Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 37 · 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 ribbons are 28 cm and 35 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 7 cm (b) 1 cm (c) 28 cm (d) 140 cm
2. 2.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 29 sq cm (b) 204 sq cm (c) 58 sq cm (d) 221 sq cm
3. 3.Every pair follows the same rule: 2 : 3, 6 : 35, 8 : 63. What is 9 : ? (a) 10 (b) 77 (c) 80 (d) 81
4. 4.What is the units digit of 9^17? (a) 8 (b) 9 (c) 7 (d) 1
5. 5.1/8 + 1/3 = ? (a) 5/12 (b) 1/2 (c) 2/11 (d) 11/24
6. 6.What is the smallest number of sweets that can be shared equally among 12 children or among 21 children, with none left over? (a) 33 (b) 252 (c) 168 (d) 84
7. 7.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 20 min (b) 24 min (c) 4 min (d) 96 min
8. 8.Today is Sunday. What day of the week will it be after 66 days? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
9. 9.3/5 + 4/7 = ? (a) 7/12 (b) 41/35 (c) 8/7 (d) 6/5
10. 10.If 8x + 3 = 83, what is x? (a) 11 (b) 10 (c) 80 (d) 9
11. 11.A bag marked ₹1380 is sold at a 30% discount. What is its selling price? (a) ₹1794 (b) ₹1350 (c) ₹414 (d) ₹966
12. 12.Every pair follows the same rule: 3 : 16, 4 : 17, 6 : 19. What is 9 : ? (a) 22 (b) 21 (c) 24 (d) 23
13. 13.Every pair follows the same rule: 2 : 4, 4 : 16, 7 : 49. What is 5 : ? (a) 10 (b) 25 (c) 7 (d) 27
14. 14.₹4000 is invested at 4% per year simple interest. What is the amount after 2 years? (a) ₹320 (b) ₹4160 (c) ₹4320 (d) ₹4480
15. 15.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 62 (b) 59 (c) 27 (d) 83
16. 16.If 7x + 7 = 105, what is x? (a) 15 (b) 16 (c) 98 (d) 14
17. 17.If 9 notebooks cost ₹27, how much do 8 notebooks cost? (a) ₹26 (b) ₹216 (c) ₹24 (d) ₹27
18. 18.₹3500 is invested at 3% per year simple interest. What is the amount after 4 years? (a) ₹420 (b) ₹4025 (c) ₹3920 (d) ₹3605
19. 19.What is 40% of 860? (a) 516 (b) 688 (c) 344 (d) 3440
20. 20.What is the value of the digit 6 in 76.195? (a) 60 (b) 0.6 (c) 0.06 (d) 6
21. 21.Every pair follows the same rule: 2 : 11, 4 : 23, 8 : 71. What is 3 : ? (a) 11 (b) 17 (c) 12 (d) 16
22. 22.What is 1/5 of 30? (a) 12 (b) 24 (c) 6 (d) 7
23. 23.What is the smallest number you must add to 197 to make it divisible by 6? (a) 3 (b) 1 (c) 2 (d) 5
24. 24.Which fraction is greater: 1/5 or 5/11? (a) They are equal (b) 1/5 (c) 5/11
25. 25.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 58 (b) 33 (c) 57 (d) 30
26. 26.The simple interest on ₹10000 for 2 years is ₹1000. What is the rate per year? (a) 4% (b) 6% (c) 5% (d) 10%
27. 27.A bag marked ₹700 is sold at a 50% discount. What is its selling price? (a) ₹650 (b) ₹351 (c) ₹1050 (d) ₹350
28. 28.What is the smallest number you must add to 498 to make it divisible by 7? (a) 1 (b) 5 (c) 6 (d) 4
29. 29.1.32 + 9.7 = ? (a) 11.12 (b) 2.29 (c) 10.92 (d) 11.02
30. 30.If 9 March is a Friday, what day of the week is 18 March? (a) Monday (b) Sunday (c) Tuesday (d) Saturday
31. 31.What is the smallest number you must add to 672 to make it divisible by 11? (a) 10 (b) 1 (c) 9 (d) 8
32. 32.In how many years will ₹2000 earn ₹120 simple interest at 2% per year? (a) 4 years (b) 3 years (c) 2 years (d) 6 years
33. 33.If 10 September is a Monday, what day of the week is 19 October? (a) Sunday (b) Thursday (c) Friday (d) Saturday
34. 34.A bag marked ₹680 is sold at a 25% discount. What is its selling price? (a) ₹170 (b) ₹510 (c) ₹655 (d) ₹850
35. 35.A batter has an average of 45 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 85 (b) 53 (c) 49 (d) 40
36. 36.Two ribbons are 84 cm and 108 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 84 cm (b) 12 cm (c) 24 cm (d) 6 cm
37. 37.Today is Wednesday. What day of the week will it be after 70 days? (a) Tuesday (b) Friday (c) Thursday (d) Wednesday
38. 38.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 8 (b) 37 (c) 26 (d) 19
39. 39.What is 40% of 500? (a) 2000 (b) 300 (c) 400 (d) 200
40. 40.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 187 sq cm (b) 54 sq cm (c) 27 sq cm (d) 170 sq cm

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