Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 991 · 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. 1.8.09 + 6.4 = ? (a) 14.59 (b) 8.73 (c) 14.49 (d) 14.39
2. 2.What is the average of 23, 52, 28 and 49? (a) 40 (b) 37 (c) 38 (d) 39
3. 3.The simple interest on ₹5500 for 3 years is ₹825. What is the rate per year? (a) 6% (b) 4% (c) 15% (d) 5%
4. 4.If x/5 + 10 = 13, what is x? (a) 115 (b) 3 (c) 55 (d) 15
5. 5.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 38 sq cm (b) 84 sq cm (c) 19 sq cm (d) 70 sq cm
6. 6.If 9 March is a Wednesday, what day of the week is 23 March? (a) Wednesday (b) Tuesday (c) Friday (d) Thursday
7. 7.What is the smallest number you must add to 78 to make it divisible by 4? (a) 2 (b) 3 (c) 1
8. 8.What is the remainder when 169 is divided by 4? (a) 1 (b) 2 (c) 0 (d) 3
9. 9.Every pair follows the same rule: 4 : 21, 5 : 26, 7 : 36. What is 8 : ? (a) 41 (b) 25 (c) 40 (d) 42
10. 10.2/8 + 5/6 = ? (a) 1/2 (b) 9/8 (c) 25/24 (d) 13/12
11. 11.If 6x − 44 = 4, what is x? (a) 7 (b) 48 (c) 9 (d) 8
12. 12.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 18 cm (b) 72 cm (c) 36 cm (d) 30 cm
13. 13.₹644 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹46 (b) ₹230 (c) ₹414 (d) ₹322
14. 14.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 50 (b) 40 (c) 95 (d) 85
15. 15.In how many years will ₹2000 earn ₹900 simple interest at 9% per year? (a) 4 years (b) 5 years (c) 6 years (d) 10 years
16. 16.What is the simple interest on ₹3000 at 5% per year for 5 years? (a) ₹900 (b) ₹150 (c) ₹750 (d) ₹3750
17. 17.What is the average of all the whole numbers from 5 to 45? (a) 26 (b) 40 (c) 25 (d) 20
18. 18.The simple interest on ₹8000 for 3 years is ₹2640. What is the rate per year? (a) 33% (b) 11% (c) 10% (d) 12%
19. 19.What is the average of all the whole numbers from 35 to 57? (a) 46 (b) 47 (c) 11 (d) 22
20. 20.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 45 (b) 34 (c) 33 (d) 92
21. 21.If x/2 + 10 = 18, what is x? (a) 56 (b) 8 (c) 16 (d) 26
22. 22.Every pair follows the same rule: 4 : 5, 7 : 11, 8 : 13. What is 2 : ? (a) 4 (b) 2 (c) 1 (d) 3
23. 23.What is the remainder when 67 is divided by 5? (a) 3 (b) 1 (c) 4 (d) 2
24. 24.Which fraction is greater: 2/3 or 3/4? (a) 3/4 (b) They are equal (c) 2/3
25. 25.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 19 cm (c) 9 cm (d) 15 cm
26. 26.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) 35 cm (b) 1 cm (c) 210 cm (d) 7 cm
27. 27.If 3 notebooks cost ₹60, how much do 4 notebooks cost? (a) ₹61 (b) ₹80 (c) ₹240 (d) ₹100
28. 28.3.21 + 7.1 = ? (a) 10.21 (b) 10.41 (c) 3.92 (d) 10.31
29. 29.Two ribbons are 22 cm and 33 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) 66 cm (c) 22 cm (d) 1 cm
30. 30.Every pair follows the same rule: 5 : 23, 6 : 34, 8 : 62. What is 9 : ? (a) 76 (b) 80 (c) 27 (d) 79
31. 31.If 7 notebooks cost ₹42, how much do 11 notebooks cost? (a) ₹66 (b) ₹72 (c) ₹462 (d) ₹46
32. 32.What is the simple interest on ₹4000 at 7% per year for 4 years? (a) ₹280 (b) ₹1400 (c) ₹5120 (d) ₹1120
33. 33.₹56 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹14 (b) ₹28 (c) ₹42 (d) ₹56
34. 34.Which fraction is greater: 1/5 or 3/10? (a) 1/5 (b) They are equal (c) 3/10
35. 35.Which fraction is greater: 1/4 or 2/3? (a) 2/3 (b) 1/4 (c) They are equal
36. 36.If x/2 + 3 = 13, what is x? (a) 32 (b) 20 (c) 10 (d) 23
37. 37.Which of these numbers is divisible by 11? (a) 9143 (b) 9154 (c) 9139 (d) 9141
38. 38.If 7x + 3 = 73, what is x? (a) 11 (b) 70 (c) 10 (d) 9
39. 39.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 11 sq cm (d) 22 sq cm
40. 40.1/2 + 1/4 = ? (a) 1/2 (b) 1/3 (c) 1 (d) 3/4

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