Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 59 · 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.A teacher has 72 pencils and 81 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 9 (b) 3 (c) 648 (d) 72
2. 2.If 15 March is a Friday, what day of the week is 28 March? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
3. 3.6/8 + 4/8 = ? (a) 11/8 (b) 5/4 (c) 5/8 (d) 9/8
4. 4.4.67 + 1.2 = ? (a) 5.87 (b) 5.77 (c) 4.79 (d) 5.97
5. 5.A bag marked ₹600 is sold at a 20% discount. What is its selling price? (a) ₹720 (b) ₹480 (c) ₹120 (d) ₹580
6. 6.What is 10% of 80? (a) 72 (b) 80 (c) 8 (d) 16
7. 7.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 32 cm (b) 6 cm (c) 4 cm (d) 3 cm
8. 8.If 3 December is a Saturday, what day of the week is 18 December? (a) Saturday (b) Tuesday (c) Monday (d) Sunday
9. 9.If 5x + 17 = 77, what is x? (a) 11 (b) 60 (c) 13 (d) 12
10. 10.Every pair follows the same rule: 5 : 25, 7 : 35, 9 : 45. What is 6 : ? (a) 30 (b) 29 (c) 26 (d) 31
11. 11.Today is Tuesday. What day of the week will it be after 66 days? (a) Sunday (b) Friday (c) Thursday (d) Saturday
12. 12.What is the smallest number of sweets that can be shared equally among 12 children or among 15 children, with none left over? (a) 120 (b) 180 (c) 27 (d) 60
13. 13.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 153 cm (b) 20 cm (c) 10 cm (d) 11 cm
14. 14.Which fraction is greater: 1/6 or 3/5? (a) They are equal (b) 3/5 (c) 1/6
15. 15.A shopkeeper buys a toy for ₹280 and sells it for ₹224. What is his loss percent? (a) 25% (b) 20% (c) 56% (d) 15%
16. 16.Which of these numbers is divisible by 4? (a) 3394 (b) 3387 (c) 3388 (d) 3391
17. 17.What is the value of the digit 7 in 56.712? (a) 0.7 (b) 7 (c) 0.07 (d) 0.007
18. 18.4 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 23 days (b) 13 days (c) 9 days (d) 22 days
19. 19.If 7x + 4 = 2x + 19, what is x? (a) 3 (b) 5 (c) 2 (d) 4
20. 20.If 1 August is a Thursday, what day of the week is 12 August? (a) Monday (b) Tuesday (c) Wednesday (d) Sunday
21. 21.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 33 (b) 18 (c) 31 (d) 20
22. 22.1.35 + 8.1 = ? (a) 9.45 (b) 2.16 (c) 9.35 (d) 9.55
23. 23.Today is Wednesday. What day of the week will it be after 80 days? (a) Sunday (b) Monday (c) Saturday (d) Friday
24. 24.A teacher has 20 pencils and 90 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 20 (c) 10 (d) 70
25. 25.The simple interest on ₹5000 for 3 years is ₹1650. What is the rate per year? (a) 33% (b) 11% (c) 10% (d) 12%
26. 26.Two bells ring every 12 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 252 min (b) 33 min (c) 84 min (d) 3 min
27. 27.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 40 cm (c) 14 cm (d) 24 cm
28. 28.Which is the greatest: 0.37, 0.055, 0.3, 0.263? (a) 0.37 (b) 0.055 (c) 0.3 (d) 0.263
29. 29.What is the units digit of 3^30? (a) 7 (b) 3 (c) 9 (d) 1
30. 30.Which is the greatest: 0.621, 0.012, 0.71, 0.7? (a) 0.621 (b) 0.012 (c) 0.71 (d) 0.7
31. 31.If 15 January is a Sunday, what day of the week is 23 January? (a) Tuesday (b) Monday (c) Sunday (d) Wednesday
32. 32.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 63 (b) 40 (c) 31 (d) 39
33. 33.Today is Tuesday. What day of the week will it be after 11 days? (a) Sunday (b) Monday (c) Saturday (d) Friday
34. 34.What is the remainder when 81 is divided by 5? (a) 4 (b) 2 (c) 1 (d) 0
35. 35.A bag marked ₹1000 is sold at a 40% discount. What is its selling price? (a) ₹960 (b) ₹1400 (c) ₹400 (d) ₹600
36. 36.Today is Monday. What day of the week will it be after 30 days? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
37. 37.Two ribbons are 40 cm and 45 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) 1 cm (c) 360 cm (d) 40 cm
38. 38.What is the remainder when 146 is divided by 8? (a) 6 (b) 3 (c) 2 (d) 1
39. 39.If 5 August is a Tuesday, what day of the week is 21 August? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
40. 40.Every pair follows the same rule: 2 : 4, 4 : 16, 8 : 64. What is 5 : ? (a) 10 (b) 25 (c) 7 (d) 28

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