Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 236 · 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.What is the value of the digit 9 in 79.612? (a) 0.09 (b) 9 (c) 90 (d) 0.9
2. 2.The simple interest on ₹1000 for 4 years is ₹360. What is the rate per year? (a) 9% (b) 36% (c) 8% (d) 10%
3. 3.If 5x + 3 = 28, what is x? (a) 4 (b) 6 (c) 25 (d) 5
4. 4.Two ribbons are 50 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) 5 cm (b) 30 cm (c) 50 cm (d) 10 cm
5. 5.₹2500 is invested at 9% per year simple interest. What is the amount after 2 years? (a) ₹2950 (b) ₹3175 (c) ₹2725 (d) ₹450
6. 6.Which fraction is greater: 4/5 or 9/10? (a) 9/10 (b) 4/5 (c) They are equal
7. 7.What is the value of the digit 8 in 47.821? (a) 0.008 (b) 0.08 (c) 0.8 (d) 8
8. 8.Which fraction is greater: 1/8 or 1/3? (a) They are equal (b) 1/3 (c) 1/8
9. 9.If 4x + 19 = 3x + 31, what is x? (a) 13 (b) 14 (c) 50 (d) 12
10. 10.What is 1/5 of 15? (a) 12 (b) 6 (c) 4 (d) 3
11. 11.Which of these numbers is divisible by 11? (a) 3074 (b) 3082 (c) 3069 (d) 3062
12. 12.What is the remainder when 183 is divided by 12? (a) 3 (b) 9 (c) 4 (d) 2
13. 13.Which of these numbers is divisible by 3? (a) 2639 (b) 2644 (c) 2642 (d) 2640
14. 14.Two ribbons are 12 cm and 15 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 60 cm (b) 1 cm (c) 3 cm (d) 12 cm
15. 15.What is the value of the digit 1 in 51.472? (a) 1 (b) 0.01 (c) 10 (d) 0.1
16. 16.Every pair follows the same rule: 3 : 11, 5 : 27, 9 : 83. What is 8 : ? (a) 16 (b) 66 (c) 67 (d) 69
17. 17.If 27 March is a Monday, what day of the week is 20 April? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
18. 18.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) 6 (b) 2 (c) 10 (d) 1
19. 19.3.66 + 2.1 = ? (a) 5.76 (b) 5.86 (c) 5.66 (d) 3.87
20. 20.Which of these numbers is divisible by 8? (a) 6677 (b) 6670 (c) 6682 (d) 6672
21. 21.A shopkeeper buys a toy for ₹880 and sells it for ₹1100. What is his profit percent? (a) 30% (b) 20% (c) 25% (d) 26%
22. 22.If 2 January is a Tuesday, what day of the week is 11 January? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
23. 23.What is the smallest number of sweets that can be shared equally among 12 children or among 30 children, with none left over? (a) 42 (b) 120 (c) 360 (d) 60
24. 24.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 102 cm
25. 25.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 54 sq cm (c) 45 sq cm (d) 14 sq cm
26. 26.What is 2/9 of 108? (a) 84 (b) 24 (c) 36 (d) 12
27. 27.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 15 cm (b) 26 cm (c) 44 cm (d) 30 cm
28. 28.7.89 + 8.9 = ? (a) 16.89 (b) 8.78 (c) 16.69 (d) 16.79
29. 29.Every pair follows the same rule: 2 : 16, 7 : 41, 9 : 51. What is 3 : ? (a) 21 (b) 22 (c) 17 (d) 24
30. 30.What is the simple interest on ₹3000 at 11% per year for 2 years? (a) ₹330 (b) ₹3660 (c) ₹990 (d) ₹660
31. 31.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
32. 32.₹8500 is invested at 9% per year simple interest. What is the amount after 4 years? (a) ₹11560 (b) ₹9265 (c) ₹3060 (d) ₹12325
33. 33.Every pair follows the same rule: 3 : 21, 4 : 28, 9 : 63. What is 2 : ? (a) 14 (b) 15 (c) 13 (d) 20
34. 34.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 28 cm (d) 30 cm
35. 35.What is the simple interest on ₹7000 at 5% per year for 5 years? (a) ₹8750 (b) ₹2100 (c) ₹350 (d) ₹1750
36. 36.What is the average of 53, 60, 68 and 71? (a) 64 (b) 84 (c) 63 (d) 62
37. 37.Every pair follows the same rule: 3 : 12, 7 : 16, 9 : 18. What is 2 : ? (a) 12 (b) 8 (c) 10 (d) 11
38. 38.Which fraction is greater: 5/9 or 7/8? (a) 5/9 (b) They are equal (c) 7/8
39. 39.What is the average of 60, 66, 85, 83 and 81? (a) 76 (b) 74 (c) 77 (d) 75
40. 40.What is the remainder when 113 is divided by 4? (a) 0 (b) 3 (c) 1 (d) 2

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad