Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 629 · 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.What is 5% of 640? (a) 608 (b) 32 (c) 320 (d) 64
2. 2.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 84 cm (b) 19 cm (c) 38 cm (d) 31 cm
3. 3.Two ribbons are 30 cm and 35 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 30 cm (c) 210 cm (d) 5 cm
4. 4.What is the simple interest on ₹1500 at 9% per year for 2 years? (a) ₹270 (b) ₹135 (c) ₹1770 (d) ₹405
5. 5.Every pair follows the same rule: 5 : 13, 6 : 17, 7 : 21. What is 8 : ? (a) 24 (b) 16 (c) 26 (d) 25
6. 6.A bag marked ₹1440 is sold at a 40% discount. What is its selling price? (a) ₹864 (b) ₹1400 (c) ₹576 (d) ₹2016
7. 7.Which is the greatest: 0.21, 0.2, 0.157, 0.069? (a) 0.21 (b) 0.2 (c) 0.157 (d) 0.069
8. 8.If 5x + 17 = 2x + 38, what is x? (a) 8 (b) 7 (c) 3 (d) 9
9. 9.Two bells ring every 16 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 112 min (b) 44 min (c) 4 min (d) 448 min
10. 10.Every pair follows the same rule: 2 : 11, 6 : 43, 9 : 88. What is 8 : ? (a) 17 (b) 72 (c) 71 (d) 73
11. 11.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 135 cm
12. 12.What is the average of all the whole numbers from 33 to 45? (a) 40 (b) 6 (c) 39 (d) 12
13. 13.A teacher has 8 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 8 (c) 28 (d) 4
14. 14.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 57 (c) 89 (d) 48
15. 15.What is the average of all the whole numbers from 44 to 66? (a) 55 (b) 22 (c) 11 (d) 56
16. 16.Today is Monday. What day of the week will it be after 80 days? (a) Thursday (b) Friday (c) Wednesday (d) Saturday
17. 17.What is 3/5 of 40? (a) 32 (b) 16 (c) 24 (d) 8
18. 18.What is 10% of 660? (a) 594 (b) 660 (c) 66 (d) 132
19. 19.Two ribbons are 42 cm and 49 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 294 cm (b) 42 cm (c) 1 cm (d) 7 cm
20. 20.Which fraction is greater: 5/9 or 2/5? (a) 5/9 (b) 2/5 (c) They are equal
21. 21.What is the simple interest on ₹9000 at 9% per year for 3 years? (a) ₹3240 (b) ₹810 (c) ₹2430 (d) ₹11430
22. 22.The simple interest on ₹6000 for 4 years is ₹960. What is the rate per year? (a) 5% (b) 3% (c) 16% (d) 4%
23. 23.If 7x − 8 = 6, what is x? (a) 1 (b) 14 (c) 3 (d) 2
24. 24.If 18 March is a Wednesday, what day of the week is 1 April? (a) Thursday (b) Wednesday (c) Friday (d) Tuesday
25. 25.What is the average of all the whole numbers from 54 to 66? (a) 60 (b) 61 (c) 6 (d) 12
26. 26.What is the value of the digit 1 in 58.213? (a) 0.01 (b) 0.001 (c) 1 (d) 0.1
27. 27.If 5x + 26 = 86, what is x? (a) 13 (b) 60 (c) 11 (d) 12
28. 28.If x/2 + 2 = 8, what is x? (a) 12 (b) 14 (c) 6 (d) 20
29. 29.If 22 August is a Friday, what day of the week is 10 September? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
30. 30.If 5 kites cost ₹25, how much do 2 kites cost? (a) ₹22 (b) ₹10 (c) ₹15 (d) ₹50
31. 31.Two ribbons are 40 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 40 cm (b) 4 cm (c) 32 cm (d) 8 cm
32. 32.What is the units digit of 8^20? (a) 8 (b) 6 (c) 2 (d) 4
33. 33.If 8 kites cost ₹88, how much do 12 kites cost? (a) ₹92 (b) ₹132 (c) ₹1056 (d) ₹143
34. 34.A bag marked ₹480 is sold at a 25% discount. What is its selling price? (a) ₹455 (b) ₹120 (c) ₹360 (d) ₹600
35. 35.1/2 + 3/8 = ? (a) 7/8 (b) 2/5 (c) 1 (d) 3/4
36. 36.A bag marked ₹2000 is sold at a 15% discount. What is its selling price? (a) ₹300 (b) ₹1700 (c) ₹1985 (d) ₹2300
37. 37.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 10 cm (c) 16 cm (d) 24 cm
38. 38.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 18 sq cm (c) 24 sq cm (d) 9 sq cm
39. 39.What is the simple interest on ₹8000 at 10% per year for 3 years? (a) ₹800 (b) ₹3200 (c) ₹2400 (d) ₹10400
40. 40.What is the remainder when 713 is divided by 10? (a) 7 (b) 3 (c) 4 (d) 2

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