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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 155 · 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 5x − 19 = 6, what is x? (a) 25 (b) 6 (c) 4 (d) 5
  2. 2.8 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 16 days (b) 17 days (c) 13 days (d) 15 days
  3. 3.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 18 sq cm (c) 19 sq cm (d) 9 sq cm
  4. 4.What is the remainder when 418 is divided by 10? (a) 7 (b) 8 (c) 9 (d) 2
  5. 5.If 6x − 52 = 20, what is x? (a) 72 (b) 11 (c) 13 (d) 12
  6. 6.₹3000 is invested at 9% per year simple interest. What is the amount after 3 years? (a) ₹3270 (b) ₹3810 (c) ₹4080 (d) ₹810
  7. 7.If 6x + 1 = 5x + 6, what is x? (a) 4 (b) 5 (c) 7 (d) 6
  8. 8.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 70 cm (c) 6 cm (d) 12 cm
  9. 9.What is the smallest number of sweets that can be shared equally among 6 children or among 9 children, with none left over? (a) 36 (b) 15 (c) 54 (d) 18
  10. 10.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 50 (b) 70 (c) 95 (d) 25
  11. 11.If 30 April is a Monday, what day of the week is 9 May? (a) Thursday (b) Friday (c) Tuesday (d) Wednesday
  12. 12.If 12 March is a Monday, what day of the week is 20 April? (a) Friday (b) Sunday (c) Saturday (d) Thursday
  13. 13.If 2 mangoes cost ₹10, how much do 4 mangoes cost? (a) ₹20 (b) ₹40 (c) ₹12 (d) ₹25
  14. 14.A teacher has 35 pencils and 49 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 7 (b) 1 (c) 35 (d) 14
  15. 15.If 10 October is a Saturday, what day of the week is 26 October? (a) Wednesday (b) Monday (c) Sunday (d) Tuesday
  16. 16.Which is the smallest: 0.2, 0.061, 0.25, 0.192? (a) 0.2 (b) 0.061 (c) 0.25 (d) 0.192
  17. 17.What is the units digit of 2^19? (a) 6 (b) 4 (c) 8 (d) 2
  18. 18.1.92 + 5.8 = ? (a) 2.5 (b) 7.62 (c) 7.82 (d) 7.72
  19. 19.7.56 + 5.9 = ? (a) 13.36 (b) 13.56 (c) 13.46 (d) 8.15
  20. 20.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 17 days (b) 13 days (c) 25 days (d) 9 days
  21. 21.Two ribbons are 35 cm and 40 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 280 cm (b) 1 cm (c) 5 cm (d) 35 cm
  22. 22.Every pair follows the same rule: 4 : 13, 6 : 33, 9 : 78. What is 7 : ? (a) 16 (b) 48 (c) 46 (d) 47
  23. 23.If 19 March is a Monday, what day of the week is 3 April? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
  24. 24.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) 24 (c) 8 (d) 4
  25. 25.If 4 January is a Sunday, what day of the week is 14 January? (a) Friday (b) Thursday (c) Tuesday (d) Wednesday
  26. 26.What is the units digit of 2^46? (a) 2 (b) 4 (c) 8 (d) 6
  27. 27.A teacher has 8 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) 1 (c) 6 (d) 2
  28. 28.Today is Wednesday. What day of the week will it be after 28 days? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
  29. 29.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 16 cm (b) 9 cm (c) 119 cm (d) 8 cm
  30. 30.A teacher has 12 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 48 (b) 12 (c) 2 (d) 4
  31. 31.2/3 + 1/2 = ? (a) 7/6 (b) 1 (c) 3/5 (d) 4/3
  32. 32.In how many years will ₹6000 earn ₹2400 simple interest at 8% per year? (a) 10 years (b) 5 years (c) 4 years (d) 6 years
  33. 33.What is the smallest number of sweets that can be shared equally among 20 children or among 35 children, with none left over? (a) 700 (b) 55 (c) 140 (d) 280
  34. 34.Which is the greatest: 0.5, 0.434, 0.59, 0.087? (a) 0.5 (b) 0.434 (c) 0.59 (d) 0.087
  35. 35.What is 75% of 240? (a) 60 (b) 360 (c) 1800 (d) 180
  36. 36.If 9x + 2 = 137, what is x? (a) 135 (b) 15 (c) 16 (d) 14
  37. 37.Today is Friday. What day of the week will it be after 58 days? (a) Sunday (b) Tuesday (c) Monday (d) Saturday
  38. 38.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 20 cm
  39. 39.If 9x − 2 = 34, what is x? (a) 5 (b) 4 (c) 36 (d) 3
  40. 40.What is the smallest number you must add to 167 to make it divisible by 4? (a) 1 (b) 3 (c) 2

Answer key

  1. 5
  2. 16 days
  3. 18 sq cm
  4. 8
  5. 12
  6. ₹3810
  7. 5
  8. 6 cm
  9. 18
  10. 70
  11. Wednesday
  12. Friday
  13. ₹20
  14. 7
  15. Monday
  16. 0.061
  17. 8
  18. 7.72
  19. 13.46
  20. 25 days
  21. 5 cm
  22. 46
  23. Tuesday
  24. 8
  25. Wednesday
  26. 4
  27. 2
  28. Wednesday
  29. 8 cm
  30. 4
  31. 7/6
  32. 5 years
  33. 140
  34. 0.59
  35. 180
  36. 15
  37. Sunday
  38. 2 cm
  39. 4
  40. 1

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