Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 607 · 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 9 October is a Tuesday, what day of the week is 18 October? (a) Saturday (b) Friday (c) Thursday (d) Wednesday
2. 2.What is the value of the digit 1 in 41.287? (a) 0.1 (b) 0.01 (c) 10 (d) 1
3. 3.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 88 (b) 42 (c) 19 (d) 18
4. 4.What is the average of 44, 56, 42, 39, 39 and 68? (a) 50 (b) 48 (c) 47 (d) 49
5. 5.₹112 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹42 (b) ₹70 (c) ₹14 (d) ₹56
6. 6.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
7. 7.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 256 sq cm (d) 60 sq cm
8. 8.A bag marked ₹380 is sold at a 30% discount. What is its selling price? (a) ₹494 (b) ₹114 (c) ₹266 (d) ₹350
9. 9.₹216 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹108 (b) ₹96 (c) ₹24 (d) ₹120
10. 10.Today is Saturday. What day of the week will it be after 75 days? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
11. 11.A shopkeeper buys a toy for ₹960 and sells it for ₹1104. What is his profit percent? (a) 15% (b) 20% (c) 10% (d) 16%
12. 12.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
13. 13.1/6 + 1/3 = ? (a) 1/2 (b) 1/3 (c) 2/3 (d) 2/9
14. 14.What is the average of all the whole numbers from 35 to 59? (a) 12 (b) 48 (c) 47 (d) 24
15. 15.If 6x + 6 = 60, what is x? (a) 54 (b) 11 (c) 9 (d) 10
16. 16.Two ribbons are 12 cm and 15 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 3 cm (c) 60 cm (d) 12 cm
17. 17.What is the remainder when 172 is divided by 12? (a) 3 (b) 4 (c) 8 (d) 5
18. 18.Which fraction is greater: 1/5 or 7/9? (a) They are equal (b) 1/5 (c) 7/9
19. 19.A bag marked ₹240 is sold at a 15% discount. What is its selling price? (a) ₹225 (b) ₹276 (c) ₹36 (d) ₹204
20. 20.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
21. 21.Which of these numbers is divisible by 11? (a) 8614 (b) 8642 (c) 8627 (d) 8624
22. 22.If 6x + 13 = 37, what is x? (a) 3 (b) 4 (c) 5 (d) 24
23. 23.What is 3/8 of 48? (a) 24 (b) 30 (c) 18 (d) 6
24. 24.Two ribbons are 16 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 16 cm (b) 4 cm (c) 8 cm (d) 56 cm
25. 25.If 17 March is a Monday, what day of the week is 8 April? (a) Tuesday (b) Thursday (c) Monday (d) Wednesday
26. 26.If 5x + 30 = 50, what is x? (a) 20 (b) 4 (c) 5 (d) 16
27. 27.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 16 cm (d) 18 cm
28. 28.Which fraction is greater: 1/10 or 1/3? (a) They are equal (b) 1/3 (c) 1/10
29. 29.Which is the smallest: 0.53, 0.447, 0.5, 0.032? (a) 0.53 (b) 0.447 (c) 0.5 (d) 0.032
30. 30.Which fraction is greater: 3/4 or 2/3? (a) 2/3 (b) They are equal (c) 3/4
31. 31.Which is the smallest: 0.517, 0.67, 0.027, 0.6? (a) 0.517 (b) 0.67 (c) 0.027 (d) 0.6
32. 32.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 1 cm (b) 3 cm (c) 2 cm (d) 4 cm
33. 33.If x/6 + 2 = 7, what is x? (a) 54 (b) 5 (c) 40 (d) 30
34. 34.If 5x + 10 = 50, what is x? (a) 12 (b) 8 (c) 40 (d) 9
35. 35.If 22 August is a Monday, what day of the week is 18 September? (a) Monday (b) Sunday (c) Tuesday (d) Saturday
36. 36.What is the simple interest on ₹4500 at 11% per year for 4 years? (a) ₹1980 (b) ₹6480 (c) ₹2475 (d) ₹495
37. 37.Every pair follows the same rule: 3 : 18, 5 : 20, 6 : 21. What is 8 : ? (a) 48 (b) 23 (c) 22 (d) 24
38. 38.What is the average of all the whole numbers from 13 to 27? (a) 14 (b) 7 (c) 20 (d) 21
39. 39.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 70 sq cm (b) 19 sq cm (c) 38 sq cm (d) 84 sq cm
40. 40.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 27 cm (b) 170 cm (c) 44 cm (d) 54 cm

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