Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 850 · 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 average of all the whole numbers from 27 to 43? (a) 35 (b) 16 (c) 36 (d) 8
2. 2.If 26 May is a Thursday, what day of the week is 5 June? (a) Tuesday (b) Monday (c) Saturday (d) Sunday
3. 3.Which fraction is greater: 2/3 or 2/11? (a) 2/11 (b) They are equal (c) 2/3
4. 4.If x/3 + 8 = 15, what is x? (a) 7 (b) 69 (c) 37 (d) 21
5. 5.Every pair follows the same rule: 2 : 4, 7 : 49, 9 : 81. What is 6 : ? (a) 36 (b) 12 (c) 8 (d) 33
6. 6.What is 1/4 of 8? (a) 4 (b) 2 (c) 6 (d) 3
7. 7.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 6 days (b) 7 days (c) 8 days (d) 3 days
8. 8.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 40 sq cm (d) 20 sq cm
9. 9.What is the smallest number of sweets that can be shared equally among 12 children or among 20 children, with none left over? (a) 240 (b) 120 (c) 32 (d) 60
10. 10.What is the smallest number you must add to 424 to make it divisible by 9? (a) 8 (b) 7 (c) 1 (d) 6
11. 11.What is the simple interest on ₹2500 at 4% per year for 5 years? (a) ₹600 (b) ₹500 (c) ₹100 (d) ₹3000
12. 12.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 12 cm (c) 35 cm (d) 24 cm
13. 13.Every pair follows the same rule: 3 : 27, 7 : 63, 9 : 81. What is 2 : ? (a) 19 (b) 26 (c) 17 (d) 18
14. 14.A teacher has 48 pencils and 84 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 48 (b) 36 (c) 6 (d) 12
15. 15.Which of these numbers is divisible by 3? (a) 1210 (b) 1204 (c) 1206 (d) 1207
16. 16.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 24 (b) 58 (c) 64 (d) 76
17. 17.What is 3/4 of 32? (a) 8 (b) 25 (c) 32 (d) 24
18. 18.A bag marked ₹360 is sold at a 10% discount. What is its selling price? (a) ₹324 (b) ₹36 (c) ₹396 (d) ₹350
19. 19.Every pair follows the same rule: 3 : 4, 4 : 6, 9 : 16. What is 6 : ? (a) 10 (b) 9 (c) 7 (d) 11
20. 20.What is the smallest number of sweets that can be shared equally among 18 children or among 21 children, with none left over? (a) 39 (b) 126 (c) 252 (d) 378
21. 21.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 35 cm (d) 75 cm
22. 22.If x/2 + 9 = 12, what is x? (a) 42 (b) 15 (c) 6 (d) 3
23. 23.In how many years will ₹7000 earn ₹2520 simple interest at 12% per year? (a) 6 years (b) 4 years (c) 3 years (d) 2 years
24. 24.Every pair follows the same rule: 2 : 7, 4 : 19, 9 : 84. What is 5 : ? (a) 32 (b) 28 (c) 29 (d) 10
25. 25.8.22 + 1.5 = ? (a) 9.62 (b) 9.82 (c) 9.72 (d) 8.37
26. 26.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 65 (b) 95 (c) 20 (d) 50
27. 27.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 14 (b) 39 (c) 52 (d) 27
28. 28.₹208 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹16 (b) ₹80 (c) ₹104 (d) ₹128
29. 29.A batter has an average of 35 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 49 (c) 78 (d) 77
30. 30.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
31. 31.What is the remainder when 686 is divided by 9? (a) 3 (b) 1 (c) 7 (d) 2
32. 32.Which of these numbers is divisible by 8? (a) 1890 (b) 1880 (c) 1884 (d) 1876
33. 33.What is the average of all the whole numbers from 43 to 75? (a) 32 (b) 59 (c) 60 (d) 16
34. 34.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 19 cm (b) 32 cm (c) 78 cm (d) 38 cm
35. 35.If 19 July is a Thursday, what day of the week is 8 August? (a) Tuesday (b) Friday (c) Wednesday (d) Thursday
36. 36.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 190 cm (c) 22 cm (d) 11 cm
37. 37.A bag marked ₹880 is sold at a 25% discount. What is its selling price? (a) ₹855 (b) ₹660 (c) ₹220 (d) ₹1100
38. 38.If 8 October is a Wednesday, what day of the week is 21 October? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
39. 39.What is the remainder when 800 is divided by 12? (a) 7 (b) 4 (c) 8 (d) 9
40. 40.Every pair follows the same rule: 4 : 23, 7 : 35, 8 : 39. What is 3 : ? (a) 22 (b) 20 (c) 18 (d) 19

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