Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 999 · 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 fraction is greater: 2/3 or 4/9? (a) 2/3 (b) 4/9 (c) They are equal
2. 2.Two ribbons are 22 cm and 99 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) 22 cm (c) 11 cm (d) 77 cm
3. 3.Every pair follows the same rule: 6 : 26, 7 : 30, 9 : 38. What is 8 : ? (a) 34 (b) 28 (c) 35 (d) 33
4. 4.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 4 cm (c) 8 cm (d) 3 cm
5. 5.6 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 24 days (b) 12 days (c) 4 days (d) 25 days
6. 6.If 9x + 8 = 2x + 71, what is x? (a) 9 (b) 11 (c) 8 (d) 10
7. 7.Two ribbons are 16 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) 4 cm (b) 8 cm (c) 56 cm (d) 16 cm
8. 8.3.88 + 9.8 = ? (a) 13.78 (b) 13.58 (c) 4.86 (d) 13.68
9. 9.If 2x − 15 = 3, what is x? (a) 8 (b) 18 (c) 9 (d) 10
10. 10.If 7x + 25 = 116, what is x? (a) 14 (b) 13 (c) 12 (d) 91
11. 11.Which fraction is greater: 1/5 or 1/9? (a) They are equal (b) 1/9 (c) 1/5
12. 12.A bag marked ₹540 is sold at a 10% discount. What is its selling price? (a) ₹54 (b) ₹530 (c) ₹486 (d) ₹594
13. 13.If 21 November is a Sunday, what day of the week is 3 December? (a) Sunday (b) Friday (c) Thursday (d) Saturday
14. 14.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 9 cm (c) 16 cm (d) 18 cm
15. 15.A shopkeeper buys a toy for ₹840 and sells it for ₹714. What is his loss percent? (a) 20% (b) 16% (c) 15% (d) 10%
16. 16.The simple interest on ₹8500 for 5 years is ₹2125. What is the rate per year? (a) 6% (b) 4% (c) 25% (d) 5%
17. 17.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) 5 min (b) 750 min (c) 150 min (d) 55 min
18. 18.The simple interest on ₹9000 for 3 years is ₹1890. What is the rate per year? (a) 8% (b) 6% (c) 21% (d) 7%
19. 19.Which of these numbers is divisible by 9? (a) 6985 (b) 7004 (c) 6993 (d) 6995
20. 20.Every pair follows the same rule: 2 : 8, 4 : 64, 5 : 125. What is 1 : ? (a) 7 (b) 2 (c) 1 (d) 4
21. 21.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 80 (b) 20 (c) 58 (d) 42
22. 22.If x/4 + 12 = 23, what is x? (a) 44 (b) 80 (c) 11 (d) 140
23. 23.If 4x + 24 = 72, what is x? (a) 24 (b) 13 (c) 12 (d) 48
24. 24.If 9 kites cost ₹108, how much do 7 kites cost? (a) ₹84 (b) ₹106 (c) ₹96 (d) ₹756
25. 25.If 28 October is a Monday, what day of the week is 7 November? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
26. 26.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 27 sq cm
27. 27.Today is Thursday. What day of the week will it be after 55 days? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
28. 28.3 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 6 days (b) 10 days (c) 7 days (d) 18 days
29. 29.A teacher has 14 pencils and 49 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 7 (b) 1 (c) 14 (d) 35
30. 30.Every pair follows the same rule: 2 : 4, 5 : 25, 8 : 64. What is 7 : ? (a) 14 (b) 51 (c) 9 (d) 49
31. 31.What is 3/7 of 84? (a) 12 (b) 48 (c) 36 (d) 37
32. 32.Two ribbons are 9 cm and 21 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 9 cm (b) 1 cm (c) 12 cm (d) 3 cm
33. 33.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 150 (b) 30 (c) 60 (d) 25
34. 34.Every pair follows the same rule: 2 : 5, 7 : 10, 9 : 12. What is 5 : ? (a) 9 (b) 7 (c) 8 (d) 10
35. 35.What is the remainder when 104 is divided by 5? (a) 2 (b) 1 (c) 3 (d) 4
36. 36.What is the smallest number you must add to 113 to make it divisible by 7? (a) 5 (b) 1 (c) 4 (d) 6
37. 37.Every pair follows the same rule: 1 : 1, 3 : 27, 6 : 216. What is 2 : ? (a) 9 (b) 2 (c) 7 (d) 8
38. 38.Which is the greatest: 0.47, 0.352, 0.4, 0.033? (a) 0.47 (b) 0.352 (c) 0.4 (d) 0.033
39. 39.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 24 (b) 18 (c) 49 (d) 17
40. 40.What is the smallest number you must add to 493 to make it divisible by 9? (a) 2 (b) 3 (c) 1 (d) 7

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