Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 365 · 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. 1.8.36 + 4.6 = ? (a) 12.96 (b) 8.82 (c) 13.06 (d) 12.86
2. 2.The simple interest on ₹10000 for 3 years is ₹2100. What is the rate per year? (a) 7% (b) 8% (c) 6% (d) 21%
3. 3.What is the remainder when 159 is divided by 8? (a) 6 (b) 7 (c) 5 (d) 1
4. 4.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 70 min (c) 350 min (d) 45 min
5. 5.If 6 March is a Tuesday, what day of the week is 16 March? (a) Friday (b) Sunday (c) Saturday (d) Thursday
6. 6.Two bells ring every 20 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 480 min (b) 44 min (c) 4 min (d) 120 min
7. 7.Which is the greatest: 0.656, 0.75, 0.026, 0.7? (a) 0.656 (b) 0.75 (c) 0.026 (d) 0.7
8. 8.What is the average of 71, 81, 69, 60, 85 and 78? (a) 74 (b) 73 (c) 76 (d) 75
9. 9.What is the average of 77, 83, 88, 71 and 71? (a) 78 (b) 77 (c) 79 (d) 80
10. 10.If 3x − 34 = 8, what is x? (a) 14 (b) 13 (c) 15 (d) 42
11. 11.Which is the smallest: 0.539, 0.61, 0.011, 0.6? (a) 0.539 (b) 0.61 (c) 0.011 (d) 0.6
12. 12.What is the smallest number of sweets that can be shared equally among 24 children or among 30 children, with none left over? (a) 54 (b) 240 (c) 720 (d) 120
13. 13.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 112 cm (c) 9 cm (d) 16 cm
14. 14.If 3x − 2 = 16, what is x? (a) 7 (b) 18 (c) 5 (d) 6
15. 15.2/6 + 1/8 = ? (a) 1/2 (b) 11/24 (c) 3/14 (d) 5/12
16. 16.If 31 May is a Monday, what day of the week is 5 June? (a) Sunday (b) Monday (c) Friday (d) Saturday
17. 17.If 6 notebooks cost ₹126, how much do 4 notebooks cost? (a) ₹105 (b) ₹504 (c) ₹84 (d) ₹124
18. 18.Two bells ring every 16 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 320 min (c) 36 min (d) 80 min
19. 19.Which fraction is greater: 1/4 or 1/3? (a) 1/4 (b) 1/3 (c) They are equal
20. 20.A shopkeeper buys a toy for ₹300 and sells it for ₹270. What is his loss percent? (a) 15% (b) 5% (c) 30% (d) 10%
21. 21.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 100 sq cm (d) 40 sq cm
22. 22.Which of these numbers is divisible by 11? (a) 9332 (b) 9328 (c) 9343 (d) 9327
23. 23.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 152 sq cm (b) 27 sq cm (c) 54 sq cm (d) 171 sq cm
24. 24.Every pair follows the same rule: 4 : 19, 6 : 39, 7 : 52. What is 8 : ? (a) 23 (b) 67 (c) 65 (d) 68
25. 25.If 14 November is a Sunday, what day of the week is 3 December? (a) Friday (b) Thursday (c) Saturday (d) Sunday
26. 26.What is 6/7 of 21? (a) 21 (b) 18 (c) 19 (d) 3
27. 27.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 104 cm (c) 9 cm (d) 10 cm
28. 28.What is the smallest number of sweets that can be shared equally among 12 children or among 28 children, with none left over? (a) 168 (b) 40 (c) 84 (d) 336
29. 29.Two ribbons are 50 cm and 70 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 10 cm (c) 50 cm (d) 20 cm
30. 30.Two bells ring every 6 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 30 min (c) 16 min (d) 60 min
31. 31.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 21 cm
32. 32.Which fraction is greater: 1/4 or 6/7? (a) 6/7 (b) They are equal (c) 1/4
33. 33.What is the smallest number of sweets that can be shared equally among 15 children or among 18 children, with none left over? (a) 180 (b) 90 (c) 33 (d) 270
34. 34.A batter has an average of 40 runs in 7 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 52 (c) 48 (d) 88
35. 35.What is 15% of 180? (a) 27 (b) 153 (c) 270 (d) 54
36. 36.Which fraction is greater: 5/8 or 8/9? (a) They are equal (b) 8/9 (c) 5/8
37. 37.A teacher has 40 pencils and 50 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 5 (c) 40 (d) 200
38. 38.In how many years will ₹2000 earn ₹400 simple interest at 4% per year? (a) 10 years (b) 5 years (c) 6 years (d) 4 years
39. 39.A shopkeeper buys a toy for ₹180 and sells it for ₹225. What is his profit percent? (a) 25% (b) 20% (c) 30% (d) 45%
40. 40.If 5 January is a Monday, what day of the week is 16 January? (a) Thursday (b) Saturday (c) Sunday (d) Friday

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