Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 944 · 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. 1.4 workers can build a wall in 10 days. How many days will 8 workers take, working at the same speed? (a) 6 days (b) 14 days (c) 5 days (d) 20 days
2. 2.Which of these numbers is divisible by 8? (a) 6052 (b) 6065 (c) 6059 (d) 6056
3. 3.In how many years will ₹1000 earn ₹400 simple interest at 10% per year? (a) 4 years (b) 5 years (c) 8 years (d) 3 years
4. 4.1/2 + 1/3 = ? (a) 1 (b) 2/5 (c) 5/6 (d) 2/3
5. 5.If 14 December is a Tuesday, what day of the week is 30 December? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
6. 6.Every pair follows the same rule: 5 : 14, 7 : 20, 9 : 26. What is 2 : ? (a) 11 (b) 5 (c) 4 (d) 6
7. 7.What is the smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 14 (b) 24 (c) 25 (d) 48
8. 8.A bag marked ₹1120 is sold at a 50% discount. What is its selling price? (a) ₹560 (b) ₹1680 (c) ₹1070 (d) ₹561
9. 9.What is 2/5 of 10? (a) 5 (b) 4 (c) 6 (d) 2
10. 10.If 3 March is a Saturday, what day of the week is 19 March? (a) Wednesday (b) Sunday (c) Tuesday (d) Monday
11. 11.₹182 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹104 (b) ₹26 (c) ₹91 (d) ₹78
12. 12.Which fraction is greater: 1/7 or 1/3? (a) They are equal (b) 1/7 (c) 1/3
13. 13.Today is Tuesday. What day of the week will it be after 61 days? (a) Sunday (b) Saturday (c) Tuesday (d) Monday
14. 14.If 6x − 20 = 28, what is x? (a) 9 (b) 7 (c) 8 (d) 48
15. 15.What is the average of 26, 26, 23, 33 and 2? (a) 24 (b) 21 (c) 23 (d) 22
16. 16.What is the value of the digit 8 in 84.219? (a) 0.08 (b) 80 (c) 8 (d) 0.8
17. 17.If 9 pens cost ₹72, how much do 7 pens cost? (a) ₹56 (b) ₹504 (c) ₹70 (d) ₹64
18. 18.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 136 cm (b) 10 cm (c) 18 cm (d) 9 cm
19. 19.What is the average of all the whole numbers from 14 to 20? (a) 17 (b) 6 (c) 18 (d) 3
20. 20.What is the value of the digit 8 in 54.186? (a) 0.8 (b) 0.08 (c) 8 (d) 0.008
21. 21.1.99 + 3.8 = ? (a) 5.79 (b) 5.89 (c) 5.69 (d) 2.37
22. 22.What is the average of all the whole numbers from 27 to 57? (a) 30 (b) 15 (c) 43 (d) 42
23. 23.If 9 notebooks cost ₹117, how much do 10 notebooks cost? (a) ₹130 (b) ₹1170 (c) ₹143 (d) ₹118
24. 24.Which is the smallest: 0.8, 0.743, 0.091, 0.88? (a) 0.8 (b) 0.743 (c) 0.091 (d) 0.88
25. 25.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 70 sq cm (b) 17 sq cm (c) 34 sq cm (d) 80 sq cm
26. 26.If 9 mangoes cost ₹36, how much do 11 mangoes cost? (a) ₹38 (b) ₹396 (c) ₹48 (d) ₹44
27. 27.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 20 sq cm (d) 10 sq cm
28. 28.₹168 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹14 (b) ₹70 (c) ₹98 (d) ₹84
29. 29.Every pair follows the same rule: 2 : 7, 5 : 19, 6 : 23. What is 3 : ? (a) 10 (b) 11 (c) 12 (d) 8
30. 30.If 9 October is a Tuesday, what day of the week is 25 October? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
31. 31.1/2 + 4/5 = ? (a) 13/10 (b) 7/5 (c) 5/7 (d) 6/5
32. 32.Which of these numbers is divisible by 3? (a) 2087 (b) 2088 (c) 2092 (d) 2089
33. 33.6 workers can build a wall in 8 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 16 days (c) 4 days (d) 5 days
34. 34.Which is the greatest: 0.78, 0.7, 0.084, 0.615? (a) 0.78 (b) 0.7 (c) 0.084 (d) 0.615
35. 35.₹36 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹36 (b) ₹24 (c) ₹12 (d) ₹18
36. 36.If 3x − 5 = 13, what is x? (a) 5 (b) 6 (c) 18 (d) 7
37. 37.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 42 (b) 38 (c) 39 (d) 85
38. 38.What is the average of 25, 26, 18 and 11? (a) 21 (b) 20 (c) 19 (d) 22
39. 39.What is the value of the digit 2 in 13.724? (a) 0.02 (b) 2 (c) 0.002 (d) 0.2
40. 40.If x/2 + 1 = 8, what is x? (a) 18 (b) 7 (c) 15 (d) 14

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