Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 986 · 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 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 21 min (b) 3 min (c) 36 min (d) 108 min
2. 2.If 13 July is a Wednesday, what day of the week is 8 August? (a) Wednesday (b) Tuesday (c) Monday (d) Sunday
3. 3.Which fraction is greater: 1/5 or 1/6? (a) They are equal (b) 1/5 (c) 1/6
4. 4.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 62 sq cm (b) 31 sq cm (c) 247 sq cm (d) 228 sq cm
5. 5.Two ribbons are 24 cm and 40 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) 4 cm (c) 24 cm (d) 16 cm
6. 6.What is the remainder when 83 is divided by 3? (a) 1 (b) 0 (c) 2
7. 7.If x/2 + 14 = 16, what is x? (a) 2 (b) 18 (c) 4 (d) 60
8. 8.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 27 sq cm (b) 195 sq cm (c) 54 sq cm (d) 180 sq cm
9. 9.Which is the greatest: 0.48, 0.013, 0.4, 0.383? (a) 0.48 (b) 0.013 (c) 0.4 (d) 0.383
10. 10.What is the simple interest on ₹5500 at 3% per year for 2 years? (a) ₹495 (b) ₹5830 (c) ₹330 (d) ₹165
11. 11.What is 40% of 280? (a) 224 (b) 1120 (c) 168 (d) 112
12. 12.What is the smallest number of sweets that can be shared equally among 18 children or among 42 children, with none left over? (a) 126 (b) 756 (c) 252 (d) 60
13. 13.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 60 sq cm (d) 256 sq cm
14. 14.Which fraction is greater: 1/3 or 8/9? (a) 1/3 (b) 8/9 (c) They are equal
15. 15.If 6 July is a Monday, what day of the week is 16 July? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
16. 16.If 7x + 5 = 3x + 17, what is x? (a) 2 (b) 4 (c) 3 (d) 5
17. 17.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 49 sq cm
18. 18.In how many years will ₹5500 earn ₹495 simple interest at 3% per year? (a) 3 years (b) 6 years (c) 4 years (d) 2 years
19. 19.What is the units digit of 3^40? (a) 7 (b) 9 (c) 1 (d) 3
20. 20.If 15 October is a Thursday, what day of the week is 28 October? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
21. 21.What is the simple interest on ₹6000 at 9% per year for 3 years? (a) ₹7620 (b) ₹2160 (c) ₹1620 (d) ₹540
22. 22.What is 3/5 of 25? (a) 20 (b) 15 (c) 10 (d) 5
23. 23.If 2 notebooks cost ₹14, how much do 12 notebooks cost? (a) ₹91 (b) ₹84 (c) ₹168 (d) ₹24
24. 24.Which fraction is greater: 7/9 or 2/7? (a) 2/7 (b) 7/9 (c) They are equal
25. 25.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) 60 min (b) 2 min (c) 16 min (d) 30 min
26. 26.If 6x + 8 = 4x + 16, what is x? (a) 6 (b) 12 (c) 5 (d) 4
27. 27.What is 1/2 of 10? (a) 5 (b) 10 (c) 6 (d) 4
28. 28.Which fraction is greater: 1/7 or 5/8? (a) 1/7 (b) 5/8 (c) They are equal
29. 29.A bag marked ₹860 is sold at a 10% discount. What is its selling price? (a) ₹86 (b) ₹850 (c) ₹946 (d) ₹774
30. 30.If 7x + 13 = 97, what is x? (a) 11 (b) 13 (c) 12 (d) 84
31. 31.If 18 April is a Friday, what day of the week is 11 May? (a) Sunday (b) Saturday (c) Tuesday (d) Monday
32. 32.What is the simple interest on ₹2000 at 7% per year for 2 years? (a) ₹2280 (b) ₹420 (c) ₹280 (d) ₹140
33. 33.A shopkeeper buys a toy for ₹860 and sells it for ₹1290. What is his profit percent? (a) 51% (b) 45% (c) 55% (d) 50%
34. 34.What is 5/9 of 27? (a) 3 (b) 12 (c) 18 (d) 15
35. 35.1/4 + 2/4 = ? (a) 1 (b) 1/2 (c) 3/8 (d) 3/4
36. 36.1.34 + 6.1 = ? (a) 7.34 (b) 7.54 (c) 1.95 (d) 7.44
37. 37.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
38. 38.4 workers can build a wall in 9 days. How many days will 9 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 5 days (d) 14 days
39. 39.7.18 + 4.8 = ? (a) 11.88 (b) 11.98 (c) 7.66 (d) 12.08
40. 40.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) 30 min (b) 150 min (c) 25 min (d) 5 min

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