Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 735 · 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 simple interest on ₹1000 at 4% per year for 2 years? (a) ₹40 (b) ₹1080 (c) ₹80 (d) ₹120
2. 2.Which fraction is greater: 4/5 or 8/11? (a) 4/5 (b) They are equal (c) 8/11
3. 3.If 8x + 23 = 143, what is x? (a) 120 (b) 14 (c) 16 (d) 15
4. 4.Two bells ring every 12 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 27 min (b) 3 min (c) 60 min (d) 180 min
5. 5.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 108 min (c) 3 min (d) 21 min
6. 6.2/3 + 2/7 = ? (a) 2/5 (b) 19/21 (c) 20/21 (d) 1
7. 7.8 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 8 days (b) 6 days (c) 24 days (d) 16 days
8. 8.What is the units digit of 9^24? (a) 9 (b) 1 (c) 0 (d) 2
9. 9.If 11 January is a Thursday, what day of the week is 27 January? (a) Monday (b) Friday (c) Saturday (d) Sunday
10. 10.A shopkeeper buys a toy for ₹420 and sells it for ₹378. What is his loss percent? (a) 5% (b) 15% (c) 10% (d) 42%
11. 11.Every pair follows the same rule: 4 : 16, 5 : 25, 9 : 81. What is 2 : ? (a) 4 (b) 14 (c) 8 (d) 5
12. 12.₹315 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹135 (b) ₹180 (c) ₹45 (d) ₹225
13. 13.A shopkeeper buys a toy for ₹480 and sells it for ₹528. What is his profit percent? (a) 5% (b) 15% (c) 10% (d) 48%
14. 14.What is 75% of 120? (a) 90 (b) 900 (c) 30 (d) 180
15. 15.Two ribbons are 28 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 28 cm (c) 8 cm (d) 2 cm
16. 16.1/2 + 5/8 = ? (a) 9/8 (b) 1 (c) 5/4 (d) 3/5
17. 17.₹10000 is invested at 10% per year simple interest. What is the amount after 2 years? (a) ₹11000 (b) ₹13000 (c) ₹12000 (d) ₹2000
18. 18.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 10 min (b) 2 min (c) 12 min (d) 24 min
19. 19.If 8x + 9 = x + 86, what is x? (a) 13 (b) 10 (c) 11 (d) 12
20. 20.What is 25% of 60? (a) 45 (b) 150 (c) 15 (d) 30
21. 21.What is the remainder when 65 is divided by 3? (a) 0 (b) 2 (c) 1
22. 22.Every pair follows the same rule: 2 : 4, 4 : 16, 5 : 25. What is 7 : ? (a) 49 (b) 14 (c) 9 (d) 43
23. 23.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 37 cm (b) 143 cm (c) 48 cm (d) 24 cm
24. 24.Which of these numbers is divisible by 9? (a) 4465 (b) 4464 (c) 4462 (d) 4474
25. 25.What is the average of all the whole numbers from 17 to 51? (a) 35 (b) 34 (c) 33 (d) 17
26. 26.What is the value of the digit 1 in 19.283? (a) 0.1 (b) 0.01 (c) 1 (d) 10
27. 27.What is the value of the digit 1 in 37.418? (a) 1 (b) 0.1 (c) 0.001 (d) 0.01
28. 28.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 24 cm (c) 4 cm (d) 8 cm
29. 29.9.26 + 6.8 = ? (a) 9.94 (b) 16.16 (c) 16.06 (d) 15.96
30. 30.What is the smallest number you must add to 536 to make it divisible by 9? (a) 6 (b) 3 (c) 4 (d) 5
31. 31.What is the units digit of 3^12? (a) 3 (b) 1 (c) 7 (d) 9
32. 32.A bag marked ₹200 is sold at a 10% discount. What is its selling price? (a) ₹220 (b) ₹20 (c) ₹180 (d) ₹190
33. 33.Two ribbons are 15 cm and 25 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 15 cm (c) 1 cm (d) 10 cm
34. 34.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 36 (b) 56 (c) 112 (d) 224
35. 35.In how many years will ₹9000 earn ₹540 simple interest at 3% per year? (a) 3 years (b) 2 years (c) 1 year (d) 4 years
36. 36.If 8 August is a Sunday, what day of the week is 24 August? (a) Wednesday (b) Monday (c) Thursday (d) Tuesday
37. 37.Which is the greatest: 0.37, 0.221, 0.086, 0.3? (a) 0.37 (b) 0.221 (c) 0.086 (d) 0.3
38. 38.What is the units digit of 2^18? (a) 4 (b) 2 (c) 6 (d) 8
39. 39.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 26 sq cm (c) 13 sq cm (d) 42 sq cm
40. 40.Today is Monday. What day of the week will it be after 49 days? (a) Sunday (b) Monday (c) Tuesday (d) Wednesday

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