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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 444 · 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.Every pair follows the same rule: 4 : 17, 5 : 18, 9 : 22. What is 7 : ? (a) 21 (b) 22 (c) 20 (d) 19
  2. 2.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 16 cm (b) 8 cm (c) 119 cm (d) 9 cm
  3. 3.1/2 + 1/5 = ? (a) 7/10 (b) 2/7 (c) 4/5 (d) 3/5
  4. 4.Two bells ring every 18 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 126 min (b) 756 min (c) 6 min (d) 60 min
  5. 5.What is the value of the digit 8 in 78.521? (a) 0.08 (b) 0.8 (c) 8 (d) 80
  6. 6.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 56 cm (c) 32 cm (d) 18 cm
  7. 7.Which fraction is greater: 3/4 or 4/11? (a) They are equal (b) 4/11 (c) 3/4
  8. 8.If 5 pens cost ₹125, how much do 2 pens cost? (a) ₹250 (b) ₹122 (c) ₹50 (d) ₹75
  9. 9.Two ribbons are 6 cm and 15 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 9 cm (b) 6 cm (c) 1 cm (d) 3 cm
  10. 10.If x/2 + 9 = 19, what is x? (a) 10 (b) 29 (c) 20 (d) 56
  11. 11.Two ribbons are 12 cm and 27 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 15 cm (b) 1 cm (c) 3 cm (d) 12 cm
  12. 12.If 9 pens cost ₹54, how much do 10 pens cost? (a) ₹55 (b) ₹540 (c) ₹66 (d) ₹60
  13. 13.What is the remainder when 295 is divided by 4? (a) 1 (b) 2 (c) 3 (d) 0
  14. 14.What is the average of 56, 55, 36 and 49? (a) 50 (b) 49 (c) 48 (d) 51
  15. 15.A shopkeeper buys a toy for ₹280 and sells it for ₹322. What is his profit percent? (a) 10% (b) 42% (c) 15% (d) 20%
  16. 16.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 48 cm (b) 6 cm (c) 5 cm (d) 10 cm
  17. 17.A bag marked ₹640 is sold at a 20% discount. What is its selling price? (a) ₹768 (b) ₹128 (c) ₹620 (d) ₹512
  18. 18.9 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 19 days (b) 2 days (c) 12 days (d) 18 days
  19. 19.Which is the smallest: 0.049, 0.5, 0.456, 0.58? (a) 0.049 (b) 0.5 (c) 0.456 (d) 0.58
  20. 20.If 3 July is a Thursday, what day of the week is 13 July? (a) Saturday (b) Sunday (c) Tuesday (d) Monday
  21. 21.What is the smallest number of sweets that can be shared equally among 10 children or among 35 children, with none left over? (a) 45 (b) 140 (c) 350 (d) 70
  22. 22.₹1000 is invested at 6% per year simple interest. What is the amount after 3 years? (a) ₹1240 (b) ₹1060 (c) ₹180 (d) ₹1180
  23. 23.₹297 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹189 (b) ₹27 (c) ₹135 (d) ₹162
  24. 24.If 9 kites cost ₹81, how much do 12 kites cost? (a) ₹108 (b) ₹117 (c) ₹972 (d) ₹84
  25. 25.Every pair follows the same rule: 2 : 3, 8 : 63, 9 : 80. What is 3 : ? (a) 7 (b) 8 (c) 9 (d) 4
  26. 26.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 224 min (c) 36 min (d) 56 min
  27. 27.Which fraction is greater: 1/12 or 5/8? (a) They are equal (b) 5/8 (c) 1/12
  28. 28.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 39 cm (d) 112 cm
  29. 29.What is the smallest number you must add to 407 to make it divisible by 10? (a) 3 (b) 4 (c) 2 (d) 7
  30. 30.What is 1/2 of 10? (a) 10 (b) 5 (c) 6 (d) 4
  31. 31.In how many years will ₹6000 earn ₹720 simple interest at 4% per year? (a) 4 years (b) 6 years (c) 2 years (d) 3 years
  32. 32.A teacher has 10 pencils and 25 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 5 (c) 1 (d) 15
  33. 33.If 4x + 2 = 2x + 20, what is x? (a) 11 (b) 3 (c) 9 (d) 10
  34. 34.What is the value of the digit 3 in 14.853? (a) 0.3 (b) 0.003 (c) 0.03 (d) 3
  35. 35.If 15 October is a Wednesday, what day of the week is 2 November? (a) Tuesday (b) Saturday (c) Monday (d) Sunday
  36. 36.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 15 sq cm (d) 50 sq cm
  37. 37.Every pair follows the same rule: 2 : 4, 4 : 16, 7 : 49. What is 6 : ? (a) 12 (b) 8 (c) 36 (d) 38
  38. 38.What is 75% of 340? (a) 2550 (b) 510 (c) 85 (d) 255
  39. 39.If 19 January is a Friday, what day of the week is 5 February? (a) Wednesday (b) Tuesday (c) Sunday (d) Monday
  40. 40.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 26 sq cm (d) 52 sq cm

Answer key

  1. 20
  2. 8 cm
  3. 7/10
  4. 126 min
  5. 8
  6. 36 cm
  7. 3/4
  8. ₹50
  9. 3 cm
  10. 20
  11. 3 cm
  12. ₹60
  13. 3
  14. 49
  15. 15%
  16. 5 cm
  17. ₹512
  18. 18 days
  19. 0.049
  20. Sunday
  21. 70
  22. ₹1180
  23. ₹162
  24. ₹108
  25. 8
  26. 56 min
  27. 5/8
  28. 46 cm
  29. 3
  30. 5
  31. 3 years
  32. 5
  33. 9
  34. 0.003
  35. Sunday
  36. 50 sq cm
  37. 36
  38. 255
  39. Monday
  40. 169 sq cm

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