Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 424 · 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.Today is Thursday. What day of the week will it be after 55 days? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
2. 2.What is the simple interest on ₹6000 at 9% per year for 4 years? (a) ₹2700 (b) ₹8160 (c) ₹540 (d) ₹2160
3. 3.What is the smallest number you must add to 580 to make it divisible by 8? (a) 5 (b) 3 (c) 4 (d) 6
4. 4.What is the average of 54, 74, 53 and 91? (a) 68 (b) 70 (c) 69 (d) 67
5. 5.A shopkeeper buys a toy for ₹900 and sells it for ₹1260. What is his profit percent? (a) 41% (b) 35% (c) 45% (d) 40%
6. 6.If x/2 + 1 = 7, what is x? (a) 6 (b) 16 (c) 13 (d) 12
7. 7.The simple interest on ₹3500 for 2 years is ₹770. What is the rate per year? (a) 12% (b) 22% (c) 11% (d) 10%
8. 8.5.89 + 2.1 = ? (a) 6.1 (b) 8.09 (c) 7.99 (d) 7.89
9. 9.What is the smallest number of sweets that can be shared equally among 16 children or among 28 children, with none left over? (a) 44 (b) 448 (c) 224 (d) 112
10. 10.Which fraction is greater: 1/4 or 7/10? (a) 1/4 (b) They are equal (c) 7/10
11. 11.5 workers can build a wall in 8 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 16 days (c) 13 days (d) 4 days
12. 12.If x/3 + 7 = 16, what is x? (a) 9 (b) 69 (c) 41 (d) 27
13. 13.Every pair follows the same rule: 4 : 24, 6 : 36, 9 : 54. What is 5 : ? (a) 29 (b) 25 (c) 30 (d) 31
14. 14.What is the value of the digit 1 in 81.463? (a) 0.01 (b) 10 (c) 0.1 (d) 1
15. 15.What is the units digit of 8^23? (a) 6 (b) 8 (c) 2 (d) 4
16. 16.In how many years will ₹2000 earn ₹300 simple interest at 3% per year? (a) 5 years (b) 6 years (c) 10 years (d) 4 years
17. 17.Every pair follows the same rule: 2 : 2, 5 : 23, 9 : 79. What is 4 : ? (a) 9 (b) 15 (c) 4 (d) 14
18. 18.What is 60% of 60? (a) 72 (b) 36 (c) 360 (d) 24
19. 19.6 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 8 days (c) 36 days (d) 16 days
20. 20.In how many years will ₹1000 earn ₹100 simple interest at 2% per year? (a) 10 years (b) 6 years (c) 5 years (d) 4 years
21. 21.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 28 cm (c) 18 cm (d) 11 cm
22. 22.₹9000 is invested at 6% per year simple interest. What is the amount after 2 years? (a) ₹10620 (b) ₹10080 (c) ₹1080 (d) ₹9540
23. 23.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 100 min (b) 500 min (c) 5 min (d) 45 min
24. 24.Two ribbons are 12 cm and 42 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 6 cm (c) 30 cm (d) 12 cm
25. 25.If 15 December is a Saturday, what day of the week is 27 December? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
26. 26.A teacher has 16 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 16 (b) 4 (c) 12 (d) 2
27. 27.If 2 December is a Tuesday, what day of the week is 18 December? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
28. 28.If 6x + 8 = 3x + 23, what is x? (a) 7 (b) 5 (c) 4 (d) 6
29. 29.Two ribbons are 33 cm and 77 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 44 cm (b) 33 cm (c) 1 cm (d) 11 cm
30. 30.Which of these numbers is divisible by 9? (a) 7651 (b) 7649 (c) 7635 (d) 7641
31. 31.If 12 January is a Sunday, what day of the week is 18 February? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
32. 32.A shopkeeper buys a toy for ₹680 and sells it for ₹748. What is his profit percent? (a) 68% (b) 5% (c) 10% (d) 15%
33. 33.If 30 November is a Friday, what day of the week is 3 December? (a) Wednesday (b) Sunday (c) Monday (d) Tuesday
34. 34.If 9 May is a Tuesday, what day of the week is 21 May? (a) Saturday (b) Sunday (c) Monday (d) Tuesday
35. 35.What is the value of the digit 7 in 71.942? (a) 7 (b) 70 (c) 0.7 (d) 0.07
36. 36.What is the units digit of 7^60? (a) 7 (b) 9 (c) 3 (d) 1
37. 37.Which fraction is greater: 1/4 or 2/11? (a) They are equal (b) 2/11 (c) 1/4
38. 38.Every pair follows the same rule: 2 : 18, 4 : 36, 9 : 81. What is 7 : ? (a) 64 (b) 63 (c) 23 (d) 62
39. 39.A shopkeeper buys a toy for ₹880 and sells it for ₹1320. What is his profit percent? (a) 45% (b) 51% (c) 50% (d) 55%
40. 40.If 6x + 1 = 2x + 5, what is x? (a) 3 (b) 2 (c) 1 (d) 4

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