Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 147 · 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 batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 8 (b) 45 (c) 39 (d) 41
2. 2.If 12 January is a Wednesday, what day of the week is 27 January? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
3. 3.Two bells ring every 20 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 560 min (b) 4 min (c) 140 min (d) 48 min
4. 4.Every pair follows the same rule: 4 : 14, 6 : 34, 8 : 62. What is 7 : ? (a) 17 (b) 48 (c) 47 (d) 46
5. 5.If 4 March is a Monday, what day of the week is 13 March? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
6. 6.Two ribbons are 24 cm and 56 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 24 cm (c) 32 cm (d) 4 cm
7. 7.If 4 pens cost ₹64, how much do 3 pens cost? (a) ₹192 (b) ₹48 (c) ₹64 (d) ₹63
8. 8.A bag marked ₹200 is sold at a 30% discount. What is its selling price? (a) ₹140 (b) ₹60 (c) ₹260 (d) ₹170
9. 9.The simple interest on ₹8000 for 5 years is ₹2000. What is the rate per year? (a) 6% (b) 4% (c) 25% (d) 5%
10. 10.In how many years will ₹2000 earn ₹700 simple interest at 7% per year? (a) 5 years (b) 6 years (c) 10 years (d) 4 years
11. 11.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 9 cm (c) 10 cm (d) 88 cm
12. 12.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 60 cm
13. 13.Which fraction is greater: 3/4 or 2/3? (a) 2/3 (b) They are equal (c) 3/4
14. 14.₹76 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹38 (b) ₹57 (c) ₹19 (d) ₹76
15. 15.What is the average of all the whole numbers from 12 to 26? (a) 20 (b) 14 (c) 7 (d) 19
16. 16.A teacher has 8 pencils and 18 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 8 (b) 1 (c) 10 (d) 2
17. 17.1.46 + 8.3 = ? (a) 9.76 (b) 2.29 (c) 9.66 (d) 9.86
18. 18.₹7500 is invested at 12% per year simple interest. What is the amount after 3 years? (a) ₹2700 (b) ₹8400 (c) ₹10200 (d) ₹11100
19. 19.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 112 (b) 36 (c) 224 (d) 56
20. 20.Two bells ring every 6 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 90 min (b) 21 min (c) 3 min (d) 30 min
21. 21.Every pair follows the same rule: 3 : 19, 6 : 31, 9 : 43. What is 2 : ? (a) 16 (b) 18 (c) 15 (d) 14
22. 22.What is the smallest number of sweets that can be shared equally among 6 children or among 14 children, with none left over? (a) 20 (b) 43 (c) 84 (d) 42
23. 23.What is 1/3 of 18? (a) 7 (b) 5 (c) 6 (d) 12
24. 24.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 25 sq cm (d) 20 sq cm
25. 25.If 6 December is a Saturday, what day of the week is 15 December? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
26. 26.If 6x − 30 = 36, what is x? (a) 66 (b) 12 (c) 11 (d) 1
27. 27.What is the value of the digit 2 in 23.981? (a) 2 (b) 0.02 (c) 20 (d) 0.2
28. 28.If 11 August is a Thursday, what day of the week is 26 August? (a) Friday (b) Saturday (c) Sunday (d) Thursday
29. 29.Every pair follows the same rule: 4 : 14, 7 : 20, 8 : 22. What is 6 : ? (a) 19 (b) 18 (c) 17 (d) 16
30. 30.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 49 (b) 101 (c) 31 (d) 32
31. 31.Two ribbons are 10 cm and 14 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 1 cm (c) 10 cm (d) 4 cm
32. 32.Today is Friday. What day of the week will it be after 20 days? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
33. 33.₹4000 is invested at 12% per year simple interest. What is the amount after 4 years? (a) ₹1920 (b) ₹4480 (c) ₹6400 (d) ₹5920
34. 34.If x/3 + 12 = 20, what is x? (a) 8 (b) 96 (c) 24 (d) 48
35. 35.Two bells ring every 9 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 189 min (b) 3 min (c) 63 min (d) 30 min
36. 36.If 11 September is a Wednesday, what day of the week is 14 October? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
37. 37.Today is Monday. What day of the week will it be after 82 days? (a) Sunday (b) Friday (c) Saturday (d) Monday
38. 38.If 9 pens cost ₹108, how much do 4 pens cost? (a) ₹48 (b) ₹60 (c) ₹103 (d) ₹432
39. 39.Every pair follows the same rule: 5 : 22, 8 : 61, 9 : 78. What is 7 : ? (a) 47 (b) 46 (c) 44 (d) 24
40. 40.If 10 April is a Monday, what day of the week is 7 May? (a) Saturday (b) Sunday (c) Monday (d) Tuesday

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