Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 348 · 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.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 41 cm (d) 144 cm
2. 2.What is 40% of 280? (a) 224 (b) 1120 (c) 168 (d) 112
3. 3.If 9 notebooks cost ₹225, how much do 2 notebooks cost? (a) ₹218 (b) ₹50 (c) ₹450 (d) ₹75
4. 4.₹196 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹28 (b) ₹98 (c) ₹112 (d) ₹84
5. 5.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
6. 6.Two ribbons are 20 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) 15 cm (b) 20 cm (c) 5 cm (d) 1 cm
7. 7.If 4x − 25 = 23, what is x? (a) 48 (b) 11 (c) 13 (d) 12
8. 8.₹180 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹162 (b) ₹90 (c) ₹180 (d) ₹18
9. 9.What is the average of all the whole numbers from 53 to 59? (a) 6 (b) 3 (c) 56 (d) 57
10. 10.A shopkeeper buys a toy for ₹220 and sells it for ₹209. What is his loss percent? (a) 5% (b) 10% (c) 11% (d) 6%
11. 11.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
12. 12.Which is the smallest: 0.74, 0.7, 0.662, 0.054? (a) 0.74 (b) 0.7 (c) 0.662 (d) 0.054
13. 13.What is the average of 45, 64, 57, 67 and 62? (a) 60 (b) 61 (c) 58 (d) 59
14. 14.If 4x + 12 = 3x + 17, what is x? (a) 6 (b) 7 (c) 29 (d) 5
15. 15.Two ribbons are 20 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 120 cm (b) 20 cm (c) 4 cm (d) 2 cm
16. 16.Today is Sunday. What day of the week will it be after 23 days? (a) Monday (b) Tuesday (c) Thursday (d) Wednesday
17. 17.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 38 sq cm (b) 91 sq cm (c) 78 sq cm (d) 19 sq cm
18. 18.What is the simple interest on ₹9000 at 2% per year for 4 years? (a) ₹9720 (b) ₹900 (c) ₹180 (d) ₹720
19. 19.Every pair follows the same rule: 3 : 12, 4 : 19, 9 : 84. What is 8 : ? (a) 17 (b) 71 (c) 32 (d) 67
20. 20.Which of these numbers is divisible by 4? (a) 2817 (b) 2820 (c) 2827 (d) 2821
21. 21.What is the smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 14 (b) 48 (c) 25 (d) 24
22. 22.What is the smallest number of sweets that can be shared equally among 6 children or among 14 children, with none left over? (a) 43 (b) 20 (c) 42 (d) 84
23. 23.In how many years will ₹5000 earn ₹500 simple interest at 5% per year? (a) 1 year (b) 2 years (c) 4 years (d) 3 years
24. 24.6.85 + 7.1 = ? (a) 14.05 (b) 13.85 (c) 7.56 (d) 13.95
25. 25.A bag marked ₹1260 is sold at a 25% discount. What is its selling price? (a) ₹1575 (b) ₹315 (c) ₹1235 (d) ₹945
26. 26.If 8 kites cost ₹120, how much do 2 kites cost? (a) ₹114 (b) ₹45 (c) ₹240 (d) ₹30
27. 27.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 52 sq cm (d) 26 sq cm
28. 28.If 4x + 17 = 3x + 26, what is x? (a) 11 (b) 43 (c) 10 (d) 9
29. 29.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 35 (b) 49 (c) 19 (d) 33
30. 30.1/2 + 2/6 = ? (a) 3/8 (b) 1 (c) 2/3 (d) 5/6
31. 31.If 7 July is a Thursday, what day of the week is 19 July? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
32. 32.Today is Monday. What day of the week will it be after 94 days? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
33. 33.What is the value of the digit 1 in 91.378? (a) 0.01 (b) 1 (c) 10 (d) 0.1
34. 34.What is 1/3 of 15? (a) 4 (b) 6 (c) 10 (d) 5
35. 35.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 24 (b) 36 (c) 75 (d) 25
36. 36.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 2 min (c) 10 min (d) 12 min
37. 37.In how many years will ₹6000 earn ₹1320 simple interest at 11% per year? (a) 1 year (b) 2 years (c) 4 years (d) 3 years
38. 38.What is the smallest number you must add to 575 to make it divisible by 10? (a) 4 (b) 7 (c) 5 (d) 6
39. 39.What is 5/8 of 48? (a) 36 (b) 30 (c) 18 (d) 6
40. 40.If 4x − 23 = 17, what is x? (a) 11 (b) 40 (c) 9 (d) 10

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