Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 603 · 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.₹8000 is invested at 10% per year simple interest. What is the amount after 2 years? (a) ₹8800 (b) ₹9600 (c) ₹10400 (d) ₹1600
2. 2.What is the remainder when 194 is divided by 3? (a) 2 (b) 0 (c) 1
3. 3.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 180 cm (b) 11 cm (c) 12 cm (d) 22 cm
4. 4.In how many years will ₹1500 earn ₹90 simple interest at 2% per year? (a) 6 years (b) 4 years (c) 2 years (d) 3 years
5. 5.What is the average of 51, 55, 46, 63 and 75? (a) 60 (b) 59 (c) 58 (d) 57
6. 6.What is 1/2 of 10? (a) 10 (b) 4 (c) 6 (d) 5
7. 7.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 13 (b) 10 (c) 24 (d) 12
8. 8.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 22 (b) 87 (c) 21 (d) 41
9. 9.Which is the greatest: 0.4, 0.48, 0.321, 0.093? (a) 0.4 (b) 0.48 (c) 0.321 (d) 0.093
10. 10.What is the average of all the whole numbers from 39 to 55? (a) 47 (b) 48 (c) 16 (d) 8
11. 11.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 54 sq cm (b) 180 sq cm (c) 162 sq cm (d) 27 sq cm
12. 12.What is the average of 34, 7, 20, 35 and 14? (a) 21 (b) 23 (c) 24 (d) 22
13. 13.What is the remainder when 124 is divided by 5? (a) 3 (b) 2 (c) 1 (d) 4
14. 14.What is the simple interest on ₹6000 at 4% per year for 3 years? (a) ₹6720 (b) ₹960 (c) ₹240 (d) ₹720
15. 15.Two ribbons are 30 cm and 80 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 30 cm (c) 50 cm (d) 5 cm
16. 16.Every pair follows the same rule: 3 : 27, 5 : 125, 6 : 216. What is 2 : ? (a) 18 (b) 9 (c) 8 (d) 26
17. 17.Every pair follows the same rule: 2 : 8, 3 : 27, 6 : 216. What is 1 : ? (a) 4 (b) 7 (c) 2 (d) 1
18. 18.The simple interest on ₹8500 for 2 years is ₹1360. What is the rate per year? (a) 16% (b) 9% (c) 8% (d) 7%
19. 19.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 120 cm (c) 23 cm (d) 46 cm
20. 20.2/9 + 5/6 = ? (a) 7/15 (b) 1 (c) 19/18 (d) 10/9
21. 21.What is the average of 57, 62, 62, 58 and 116? (a) 70 (b) 71 (c) 73 (d) 72
22. 22.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 20 (b) 24 (c) 96 (d) 48
23. 23.Today is Sunday. What day of the week will it be after 30 days? (a) Monday (b) Tuesday (c) Thursday (d) Wednesday
24. 24.What is the value of the digit 7 in 46.527? (a) 0.07 (b) 0.007 (c) 7 (d) 0.7
25. 25.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 4 : ? (a) 34 (b) 64 (c) 4 (d) 65
26. 26.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 14 (c) 36 (d) 26
27. 27.Two ribbons are 6 cm and 9 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) 1 cm (d) 18 cm
28. 28.Every pair follows the same rule: 2 : 1, 4 : 13, 6 : 33. What is 7 : ? (a) 45 (b) 43 (c) 46 (d) 47
29. 29.What is the units digit of 9^10? (a) 2 (b) 0 (c) 1 (d) 9
30. 30.6.86 + 8.1 = ? (a) 14.96 (b) 15.06 (c) 7.67 (d) 14.86
31. 31.5.57 + 7.1 = ? (a) 12.77 (b) 12.57 (c) 12.67 (d) 6.28
32. 32.What is the average of 49, 65, 68, 66, 64 and 42? (a) 61 (b) 60 (c) 58 (d) 59
33. 33.If 6x + 29 = 83, what is x? (a) 8 (b) 9 (c) 54 (d) 10
34. 34.₹3000 is invested at 8% per year simple interest. What is the amount after 4 years? (a) ₹4200 (b) ₹3960 (c) ₹3240 (d) ₹960
35. 35.4.66 + 6.2 = ? (a) 10.86 (b) 10.76 (c) 10.96 (d) 5.28
36. 36.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 31 cm (b) 36 cm (c) 65 cm (d) 18 cm
37. 37.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 14 cm (b) 8 cm (c) 114 cm (d) 7 cm
38. 38.If 9x + 22 = 40, what is x? (a) 3 (b) 1 (c) 18 (d) 2
39. 39.What is the units digit of 3^50? (a) 1 (b) 7 (c) 3 (d) 9
40. 40.A teacher has 10 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 10 (c) 35 (d) 5

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