Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 834 · 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.₹243 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹162 (b) ₹135 (c) ₹27 (d) ₹108
2. 2.Which is the smallest: 0.32, 0.232, 0.3, 0.065? (a) 0.32 (b) 0.232 (c) 0.3 (d) 0.065
3. 3.What is the smallest number of sweets that can be shared equally among 20 children or among 25 children, with none left over? (a) 100 (b) 200 (c) 500 (d) 45
4. 4.5 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 35 days (c) 36 days (d) 17 days
5. 5.In how many years will ₹9500 earn ₹950 simple interest at 5% per year? (a) 2 years (b) 3 years (c) 4 years (d) 1 year
6. 6.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 40 sq cm (d) 48 sq cm
7. 7.What is the average of all the whole numbers from 8 to 14? (a) 3 (b) 6 (c) 12 (d) 11
8. 8.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 35 (b) 104 (c) 34 (d) 50
9. 9.If 4x + 17 = 49, what is x? (a) 9 (b) 32 (c) 7 (d) 8
10. 10.1/3 + 2/4 = ? (a) 11/12 (b) 3/7 (c) 5/6 (d) 3/4
11. 11.Today is Wednesday. What day of the week will it be after 45 days? (a) Monday (b) Sunday (c) Friday (d) Saturday
12. 12.Every pair follows the same rule: 2 : 4, 6 : 12, 7 : 14. What is 9 : ? (a) 19 (b) 18 (c) 11 (d) 17
13. 13.A bag marked ₹520 is sold at a 40% discount. What is its selling price? (a) ₹480 (b) ₹208 (c) ₹728 (d) ₹312
14. 14.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 62 (b) 32 (c) 38 (d) 34
15. 15.What is the remainder when 681 is divided by 9? (a) 6 (b) 7 (c) 5 (d) 3
16. 16.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
17. 17.A teacher has 48 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 8 (b) 4 (c) 336 (d) 48
18. 18.Which is the greatest: 0.012, 0.511, 0.69, 0.6? (a) 0.012 (b) 0.511 (c) 0.69 (d) 0.6
19. 19.Two ribbons are 20 cm and 90 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 70 cm (b) 10 cm (c) 5 cm (d) 20 cm
20. 20.What is 3/5 of 45? (a) 9 (b) 18 (c) 36 (d) 27
21. 21.₹145 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹58 (b) ₹29 (c) ₹116 (d) ₹87
22. 22.Which of these numbers is divisible by 9? (a) 5051 (b) 5049 (c) 5045 (d) 5066
23. 23.The simple interest on ₹2500 for 4 years is ₹600. What is the rate per year? (a) 7% (b) 6% (c) 24% (d) 5%
24. 24.If 13 March is a Sunday, what day of the week is 28 March? (a) Wednesday (b) Sunday (c) Tuesday (d) Monday
25. 25.In how many years will ₹8000 earn ₹960 simple interest at 3% per year? (a) 3 years (b) 5 years (c) 8 years (d) 4 years
26. 26.If x/3 + 3 = 8, what is x? (a) 21 (b) 15 (c) 5 (d) 33
27. 27.Every pair follows the same rule: 3 : 15, 5 : 25, 9 : 45. What is 8 : ? (a) 40 (b) 20 (c) 39 (d) 41
28. 28.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 20 (c) 60 (d) 48
29. 29.What is the average of all the whole numbers from 9 to 15? (a) 13 (b) 6 (c) 3 (d) 12
30. 30.Which is the smallest: 0.28, 0.059, 0.162, 0.2? (a) 0.28 (b) 0.059 (c) 0.162 (d) 0.2
31. 31.4 workers can build a wall in 6 days. How many days will 8 workers take, working at the same speed? (a) 3 days (b) 10 days (c) 12 days (d) 2 days
32. 32.Two ribbons are 6 cm and 16 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 1 cm (c) 6 cm (d) 2 cm
33. 33.What is the smallest number you must add to 113 to make it divisible by 5? (a) 4 (b) 2 (c) 3 (d) 1
34. 34.If 5x − 15 = 55, what is x? (a) 14 (b) 70 (c) 8 (d) 15
35. 35.If 9 notebooks cost ₹63, how much do 2 notebooks cost? (a) ₹126 (b) ₹21 (c) ₹14 (d) ₹56
36. 36.If 6x + 4 = 52, what is x? (a) 8 (b) 9 (c) 7 (d) 48
37. 37.Two ribbons are 15 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) 5 cm (b) 20 cm (c) 15 cm (d) 1 cm
38. 38.A teacher has 20 pencils and 70 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 20 (b) 5 (c) 10 (d) 50
39. 39.Every pair follows the same rule: 3 : 9, 5 : 25, 9 : 81. What is 6 : ? (a) 12 (b) 18 (c) 39 (d) 36
40. 40.If x/2 + 5 = 14, what is x? (a) 23 (b) 9 (c) 18 (d) 38

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