Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 498 · 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.Which is the smallest: 0.012, 0.3, 0.39, 0.274? (a) 0.012 (b) 0.3 (c) 0.39 (d) 0.274
2. 2.Two bells ring every 25 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 150 min (b) 5 min (c) 55 min (d) 750 min
3. 3.Two ribbons are 15 cm and 20 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) 60 cm (c) 5 cm (d) 1 cm
4. 4.₹414 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹46 (b) ₹230 (c) ₹184 (d) ₹207
5. 5.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 80 cm (c) 36 cm (d) 18 cm
6. 6.If 19 January is a Tuesday, what day of the week is 12 February? (a) Sunday (b) Friday (c) Saturday (d) Thursday
7. 7.If 8 pens cost ₹72, how much do 2 pens cost? (a) ₹18 (b) ₹144 (c) ₹27 (d) ₹66
8. 8.2/4 + 8/9 = ? (a) 49/36 (b) 10/13 (c) 25/18 (d) 17/12
9. 9.What is 1/6 of 42? (a) 14 (b) 7 (c) 8 (d) 35
10. 10.What is the value of the digit 2 in 68.215? (a) 0.2 (b) 0.002 (c) 2 (d) 0.02
11. 11.7 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 14 days (c) 9 days (d) 15 days
12. 12.Every pair follows the same rule: 5 : 10, 8 : 16, 9 : 18. What is 7 : ? (a) 13 (b) 15 (c) 12 (d) 14
13. 13.A bag marked ₹1420 is sold at a 40% discount. What is its selling price? (a) ₹1988 (b) ₹1380 (c) ₹852 (d) ₹568
14. 14.Which is the smallest: 0.489, 0.5, 0.092, 0.57? (a) 0.489 (b) 0.5 (c) 0.092 (d) 0.57
15. 15.1.68 + 1.6 = ? (a) 3.18 (b) 1.84 (c) 3.38 (d) 3.28
16. 16.If 2x + 15 = 39, what is x? (a) 13 (b) 12 (c) 24 (d) 27
17. 17.Every pair follows the same rule: 4 : 10, 6 : 12, 8 : 14. What is 5 : ? (a) 12 (b) 10 (c) 11 (d) 13
18. 18.If 23 July is a Monday, what day of the week is 9 August? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
19. 19.5.26 + 6.1 = ? (a) 11.36 (b) 11.46 (c) 5.87 (d) 11.26
20. 20.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 120 sq cm (b) 23 sq cm (c) 135 sq cm (d) 46 sq cm
21. 21.If 7x + 30 = 128, what is x? (a) 15 (b) 98 (c) 13 (d) 14
22. 22.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 11 days (b) 4 days (c) 3 days (d) 2 days
23. 23.What is 1/2 of 14? (a) 6 (b) 14 (c) 8 (d) 7
24. 24.If 7 notebooks cost ₹84, how much do 8 notebooks cost? (a) ₹85 (b) ₹96 (c) ₹108 (d) ₹672
25. 25.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 150 min (b) 5 min (c) 25 min (d) 30 min
26. 26.5/6 + 2/5 = ? (a) 37/30 (b) 6/5 (c) 19/15 (d) 7/11
27. 27.Today is Monday. What day of the week will it be after 51 days? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
28. 28.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 36 sq cm (d) 81 sq cm
29. 29.Every pair follows the same rule: 5 : 29, 6 : 40, 9 : 85. What is 4 : ? (a) 28 (b) 10 (c) 21 (d) 20
30. 30.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 70 cm
31. 31.What is 15% of 680? (a) 1020 (b) 204 (c) 578 (d) 102
32. 32.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 40 cm (c) 14 cm (d) 24 cm
33. 33.What is the average of 70, 68, 83 and 55? (a) 68 (b) 92 (c) 69 (d) 70
34. 34.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 120 cm (b) 34 cm (c) 22 cm (d) 44 cm
35. 35.What is the value of the digit 2 in 23.954? (a) 0.2 (b) 20 (c) 2 (d) 0.02
36. 36.If 23 January is a Thursday, what day of the week is 10 February? (a) Sunday (b) Tuesday (c) Monday (d) Wednesday
37. 37.If 3x + 1 = 40, what is x? (a) 14 (b) 39 (c) 12 (d) 13
38. 38.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 63 (b) 57 (c) 55 (d) 10
39. 39.What is the value of the digit 1 in 73.182? (a) 1 (b) 0.01 (c) 0.001 (d) 0.1
40. 40.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 37 cm (b) 23 cm (c) 126 cm (d) 46 cm

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