Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 581 · 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.Every pair follows the same rule: 2 : 14, 4 : 28, 6 : 42. What is 3 : ? (a) 20 (b) 21 (c) 15 (d) 22
2. 2.What is 2/9 of 99? (a) 77 (b) 33 (c) 11 (d) 22
3. 3.What is the remainder when 171 is divided by 10? (a) 0 (b) 2 (c) 1 (d) 9
4. 4.If 3 kites cost ₹18, how much do 4 kites cost? (a) ₹30 (b) ₹19 (c) ₹24 (d) ₹72
5. 5.₹154 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹14 (b) ₹70 (c) ₹84 (d) ₹77
6. 6.What is 1/2 of 8? (a) 8 (b) 3 (c) 5 (d) 4
7. 7.3.88 + 7.4 = ? (a) 11.28 (b) 11.18 (c) 4.62 (d) 11.38
8. 8.₹270 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹30 (b) ₹60 (c) ₹135 (d) ₹210
9. 9.If 3x − 8 = 4, what is x? (a) 5 (b) 12 (c) 3 (d) 4
10. 10.If 4x + 15 = 35, what is x? (a) 20 (b) 6 (c) 4 (d) 5
11. 11.Every pair follows the same rule: 2 : 9, 4 : 11, 9 : 16. What is 7 : ? (a) 16 (b) 13 (c) 15 (d) 14
12. 12.Every pair follows the same rule: 2 : 4, 3 : 9, 8 : 64. What is 5 : ? (a) 10 (b) 31 (c) 7 (d) 25
13. 13.Which fraction is greater: 2/9 or 3/5? (a) 3/5 (b) 2/9 (c) They are equal
14. 14.1/2 + 1/3 = ? (a) 1 (b) 5/6 (c) 2/5 (d) 2/3
15. 15.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 65 (b) 36 (c) 64 (d) 32
16. 16.Every pair follows the same rule: 5 : 11, 6 : 14, 9 : 23. What is 8 : ? (a) 14 (b) 21 (c) 19 (d) 20
17. 17.5.97 + 6.7 = ? (a) 12.57 (b) 12.77 (c) 12.67 (d) 6.64
18. 18.A teacher has 24 pencils and 84 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 24 (c) 60 (d) 6
19. 19.1.21 + 7.4 = ? (a) 1.95 (b) 8.61 (c) 8.51 (d) 8.71
20. 20.Every pair follows the same rule: 4 : 14, 6 : 34, 8 : 62. What is 2 : ? (a) 3 (b) 1 (c) 2 (d) 12
21. 21.Which is the smallest: 0.61, 0.067, 0.582, 0.6? (a) 0.61 (b) 0.067 (c) 0.582 (d) 0.6
22. 22.What is the value of the digit 9 in 41.976? (a) 0.09 (b) 9 (c) 0.9 (d) 0.009
23. 23.Every pair follows the same rule: 3 : 12, 4 : 16, 7 : 28. What is 5 : ? (a) 14 (b) 21 (c) 20 (d) 19
24. 24.What is the smallest number of sweets that can be shared equally among 15 children or among 20 children, with none left over? (a) 35 (b) 300 (c) 60 (d) 120
25. 25.A teacher has 21 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 21 (b) 168 (c) 3 (d) 1
26. 26.Two ribbons are 20 cm and 24 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 120 cm (b) 2 cm (c) 4 cm (d) 20 cm
27. 27.What is the smallest number you must add to 382 to make it divisible by 6? (a) 1 (b) 3 (c) 4 (d) 2
28. 28.Which fraction is greater: 1/7 or 2/3? (a) They are equal (b) 1/7 (c) 2/3
29. 29.Every pair follows the same rule: 2 : 4, 5 : 25, 7 : 49. What is 6 : ? (a) 36 (b) 8 (c) 12 (d) 37
30. 30.What is the smallest number you must add to 317 to make it divisible by 5? (a) 3 (b) 2 (c) 1 (d) 4
31. 31.A bag marked ₹600 is sold at a 40% discount. What is its selling price? (a) ₹360 (b) ₹560 (c) ₹240 (d) ₹840
32. 32.Every pair follows the same rule: 4 : 25, 5 : 34, 9 : 90. What is 8 : ? (a) 76 (b) 74 (c) 73 (d) 29
33. 33.A bag marked ₹1420 is sold at a 15% discount. What is its selling price? (a) ₹1405 (b) ₹1633 (c) ₹213 (d) ₹1207
34. 34.5/6 + 8/9 = ? (a) 13/15 (b) 5/3 (c) 31/18 (d) 16/9
35. 35.What is the units digit of 7^57? (a) 7 (b) 9 (c) 1 (d) 3
36. 36.Every pair follows the same rule: 4 : 12, 5 : 15, 6 : 18. What is 2 : ? (a) 10 (b) 5 (c) 7 (d) 6
37. 37.Every pair follows the same rule: 2 : 10, 4 : 12, 5 : 13. What is 7 : ? (a) 16 (b) 35 (c) 14 (d) 15
38. 38.A teacher has 63 pencils and 72 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 504 (b) 9 (c) 63 (d) 3
39. 39.5.39 + 5.8 = ? (a) 11.09 (b) 11.19 (c) 11.29 (d) 5.97
40. 40.If 23 September is a Tuesday, what day of the week is 20 October? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday

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