19. 19.Every pair follows the same rule: 2 : 22, 4 : 24, 6 : 26. What is 5 : ? (a) 24 (b) 55 (c) 26 (d) 25
20. 20.If 18 October is a Tuesday, what day of the week is 15 November? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
21. 21.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 25 (b) 52 (c) 15 (d) 16
22. 22.₹319 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹116 (b) ₹29 (c) ₹232 (d) ₹203
23. 23.₹6000 is invested at 10% per year simple interest. What is the amount after 3 years? (a) ₹1800 (b) ₹6600 (c) ₹8400 (d) ₹7800
24. 24.In how many years will ₹2500 earn ₹550 simple interest at 11% per year? (a) 3 years (b) 2 years (c) 4 years (d) 1 year
25. 25.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 15 sq cm (b) 55 sq cm (c) 44 sq cm (d) 30 sq cm
26. 26.If 7x + 6 = 48, what is x? (a) 7 (b) 6 (c) 42 (d) 5
27. 27.Which fraction is greater: 1/9 or 1/3? (a) They are equal (b) 1/3 (c) 1/9
28. 28.What is the average of all the whole numbers from 11 to 39? (a) 14 (b) 28 (c) 26 (d) 25
29. 29.A shopkeeper buys a toy for ₹660 and sells it for ₹462. What is his loss percent? (a) 25% (b) 35% (c) 31% (d) 30%
30. 30.Today is Tuesday. What day of the week will it be after 66 days? (a) Friday (b) Thursday (c) Saturday (d) Sunday
31. 31.What is the average of 16, 27, 28, 19 and 55? (a) 30 (b) 29 (c) 31 (d) 28
32. 32.Two ribbons are 12 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 6 cm (c) 3 cm (d) 36 cm
33. 33.Two ribbons are 36 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 36 cm (c) 6 cm (d) 48 cm
34. 34.A teacher has 64 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 576 (b) 8 (c) 64 (d) 4
35. 35.A shopkeeper buys a toy for ₹360 and sells it for ₹288. What is his loss percent? (a) 25% (b) 72% (c) 15% (d) 20%
36. 36.Which fraction is greater: 1/3 or 2/7? (a) They are equal (b) 1/3 (c) 2/7
37. 37.₹165 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹45 (b) ₹135 (c) ₹15 (d) ₹120
38. 38.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 52 sq cm (d) 196 sq cm
39. 39.Which fraction is greater: 1/8 or 5/11? (a) 1/8 (b) They are equal (c) 5/11
40. 40.Two ribbons are 4 cm and 6 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 12 cm (c) 4 cm (d) 2 cm

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