Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 378 · 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 15 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 90 cm (b) 1 cm (c) 15 cm (d) 3 cm
2. 2.Every pair follows the same rule: 2 : 16, 6 : 48, 8 : 64. What is 3 : ? (a) 25 (b) 24 (c) 17 (d) 23
3. 3.What is the smallest number you must add to 389 to make it divisible by 5? (a) 2 (b) 4 (c) 3 (d) 1
4. 4.What is the smallest number of sweets that can be shared equally among 15 children or among 20 children, with none left over? (a) 300 (b) 35 (c) 60 (d) 120
5. 5.Every pair follows the same rule: 2 : 11, 3 : 16, 7 : 36. What is 6 : ? (a) 15 (b) 31 (c) 32 (d) 30
6. 6.A shopkeeper buys a toy for ₹540 and sells it for ₹702. What is his profit percent? (a) 35% (b) 30% (c) 25% (d) 31%
7. 7.In how many years will ₹10000 earn ₹2500 simple interest at 5% per year? (a) 6 years (b) 10 years (c) 5 years (d) 4 years
8. 8.₹5500 is invested at 2% per year simple interest. What is the amount after 4 years? (a) ₹5940 (b) ₹6050 (c) ₹440 (d) ₹5610
9. 9.If 5x + 20 = 4x + 26, what is x? (a) 6 (b) 8 (c) 46 (d) 7
10. 10.What is the average of 30, 15, 36, 35 and 4? (a) 30 (b) 24 (c) 25 (d) 23
11. 11.5.81 + 8.7 = ? (a) 6.68 (b) 14.51 (c) 14.41 (d) 14.61
12. 12.Two ribbons are 60 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) 12 cm (b) 60 cm (c) 48 cm (d) 6 cm
13. 13.If 11 April is a Wednesday, what day of the week is 19 May? (a) Sunday (b) Monday (c) Friday (d) Saturday
14. 14.What is the remainder when 169 is divided by 7? (a) 2 (b) 1 (c) 6 (d) 0
15. 15.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
16. 16.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 42 sq cm (d) 28 sq cm
17. 17.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 42 (b) 62 (c) 97 (d) 69
18. 18.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 30 cm
19. 19.The simple interest on ₹9500 for 5 years is ₹950. What is the rate per year? (a) 3% (b) 2% (c) 1% (d) 10%
20. 20.A bag marked ₹1700 is sold at a 30% discount. What is its selling price? (a) ₹1190 (b) ₹510 (c) ₹1670 (d) ₹2210
21. 21.A shopkeeper buys a toy for ₹540 and sells it for ₹432. What is his loss percent? (a) 25% (b) 20% (c) 15% (d) 21%
22. 22.What is the smallest number of sweets that can be shared equally among 15 children or among 35 children, with none left over? (a) 105 (b) 210 (c) 50 (d) 525
23. 23.4/9 + 1/2 = ? (a) 5/11 (b) 1 (c) 8/9 (d) 17/18
24. 24.Which fraction is greater: 6/7 or 1/11? (a) They are equal (b) 6/7 (c) 1/11
25. 25.If 8 kites cost ₹192, how much do 3 kites cost? (a) ₹576 (b) ₹187 (c) ₹96 (d) ₹72
26. 26.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 26? (a) 31 (b) 50 (c) 26 (d) 71
27. 27.If 4x − 7 = 17, what is x? (a) 6 (b) 7 (c) 24 (d) 5
28. 28.If 6 March is a Sunday, what day of the week is 18 March? (a) Thursday (b) Friday (c) Saturday (d) Sunday
29. 29.What is the smallest number of sweets that can be shared equally among 18 children or among 30 children, with none left over? (a) 540 (b) 180 (c) 90 (d) 48
30. 30.₹8500 is invested at 5% per year simple interest. What is the amount after 4 years? (a) ₹1700 (b) ₹10200 (c) ₹8925 (d) ₹10625
31. 31.What is the value of the digit 6 in 26.534? (a) 0.06 (b) 60 (c) 0.6 (d) 6
32. 32.In how many years will ₹5000 earn ₹450 simple interest at 3% per year? (a) 2 years (b) 3 years (c) 4 years (d) 6 years
33. 33.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 70 sq cm (b) 84 sq cm (c) 38 sq cm (d) 19 sq cm
34. 34.What is 3/5 of 55? (a) 33 (b) 44 (c) 22 (d) 11
35. 35.What is the value of the digit 4 in 41.629? (a) 0.4 (b) 4 (c) 40 (d) 0.04
36. 36.What is the smallest number you must add to 460 to make it divisible by 12? (a) 4 (b) 7 (c) 9 (d) 8
37. 37.If 7 January is a Monday, what day of the week is 18 January? (a) Sunday (b) Thursday (c) Saturday (d) Friday
38. 38.What is the smallest number of sweets that can be shared equally among 12 children or among 18 children, with none left over? (a) 216 (b) 30 (c) 36 (d) 72
39. 39.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 21 cm
40. 40.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 24 (b) 96 (c) 48 (d) 20

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