Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 357 · 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.Which fraction is greater: 10/11 or 5/8? (a) 5/8 (b) They are equal (c) 10/11
2. 2.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) 1 cm (b) 6 cm (c) 15 cm (d) 3 cm
3. 3.What is the average of 39, 27, 48 and 18? (a) 32 (b) 34 (c) 33 (d) 44
4. 4.Which of these numbers is divisible by 8? (a) 6201 (b) 6185 (c) 6192 (d) 6198
5. 5.If 2 January is a Thursday, what day of the week is 12 January? (a) Tuesday (b) Sunday (c) Saturday (d) Monday
6. 6.A shopkeeper buys a toy for ₹140 and sells it for ₹147. What is his profit percent? (a) 10% (b) 5% (c) 7% (d) 6%
7. 7.Which is the greatest: 0.535, 0.62, 0.017, 0.6? (a) 0.535 (b) 0.62 (c) 0.017 (d) 0.6
8. 8.The simple interest on ₹10000 for 2 years is ₹800. What is the rate per year? (a) 3% (b) 4% (c) 8% (d) 5%
9. 9.A shopkeeper buys a toy for ₹860 and sells it for ₹1032. What is his profit percent? (a) 15% (b) 25% (c) 20% (d) 21%
10. 10.If 5 January is a Monday, what day of the week is 17 January? (a) Sunday (b) Friday (c) Monday (d) Saturday
11. 11.₹184 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹184 (b) ₹138 (c) ₹92 (d) ₹46
12. 12.Today is Wednesday. What day of the week will it be after 68 days? (a) Wednesday (b) Tuesday (c) Monday (d) Sunday
13. 13.If 6 kites cost ₹144, how much do 4 kites cost? (a) ₹142 (b) ₹120 (c) ₹96 (d) ₹576
14. 14.A bag marked ₹480 is sold at a 10% discount. What is its selling price? (a) ₹432 (b) ₹470 (c) ₹48 (d) ₹528
15. 15.1/6 + 1/3 = ? (a) 1/2 (b) 2/3 (c) 1/3 (d) 2/9
16. 16.Every pair follows the same rule: 5 : 10, 6 : 12, 7 : 14. What is 4 : ? (a) 10 (b) 9 (c) 8 (d) 7
17. 17.Every pair follows the same rule: 2 : 12, 6 : 24, 8 : 30. What is 5 : ? (a) 15 (b) 22 (c) 21 (d) 30
18. 18.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 7 cm (c) 3 cm (d) 2 cm
19. 19.If 28 August is a Saturday, what day of the week is 10 September? (a) Sunday (b) Saturday (c) Thursday (d) Friday
20. 20.1/2 + 2/5 = ? (a) 3/7 (b) 4/5 (c) 9/10 (d) 1
21. 21.What is the remainder when 136 is divided by 6? (a) 3 (b) 4 (c) 2 (d) 5
22. 22.2/3 + 4/9 = ? (a) 1/2 (b) 1 (c) 11/9 (d) 10/9
23. 23.What is the units digit of 9^21? (a) 1 (b) 8 (c) 9 (d) 7
24. 24.Which is the smallest: 0.042, 0.87, 0.729, 0.8? (a) 0.042 (b) 0.87 (c) 0.729 (d) 0.8
25. 25.Every pair follows the same rule: 5 : 8, 8 : 14, 9 : 16. What is 6 : ? (a) 10 (b) 12 (c) 11 (d) 9
26. 26.What is the smallest number you must add to 680 to make it divisible by 9? (a) 4 (b) 5 (c) 6 (d) 3
27. 27.2.51 + 7.5 = ? (a) 3.26 (b) 10.11 (c) 9.91 (d) 10.01
28. 28.If 2 kites cost ₹46, how much do 11 kites cost? (a) ₹276 (b) ₹253 (c) ₹55 (d) ₹506
29. 29.What is the value of the digit 1 in 49.153? (a) 1 (b) 0.01 (c) 0.001 (d) 0.1
30. 30.Which fraction is greater: 7/11 or 1/3? (a) 7/11 (b) They are equal (c) 1/3
31. 31.7/8 + 2/3 = ? (a) 19/12 (b) 37/24 (c) 9/11 (d) 3/2
32. 32.If 12 September is a Wednesday, what day of the week is 12 October? (a) Saturday (b) Friday (c) Thursday (d) Sunday
33. 33.What is the average of 59, 64, 48 and 61? (a) 57 (b) 58 (c) 60 (d) 59
34. 34.What is the value of the digit 1 in 41.569? (a) 1 (b) 0.1 (c) 0.01 (d) 10
35. 35.What is 15% of 360? (a) 540 (b) 306 (c) 108 (d) 54
36. 36.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 24 (b) 40 (c) 52 (d) 34
37. 37.Every pair follows the same rule: 2 : 4, 5 : 25, 7 : 49. What is 3 : ? (a) 9 (b) 6 (c) 5 (d) 1
38. 38.In how many years will ₹6500 earn ₹1430 simple interest at 11% per year? (a) 4 years (b) 2 years (c) 1 year (d) 3 years
39. 39.What is the average of 68, 85, 72, 84, 92 and 73? (a) 81 (b) 78 (c) 79 (d) 80
40. 40.Today is Monday. What day of the week will it be after 32 days? (a) Friday (b) Sunday (c) Saturday (d) Thursday

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