Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 220 · 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.Which of these numbers is divisible by 4? (a) 2851 (b) 2854 (c) 2857 (d) 2852
2. 2.What is the smallest number you must add to 106 to make it divisible by 4? (a) 2 (b) 1 (c) 3
3. 3.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 98 cm (c) 8 cm (d) 16 cm
4. 4.Today is Friday. What day of the week will it be after 72 days? (a) Tuesday (b) Sunday (c) Monday (d) Saturday
5. 5.What is the value of the digit 4 in 46.531? (a) 4 (b) 0.04 (c) 0.4 (d) 40
6. 6.What is 1/2 of 10? (a) 10 (b) 5 (c) 6 (d) 4
7. 7.Which of these numbers is divisible by 9? (a) 2185 (b) 2192 (c) 2201 (d) 2187
8. 8.What is the units digit of 2^43? (a) 4 (b) 6 (c) 2 (d) 8
9. 9.Which is the greatest: 0.564, 0.68, 0.6, 0.058? (a) 0.564 (b) 0.68 (c) 0.6 (d) 0.058
10. 10.3 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 12 days (d) 9 days
11. 11.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 2 : ? (a) 2 (b) 8 (c) 9 (d) 7
12. 12.Today is Monday. What day of the week will it be after 10 days? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
13. 13.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 7 days (b) 8 days (c) 3 days (d) 6 days
14. 14.A batter has an average of 44 runs in 8 matches. How many runs are needed in the next match to raise the average to 52? (a) 60 (b) 52 (c) 116 (d) 72
15. 15.What is the simple interest on ₹6000 at 4% per year for 2 years? (a) ₹480 (b) ₹720 (c) ₹6480 (d) ₹240
16. 16.Two ribbons are 35 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) 1 cm (b) 35 cm (c) 210 cm (d) 7 cm
17. 17.If 20 April is a Friday, what day of the week is 3 May? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
18. 18.If x/5 + 4 = 11, what is x? (a) 35 (b) 7 (c) 51 (d) 75
19. 19.What is the units digit of 3^37? (a) 1 (b) 7 (c) 3 (d) 9
20. 20.8 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 2 days (b) 14 days (c) 32 days (d) 33 days
21. 21.What is the remainder when 81 is divided by 5? (a) 0 (b) 2 (c) 1 (d) 4
22. 22.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 40 sq cm (d) 60 sq cm
23. 23.Which is the smallest: 0.23, 0.198, 0.2, 0.019? (a) 0.23 (b) 0.198 (c) 0.2 (d) 0.019
24. 24.4 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 27 days (c) 15 days (d) 26 days
25. 25.₹108 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹72 (b) ₹54 (c) ₹108 (d) ₹36
26. 26.₹98 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹49 (b) ₹35 (c) ₹7 (d) ₹63
27. 27.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 12 (b) 31 (c) 11 (d) 67
28. 28.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 100 sq cm (d) 18 sq cm
29. 29.Every pair follows the same rule: 3 : 7, 4 : 14, 8 : 62. What is 5 : ? (a) 24 (b) 26 (c) 9 (d) 23
30. 30.What is the value of the digit 8 in 87.415? (a) 8 (b) 0.08 (c) 80 (d) 0.8
31. 31.A teacher has 10 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 10 (c) 1 (d) 6
32. 32.Every pair follows the same rule: 2 : 1, 6 : 9, 9 : 15. What is 7 : ? (a) 12 (b) 10 (c) 11 (d) 13
33. 33.What is the average of 42, 27, 34 and 61? (a) 41 (b) 42 (c) 43 (d) 40
34. 34.If 31 August is a Wednesday, what day of the week is 8 September? (a) Thursday (b) Friday (c) Wednesday (d) Saturday
35. 35.What is the simple interest on ₹3000 at 8% per year for 2 years? (a) ₹720 (b) ₹480 (c) ₹3480 (d) ₹240
36. 36.What is the smallest number you must add to 493 to make it divisible by 9? (a) 7 (b) 3 (c) 2 (d) 1
37. 37.The simple interest on ₹10000 for 3 years is ₹3600. What is the rate per year? (a) 11% (b) 36% (c) 13% (d) 12%
38. 38.₹72 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹8 (b) ₹36 (c) ₹16 (d) ₹56
39. 39.A teacher has 18 pencils and 27 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 9 (b) 3 (c) 18 (d) 54
40. 40.What is 30% of 900? (a) 270 (b) 630 (c) 540 (d) 2700

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