Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 969 · 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 value of the digit 1 in 15.294? (a) 1 (b) 0.1 (c) 0.01 (d) 10
2. 2.The simple interest on ₹1000 for 2 years is ₹240. What is the rate per year? (a) 24% (b) 12% (c) 13% (d) 11%
3. 3.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 19 cm (b) 88 cm (c) 30 cm (d) 38 cm
4. 4.Two bells ring every 20 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 560 min (b) 4 min (c) 140 min (d) 48 min
5. 5.If 2 pens cost ₹26, how much do 4 pens cost? (a) ₹28 (b) ₹104 (c) ₹65 (d) ₹52
6. 6.What is the value of the digit 3 in 91.236? (a) 0.03 (b) 0.3 (c) 3 (d) 0.003
7. 7.What is the smallest number of sweets that can be shared equally among 18 children or among 42 children, with none left over? (a) 60 (b) 126 (c) 252 (d) 756
8. 8.Today is Thursday. What day of the week will it be after 31 days? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
9. 9.Which fraction is greater: 4/5 or 3/11? (a) 3/11 (b) They are equal (c) 4/5
10. 10.If 1 May is a Monday, what day of the week is 11 May? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
11. 11.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 350 min (b) 45 min (c) 5 min (d) 70 min
12. 12.1/2 + 2/6 = ? (a) 1 (b) 3/8 (c) 2/3 (d) 5/6
13. 13.If 16 March is a Friday, what day of the week is 5 April? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
14. 14.₹8000 is invested at 3% per year simple interest. What is the amount after 2 years? (a) ₹480 (b) ₹8720 (c) ₹8480 (d) ₹8240
15. 15.Every pair follows the same rule: 2 : 3, 5 : 9, 8 : 15. What is 3 : ? (a) 4 (b) 7 (c) 5 (d) 6
16. 16.What is the value of the digit 5 in 24.598? (a) 0.005 (b) 0.05 (c) 0.5 (d) 5
17. 17.₹8500 is invested at 6% per year simple interest. What is the amount after 2 years? (a) ₹1020 (b) ₹9010 (c) ₹10030 (d) ₹9520
18. 18.If x/5 + 3 = 8, what is x? (a) 55 (b) 5 (c) 37 (d) 25
19. 19.What is the remainder when 258 is divided by 9? (a) 3 (b) 6 (c) 7 (d) 5
20. 20.A shopkeeper buys a toy for ₹780 and sells it for ₹1170. What is his profit percent? (a) 50% (b) 45% (c) 55% (d) 51%
21. 21.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 41 (b) 84 (c) 30 (d) 29
22. 22.In how many years will ₹1000 earn ₹160 simple interest at 4% per year? (a) 3 years (b) 8 years (c) 4 years (d) 5 years
23. 23.Which of these numbers is divisible by 9? (a) 7441 (b) 7431 (c) 7425 (d) 7418
24. 24.The simple interest on ₹9500 for 2 years is ₹1140. What is the rate per year? (a) 5% (b) 12% (c) 6% (d) 7%
25. 25.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 20 (b) 93 (c) 44 (d) 19
26. 26.2.49 + 3.6 = ? (a) 6.09 (b) 5.99 (c) 2.85 (d) 6.19
27. 27.If 11 January is a Friday, what day of the week is 22 January? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
28. 28.If 12 May is a Friday, what day of the week is 23 May? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
29. 29.5 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 5 days (b) 4 days (c) 6 days (d) 17 days
30. 30.What is the simple interest on ₹1500 at 10% per year for 5 years? (a) ₹900 (b) ₹150 (c) ₹2250 (d) ₹750
31. 31.2/4 + 2/5 = ? (a) 19/20 (b) 17/20 (c) 9/10 (d) 4/9
32. 32.Two ribbons are 24 cm and 84 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 60 cm (b) 12 cm (c) 24 cm (d) 6 cm
33. 33.₹6500 is invested at 3% per year simple interest. What is the amount after 3 years? (a) ₹585 (b) ₹7280 (c) ₹7085 (d) ₹6695
34. 34.What is the average of 35, 28, 24, 31 and 12? (a) 27 (b) 25 (c) 28 (d) 26
35. 35.What is the value of the digit 9 in 29.456? (a) 0.9 (b) 9 (c) 90 (d) 0.09
36. 36.₹3000 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹600 (b) ₹3120 (c) ₹3720 (d) ₹3600
37. 37.If 5 kites cost ₹35, how much do 2 kites cost? (a) ₹21 (b) ₹32 (c) ₹70 (d) ₹14
38. 38.1/2 + 3/4 = ? (a) 3/2 (b) 1 (c) 2/3 (d) 5/4
39. 39.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 12 cm
40. 40.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 162 cm (b) 45 cm (c) 27 cm (d) 54 cm

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