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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 15 · 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 rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 36 cm (c) 22 cm (d) 26 cm
  2. 2.If 9 mangoes cost ₹180, how much do 3 mangoes cost? (a) ₹60 (b) ₹80 (c) ₹540 (d) ₹174
  3. 3.What is the average of all the whole numbers from 41 to 67? (a) 13 (b) 55 (c) 26 (d) 54
  4. 4.What is the remainder when 316 is divided by 7? (a) 2 (b) 6 (c) 0 (d) 1
  5. 5.Every pair follows the same rule: 2 : 14, 5 : 23, 8 : 32. What is 4 : ? (a) 28 (b) 16 (c) 20 (d) 21
  6. 6.A shopkeeper buys a toy for ₹860 and sells it for ₹903. What is his profit percent? (a) 10% (b) 43% (c) 6% (d) 5%
  7. 7.Which is the greatest: 0.48, 0.323, 0.077, 0.4? (a) 0.48 (b) 0.323 (c) 0.077 (d) 0.4
  8. 8.A shopkeeper buys a toy for ₹220 and sells it for ₹242. What is his profit percent? (a) 22% (b) 15% (c) 5% (d) 10%
  9. 9.Two bells ring every 6 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 42 min (b) 2 min (c) 20 min (d) 84 min
  10. 10.What is the smallest number of sweets that can be shared equally among 15 children or among 20 children, with none left over? (a) 35 (b) 120 (c) 300 (d) 60
  11. 11.Every pair follows the same rule: 2 : 18, 3 : 27, 4 : 36. What is 6 : ? (a) 22 (b) 53 (c) 55 (d) 54
  12. 12.Which is the greatest: 0.066, 0.6, 0.61, 0.596? (a) 0.066 (b) 0.6 (c) 0.61 (d) 0.596
  13. 13.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 40 cm (c) 5 cm (d) 6 cm
  14. 14.A shopkeeper buys a toy for ₹580 and sells it for ₹406. What is his loss percent? (a) 25% (b) 31% (c) 35% (d) 30%
  15. 15.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 3 cm (b) 2 cm (c) 16 cm (d) 4 cm
  16. 16.If 2 July is a Tuesday, what day of the week is 11 July? (a) Wednesday (b) Saturday (c) Thursday (d) Friday
  17. 17.What is the average of 69, 55, 67, 57 and 32? (a) 56 (b) 55 (c) 70 (d) 57
  18. 18.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 22 min (c) 56 min (d) 112 min
  19. 19.What is 1/3 of 9? (a) 6 (b) 3 (c) 2 (d) 4
  20. 20.What is 1/2 of 14? (a) 14 (b) 8 (c) 6 (d) 7
  21. 21.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 20 sq cm (d) 121 sq cm
  22. 22.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 25 (b) 100 (c) 24 (d) 48
  23. 23.If 24 January is a Wednesday, what day of the week is 15 February? (a) Saturday (b) Friday (c) Thursday (d) Wednesday
  24. 24.If 20 May is a Wednesday, what day of the week is 1 June? (a) Wednesday (b) Monday (c) Sunday (d) Tuesday
  25. 25.Every pair follows the same rule: 2 : 4, 3 : 6, 5 : 10. What is 8 : ? (a) 15 (b) 10 (c) 17 (d) 16
  26. 26.If 6x − 30 = 6, what is x? (a) 7 (b) 5 (c) 36 (d) 6
  27. 27.What is the value of the digit 8 in 96.825? (a) 0.008 (b) 0.8 (c) 8 (d) 0.08
  28. 28.Today is Sunday. What day of the week will it be after 50 days? (a) Sunday (b) Wednesday (c) Tuesday (d) Monday
  29. 29.Which is the smallest: 0.176, 0.083, 0.2, 0.24? (a) 0.176 (b) 0.083 (c) 0.2 (d) 0.24
  30. 30.Every pair follows the same rule: 7 : 15, 8 : 16, 9 : 17. What is 6 : ? (a) 15 (b) 14 (c) 16 (d) 13
  31. 31.What is the average of 33, 49, 36, 34, 25 and 63? (a) 40 (b) 41 (c) 39 (d) 48
  32. 32.Which of these numbers is divisible by 11? (a) 2617 (b) 2592 (c) 2599 (d) 2596
  33. 33.Every pair follows the same rule: 4 : 16, 6 : 36, 7 : 49. What is 2 : ? (a) 8 (b) 14 (c) 5 (d) 4
  34. 34.If 15 August is a Wednesday, what day of the week is 19 September? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
  35. 35.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 10 sq cm (c) 24 sq cm (d) 20 sq cm
  36. 36.If 2 July is a Saturday, what day of the week is 14 July? (a) Thursday (b) Friday (c) Saturday (d) Wednesday
  37. 37.If 5 notebooks cost ₹110, how much do 6 notebooks cost? (a) ₹154 (b) ₹660 (c) ₹132 (d) ₹111
  38. 38.What is the average of 28, 46, 41, 44 and 1? (a) 33 (b) 40 (c) 32 (d) 31
  39. 39.A teacher has 70 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
  40. 40.1/3 + 2/3 = ? (a) 1/2 (b) 4/3 (c) 1 (d) 2/3

Answer key

  1. 26 cm
  2. ₹60
  3. 54
  4. 1
  5. 20
  6. 5%
  7. 0.48
  8. 10%
  9. 42 min
  10. 60
  11. 54
  12. 0.61
  13. 5 cm
  14. 30%
  15. 2 cm
  16. Thursday
  17. 56
  18. 56 min
  19. 3
  20. 7
  21. 100 sq cm
  22. 24
  23. Thursday
  24. Monday
  25. 16
  26. 6
  27. 0.8
  28. Monday
  29. 0.083
  30. 14
  31. 40
  32. 2596
  33. 4
  34. Wednesday
  35. 16 sq cm
  36. Thursday
  37. ₹132
  38. 32
  39. 10
  40. 1

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