Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 400 · 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.What is the smallest number you must add to 251 to make it divisible by 5? (a) 4 (b) 3 (c) 2 (d) 1
2. 2.The simple interest on ₹3500 for 5 years is ₹1925. What is the rate per year? (a) 12% (b) 55% (c) 11% (d) 10%
3. 3.What is the simple interest on ₹9000 at 2% per year for 3 years? (a) ₹720 (b) ₹9540 (c) ₹180 (d) ₹540
4. 4.What is the smallest number you must add to 182 to make it divisible by 8? (a) 1 (b) 2 (c) 3 (d) 6
5. 5.What is 75% of 420? (a) 105 (b) 630 (c) 3150 (d) 315
6. 6.A batter has an average of 58 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 28 (b) 62 (c) 66 (d) 86
7. 7.What is the average of 33, 29, 22, 48, 40 and 44? (a) 36 (b) 35 (c) 38 (d) 37
8. 8.What is the smallest number of sweets that can be shared equally among 10 children or among 14 children, with none left over? (a) 140 (b) 70 (c) 24 (d) 71
9. 9.Today is Tuesday. What day of the week will it be after 95 days? (a) Friday (b) Saturday (c) Sunday (d) Monday
10. 10.3.81 + 7.1 = ? (a) 11.01 (b) 10.81 (c) 4.52 (d) 10.91
11. 11.If 2 kites cost ₹38, how much do 9 kites cost? (a) ₹342 (b) ₹190 (c) ₹45 (d) ₹171
12. 12.In how many years will ₹4500 earn ₹900 simple interest at 10% per year? (a) 4 years (b) 2 years (c) 1 year (d) 3 years
13. 13.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 13 cm (c) 26 cm (d) 22 cm
14. 14.₹343 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹49 (b) ₹245 (c) ₹294 (d) ₹98
15. 15.A shopkeeper buys a toy for ₹240 and sells it for ₹312. What is his profit percent? (a) 35% (b) 72% (c) 25% (d) 30%
16. 16.1/3 + 1/8 = ? (a) 1/2 (b) 5/12 (c) 2/11 (d) 11/24
17. 17.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 16 cm (d) 24 cm
18. 18.What is the value of the digit 2 in 23.416? (a) 20 (b) 0.02 (c) 2 (d) 0.2
19. 19.A bag marked ₹1440 is sold at a 15% discount. What is its selling price? (a) ₹1656 (b) ₹1425 (c) ₹1224 (d) ₹216
20. 20.What is 20% of 100? (a) 40 (b) 200 (c) 20 (d) 80
21. 21.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 20 (b) 48 (c) 46 (d) 64
22. 22.A bag marked ₹380 is sold at a 20% discount. What is its selling price? (a) ₹456 (b) ₹360 (c) ₹76 (d) ₹304
23. 23.What is the value of the digit 4 in 38.654? (a) 0.4 (b) 4 (c) 0.004 (d) 0.04
24. 24.9.69 + 3.5 = ? (a) 13.09 (b) 13.19 (c) 10.04 (d) 13.29
25. 25.A shopkeeper buys a toy for ₹780 and sells it for ₹468. What is his loss percent? (a) 41% (b) 35% (c) 40% (d) 45%
26. 26.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 96 min (c) 20 min (d) 24 min
27. 27.What is the simple interest on ₹1000 at 2% per year for 3 years? (a) ₹1060 (b) ₹20 (c) ₹60 (d) ₹80
28. 28.Which is the greatest: 0.055, 0.596, 0.6, 0.69? (a) 0.055 (b) 0.596 (c) 0.6 (d) 0.69
29. 29.Which fraction is greater: 7/9 or 9/11? (a) 7/9 (b) 9/11 (c) They are equal
30. 30.Two ribbons are 6 cm and 8 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 6 cm (c) 24 cm (d) 1 cm
31. 31.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 18 sq cm (b) 80 sq cm (c) 36 sq cm (d) 90 sq cm
32. 32.A shopkeeper buys a toy for ₹260 and sells it for ₹234. What is his loss percent? (a) 5% (b) 26% (c) 15% (d) 10%
33. 33.₹9500 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹11400 (b) ₹11020 (c) ₹1520 (d) ₹9880
34. 34.Every pair follows the same rule: 2 : 14, 8 : 56, 9 : 63. What is 3 : ? (a) 21 (b) 15 (c) 22 (d) 20
35. 35.₹4500 is invested at 12% per year simple interest. What is the amount after 4 years? (a) ₹7200 (b) ₹6660 (c) ₹5040 (d) ₹2160
36. 36.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 45 cm (b) 5 cm (c) 4 cm (d) 8 cm
37. 37.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 29 (b) 9 (c) 10 (d) 63
38. 38.What is the value of the digit 1 in 92.514? (a) 0.01 (b) 0.1 (c) 0.001 (d) 1
39. 39.What is 75% of 660? (a) 165 (b) 495 (c) 990 (d) 4950
40. 40.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 40 cm

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