Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 706 · 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 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 48 min (c) 14 min (d) 2 min
2. 2.Today is Saturday. What day of the week will it be after 26 days? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
3. 3.If 4x + 2 = 2x + 24, what is x? (a) 13 (b) 10 (c) 11 (d) 12
4. 4.Today is Tuesday. What day of the week will it be after 11 days? (a) Friday (b) Saturday (c) Monday (d) Sunday
5. 5.What is the average of 72, 75, 75, 65 and 48? (a) 68 (b) 66 (c) 69 (d) 67
6. 6.6.44 + 2.1 = ? (a) 8.64 (b) 8.54 (c) 8.44 (d) 6.65
7. 7.What is the average of all the whole numbers from 30 to 42? (a) 12 (b) 36 (c) 6 (d) 37
8. 8.What is the simple interest on ₹4500 at 7% per year for 2 years? (a) ₹5130 (b) ₹315 (c) ₹630 (d) ₹945
9. 9.What is the value of the digit 3 in 75.683? (a) 3 (b) 0.003 (c) 0.3 (d) 0.03
10. 10.1.71 + 2.1 = ? (a) 1.92 (b) 3.91 (c) 3.71 (d) 3.81
11. 11.If 9x + 3 = 2x + 59, what is x? (a) 7 (b) 9 (c) 8 (d) 10
12. 12.If 6 kites cost ₹42, how much do 11 kites cost? (a) ₹462 (b) ₹84 (c) ₹47 (d) ₹77
13. 13.A batter has an average of 59 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 21 (c) 65 (d) 80
14. 14.What is the average of 68, 73, 89 and 70? (a) 75 (b) 76 (c) 74 (d) 100
15. 15.In how many years will ₹10000 earn ₹2500 simple interest at 5% per year? (a) 10 years (b) 5 years (c) 6 years (d) 4 years
16. 16.What is the average of all the whole numbers from 37 to 75? (a) 38 (b) 19 (c) 56 (d) 57
17. 17.₹70 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹7 (b) ₹49 (c) ₹35 (d) ₹21
18. 18.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 22 min (b) 112 min (c) 56 min (d) 2 min
19. 19.What is the average of all the whole numbers from 36 to 54? (a) 46 (b) 45 (c) 18 (d) 9
20. 20.What is 2/7 of 63? (a) 18 (b) 27 (c) 9 (d) 45
21. 21.6 workers can build a wall in 15 days. How many days will 9 workers take, working at the same speed? (a) 12 days (b) 18 days (c) 10 days (d) 11 days
22. 22.Today is Monday. What day of the week will it be after 94 days? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
23. 23.₹49 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹28 (b) ₹21 (c) ₹7 (d) ₹35
24. 24.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 4 days (b) 19 days (c) 3 days (d) 2 days
25. 25.2/9 + 2/4 = ? (a) 3/4 (b) 25/36 (c) 13/18 (d) 4/13
26. 26.Every pair follows the same rule: 5 : 9, 8 : 15, 9 : 17. What is 2 : ? (a) 4 (b) 3 (c) 6 (d) 2
27. 27.What is the units digit of 2^42? (a) 8 (b) 6 (c) 4 (d) 2
28. 28.What is the value of the digit 2 in 47.213? (a) 0.2 (b) 0.02 (c) 0.002 (d) 2
29. 29.Two ribbons are 12 cm and 27 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 15 cm (b) 1 cm (c) 12 cm (d) 3 cm
30. 30.What is the simple interest on ₹9500 at 8% per year for 2 years? (a) ₹11020 (b) ₹760 (c) ₹2280 (d) ₹1520
31. 31.5.44 + 9.9 = ? (a) 15.44 (b) 15.24 (c) 15.34 (d) 6.43
32. 32.What is the value of the digit 1 in 61.423? (a) 0.01 (b) 1 (c) 0.1 (d) 10
33. 33.What is the remainder when 625 is divided by 12? (a) 1 (b) 0 (c) 2 (d) 11
34. 34.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 12 cm (c) 14 cm (d) 8 cm
35. 35.A bag marked ₹800 is sold at a 40% discount. What is its selling price? (a) ₹320 (b) ₹480 (c) ₹1120 (d) ₹760
36. 36.What is 50% of 920? (a) 460 (b) 4600 (c) 461 (d) 920
37. 37.Every pair follows the same rule: 3 : 14, 5 : 24, 9 : 44. What is 8 : ? (a) 19 (b) 40 (c) 39 (d) 38
38. 38.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 27 sq cm (b) 140 sq cm (c) 54 sq cm (d) 160 sq cm
39. 39.If 2 notebooks cost ₹44, how much do 8 notebooks cost? (a) ₹50 (b) ₹198 (c) ₹176 (d) ₹352
40. 40.A bag marked ₹1300 is sold at a 15% discount. What is its selling price? (a) ₹1285 (b) ₹1495 (c) ₹1105 (d) ₹195

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