Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 775 · 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.₹418 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹38 (b) ₹114 (c) ₹209 (d) ₹304
2. 2.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 53 (b) 54 (c) 47 (d) 95
3. 3.Today is Sunday. What day of the week will it be after 37 days? (a) Monday (b) Tuesday (c) Wednesday (d) Thursday
4. 4.If 2 August is a Monday, what day of the week is 15 August? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
5. 5.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 38 (c) 70 (d) 94
6. 6.Every pair follows the same rule: 3 : 16, 7 : 28, 8 : 31. What is 9 : ? (a) 34 (b) 22 (c) 35 (d) 33
7. 7.If 6 kites cost ₹42, how much do 12 kites cost? (a) ₹48 (b) ₹504 (c) ₹91 (d) ₹84
8. 8.A shopkeeper buys a toy for ₹700 and sells it for ₹595. What is his loss percent? (a) 20% (b) 10% (c) 15% (d) 16%
9. 9.What is the value of the digit 1 in 43.681? (a) 1 (b) 0.01 (c) 0.001 (d) 0.1
10. 10.Which of these numbers is divisible by 3? (a) 833 (b) 839 (c) 836 (d) 834
11. 11.Which fraction is greater: 11/12 or 6/7? (a) 6/7 (b) They are equal (c) 11/12
12. 12.If 13 May is a Wednesday, what day of the week is 28 May? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
13. 13.A shopkeeper buys a toy for ₹220 and sells it for ₹209. What is his loss percent? (a) 11% (b) 6% (c) 5% (d) 10%
14. 14.What is 1/2 of 18? (a) 10 (b) 9 (c) 8 (d) 18
15. 15.8 workers can build a wall in 5 days. How many days will 4 workers take, working at the same speed? (a) 1 day (b) 10 days (c) 11 days (d) 9 days
16. 16.What is the average of 34, 27, 33 and 10? (a) 28 (b) 27 (c) 25 (d) 26
17. 17.What is the smallest number you must add to 134 to make it divisible by 9? (a) 1 (b) 8 (c) 3 (d) 2
18. 18.Every pair follows the same rule: 2 : 21, 3 : 22, 7 : 26. What is 5 : ? (a) 25 (b) 23 (c) 26 (d) 24
19. 19.If x/6 + 14 = 17, what is x? (a) 3 (b) 88 (c) 18 (d) 186
20. 20.Every pair follows the same rule: 3 : 8, 4 : 9, 9 : 14. What is 5 : ? (a) 10 (b) 12 (c) 9 (d) 11
21. 21.In how many years will ₹5500 earn ₹3025 simple interest at 11% per year? (a) 6 years (b) 4 years (c) 5 years (d) 10 years
22. 22.Two ribbons are 30 cm and 42 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) 30 cm (c) 6 cm (d) 3 cm
23. 23.Which fraction is greater: 3/7 or 1/4? (a) 1/4 (b) 3/7 (c) They are equal
24. 24.9 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 10 days (b) 11 days (c) 8 days (d) 9 days
25. 25.What is 2/7 of 42? (a) 30 (b) 18 (c) 12 (d) 6
26. 26.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) 10 min (b) 24 min (c) 12 min (d) 2 min
27. 27.A shopkeeper buys a toy for ₹400 and sells it for ₹380. What is his loss percent? (a) 6% (b) 5% (c) 20% (d) 10%
28. 28.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 27 (b) 84 (c) 126 (d) 42
29. 29.If 6 October is a Thursday, what day of the week is 14 October? (a) Sunday (b) Thursday (c) Friday (d) Saturday
30. 30.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 30 cm (c) 4 cm (d) 3 cm
31. 31.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 22 cm (c) 11 cm (d) 12 cm
32. 32.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 18 cm (b) 3 cm (c) 4 cm (d) 6 cm
33. 33.Every pair follows the same rule: 2 : 10, 4 : 20, 6 : 30. What is 7 : ? (a) 15 (b) 34 (c) 35 (d) 36
34. 34.Two ribbons are 15 cm and 40 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 25 cm (b) 5 cm (c) 1 cm (d) 15 cm
35. 35.Every pair follows the same rule: 2 : 9, 7 : 34, 8 : 39. What is 9 : ? (a) 43 (b) 16 (c) 44 (d) 45
36. 36.4 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 14 days (b) 24 days (c) 6 days (d) 10 days
37. 37.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
38. 38.If 9 kites cost ₹180, how much do 2 kites cost? (a) ₹60 (b) ₹360 (c) ₹40 (d) ₹173
39. 39.Two ribbons are 14 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) 4 cm (b) 14 cm (c) 1 cm (d) 2 cm
40. 40.Today is Sunday. What day of the week will it be after 25 days? (a) Thursday (b) Saturday (c) Friday (d) Wednesday

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