Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 787 · 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.Which is the greatest: 0.7, 0.74, 0.696, 0.037? (a) 0.7 (b) 0.74 (c) 0.696 (d) 0.037
2. 2.What is the smallest number of sweets that can be shared equally among 10 children or among 25 children, with none left over? (a) 250 (b) 50 (c) 100 (d) 35
3. 3.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 41 (b) 20 (c) 14 (d) 13
4. 4.If 3x + 1 = 16, what is x? (a) 5 (b) 4 (c) 6 (d) 15
5. 5.Every pair follows the same rule: 3 : 27, 4 : 64, 5 : 125. What is 6 : ? (a) 30 (b) 54 (c) 216 (d) 186
6. 6.Every pair follows the same rule: 3 : 9, 6 : 36, 8 : 64. What is 4 : ? (a) 12 (b) 10 (c) 8 (d) 16
7. 7.If x/2 + 3 = 15, what is x? (a) 12 (b) 24 (c) 36 (d) 27
8. 8.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 8 cm (b) 6 cm (c) 3 cm (d) 4 cm
9. 9.Every pair follows the same rule: 4 : 12, 5 : 13, 9 : 17. What is 2 : ? (a) 6 (b) 10 (c) 11 (d) 9
10. 10.If 3x + 13 = 31, what is x? (a) 5 (b) 18 (c) 6 (d) 7
11. 11.Two bells ring every 15 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 105 min (b) 315 min (c) 3 min (d) 36 min
12. 12.Every pair follows the same rule: 5 : 23, 6 : 34, 9 : 79. What is 4 : ? (a) 15 (b) 22 (c) 4 (d) 14
13. 13.What is the simple interest on ₹3000 at 7% per year for 2 years? (a) ₹3420 (b) ₹210 (c) ₹420 (d) ₹630
14. 14.Two ribbons are 33 cm and 55 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 33 cm (b) 1 cm (c) 11 cm (d) 22 cm
15. 15.A teacher has 20 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 25 (c) 20 (d) 1
16. 16.Which fraction is greater: 1/3 or 5/12? (a) 5/12 (b) They are equal (c) 1/3
17. 17.If 3 pens cost ₹9, how much do 4 pens cost? (a) ₹15 (b) ₹10 (c) ₹36 (d) ₹12
18. 18.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 12 (b) 23 (c) 13 (d) 24
19. 19.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 20 sq cm (d) 36 sq cm
20. 20.What is 75% of 820? (a) 1230 (b) 205 (c) 615 (d) 6150
21. 21.What is the remainder when 117 is divided by 7? (a) 6 (b) 5 (c) 4 (d) 2
22. 22.If 4 kites cost ₹20, how much do 2 kites cost? (a) ₹40 (b) ₹18 (c) ₹15 (d) ₹10
23. 23.If 16 April is a Sunday, what day of the week is 17 May? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
24. 24.What is 20% of 820? (a) 328 (b) 656 (c) 164 (d) 1640
25. 25.What is the average of all the whole numbers from 24 to 56? (a) 32 (b) 40 (c) 41 (d) 16
26. 26.If 8x − 1 = 15, what is x? (a) 1 (b) 3 (c) 16 (d) 2
27. 27.What is the smallest number you must add to 524 to make it divisible by 7? (a) 3 (b) 2 (c) 1 (d) 6
28. 28.Today is Sunday. What day of the week will it be after 45 days? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
29. 29.What is 5% of 960? (a) 912 (b) 96 (c) 480 (d) 48
30. 30.If 5x + 3 = x + 47, what is x? (a) 10 (b) 13 (c) 12 (d) 11
31. 31.What is 2/5 of 30? (a) 13 (b) 18 (c) 6 (d) 12
32. 32.What is the simple interest on ₹4000 at 12% per year for 4 years? (a) ₹2400 (b) ₹480 (c) ₹1920 (d) ₹5920
33. 33.Every pair follows the same rule: 3 : 21, 4 : 28, 5 : 35. What is 2 : ? (a) 20 (b) 14 (c) 15 (d) 13
34. 34.If 8 pens cost ₹104, how much do 5 pens cost? (a) ₹101 (b) ₹520 (c) ₹78 (d) ₹65
35. 35.₹10000 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹12100 (b) ₹1400 (c) ₹10700 (d) ₹11400
36. 36.Every pair follows the same rule: 3 : 6, 4 : 8, 8 : 16. What is 5 : ? (a) 11 (b) 8 (c) 10 (d) 9
37. 37.Which is the greatest: 0.7, 0.669, 0.026, 0.79? (a) 0.7 (b) 0.669 (c) 0.026 (d) 0.79
38. 38.What is 2/9 of 54? (a) 6 (b) 42 (c) 18 (d) 12
39. 39.Which of these numbers is divisible by 9? (a) 4752 (b) 4768 (c) 4759 (d) 4744
40. 40.Which fraction is greater: 11/12 or 1/9? (a) 11/12 (b) They are equal (c) 1/9

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