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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 256 · 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.If 9x + 10 = 145, what is x? (a) 14 (b) 15 (c) 135 (d) 16
  2. 2.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 27 sq cm (b) 162 sq cm (c) 54 sq cm (d) 180 sq cm
  3. 3.If 3 pens cost ₹51, how much do 2 pens cost? (a) ₹50 (b) ₹51 (c) ₹34 (d) ₹102
  4. 4.Every pair follows the same rule: 4 : 27, 7 : 42, 8 : 47. What is 6 : ? (a) 37 (b) 38 (c) 36 (d) 29
  5. 5.What is the value of the digit 6 in 32.659? (a) 6 (b) 0.06 (c) 0.006 (d) 0.6
  6. 6.Every pair follows the same rule: 3 : 7, 5 : 9, 8 : 12. What is 2 : ? (a) 5 (b) 7 (c) 8 (d) 6
  7. 7.What is the average of all the whole numbers from 5 to 43? (a) 19 (b) 38 (c) 25 (d) 24
  8. 8.1/2 + 7/8 = ? (a) 3/2 (b) 11/8 (c) 4/5 (d) 5/4
  9. 9.If 9x − 52 = 47, what is x? (a) 12 (b) 10 (c) 99 (d) 11
  10. 10.If 1 May is a Monday, what day of the week is 9 May? (a) Monday (b) Tuesday (c) Wednesday (d) Thursday
  11. 11.Which is the greatest: 0.65, 0.6, 0.023, 0.522? (a) 0.65 (b) 0.6 (c) 0.023 (d) 0.522
  12. 12.If 4 pens cost ₹48, how much do 7 pens cost? (a) ₹51 (b) ₹84 (c) ₹96 (d) ₹336
  13. 13.What is the smallest number of sweets that can be shared equally among 10 children or among 35 children, with none left over? (a) 350 (b) 140 (c) 45 (d) 70
  14. 14.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 60 sq cm (d) 70 sq cm
  15. 15.If 14 May is a Thursday, what day of the week is 24 May? (a) Sunday (b) Monday (c) Saturday (d) Tuesday
  16. 16.What is 4/7 of 42? (a) 6 (b) 24 (c) 18 (d) 30
  17. 17.A teacher has 50 pencils and 90 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 40 (b) 10 (c) 50 (d) 5
  18. 18.Every pair follows the same rule: 2 : 8, 3 : 27, 5 : 125. What is 4 : ? (a) 16 (b) 64 (c) 76 (d) 10
  19. 19.Every pair follows the same rule: 2 : 3, 5 : 24, 6 : 35. What is 3 : ? (a) 9 (b) 2 (c) 4 (d) 8
  20. 20.What is 60% of 160? (a) 960 (b) 64 (c) 192 (d) 96
  21. 21.Which of these numbers is divisible by 11? (a) 8932 (b) 8941 (c) 8922 (d) 8952
  22. 22.8 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 6 days (b) 7 days (c) 9 days (d) 8 days
  23. 23.If x/4 + 11 = 18, what is x? (a) 61 (b) 7 (c) 116 (d) 28
  24. 24.If 2x − 9 = 13, what is x? (a) 11 (b) 12 (c) 2 (d) 22
  25. 25.Every pair follows the same rule: 5 : 25, 6 : 36, 9 : 81. What is 4 : ? (a) 24 (b) 16 (c) 6 (d) 20
  26. 26.₹9500 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹9880 (b) ₹11780 (c) ₹1900 (d) ₹11400
  27. 27.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 31 (b) 16 (c) 29 (d) 18
  28. 28.If 4 May is a Friday, what day of the week is 20 May? (a) Tuesday (b) Monday (c) Saturday (d) Sunday
  29. 29.If 7x − 2 = 12, what is x? (a) 3 (b) 14 (c) 1 (d) 2
  30. 30.Two ribbons are 10 cm and 35 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 25 cm (b) 1 cm (c) 10 cm (d) 5 cm
  31. 31.If 3x + 12 = x + 34, what is x? (a) 23 (b) 11 (c) 13 (d) 12
  32. 32.If 4 notebooks cost ₹28, how much do 3 notebooks cost? (a) ₹28 (b) ₹84 (c) ₹21 (d) ₹27
  33. 33.A teacher has 6 pencils and 14 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 8 (b) 6 (c) 1 (d) 2
  34. 34.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 47 (b) 38 (c) 37 (d) 96
  35. 35.If 4x + 19 = 35, what is x? (a) 16 (b) 3 (c) 4 (d) 5
  36. 36.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 8 sq cm (c) 16 sq cm (d) 12 sq cm
  37. 37.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 48 sq cm (c) 56 sq cm (d) 14 sq cm
  38. 38.What is 4/5 of 35? (a) 35 (b) 28 (c) 7 (d) 29
  39. 39.8 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 10 days (b) 17 days (c) 1 day (d) 16 days
  40. 40.A teacher has 16 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 16 (b) 4 (c) 8 (d) 24

Answer key

  1. 15
  2. 162 sq cm
  3. ₹34
  4. 37
  5. 0.6
  6. 6
  7. 24
  8. 11/8
  9. 11
  10. Tuesday
  11. 0.65
  12. ₹84
  13. 70
  14. 60 sq cm
  15. Sunday
  16. 24
  17. 10
  18. 64
  19. 8
  20. 96
  21. 8932
  22. 8 days
  23. 28
  24. 11
  25. 16
  26. ₹11400
  27. 31
  28. Sunday
  29. 2
  30. 5 cm
  31. 11
  32. ₹21
  33. 2
  34. 37
  35. 4
  36. 12 sq cm
  37. 48 sq cm
  38. 28
  39. 16 days
  40. 8

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