Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 616 · 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: 4 : 18, 6 : 26, 9 : 38. What is 2 : ? (a) 9 (b) 16 (c) 10 (d) 11
2. 2.Every pair follows the same rule: 1 : 1, 2 : 8, 5 : 125. What is 6 : ? (a) 164 (b) 217 (c) 216 (d) 6
3. 3.Which is the smallest: 0.2, 0.23, 0.036, 0.142? (a) 0.2 (b) 0.23 (c) 0.036 (d) 0.142
4. 4.₹198 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹110 (b) ₹99 (c) ₹22 (d) ₹88
5. 5.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 5 cm (c) 36 cm (d) 8 cm
6. 6.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 2 cm (c) 19 cm (d) 3 cm
7. 7.If x/3 + 7 = 15, what is x? (a) 8 (b) 66 (c) 38 (d) 24
8. 8.Every pair follows the same rule: 2 : 12, 7 : 42, 8 : 48. What is 5 : ? (a) 15 (b) 31 (c) 29 (d) 30
9. 9.A teacher has 18 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 18 (c) 27 (d) 9
10. 10.₹3500 is invested at 3% per year simple interest. What is the amount after 2 years? (a) ₹210 (b) ₹3815 (c) ₹3710 (d) ₹3605
11. 11.If x/6 + 15 = 19, what is x? (a) 4 (b) 99 (c) 204 (d) 24
12. 12.1/4 + 2/5 = ? (a) 3/5 (b) 13/20 (c) 7/10 (d) 1/3
13. 13.Which fraction is greater: 1/8 or 8/9? (a) 1/8 (b) They are equal (c) 8/9
14. 14.Every pair follows the same rule: 2 : 8, 3 : 27, 5 : 125. What is 1 : ? (a) 2 (b) 1 (c) 4 (d) 7
15. 15.If 5x + 8 = 53, what is x? (a) 9 (b) 10 (c) 8 (d) 45
16. 16.If 15 May is a Wednesday, what day of the week is 30 May? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
17. 17.In how many years will ₹8500 earn ₹1700 simple interest at 10% per year? (a) 4 years (b) 2 years (c) 3 years (d) 1 year
18. 18.What is 1/6 of 30? (a) 10 (b) 25 (c) 6 (d) 5
19. 19.Every pair follows the same rule: 3 : 12, 5 : 28, 7 : 52. What is 8 : ? (a) 17 (b) 64 (c) 67 (d) 32
20. 20.If 3x + 6 = x + 10, what is x? (a) 2 (b) 1 (c) 3 (d) 8
21. 21.A shopkeeper buys a toy for ₹480 and sells it for ₹552. What is his profit percent? (a) 20% (b) 15% (c) 10% (d) 72%
22. 22.A shopkeeper buys a toy for ₹660 and sells it for ₹495. What is his loss percent? (a) 20% (b) 25% (c) 26% (d) 30%
23. 23.What is the smallest number of sweets that can be shared equally among 6 children or among 8 children, with none left over? (a) 25 (b) 14 (c) 48 (d) 24
24. 24.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 96 sq cm (b) 44 sq cm (c) 112 sq cm (d) 22 sq cm
25. 25.A shopkeeper buys a toy for ₹840 and sells it for ₹672. What is his loss percent? (a) 25% (b) 15% (c) 21% (d) 20%
26. 26.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 3 (b) 50 (c) 23 (d) 4
27. 27.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 66 cm (c) 14 cm (d) 7 cm
28. 28.The simple interest on ₹8500 for 5 years is ₹2550. What is the rate per year? (a) 6% (b) 7% (c) 30% (d) 5%
29. 29.Two ribbons are 24 cm and 32 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 8 cm (c) 96 cm (d) 24 cm
30. 30.Two bells ring every 18 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 126 min (b) 60 min (c) 756 min (d) 6 min
31. 31.7.18 + 1.8 = ? (a) 9.08 (b) 7.36 (c) 8.98 (d) 8.88
32. 32.In how many years will ₹1500 earn ₹120 simple interest at 2% per year? (a) 8 years (b) 4 years (c) 3 years (d) 5 years
33. 33.A shopkeeper buys a toy for ₹280 and sells it for ₹322. What is his profit percent? (a) 15% (b) 10% (c) 20% (d) 42%
34. 34.What is the value of the digit 4 in 84.162? (a) 4 (b) 0.4 (c) 40 (d) 0.04
35. 35.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 15 (b) 8 (c) 7 (d) 32
36. 36.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 5 cm
37. 37.What is the units digit of 9^55? (a) 7 (b) 8 (c) 9 (d) 1
38. 38.If 3x + 17 = x + 23, what is x? (a) 20 (b) 4 (c) 5 (d) 3
39. 39.Every pair follows the same rule: 2 : 7, 4 : 15, 9 : 35. What is 3 : ? (a) 11 (b) 8 (c) 12 (d) 10
40. 40.Today is Sunday. What day of the week will it be after 49 days? (a) Monday (b) Tuesday (c) Sunday (d) Saturday

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