Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 395 · 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.₹176 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹176 (b) ₹88 (c) ₹22 (d) ₹154
2. 2.4.55 + 5.1 = ? (a) 9.75 (b) 9.55 (c) 5.06 (d) 9.65
3. 3.Which fraction is greater: 3/10 or 1/7? (a) 1/7 (b) They are equal (c) 3/10
4. 4.What is the smallest number you must add to 416 to make it divisible by 6? (a) 5 (b) 4 (c) 2 (d) 3
5. 5.1/6 + 1/2 = ? (a) 1/2 (b) 2/3 (c) 5/6 (d) 1/4
6. 6.What is the units digit of 2^33? (a) 6 (b) 8 (c) 4 (d) 2
7. 7.What is the average of all the whole numbers from 40 to 48? (a) 8 (b) 45 (c) 44 (d) 4
8. 8.4 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 8 days (c) 4 days (d) 12 days
9. 9.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
10. 10.Which fraction is greater: 2/3 or 4/5? (a) 2/3 (b) 4/5 (c) They are equal
11. 11.What is the smallest number of sweets that can be shared equally among 8 children or among 10 children, with none left over? (a) 41 (b) 80 (c) 18 (d) 40
12. 12.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 59 (b) 16 (c) 55 (d) 67
13. 13.What is the average of all the whole numbers from 50 to 56? (a) 54 (b) 53 (c) 6 (d) 3
14. 14.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 21 sq cm (b) 85 sq cm (c) 42 sq cm (d) 68 sq cm
15. 15.What is 4/7 of 42? (a) 6 (b) 30 (c) 18 (d) 24
16. 16.₹368 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹46 (b) ₹184 (c) ₹368 (d) ₹322
17. 17.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 27 (b) 52 (c) 39 (d) 14
18. 18.₹462 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹84 (b) ₹231 (c) ₹42 (d) ₹378
19. 19.What is the remainder when 310 is divided by 4? (a) 3 (b) 2 (c) 0 (d) 1
20. 20.What is the average of 25, 36, 17 and 50? (a) 31 (b) 34 (c) 32 (d) 33
21. 21.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 73 (b) 24 (c) 55 (d) 61
22. 22.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 45 sq cm (b) 14 sq cm (c) 28 sq cm (d) 54 sq cm
23. 23.Every pair follows the same rule: 4 : 16, 6 : 36, 9 : 81. What is 3 : ? (a) 12 (b) 9 (c) 10 (d) 15
24. 24.Every pair follows the same rule: 4 : 14, 5 : 15, 8 : 18. What is 6 : ? (a) 17 (b) 18 (c) 15 (d) 16
25. 25.If 5x + 21 = 66, what is x? (a) 8 (b) 45 (c) 10 (d) 9
26. 26.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 60 cm (c) 10 cm (d) 5 cm
27. 27.Every pair follows the same rule: 3 : 7, 7 : 47, 8 : 62. What is 2 : ? (a) 2 (b) 3 (c) 6 (d) 1
28. 28.What is the remainder when 50 is divided by 3? (a) 2 (b) 0 (c) 1
29. 29.What is the remainder when 311 is divided by 11? (a) 3 (b) 8 (c) 4 (d) 2
30. 30.What is the average of 24, 30, 40 and 54? (a) 39 (b) 38 (c) 36 (d) 37
31. 31.If 6 July is a Friday, what day of the week is 17 July? (a) Wednesday (b) Monday (c) Thursday (d) Tuesday
32. 32.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 36 (c) 24 (d) 52
33. 33.Every pair follows the same rule: 2 : 13, 3 : 18, 5 : 34. What is 9 : ? (a) 20 (b) 91 (c) 90 (d) 66
34. 34.A bag marked ₹680 is sold at a 15% discount. What is its selling price? (a) ₹665 (b) ₹102 (c) ₹782 (d) ₹578
35. 35.What is 8/9 of 36? (a) 36 (b) 32 (c) 4 (d) 33
36. 36.Two bells ring every 18 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 378 min (b) 39 min (c) 3 min (d) 126 min
37. 37.Which fraction is greater: 7/10 or 2/5? (a) 2/5 (b) They are equal (c) 7/10
38. 38.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 20 cm (c) 117 cm (d) 11 cm
39. 39.1/2 + 4/7 = ? (a) 1 (b) 5/9 (c) 8/7 (d) 15/14
40. 40.If 6 kites cost ₹36, how much do 7 kites cost? (a) ₹252 (b) ₹37 (c) ₹48 (d) ₹42

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