Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 723 · 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.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 168 min (b) 2 min (c) 26 min (d) 84 min
2. 2.Which is the smallest: 0.083, 0.316, 0.4, 0.49? (a) 0.083 (b) 0.316 (c) 0.4 (d) 0.49
3. 3.3 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 18 days (b) 10 days (c) 7 days (d) 6 days
4. 4.What is the value of the digit 2 in 42.365? (a) 0.02 (b) 20 (c) 0.2 (d) 2
5. 5.Today is Wednesday. What day of the week will it be after 17 days? (a) Saturday (b) Monday (c) Friday (d) Sunday
6. 6.₹99 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹89 (b) ₹99 (c) ₹11 (d) ₹88
7. 7.If 15 August is a Tuesday, what day of the week is 29 August? (a) Tuesday (b) Wednesday (c) Monday (d) Thursday
8. 8.Which of these numbers is divisible by 3? (a) 635 (b) 632 (c) 633 (d) 638
9. 9.What is the simple interest on ₹5000 at 12% per year for 3 years? (a) ₹6800 (b) ₹1800 (c) ₹2400 (d) ₹600
10. 10.What is 1/3 of 12? (a) 4 (b) 8 (c) 5 (d) 3
11. 11.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 22 sq cm (c) 24 sq cm (d) 11 sq cm
12. 12.What is the smallest number you must add to 113 to make it divisible by 4? (a) 2 (b) 3 (c) 1
13. 13.A shopkeeper buys a toy for ₹940 and sells it for ₹752. What is his loss percent? (a) 25% (b) 20% (c) 21% (d) 15%
14. 14.What is the remainder when 388 is divided by 5? (a) 2 (b) 1 (c) 4 (d) 3
15. 15.Which is the smallest: 0.8, 0.82, 0.714, 0.062? (a) 0.8 (b) 0.82 (c) 0.714 (d) 0.062
16. 16.Which of these numbers is divisible by 3? (a) 2558 (b) 2553 (c) 2551 (d) 2554
17. 17.If 11 May is a Tuesday, what day of the week is 4 June? (a) Saturday (b) Friday (c) Thursday (d) Sunday
18. 18.Two ribbons are 9 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 9 cm (b) 3 cm (c) 1 cm (d) 15 cm
19. 19.What is 4/5 of 55? (a) 44 (b) 11 (c) 45 (d) 55
20. 20.What is the units digit of 9^40? (a) 0 (b) 1 (c) 9 (d) 2
21. 21.Every pair follows the same rule: 2 : 12, 5 : 30, 9 : 54. What is 7 : ? (a) 41 (b) 43 (c) 42 (d) 17
22. 22.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 88 cm
23. 23.In how many years will ₹9500 earn ₹760 simple interest at 2% per year? (a) 3 years (b) 4 years (c) 5 years (d) 8 years
24. 24.Every pair follows the same rule: 7 : 25, 8 : 28, 9 : 31. What is 3 : ? (a) 14 (b) 21 (c) 12 (d) 13
25. 25.If 6 pens cost ₹72, how much do 9 pens cost? (a) ₹648 (b) ₹108 (c) ₹75 (d) ₹120
26. 26.If 3 notebooks cost ₹60, how much do 11 notebooks cost? (a) ₹660 (b) ₹68 (c) ₹220 (d) ₹240
27. 27.If 5 March is a Saturday, what day of the week is 14 March? (a) Sunday (b) Tuesday (c) Monday (d) Wednesday
28. 28.Which fraction is greater: 1/6 or 4/11? (a) 1/6 (b) They are equal (c) 4/11
29. 29.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 14 (b) 9 (c) 29 (d) 8
30. 30.What is the value of the digit 2 in 21.954? (a) 20 (b) 0.02 (c) 0.2 (d) 2
31. 31.Which of these numbers is divisible by 9? (a) 7166 (b) 7164 (c) 7161 (d) 7174
32. 32.If 2 August is a Saturday, what day of the week is 10 August? (a) Sunday (b) Tuesday (c) Saturday (d) Monday
33. 33.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 4 days (b) 11 days (c) 2 days (d) 3 days
34. 34.If 3 notebooks cost ₹21, how much do 5 notebooks cost? (a) ₹42 (b) ₹105 (c) ₹23 (d) ₹35
35. 35.What is 2/9 of 54? (a) 42 (b) 18 (c) 12 (d) 6
36. 36.Every pair follows the same rule: 5 : 29, 7 : 53, 8 : 68. What is 3 : ? (a) 14 (b) 13 (c) 12 (d) 27
37. 37.If 2x − 3 = 15, what is x? (a) 10 (b) 6 (c) 18 (d) 9
38. 38.What is the simple interest on ₹4000 at 3% per year for 5 years? (a) ₹120 (b) ₹600 (c) ₹720 (d) ₹4600
39. 39.₹637 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹392 (b) ₹49 (c) ₹245 (d) ₹441
40. 40.What is the units digit of 4^15? (a) 4 (b) 6 (c) 3 (d) 5

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