Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 737 · 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.The simple interest on ₹7000 for 2 years is ₹420. What is the rate per year? (a) 4% (b) 3% (c) 6% (d) 2%
2. 2.A shopkeeper buys a toy for ₹780 and sells it for ₹1092. What is his profit percent? (a) 41% (b) 35% (c) 45% (d) 40%
3. 3.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 100 sq cm (d) 20 sq cm
4. 4.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 6 cm (c) 2 cm (d) 3 cm
5. 5.₹1000 is invested at 11% per year simple interest. What is the amount after 5 years? (a) ₹1110 (b) ₹1550 (c) ₹1660 (d) ₹550
6. 6.What is the average of 45, 61, 41 and 77? (a) 57 (b) 55 (c) 58 (d) 56
7. 7.What is 1/3 of 12? (a) 8 (b) 3 (c) 4 (d) 5
8. 8.A teacher has 10 pencils and 14 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 1 (c) 4 (d) 10
9. 9.If 7x − 12 = 2, what is x? (a) 1 (b) 2 (c) 3 (d) 14
10. 10.Every pair follows the same rule: 3 : 27, 8 : 72, 9 : 81. What is 2 : ? (a) 26 (b) 19 (c) 18 (d) 17
11. 11.A shopkeeper buys a toy for ₹820 and sells it for ₹656. What is his loss percent? (a) 21% (b) 15% (c) 20% (d) 25%
12. 12.If 8 mangoes cost ₹56, how much do 11 mangoes cost? (a) ₹84 (b) ₹77 (c) ₹616 (d) ₹59
13. 13.Today is Tuesday. What day of the week will it be after 78 days? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
14. 14.A shopkeeper buys a toy for ₹740 and sells it for ₹814. What is his profit percent? (a) 5% (b) 74% (c) 10% (d) 15%
15. 15.6 workers can build a wall in 6 days. How many days will 4 workers take, working at the same speed? (a) 8 days (b) 9 days (c) 10 days (d) 4 days
16. 16.Every pair follows the same rule: 2 : 18, 4 : 20, 7 : 23. What is 9 : ? (a) 25 (b) 81 (c) 26 (d) 24
17. 17.What is the units digit of 2^31? (a) 4 (b) 2 (c) 8 (d) 6
18. 18.If 4 mangoes cost ₹48, how much do 10 mangoes cost? (a) ₹132 (b) ₹480 (c) ₹120 (d) ₹54
19. 19.Every pair follows the same rule: 4 : 12, 8 : 24, 9 : 27. What is 5 : ? (a) 14 (b) 13 (c) 16 (d) 15
20. 20.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 24 (b) 20 (c) 96 (d) 48
21. 21.Which is the greatest: 0.26, 0.135, 0.2, 0.086? (a) 0.26 (b) 0.135 (c) 0.2 (d) 0.086
22. 22.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 11 sq cm (c) 27 sq cm (d) 22 sq cm
23. 23.What is the remainder when 208 is divided by 3? (a) 1 (b) 0 (c) 2
24. 24.If 6x + 6 = 2x + 34, what is x? (a) 8 (b) 7 (c) 9 (d) 10
25. 25.3.14 + 2.3 = ? (a) 5.34 (b) 3.37 (c) 5.54 (d) 5.44
26. 26.A shopkeeper buys a toy for ₹300 and sells it for ₹345. What is his profit percent? (a) 45% (b) 10% (c) 20% (d) 15%
27. 27.9 workers can build a wall in 7 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 22 days (c) 21 days (d) 1 day
28. 28.What is the smallest number of sweets that can be shared equally among 20 children or among 25 children, with none left over? (a) 45 (b) 500 (c) 200 (d) 100
29. 29.1.85 + 4.5 = ? (a) 6.45 (b) 2.3 (c) 6.25 (d) 6.35
30. 30.₹5000 is invested at 5% per year simple interest. What is the amount after 4 years? (a) ₹6250 (b) ₹6000 (c) ₹1000 (d) ₹5250
31. 31.Every pair follows the same rule: 2 : 9, 4 : 21, 7 : 54. What is 6 : ? (a) 13 (b) 42 (c) 41 (d) 43
32. 32.Which of these numbers is divisible by 4? (a) 901 (b) 895 (c) 896 (d) 897
33. 33.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) 10 cm (d) 60 cm
34. 34.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 65 (b) 44 (c) 51 (d) 28
35. 35.₹1000 is invested at 4% per year simple interest. What is the amount after 2 years? (a) ₹1040 (b) ₹80 (c) ₹1120 (d) ₹1080
36. 36.A shopkeeper buys a toy for ₹240 and sells it for ₹192. What is his loss percent? (a) 20% (b) 15% (c) 25% (d) 48%
37. 37.Every pair follows the same rule: 4 : 12, 7 : 21, 8 : 24. What is 6 : ? (a) 18 (b) 17 (c) 19 (d) 14
38. 38.1/2 + 1/5 = ? (a) 3/5 (b) 7/10 (c) 2/7 (d) 4/5
39. 39.4.27 + 5.5 = ? (a) 9.87 (b) 9.67 (c) 9.77 (d) 4.82
40. 40.If 6x + 27 = 45, what is x? (a) 4 (b) 18 (c) 3 (d) 12

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