Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 811 · 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 value of the digit 8 in 75.683? (a) 0.8 (b) 0.008 (c) 8 (d) 0.08
2. 2.Which of these numbers is divisible by 3? (a) 2152 (b) 2150 (c) 2156 (d) 2151
3. 3.What is 1/3 of 27? (a) 18 (b) 10 (c) 9 (d) 8
4. 4.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 25 sq cm (d) 36 sq cm
5. 5.Which is the greatest: 0.771, 0.8, 0.81, 0.032? (a) 0.771 (b) 0.8 (c) 0.81 (d) 0.032
6. 6.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 49 sq cm (d) 24 sq cm
7. 7.If 8 pens cost ₹40, how much do 6 pens cost? (a) ₹38 (b) ₹30 (c) ₹35 (d) ₹240
8. 8.Which is the greatest: 0.27, 0.015, 0.139, 0.2? (a) 0.27 (b) 0.015 (c) 0.139 (d) 0.2
9. 9.What is the average of 44, 31, 52, 40 and 63? (a) 47 (b) 48 (c) 46 (d) 45
10. 10.If 7x + 17 = x + 35, what is x? (a) 2 (b) 5 (c) 3 (d) 4
11. 11.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
12. 12.Today is Friday. What day of the week will it be after 87 days? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
13. 13.Every pair follows the same rule: 4 : 5, 5 : 7, 6 : 9. What is 8 : ? (a) 9 (b) 13 (c) 14 (d) 12
14. 14.Which is the greatest: 0.8, 0.044, 0.724, 0.82? (a) 0.8 (b) 0.044 (c) 0.724 (d) 0.82
15. 15.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 22 sq cm (d) 121 sq cm
16. 16.Every pair follows the same rule: 2 : 8, 4 : 64, 5 : 125. What is 1 : ? (a) 7 (b) 1 (c) 4 (d) 2
17. 17.A teacher has 20 pencils and 32 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 20 (b) 2 (c) 4 (d) 12
18. 18.₹450 is shared between two friends in the ratio 2 : 7. How much is the bigger share? (a) ₹350 (b) ₹225 (c) ₹100 (d) ₹50
19. 19.What is 60% of 840? (a) 336 (b) 1008 (c) 5040 (d) 504
20. 20.Every pair follows the same rule: 4 : 12, 8 : 16, 9 : 17. What is 2 : ? (a) 6 (b) 11 (c) 10 (d) 9
21. 21.What is the average of all the whole numbers from 33 to 71? (a) 52 (b) 19 (c) 53 (d) 38
22. 22.A shopkeeper buys a toy for ₹580 and sells it for ₹464. What is his loss percent? (a) 21% (b) 15% (c) 20% (d) 25%
23. 23.What is 10% of 160? (a) 160 (b) 32 (c) 16 (d) 144
24. 24.₹55 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹5 (b) ₹15 (c) ₹45 (d) ₹40
25. 25.What is the smallest number of sweets that can be shared equally among 18 children or among 42 children, with none left over? (a) 756 (b) 252 (c) 60 (d) 126
26. 26.9.71 + 2.2 = ? (a) 11.81 (b) 12.01 (c) 9.93 (d) 11.91
27. 27.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 8 (b) 42 (c) 48 (d) 44
28. 28.What is 2/3 of 36? (a) 12 (b) 24 (c) 36 (d) 25
29. 29.₹368 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹46 (b) ₹138 (c) ₹230 (d) ₹184
30. 30.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 34 (c) 40 (d) 12
31. 31.Which of these numbers is divisible by 11? (a) 6864 (b) 6860 (c) 6870 (d) 6885
32. 32.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 4 : ? (a) 4 (b) 34 (c) 65 (d) 64
33. 33.Today is Thursday. What day of the week will it be after 57 days? (a) Thursday (b) Sunday (c) Saturday (d) Friday
34. 34.What is the simple interest on ₹1500 at 5% per year for 3 years? (a) ₹300 (b) ₹75 (c) ₹1725 (d) ₹225
35. 35.3 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 7 days (b) 6 days (c) 3 days (d) 5 days
36. 36.Which fraction is greater: 3/4 or 5/7? (a) 3/4 (b) They are equal (c) 5/7
37. 37.Two ribbons are 56 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 56 cm (c) 4 cm (d) 16 cm
38. 38.If 3x + 15 = 2x + 23, what is x? (a) 9 (b) 8 (c) 10 (d) 38
39. 39.What is the average of 50, 39, 50 and 45? (a) 45 (b) 48 (c) 46 (d) 47
40. 40.If 8 kites cost ₹64, how much do 5 kites cost? (a) ₹320 (b) ₹40 (c) ₹48 (d) ₹61

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