Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 141 · 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.Every pair follows the same rule: 4 : 28, 6 : 42, 9 : 63. What is 2 : ? (a) 14 (b) 15 (c) 13 (d) 26
2. 2.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 140 sq cm (b) 26 sq cm (c) 120 sq cm (d) 52 sq cm
3. 3.5 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 7 days (b) 11 days (c) 9 days (d) 10 days
4. 4.5 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 20 days (b) 6 days (c) 15 days (d) 5 days
5. 5.If 3x + 30 = 45, what is x? (a) 6 (b) 15 (c) 5 (d) 25
6. 6.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 51 cm (d) 37 cm
7. 7.Which is the greatest: 0.041, 0.66, 0.6, 0.543? (a) 0.041 (b) 0.66 (c) 0.6 (d) 0.543
8. 8.9 workers can build a wall in 11 days. How many days will 3 workers take, working at the same speed? (a) 34 days (b) 33 days (c) 17 days (d) 5 days
9. 9.Every pair follows the same rule: 3 : 9, 4 : 16, 9 : 81. What is 7 : ? (a) 13 (b) 21 (c) 55 (d) 49
10. 10.What is the simple interest on ₹4500 at 4% per year for 5 years? (a) ₹1080 (b) ₹180 (c) ₹900 (d) ₹5400
11. 11.If x/6 + 13 = 20, what is x? (a) 42 (b) 107 (c) 198 (d) 7
12. 12.If 9 December is a Wednesday, what day of the week is 18 December? (a) Sunday (b) Thursday (c) Friday (d) Saturday
13. 13.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 68? (a) 140 (b) 80 (c) 76 (d) 68
14. 14.What is 1/4 of 24? (a) 7 (b) 6 (c) 18 (d) 12
15. 15.If 30 May is a Sunday, what day of the week is 4 June? (a) Saturday (b) Friday (c) Sunday (d) Thursday
16. 16.Two ribbons are 77 cm and 88 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 11 cm (b) 77 cm (c) 1 cm (d) 616 cm
17. 17.What is the units digit of 8^17? (a) 4 (b) 8 (c) 2 (d) 6
18. 18.A shopkeeper buys a toy for ₹700 and sells it for ₹665. What is his loss percent? (a) 5% (b) 10% (c) 35% (d) 6%
19. 19.Which of these numbers is divisible by 9? (a) 6768 (b) 6778 (c) 6770 (d) 6765
20. 20.What is the average of all the whole numbers from 53 to 63? (a) 5 (b) 10 (c) 58 (d) 59
21. 21.What is the simple interest on ₹6500 at 3% per year for 3 years? (a) ₹195 (b) ₹7085 (c) ₹585 (d) ₹780
22. 22.If 8x + 18 = 3x + 73, what is x? (a) 5 (b) 12 (c) 11 (d) 13
23. 23.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 136 sq cm (d) 153 sq cm
24. 24.₹175 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹141 (b) ₹140 (c) ₹35 (d) ₹175
25. 25.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 11 cm
26. 26.Which of these numbers is divisible by 3? (a) 530 (b) 532 (c) 528 (d) 526
27. 27.4.83 + 7.2 = ? (a) 12.13 (b) 11.93 (c) 12.03 (d) 5.55
28. 28.If 10 August is a Friday, what day of the week is 19 August? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
29. 29.A shopkeeper buys a toy for ₹760 and sells it for ₹684. What is his loss percent? (a) 76% (b) 5% (c) 10% (d) 15%
30. 30.₹176 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹88 (b) ₹176 (c) ₹44 (d) ₹132
31. 31.Two bells ring every 12 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 33 min (b) 84 min (c) 252 min (d) 3 min
32. 32.Today is Wednesday. What day of the week will it be after 22 days? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
33. 33.If 9 October is a Friday, what day of the week is 24 October? (a) Sunday (b) Monday (c) Saturday (d) Friday
34. 34.What is the value of the digit 4 in 51.734? (a) 0.004 (b) 4 (c) 0.4 (d) 0.04
35. 35.What is the units digit of 8^15? (a) 2 (b) 4 (c) 8 (d) 6
36. 36.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) 12 (b) 4 (c) 16 (d) 2
37. 37.2/5 + 3/5 = ? (a) 6/5 (b) 1 (c) 4/5 (d) 1/2
38. 38.What is the smallest number of sweets that can be shared equally among 12 children or among 20 children, with none left over? (a) 120 (b) 240 (c) 32 (d) 60
39. 39.Every pair follows the same rule: 2 : 3, 3 : 8, 7 : 48. What is 6 : ? (a) 35 (b) 38 (c) 36 (d) 7
40. 40.What is the value of the digit 1 in 31.274? (a) 0.01 (b) 10 (c) 0.1 (d) 1

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