Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 318 · 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.If 7 January is a Tuesday, what day of the week is 16 January? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
2. 2.₹189 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹21 (b) ₹126 (c) ₹84 (d) ₹105
3. 3.A bag marked ₹1080 is sold at a 10% discount. What is its selling price? (a) ₹1070 (b) ₹108 (c) ₹972 (d) ₹1188
4. 4.The simple interest on ₹10000 for 2 years is ₹600. What is the rate per year? (a) 2% (b) 6% (c) 3% (d) 4%
5. 5.What is 20% of 80? (a) 32 (b) 16 (c) 64 (d) 160
6. 6.A shopkeeper buys a toy for ₹940 and sells it for ₹846. What is his loss percent? (a) 15% (b) 10% (c) 94% (d) 5%
7. 7.What is the smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 24 (b) 25 (c) 14 (d) 48
8. 8.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
9. 9.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 45 (b) 20 (c) 22 (d) 19
10. 10.If 5x − 2 = 13, what is x? (a) 2 (b) 3 (c) 15 (d) 4
11. 11.What is the remainder when 218 is divided by 3? (a) 1 (b) 0 (c) 2
12. 12.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 128 cm (b) 10 cm (c) 18 cm (d) 9 cm
13. 13.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 48 cm (c) 10 cm (d) 5 cm
14. 14.What is the remainder when 754 is divided by 10? (a) 6 (b) 4 (c) 3 (d) 5
15. 15.Which of these numbers is divisible by 8? (a) 3693 (b) 3688 (c) 3687 (d) 3697
16. 16.What is the average of 75, 63, 51, 51, 53 and 67? (a) 72 (b) 59 (c) 61 (d) 60
17. 17.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 41 (b) 21 (c) 25 (d) 5
18. 18.The simple interest on ₹1500 for 5 years is ₹150. What is the rate per year? (a) 10% (b) 1% (c) 2% (d) 3%
19. 19.What is the simple interest on ₹2000 at 6% per year for 2 years? (a) ₹360 (b) ₹2240 (c) ₹240 (d) ₹120
20. 20.If 19 September is a Wednesday, what day of the week is 19 October? (a) Sunday (b) Saturday (c) Friday (d) Thursday
21. 21.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 40 (b) 6 (c) 35 (d) 69
22. 22.Two ribbons are 18 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) 24 cm (b) 3 cm (c) 18 cm (d) 6 cm
23. 23.Which fraction is greater: 2/7 or 3/4? (a) 2/7 (b) 3/4 (c) They are equal
24. 24.If 6 October is a Thursday, what day of the week is 19 October? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
25. 25.What is the average of 27, 45, 29, 48 and 51? (a) 40 (b) 39 (c) 50 (d) 41
26. 26.Two ribbons are 12 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) 3 cm (d) 6 cm
27. 27.Every pair follows the same rule: 2 : 4, 4 : 16, 8 : 64. What is 9 : ? (a) 76 (b) 18 (c) 11 (d) 81
28. 28.₹7500 is invested at 11% per year simple interest. What is the amount after 5 years? (a) ₹8325 (b) ₹4125 (c) ₹12450 (d) ₹11625
29. 29.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 25 (b) 12 (c) 5 (d) 6
30. 30.A bag marked ₹560 is sold at a 15% discount. What is its selling price? (a) ₹545 (b) ₹84 (c) ₹476 (d) ₹644
31. 31.₹200 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹100 (b) ₹200 (c) ₹25 (d) ₹175
32. 32.Every pair follows the same rule: 2 : 3, 7 : 18, 8 : 21. What is 9 : ? (a) 24 (b) 23 (c) 25 (d) 10
33. 33.Today is Sunday. What day of the week will it be after 28 days? (a) Sunday (b) Tuesday (c) Saturday (d) Monday
34. 34.What is the average of 49, 43, 37, 60 and 66? (a) 53 (b) 51 (c) 52 (d) 50
35. 35.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 20 cm (c) 26 cm (d) 13 cm
36. 36.What is the average of 60, 85, 60, 79, 59 and 101? (a) 75 (b) 76 (c) 74 (d) 73
37. 37.Every pair follows the same rule: 2 : 4, 7 : 49, 8 : 64. What is 5 : ? (a) 19 (b) 25 (c) 7 (d) 10
38. 38.What is 20% of 540? (a) 216 (b) 108 (c) 432 (d) 1080
39. 39.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 7 cm (c) 114 cm (d) 14 cm
40. 40.Every pair follows the same rule: 6 : 16, 8 : 22, 9 : 25. What is 7 : ? (a) 19 (b) 20 (c) 18 (d) 17

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