Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 923 · 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 12 days. How many days will 6 workers take, working at the same speed? (a) 14 days (b) 10 days (c) 16 days (d) 9 days
2. 2.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 27 (b) 84 (c) 126 (d) 42
3. 3.Every pair follows the same rule: 2 : 9, 4 : 21, 5 : 30. What is 6 : ? (a) 39 (b) 42 (c) 13 (d) 41
4. 4.If 6x − 30 = 54, what is x? (a) 15 (b) 84 (c) 14 (d) 4
5. 5.Which of these numbers is divisible by 9? (a) 998 (b) 977 (c) 985 (d) 981
6. 6.Every pair follows the same rule: 2 : 11, 5 : 32, 6 : 43. What is 7 : ? (a) 16 (b) 56 (c) 57 (d) 54
7. 7.Every pair follows the same rule: 2 : 14, 4 : 28, 8 : 56. What is 9 : ? (a) 21 (b) 63 (c) 62 (d) 64
8. 8.What is the units digit of 8^33? (a) 6 (b) 4 (c) 2 (d) 8
9. 9.If 7 May is a Friday, what day of the week is 16 May? (a) Sunday (b) Monday (c) Saturday (d) Tuesday
10. 10.If 5x + 28 = 58, what is x? (a) 30 (b) 6 (c) 7 (d) 5
11. 11.₹1000 is invested at 2% per year simple interest. What is the amount after 4 years? (a) ₹80 (b) ₹1080 (c) ₹1020 (d) ₹1100
12. 12.If 4 mangoes cost ₹44, how much do 9 mangoes cost? (a) ₹396 (b) ₹110 (c) ₹49 (d) ₹99
13. 13.5 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 35 days (b) 11 days (c) 36 days (d) 17 days
14. 14.Which of these numbers is divisible by 9? (a) 6125 (b) 6111 (c) 6108 (d) 6114
15. 15.What is 15% of 720? (a) 612 (b) 1080 (c) 108 (d) 216
16. 16.6.73 + 7.9 = ? (a) 7.52 (b) 14.73 (c) 14.63 (d) 14.53
17. 17.What is the simple interest on ₹6500 at 7% per year for 3 years? (a) ₹455 (b) ₹7865 (c) ₹1820 (d) ₹1365
18. 18.Every pair follows the same rule: 2 : 7, 4 : 17, 8 : 37. What is 7 : ? (a) 33 (b) 12 (c) 32 (d) 31
19. 19.What is the average of all the whole numbers from 53 to 93? (a) 73 (b) 74 (c) 20 (d) 40
20. 20.What is 2/5 of 20? (a) 8 (b) 9 (c) 4 (d) 12
21. 21.Which fraction is greater: 5/11 or 1/4? (a) 5/11 (b) They are equal (c) 1/4
22. 22.The simple interest on ₹7500 for 5 years is ₹3750. What is the rate per year? (a) 9% (b) 50% (c) 11% (d) 10%
23. 23.What is the value of the digit 2 in 25.137? (a) 2 (b) 0.02 (c) 0.2 (d) 20
24. 24.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 44 sq cm (d) 144 sq cm
25. 25.A shopkeeper buys a toy for ₹720 and sells it for ₹1008. What is his profit percent? (a) 41% (b) 45% (c) 40% (d) 35%
26. 26.If 14 January is a Monday, what day of the week is 30 January? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
27. 27.Today is Saturday. What day of the week will it be after 17 days? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
28. 28.Every pair follows the same rule: 2 : 8, 4 : 64, 5 : 125. What is 6 : ? (a) 216 (b) 12 (c) 24 (d) 186
29. 29.8 workers can build a wall in 10 days. How many days will 4 workers take, working at the same speed? (a) 6 days (b) 5 days (c) 20 days (d) 14 days
30. 30.Every pair follows the same rule: 3 : 19, 6 : 22, 9 : 25. What is 2 : ? (a) 20 (b) 17 (c) 18 (d) 19
31. 31.What is the simple interest on ₹6500 at 11% per year for 4 years? (a) ₹3575 (b) ₹9360 (c) ₹2860 (d) ₹715
32. 32.What is the simple interest on ₹2000 at 11% per year for 2 years? (a) ₹2440 (b) ₹440 (c) ₹220 (d) ₹660
33. 33.Today is Saturday. What day of the week will it be after 34 days? (a) Sunday (b) Friday (c) Thursday (d) Saturday
34. 34.1/2 + 7/8 = ? (a) 4/5 (b) 5/4 (c) 11/8 (d) 3/2
35. 35.What is the smallest number you must add to 195 to make it divisible by 4? (a) 1 (b) 2 (c) 3
36. 36.If 7 notebooks cost ₹91, how much do 8 notebooks cost? (a) ₹728 (b) ₹117 (c) ₹92 (d) ₹104
37. 37.6.39 + 3.9 = ? (a) 10.39 (b) 6.78 (c) 10.19 (d) 10.29
38. 38.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 26 (b) 46 (c) 25 (d) 95
39. 39.Which fraction is greater: 3/5 or 3/4? (a) They are equal (b) 3/4 (c) 3/5
40. 40.If 6x + 12 = 66, what is x? (a) 54 (b) 13 (c) 9 (d) 10

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