Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 678 · 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. 1.6 workers can build a wall in 14 days. How many days will 12 workers take, working at the same speed? (a) 28 days (b) 20 days (c) 8 days (d) 7 days
2. 2.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 4 (b) 58 (c) 3 (d) 27
3. 3.If 3 August is a Tuesday, what day of the week is 17 August? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
4. 4.What is the average of all the whole numbers from 50 to 76? (a) 64 (b) 13 (c) 26 (d) 63
5. 5.₹8500 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹8670 (b) ₹9010 (c) ₹9180 (d) ₹510
6. 6.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 27 cm (b) 180 cm (c) 42 cm (d) 54 cm
7. 7.If 3x + 27 = 69, what is x? (a) 32 (b) 42 (c) 14 (d) 15
8. 8.What is the smallest number you must add to 387 to make it divisible by 12? (a) 8 (b) 9 (c) 3 (d) 10
9. 9.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 28 (b) 35 (c) 66 (d) 59
10. 10.The simple interest on ₹4500 for 3 years is ₹1485. What is the rate per year? (a) 12% (b) 33% (c) 11% (d) 10%
11. 11.Today is Saturday. What day of the week will it be after 23 days? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
12. 12.What is the value of the digit 6 in 67.285? (a) 0.6 (b) 0.06 (c) 60 (d) 6
13. 13.Which is the smallest: 0.024, 0.23, 0.196, 0.2? (a) 0.024 (b) 0.23 (c) 0.196 (d) 0.2
14. 14.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 66? (a) 72 (b) 66 (c) 74 (d) 130
15. 15.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 15 cm (c) 30 cm (d) 56 cm
16. 16.If 8x − 19 = 85, what is x? (a) 14 (b) 104 (c) 13 (d) 12
17. 17.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 121 sq cm (c) 110 sq cm (d) 42 sq cm
18. 18.If 2 January is a Monday, what day of the week is 10 January? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
19. 19.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 170 sq cm (b) 54 sq cm (c) 27 sq cm (d) 187 sq cm
20. 20.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 19 sq cm (d) 18 sq cm
21. 21.The simple interest on ₹5500 for 3 years is ₹825. What is the rate per year? (a) 15% (b) 6% (c) 4% (d) 5%
22. 22.The simple interest on ₹3500 for 4 years is ₹560. What is the rate per year? (a) 4% (b) 5% (c) 16% (d) 3%
23. 23.Two ribbons are 56 cm and 64 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) 4 cm (c) 56 cm (d) 448 cm
24. 24.Two ribbons are 16 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
25. 25.What is the remainder when 544 is divided by 7? (a) 5 (b) 6 (c) 4 (d) 2
26. 26.What is the simple interest on ₹5000 at 8% per year for 3 years? (a) ₹6200 (b) ₹400 (c) ₹1600 (d) ₹1200
27. 27.A shopkeeper buys a toy for ₹260 and sells it for ₹299. What is his profit percent? (a) 39% (b) 20% (c) 15% (d) 10%
28. 28.6.19 + 2.1 = ? (a) 6.4 (b) 8.19 (c) 8.29 (d) 8.39
29. 29.Two ribbons are 12 cm and 14 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 1 cm (c) 84 cm (d) 2 cm
30. 30.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
31. 31.₹185 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹148 (b) ₹185 (c) ₹149 (d) ₹37
32. 32.Which fraction is greater: 5/8 or 1/4? (a) 5/8 (b) 1/4 (c) They are equal
33. 33.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 200 sq cm (b) 58 sq cm (c) 29 sq cm (d) 180 sq cm
34. 34.₹56 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹28 (b) ₹8 (c) ₹24 (d) ₹32
35. 35.A shopkeeper buys a toy for ₹340 and sells it for ₹306. What is his loss percent? (a) 5% (b) 15% (c) 34% (d) 10%
36. 36.If 25 March is a Thursday, what day of the week is 12 April? (a) Monday (b) Sunday (c) Wednesday (d) Tuesday
37. 37.If 2 pens cost ₹16, how much do 9 pens cost? (a) ₹72 (b) ₹144 (c) ₹80 (d) ₹23
38. 38.Which fraction is greater: 1/12 or 2/5? (a) 1/12 (b) They are equal (c) 2/5
39. 39.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
40. 40.The simple interest on ₹6000 for 2 years is ₹840. What is the rate per year? (a) 8% (b) 6% (c) 7% (d) 14%

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