Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 708 · 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.Two ribbons are 66 cm and 77 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 66 cm (c) 11 cm (d) 462 cm
2. 2.₹5500 is invested at 8% per year simple interest. What is the amount after 2 years? (a) ₹880 (b) ₹5940 (c) ₹6820 (d) ₹6380
3. 3.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 9 cm (c) 160 cm (d) 18 cm
4. 4.Every pair follows the same rule: 3 : 15, 5 : 17, 6 : 18. What is 9 : ? (a) 20 (b) 45 (c) 21 (d) 22
5. 5.Two ribbons are 20 cm and 30 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 20 cm (c) 60 cm (d) 10 cm
6. 6.If 3x − 18 = 15, what is x? (a) 33 (b) 12 (c) 10 (d) 11
7. 7.Which fraction is greater: 1/5 or 1/3? (a) They are equal (b) 1/3 (c) 1/5
8. 8.What is 1/2 of 18? (a) 10 (b) 8 (c) 18 (d) 9
9. 9.What is the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 22 (b) 112 (c) 57 (d) 56
10. 10.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 300 min (b) 35 min (c) 60 min (d) 5 min
11. 11.What is the smallest number you must add to 255 to make it divisible by 4? (a) 3 (b) 2 (c) 1
12. 12.Today is Saturday. What day of the week will it be after 41 days? (a) Saturday (b) Sunday (c) Thursday (d) Friday
13. 13.Every pair follows the same rule: 6 : 31, 7 : 35, 9 : 43. What is 5 : ? (a) 27 (b) 30 (c) 26 (d) 28
14. 14.Every pair follows the same rule: 2 : 10, 5 : 13, 6 : 14. What is 7 : ? (a) 14 (b) 16 (c) 15 (d) 35
15. 15.Which is the smallest: 0.7, 0.673, 0.083, 0.75? (a) 0.7 (b) 0.673 (c) 0.083 (d) 0.75
16. 16.Every pair follows the same rule: 4 : 25, 5 : 34, 9 : 90. What is 3 : ? (a) 6 (b) 18 (c) 19 (d) 24
17. 17.What is the average of 70, 61, 54, 55, 47 and 61? (a) 58 (b) 60 (c) 59 (d) 57
18. 18.What is the smallest number of sweets that can be shared equally among 20 children or among 28 children, with none left over? (a) 48 (b) 560 (c) 280 (d) 140
19. 19.A shopkeeper buys a toy for ₹900 and sells it for ₹630. What is his loss percent? (a) 25% (b) 35% (c) 31% (d) 30%
20. 20.If 4x − 3 = 17, what is x? (a) 6 (b) 4 (c) 5 (d) 20
21. 21.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
22. 22.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 12 min (c) 2 min (d) 10 min
23. 23.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 49 (b) 24 (c) 65 (d) 45
24. 24.What is the average of 18, 20, 17, 31, 20 and 44? (a) 25 (b) 24 (c) 26 (d) 30
25. 25.Today is Sunday. What day of the week will it be after 26 days? (a) Friday (b) Saturday (c) Sunday (d) Thursday
26. 26.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 27 sq cm (c) 12 sq cm (d) 24 sq cm
27. 27.1/9 + 2/4 = ? (a) 7/12 (b) 3/13 (c) 23/36 (d) 11/18
28. 28.If 4x + 3 = 23, what is x? (a) 4 (b) 6 (c) 20 (d) 5
29. 29.6.44 + 8.3 = ? (a) 14.64 (b) 14.84 (c) 14.74 (d) 7.27
30. 30.If 22 November is a Wednesday, what day of the week is 5 December? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
31. 31.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 18 cm (c) 22 cm (d) 11 cm
32. 32.If x/2 + 14 = 22, what is x? (a) 30 (b) 72 (c) 16 (d) 8
33. 33.If 7 pens cost ₹21, how much do 8 pens cost? (a) ₹27 (b) ₹22 (c) ₹24 (d) ₹168
34. 34.What is the units digit of 8^49? (a) 6 (b) 4 (c) 8 (d) 2
35. 35.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 5 cm
36. 36.What is the average of 63, 71, 66, 82 and 98? (a) 76 (b) 95 (c) 77 (d) 75
37. 37.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 25 cm (d) 33 cm
38. 38.Which is the smallest: 0.522, 0.67, 0.067, 0.6? (a) 0.522 (b) 0.67 (c) 0.067 (d) 0.6
39. 39.₹322 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹46 (b) ₹138 (c) ₹184 (d) ₹161
40. 40.1/4 + 2/4 = ? (a) 1 (b) 3/8 (c) 3/4 (d) 1/2

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