Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 990 · 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.Two ribbons are 24 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) 18 cm (b) 3 cm (c) 24 cm (d) 6 cm
2. 2.What is the simple interest on ₹8500 at 8% per year for 4 years? (a) ₹2720 (b) ₹680 (c) ₹3400 (d) ₹11220
3. 3.What is the smallest number of sweets that can be shared equally among 16 children or among 28 children, with none left over? (a) 44 (b) 448 (c) 224 (d) 112
4. 4.If 22 August is a Saturday, what day of the week is 7 September? (a) Wednesday (b) Sunday (c) Monday (d) Tuesday
5. 5.If 4x + 6 = 30, what is x? (a) 9 (b) 6 (c) 7 (d) 24
6. 6.Every pair follows the same rule: 2 : 2, 3 : 4, 9 : 16. What is 5 : ? (a) 5 (b) 9 (c) 7 (d) 8
7. 7.Which of these numbers is divisible by 4? (a) 2339 (b) 2332 (c) 2335 (d) 2330
8. 8.If 6x + 6 = 5x + 10, what is x? (a) 5 (b) 6 (c) 16 (d) 4
9. 9.Two ribbons are 15 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) 15 cm (b) 6 cm (c) 3 cm (d) 1 cm
10. 10.Which fraction is greater: 6/7 or 7/9? (a) They are equal (b) 7/9 (c) 6/7
11. 11.A shopkeeper buys a toy for ₹180 and sells it for ₹144. What is his loss percent? (a) 25% (b) 36% (c) 20% (d) 15%
12. 12.Every pair follows the same rule: 5 : 26, 8 : 65, 9 : 82. What is 7 : ? (a) 28 (b) 48 (c) 51 (d) 50
13. 13.3/4 + 1/2 = ? (a) 5/4 (b) 1 (c) 2/3 (d) 3/2
14. 14.What is 1/4 of 12? (a) 6 (b) 4 (c) 9 (d) 3
15. 15.What is the smallest number of sweets that can be shared equally among 6 children or among 9 children, with none left over? (a) 15 (b) 54 (c) 36 (d) 18
16. 16.8 workers can build a wall in 9 days. How many days will 6 workers take, working at the same speed? (a) 13 days (b) 11 days (c) 12 days (d) 7 days
17. 17.A shopkeeper buys a toy for ₹800 and sells it for ₹680. What is his loss percent? (a) 20% (b) 16% (c) 15% (d) 10%
18. 18.What is the average of 17, 12, 20, 26, 34 and 17? (a) 22 (b) 21 (c) 23 (d) 20
19. 19.If 10 April is a Thursday, what day of the week is 14 May? (a) Wednesday (b) Thursday (c) Tuesday (d) Friday
20. 20.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 16 sq cm (c) 42 sq cm (d) 32 sq cm
21. 21.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) 22 cm (b) 1 cm (c) 11 cm (d) 77 cm
22. 22.If 15 October is a Monday, what day of the week is 20 November? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
23. 23.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 22? (a) 38 (b) 22 (c) 18 (d) 24
24. 24.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 30 cm (c) 11 cm (d) 17 cm
25. 25.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 42 sq cm (c) 26 sq cm (d) 13 sq cm
26. 26.If x/2 + 8 = 16, what is x? (a) 24 (b) 8 (c) 48 (d) 16
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.₹9500 is invested at 8% per year simple interest. What is the amount after 2 years? (a) ₹11780 (b) ₹11020 (c) ₹10260 (d) ₹1520
29. 29.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 3 cm (c) 20 cm (d) 6 cm
30. 30.If 12 July is a Monday, what day of the week is 24 July? (a) Sunday (b) Monday (c) Saturday (d) Friday
31. 31.What is the average of all the whole numbers from 57 to 97? (a) 40 (b) 77 (c) 78 (d) 20
32. 32.₹308 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹56 (b) ₹154 (c) ₹252 (d) ₹28
33. 33.What is 1/2 of 22? (a) 11 (b) 22 (c) 12 (d) 10
34. 34.Which of these numbers is divisible by 3? (a) 1504 (b) 1500 (c) 1501 (d) 1499
35. 35.Which fraction is greater: 3/4 or 4/9? (a) 4/9 (b) They are equal (c) 3/4
36. 36.1.99 + 7.6 = ? (a) 2.75 (b) 9.49 (c) 9.59 (d) 9.69
37. 37.What is the units digit of 8^42? (a) 4 (b) 6 (c) 2 (d) 8
38. 38.Which fraction is greater: 4/5 or 5/11? (a) 5/11 (b) 4/5 (c) They are equal
39. 39.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 80 (b) 39 (c) 34 (d) 33
40. 40.₹180 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹20 (b) ₹90 (c) ₹180 (d) ₹160

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad