Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 892 · 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.₹6000 is invested at 8% per year simple interest. What is the amount after 4 years? (a) ₹8400 (b) ₹7920 (c) ₹6480 (d) ₹1920
2. 2.If 19 November is a Monday, what day of the week is 12 December? (a) Wednesday (b) Thursday (c) Friday (d) Tuesday
3. 3.Two ribbons are 48 cm and 108 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 12 cm (c) 60 cm (d) 48 cm
4. 4.What is 20% of 800? (a) 160 (b) 1600 (c) 640 (d) 320
5. 5.Which is the greatest: 0.222, 0.3, 0.35, 0.023? (a) 0.222 (b) 0.3 (c) 0.35 (d) 0.023
6. 6.If 7 May is a Wednesday, what day of the week is 22 May? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
7. 7.Which of these numbers is divisible by 4? (a) 1440 (b) 1445 (c) 1438 (d) 1442
8. 8.What is 1/2 of 24? (a) 24 (b) 12 (c) 11 (d) 13
9. 9.If 4x + 14 = 26, what is x? (a) 4 (b) 3 (c) 12 (d) 10
10. 10.Today is Saturday. What day of the week will it be after 81 days? (a) Wednesday (b) Friday (c) Thursday (d) Tuesday
11. 11.In how many years will ₹6500 earn ₹780 simple interest at 4% per year? (a) 6 years (b) 4 years (c) 2 years (d) 3 years
12. 12.What is the average of all the whole numbers from 44 to 64? (a) 20 (b) 55 (c) 54 (d) 10
13. 13.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 44 sq cm (b) 60 sq cm (c) 40 sq cm (d) 22 sq cm
14. 14.₹455 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹140 (b) ₹35 (c) ₹350 (d) ₹315
15. 15.A teacher has 32 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 8 (b) 32 (c) 24 (d) 4
16. 16.What is the smallest number of sweets that can be shared equally among 9 children or among 21 children, with none left over? (a) 126 (b) 63 (c) 189 (d) 30
17. 17.Which of these numbers is divisible by 6? (a) 3024 (b) 3034 (c) 3029 (d) 3019
18. 18.If 9x − 36 = 9, what is x? (a) 4 (b) 45 (c) 6 (d) 5
19. 19.If 5 kites cost ₹95, how much do 2 kites cost? (a) ₹190 (b) ₹57 (c) ₹92 (d) ₹38
20. 20.Which is the smallest: 0.437, 0.028, 0.55, 0.5? (a) 0.437 (b) 0.028 (c) 0.55 (d) 0.5
21. 21.Which of these numbers is divisible by 3? (a) 329 (b) 326 (c) 327 (d) 331
22. 22.What is the average of 47, 46, 53, 59 and 45? (a) 51 (b) 50 (c) 52 (d) 49
23. 23.Every pair follows the same rule: 3 : 19, 7 : 23, 8 : 24. What is 2 : ? (a) 20 (b) 19 (c) 18 (d) 17
24. 24.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 162 cm (b) 11 cm (c) 10 cm (d) 20 cm
25. 25.3/7 + 2/7 = ? (a) 4/7 (b) 5/14 (c) 6/7 (d) 5/7
26. 26.The simple interest on ₹7500 for 3 years is ₹2700. What is the rate per year? (a) 11% (b) 13% (c) 12% (d) 36%
27. 27.What is 8/9 of 27? (a) 3 (b) 27 (c) 24 (d) 25
28. 28.What is 1/2 of 6? (a) 3 (b) 6 (c) 4 (d) 2
29. 29.What is the remainder when 594 is divided by 10? (a) 5 (b) 4 (c) 6 (d) 3
30. 30.If x/4 + 7 = 10, what is x? (a) 3 (b) 68 (c) 12 (d) 33
31. 31.What is the average of 33, 22, 27, 7 and 16? (a) 20 (b) 22 (c) 23 (d) 21
32. 32.If 2x + 18 = 44, what is x? (a) 26 (b) 31 (c) 14 (d) 13
33. 33.Which fraction is greater: 1/4 or 1/12? (a) 1/12 (b) 1/4 (c) They are equal
34. 34.Which of these numbers is divisible by 3? (a) 2321 (b) 2327 (c) 2322 (d) 2323
35. 35.1/3 + 2/4 = ? (a) 3/7 (b) 5/6 (c) 3/4 (d) 11/12
36. 36.If 2 pens cost ₹26, how much do 3 pens cost? (a) ₹78 (b) ₹39 (c) ₹52 (d) ₹27
37. 37.What is the remainder when 424 is divided by 7? (a) 3 (b) 4 (c) 6 (d) 5
38. 38.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 30 (b) 42 (c) 66 (d) 48
39. 39.If 6x + 20 = x + 50, what is x? (a) 6 (b) 7 (c) 14 (d) 8
40. 40.1.19 + 7.4 = ? (a) 1.93 (b) 8.69 (c) 8.59 (d) 8.49

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