Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 291 · 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. 1.8 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 20 days (b) 8 days (c) 56 days (d) 57 days
2. 2.If x/6 + 6 = 16, what is x? (a) 60 (b) 132 (c) 10 (d) 90
3. 3.A teacher has 56 pencils and 64 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 448 (c) 8 (d) 56
4. 4.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 16 cm (c) 18 cm (d) 9 cm
5. 5.4.36 + 5.7 = ? (a) 4.93 (b) 10.06 (c) 10.16 (d) 9.96
6. 6.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) 12 cm (b) 3 cm (c) 6 cm (d) 30 cm
7. 7.Two ribbons are 22 cm and 55 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) 33 cm (c) 22 cm (d) 1 cm
8. 8.Today is Friday. What day of the week will it be after 44 days? (a) Sunday (b) Monday (c) Saturday (d) Tuesday
9. 9.Which of these numbers is divisible by 11? (a) 4589 (b) 4585 (c) 4587 (d) 4604
10. 10.Which is the smallest: 0.442, 0.5, 0.012, 0.52? (a) 0.442 (b) 0.5 (c) 0.012 (d) 0.52
11. 11.What is the smallest number of sweets that can be shared equally among 10 children or among 14 children, with none left over? (a) 71 (b) 24 (c) 70 (d) 140
12. 12.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 24 sq cm (c) 19 sq cm (d) 9 sq cm
13. 13.Which fraction is greater: 8/9 or 3/4? (a) 3/4 (b) 8/9 (c) They are equal
14. 14.What is 40% of 100? (a) 40 (b) 400 (c) 60 (d) 80
15. 15.What is the smallest number you must add to 183 to make it divisible by 6? (a) 3 (b) 5 (c) 2 (d) 4
16. 16.Two bells ring every 15 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 270 min (b) 3 min (c) 33 min (d) 90 min
17. 17.What is the units digit of 7^44? (a) 1 (b) 3 (c) 7 (d) 9
18. 18.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
19. 19.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 18 cm (b) 28 cm (c) 80 cm (d) 36 cm
20. 20.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 17 (b) 41 (c) 86 (d) 18
21. 21.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 77 sq cm (d) 66 sq cm
22. 22.What is the remainder when 501 is divided by 9? (a) 3 (b) 7 (c) 6 (d) 5
23. 23.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 22 min (c) 120 min (d) 2 min
24. 24.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 7 cm (b) 12 cm (c) 80 cm (d) 6 cm
25. 25.2.17 + 7.3 = ? (a) 9.37 (b) 9.47 (c) 2.9 (d) 9.57
26. 26.5.67 + 6.8 = ? (a) 12.57 (b) 12.37 (c) 12.47 (d) 6.35
27. 27.If 6 August is a Wednesday, what day of the week is 20 August? (a) Wednesday (b) Thursday (c) Friday (d) Tuesday
28. 28.Every pair follows the same rule: 4 : 19, 6 : 39, 7 : 52. What is 2 : ? (a) 6 (b) 8 (c) 17 (d) 7
29. 29.If 7x + 10 = 101, what is x? (a) 14 (b) 91 (c) 13 (d) 12
30. 30.If 4x − 4 = 8, what is x? (a) 1 (b) 12 (c) 4 (d) 3
31. 31.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 63 (b) 56 (c) 119 (d) 70
32. 32.If 4 January is a Monday, what day of the week is 14 January? (a) Thursday (b) Saturday (c) Wednesday (d) Friday
33. 33.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 15 days (b) 26 days (c) 11 days (d) 27 days
34. 34.If 5 notebooks cost ₹65, how much do 11 notebooks cost? (a) ₹156 (b) ₹143 (c) ₹71 (d) ₹715
35. 35.If 2 kites cost ₹16, how much do 11 kites cost? (a) ₹88 (b) ₹25 (c) ₹96 (d) ₹176
36. 36.What is 1/3 of 33? (a) 10 (b) 22 (c) 12 (d) 11
37. 37.What is the units digit of 4^51? (a) 3 (b) 4 (c) 5 (d) 6
38. 38.1/5 + 2/3 = ? (a) 3/8 (b) 4/5 (c) 13/15 (d) 14/15
39. 39.Today is Sunday. What day of the week will it be after 38 days? (a) Tuesday (b) Thursday (c) Friday (d) Wednesday
40. 40.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 30 (b) 31 (c) 16 (d) 60

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