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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 812 · 40 questions
TalentJR

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.

NameDateTime takenScore ___ / 40
  1. 1.A teacher has 12 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 16 (b) 12 (c) 2 (d) 4
  2. 2.What is the average of all the whole numbers from 41 to 53? (a) 48 (b) 47 (c) 6 (d) 12
  3. 3.A shopkeeper buys a toy for ₹220 and sells it for ₹209. What is his loss percent? (a) 11% (b) 6% (c) 5% (d) 10%
  4. 4.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 144 cm
  5. 5.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 20 sq cm (d) 40 sq cm
  6. 6.Which is the greatest: 0.061, 0.49, 0.391, 0.4? (a) 0.061 (b) 0.49 (c) 0.391 (d) 0.4
  7. 7.Which of these numbers is divisible by 4? (a) 2224 (b) 2229 (c) 2223 (d) 2226
  8. 8.7 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 6 days (c) 8 days (d) 5 days
  9. 9.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 72 cm (b) 40 cm (c) 22 cm (d) 44 cm
  10. 10.Every pair follows the same rule: 4 : 15, 7 : 18, 9 : 20. What is 3 : ? (a) 13 (b) 14 (c) 15 (d) 16
  11. 11.Which is the greatest: 0.054, 0.733, 0.87, 0.8? (a) 0.054 (b) 0.733 (c) 0.87 (d) 0.8
  12. 12.If 7x + 4 = 6x + 15, what is x? (a) 12 (b) 13 (c) 19 (d) 11
  13. 13.A shopkeeper buys a toy for ₹280 and sells it for ₹224. What is his loss percent? (a) 15% (b) 20% (c) 25% (d) 56%
  14. 14.Every pair follows the same rule: 4 : 13, 7 : 46, 8 : 61. What is 2 : ? (a) 2 (b) 3 (c) 11 (d) 1
  15. 15.₹8000 is invested at 3% per year simple interest. What is the amount after 3 years? (a) ₹8720 (b) ₹720 (c) ₹8960 (d) ₹8240
  16. 16.A bag marked ₹1680 is sold at a 20% discount. What is its selling price? (a) ₹336 (b) ₹1344 (c) ₹1660 (d) ₹2016
  17. 17.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
  18. 18.What is the average of 39, 35, 34, 50, 41 and 71? (a) 44 (b) 45 (c) 46 (d) 54
  19. 19.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 66 (b) 35 (c) 45 (d) 38
  20. 20.9 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 10 days (b) 8 days (c) 9 days (d) 5 days
  21. 21.If 14 July is a Friday, what day of the week is 29 July? (a) Friday (b) Monday (c) Sunday (d) Saturday
  22. 22.A batter has an average of 55 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 90 (c) 35 (d) 65
  23. 23.What is the average of 48, 72, 64, 75, 68 and 45? (a) 64 (b) 62 (c) 61 (d) 63
  24. 24.If 9 pens cost ₹81, how much do 10 pens cost? (a) ₹82 (b) ₹810 (c) ₹90 (d) ₹99
  25. 25.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 2 days (b) 4 days (c) 3 days (d) 19 days
  26. 26.What is the smallest number of sweets that can be shared equally among 6 children or among 14 children, with none left over? (a) 42 (b) 43 (c) 20 (d) 84
  27. 27.Which fraction is greater: 7/11 or 1/7? (a) 1/7 (b) 7/11 (c) They are equal
  28. 28.Every pair follows the same rule: 2 : 7, 4 : 17, 7 : 32. What is 3 : ? (a) 12 (b) 13 (c) 11 (d) 8
  29. 29.Every pair follows the same rule: 3 : 5, 7 : 21, 9 : 29. What is 8 : ? (a) 25 (b) 24 (c) 10 (d) 26
  30. 30.If 5 notebooks cost ₹95, how much do 6 notebooks cost? (a) ₹96 (b) ₹570 (c) ₹133 (d) ₹114
  31. 31.Which is the greatest: 0.5, 0.448, 0.53, 0.014? (a) 0.5 (b) 0.448 (c) 0.53 (d) 0.014
  32. 32.Every pair follows the same rule: 2 : 1, 3 : 4, 8 : 19. What is 5 : ? (a) 9 (b) 12 (c) 10 (d) 11
  33. 33.What is the remainder when 496 is divided by 9? (a) 2 (b) 0 (c) 8 (d) 1
  34. 34.What is the simple interest on ₹8000 at 2% per year for 5 years? (a) ₹800 (b) ₹8800 (c) ₹960 (d) ₹160
  35. 35.If 29 October is a Wednesday, what day of the week is 19 November? (a) Friday (b) Wednesday (c) Thursday (d) Tuesday
  36. 36.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 7 (b) 21 (c) 11 (d) 17
  37. 37.If 2 December is a Tuesday, what day of the week is 14 December? (a) Saturday (b) Sunday (c) Monday (d) Tuesday
  38. 38.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 24 (b) 78 (c) 66 (d) 60
  39. 39.Which of these numbers is divisible by 11? (a) 3282 (b) 3260 (c) 3267 (d) 3274
  40. 40.What is the smallest number of sweets that can be shared equally among 10 children or among 14 children, with none left over? (a) 24 (b) 71 (c) 140 (d) 70

Answer key

  1. 4
  2. 47
  3. 5%
  4. 9 cm
  5. 100 sq cm
  6. 0.49
  7. 2224
  8. 7 days
  9. 44 cm
  10. 14
  11. 0.87
  12. 11
  13. 20%
  14. 1
  15. ₹8720
  16. ₹1344
  17. 121 sq cm
  18. 45
  19. 66
  20. 9 days
  21. Saturday
  22. 90
  23. 62
  24. ₹90
  25. 3 days
  26. 42
  27. 7/11
  28. 12
  29. 25
  30. ₹114
  31. 0.53
  32. 10
  33. 1
  34. ₹800
  35. Wednesday
  36. 17
  37. Sunday
  38. 78
  39. 3267
  40. 70

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