Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 56 · 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 45 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) 27 cm (b) 3 cm (c) 45 cm (d) 9 cm
2. 2.Every pair follows the same rule: 3 : 24, 5 : 40, 9 : 72. What is 6 : ? (a) 49 (b) 27 (c) 47 (d) 48
3. 3.Two bells ring every 6 minutes and every 9 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 54 min (b) 3 min (c) 18 min (d) 15 min
4. 4.What is 1/2 of 10? (a) 10 (b) 6 (c) 4 (d) 5
5. 5.What is the simple interest on ₹4000 at 7% per year for 2 years? (a) ₹840 (b) ₹560 (c) ₹4560 (d) ₹280
6. 6.If 8 October is a Saturday, what day of the week is 20 October? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
7. 7.A shopkeeper buys a toy for ₹500 and sells it for ₹600. What is his profit percent? (a) 20% (b) 15% (c) 25% (d) 21%
8. 8.₹2500 is invested at 3% per year simple interest. What is the amount after 2 years? (a) ₹2650 (b) ₹150 (c) ₹2725 (d) ₹2575
9. 9.What is the simple interest on ₹3500 at 8% per year for 2 years? (a) ₹560 (b) ₹4060 (c) ₹280 (d) ₹840
10. 10.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 224 (b) 112 (c) 56 (d) 36
11. 11.If 3 May is a Tuesday, what day of the week is 11 May? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
12. 12.A teacher has 8 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 28 (c) 4 (d) 8
13. 13.What is the average of 24, 32, 33 and 47? (a) 34 (b) 36 (c) 33 (d) 35
14. 14.If 14 March is a Sunday, what day of the week is 24 March? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
15. 15.If 5x + 18 = 48, what is x? (a) 30 (b) 7 (c) 6 (d) 5
16. 16.The simple interest on ₹3500 for 2 years is ₹350. What is the rate per year? (a) 4% (b) 5% (c) 6% (d) 10%
17. 17.If x/6 + 1 = 3, what is x? (a) 2 (b) 24 (c) 12 (d) 17
18. 18.If 4x − 16 = 32, what is x? (a) 48 (b) 12 (c) 13 (d) 4
19. 19.₹8000 is invested at 3% per year simple interest. What is the amount after 2 years? (a) ₹8480 (b) ₹8240 (c) ₹480 (d) ₹8720
20. 20.What is the average of 20, 47, 35, 37, 33 and 32? (a) 36 (b) 35 (c) 33 (d) 34
21. 21.If 3 March is a Sunday, what day of the week is 13 March? (a) Tuesday (b) Friday (c) Thursday (d) Wednesday
22. 22.1.25 + 6.4 = ? (a) 7.55 (b) 7.75 (c) 1.89 (d) 7.65
23. 23.What is the average of all the whole numbers from 23 to 43? (a) 33 (b) 34 (c) 20 (d) 10
24. 24.Every pair follows the same rule: 2 : 1, 3 : 6, 7 : 46. What is 5 : ? (a) 22 (b) 23 (c) 21 (d) 26
25. 25.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 42 cm (b) 8 cm (c) 5 cm (d) 4 cm
26. 26.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 99 cm (b) 20 cm (c) 31 cm (d) 40 cm
27. 27.What is the units digit of 9^37? (a) 7 (b) 9 (c) 1 (d) 8
28. 28.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 97 (b) 27 (c) 47 (d) 26
29. 29.A shopkeeper buys a toy for ₹280 and sells it for ₹294. What is his profit percent? (a) 14% (b) 10% (c) 5% (d) 6%
30. 30.Every pair follows the same rule: 3 : 6, 5 : 14, 7 : 22. What is 8 : ? (a) 26 (b) 11 (c) 16 (d) 27
31. 31.7.97 + 8.4 = ? (a) 16.47 (b) 8.81 (c) 16.27 (d) 16.37
32. 32.Every pair follows the same rule: 2 : 8, 5 : 125, 6 : 216. What is 1 : ? (a) 2 (b) 1 (c) 7 (d) 4
33. 33.If 1 August is a Sunday, what day of the week is 15 August? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
34. 34.What is the average of 25, 17, 23 and 27? (a) 22 (b) 24 (c) 23 (d) 25
35. 35.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 18 cm (c) 22 cm (d) 11 cm
36. 36.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
37. 37.A shopkeeper buys a toy for ₹760 and sells it for ₹722. What is his loss percent? (a) 38% (b) 6% (c) 10% (d) 5%
38. 38.What is the value of the digit 3 in 38.419? (a) 0.3 (b) 0.03 (c) 30 (d) 3
39. 39.If 13 December is a Saturday, what day of the week is 25 December? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
40. 40.A teacher has 24 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 12 (c) 24 (d) 72

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