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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 716 · 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.Two ribbons are 12 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) 3 cm (b) 12 cm (c) 1 cm (d) 60 cm
  2. 2.What is the simple interest on ₹3000 at 9% per year for 5 years? (a) ₹4350 (b) ₹270 (c) ₹1620 (d) ₹1350
  3. 3.If 7 notebooks cost ₹42, how much do 12 notebooks cost? (a) ₹72 (b) ₹47 (c) ₹78 (d) ₹504
  4. 4.If 5x − 58 = 17, what is x? (a) 15 (b) 75 (c) 14 (d) 16
  5. 5.If 8 kites cost ₹120, how much do 5 kites cost? (a) ₹90 (b) ₹75 (c) ₹600 (d) ₹117
  6. 6.₹91 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹63 (b) ₹7 (c) ₹35 (d) ₹56
  7. 7.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 28 cm
  8. 8.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 38 (b) 31 (c) 61 (d) 8
  9. 9.What is the average of 46, 34, 35, 33 and 82? (a) 48 (b) 46 (c) 45 (d) 47
  10. 10.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 180 sq cm (b) 165 sq cm (c) 26 sq cm (d) 52 sq cm
  11. 11.A shopkeeper buys a toy for ₹360 and sells it for ₹468. What is his profit percent? (a) 31% (b) 30% (c) 35% (d) 25%
  12. 12.If 2 January is a Tuesday, what day of the week is 11 January? (a) Thursday (b) Wednesday (c) Friday (d) Saturday
  13. 13.2/9 + 5/9 = ? (a) 8/9 (b) 2/3 (c) 7/9 (d) 7/18
  14. 14.Which fraction is greater: 3/4 or 1/3? (a) 1/3 (b) They are equal (c) 3/4
  15. 15.If 8x + 5 = 4x + 33, what is x? (a) 9 (b) 7 (c) 6 (d) 8
  16. 16.If 3 kites cost ₹48, how much do 9 kites cost? (a) ₹432 (b) ₹54 (c) ₹144 (d) ₹160
  17. 17.What is the average of all the whole numbers from 53 to 69? (a) 16 (b) 8 (c) 62 (d) 61
  18. 18.Every pair follows the same rule: 4 : 22, 5 : 31, 9 : 87. What is 7 : ? (a) 56 (b) 25 (c) 55 (d) 59
  19. 19.What is the smallest number you must add to 425 to make it divisible by 10? (a) 6 (b) 7 (c) 4 (d) 5
  20. 20.Every pair follows the same rule: 2 : 16, 5 : 40, 7 : 56. What is 3 : ? (a) 25 (b) 23 (c) 17 (d) 24
  21. 21.Today is Sunday. What day of the week will it be after 77 days? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
  22. 22.What is the units digit of 2^51? (a) 6 (b) 4 (c) 2 (d) 8
  23. 23.Two ribbons are 9 cm and 12 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 36 cm (b) 9 cm (c) 1 cm (d) 3 cm
  24. 24.3/8 + 2/6 = ? (a) 17/24 (b) 5/14 (c) 3/4 (d) 2/3
  25. 25.Every pair follows the same rule: 1 : 1, 2 : 8, 4 : 64. What is 3 : ? (a) 27 (b) 28 (c) 3 (d) 36
  26. 26.If x/5 + 1 = 10, what is x? (a) 49 (b) 55 (c) 45 (d) 9
  27. 27.7 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 8 days (b) 7 days (c) 3 days (d) 6 days
  28. 28.If 4 mangoes cost ₹24, how much do 2 mangoes cost? (a) ₹12 (b) ₹22 (c) ₹18 (d) ₹48
  29. 29.What is the smallest number you must add to 484 to make it divisible by 8? (a) 3 (b) 4 (c) 6 (d) 5
  30. 30.Today is Sunday. What day of the week will it be after 14 days? (a) Tuesday (b) Saturday (c) Monday (d) Sunday
  31. 31.If 9 kites cost ₹81, how much do 6 kites cost? (a) ₹78 (b) ₹486 (c) ₹63 (d) ₹54
  32. 32.What is the simple interest on ₹2000 at 6% per year for 3 years? (a) ₹480 (b) ₹2360 (c) ₹360 (d) ₹120
  33. 33.A teacher has 6 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 3 (c) 15 (d) 6
  34. 34.3/4 + 1/5 = ? (a) 4/9 (b) 19/20 (c) 9/10 (d) 1
  35. 35.If 8 pens cost ₹88, how much do 12 pens cost? (a) ₹143 (b) ₹132 (c) ₹92 (d) ₹1056
  36. 36.Which of these numbers is divisible by 9? (a) 2171 (b) 2168 (c) 2186 (d) 2169
  37. 37.If 3 kites cost ₹51, how much do 5 kites cost? (a) ₹53 (b) ₹255 (c) ₹102 (d) ₹85
  38. 38.₹440 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹220 (b) ₹440 (c) ₹44 (d) ₹396
  39. 39.What is the value of the digit 5 in 51.392? (a) 5 (b) 0.5 (c) 0.05 (d) 50
  40. 40.What is the average of 80, 80, 58 and 54? (a) 69 (b) 67 (c) 68 (d) 70

Answer key

  1. 3 cm
  2. ₹1350
  3. ₹72
  4. 15
  5. ₹75
  6. ₹56
  7. 3 cm
  8. 38
  9. 46
  10. 165 sq cm
  11. 30%
  12. Thursday
  13. 7/9
  14. 3/4
  15. 7
  16. ₹144
  17. 61
  18. 55
  19. 5
  20. 24
  21. Sunday
  22. 8
  23. 3 cm
  24. 17/24
  25. 27
  26. 45
  27. 7 days
  28. ₹12
  29. 4
  30. Sunday
  31. ₹54
  32. ₹360
  33. 3
  34. 19/20
  35. ₹132
  36. 2169
  37. ₹85
  38. ₹396
  39. 50
  40. 68

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