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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 311 · 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.What is the average of all the whole numbers from 8 to 40? (a) 24 (b) 16 (c) 32 (d) 25
  2. 2.Every pair follows the same rule: 3 : 21, 6 : 36, 8 : 46. What is 2 : ? (a) 14 (b) 20 (c) 16 (d) 17
  3. 3.What is 8/9 of 36? (a) 36 (b) 32 (c) 33 (d) 4
  4. 4.Which fraction is greater: 5/9 or 2/5? (a) They are equal (b) 2/5 (c) 5/9
  5. 5.If 2x − 1 = 13, what is x? (a) 6 (b) 8 (c) 7 (d) 14
  6. 6.Which of these numbers is divisible by 3? (a) 765 (b) 767 (c) 769 (d) 763
  7. 7.9 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 27 days (b) 28 days (c) 3 days (d) 15 days
  8. 8.What is 50% of 720? (a) 360 (b) 720 (c) 361 (d) 3600
  9. 9.A bag marked ₹1120 is sold at a 40% discount. What is its selling price? (a) ₹1080 (b) ₹448 (c) ₹672 (d) ₹1568
  10. 10.A bag marked ₹260 is sold at a 30% discount. What is its selling price? (a) ₹182 (b) ₹230 (c) ₹78 (d) ₹338
  11. 11.1.17 + 1.6 = ? (a) 2.67 (b) 2.77 (c) 1.33 (d) 2.87
  12. 12.Which is the greatest: 0.019, 0.8, 0.81, 0.775? (a) 0.019 (b) 0.8 (c) 0.81 (d) 0.775
  13. 13.6/9 + 1/4 = ? (a) 17/18 (b) 11/12 (c) 8/9 (d) 7/13
  14. 14.What is the value of the digit 6 in 96.418? (a) 6 (b) 0.06 (c) 60 (d) 0.6
  15. 15.If 10 August is a Monday, what day of the week is 1 September? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
  16. 16.If 5x + 7 = 3x + 15, what is x? (a) 5 (b) 1 (c) 11 (d) 4
  17. 17.A shopkeeper buys a toy for ₹860 and sells it for ₹1118. What is his profit percent? (a) 31% (b) 25% (c) 30% (d) 35%
  18. 18.A teacher has 21 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 84 (b) 21 (c) 7 (d) 1
  19. 19.If 6 notebooks cost ₹66, how much do 11 notebooks cost? (a) ₹132 (b) ₹121 (c) ₹726 (d) ₹71
  20. 20.A shopkeeper buys a toy for ₹300 and sells it for ₹315. What is his profit percent? (a) 6% (b) 10% (c) 5% (d) 15%
  21. 21.What is the smallest number of sweets that can be shared equally among 15 children or among 25 children, with none left over? (a) 75 (b) 150 (c) 375 (d) 40
  22. 22.Two ribbons are 49 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 49 cm (b) 7 cm (c) 14 cm (d) 1 cm
  23. 23.1/4 + 1/3 = ? (a) 2/7 (b) 7/12 (c) 2/3 (d) 1/2
  24. 24.A teacher has 30 pencils and 54 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 30 (c) 6 (d) 3
  25. 25.₹351 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹243 (b) ₹108 (c) ₹27 (d) ₹270
  26. 26.What is the value of the digit 1 in 54.213? (a) 0.01 (b) 0.001 (c) 0.1 (d) 1
  27. 27.If 6 January is a Monday, what day of the week is 14 January? (a) Monday (b) Tuesday (c) Wednesday (d) Thursday
  28. 28.What is the simple interest on ₹8000 at 7% per year for 5 years? (a) ₹10800 (b) ₹2800 (c) ₹560 (d) ₹3360
  29. 29.6.69 + 6.6 = ? (a) 7.35 (b) 13.19 (c) 13.29 (d) 13.39
  30. 30.If 4x − 28 = 8, what is x? (a) 36 (b) 10 (c) 9 (d) 8
  31. 31.Every pair follows the same rule: 5 : 11, 8 : 20, 9 : 23. What is 6 : ? (a) 15 (b) 12 (c) 14 (d) 13
  32. 32.Two bells ring every 12 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 336 min (b) 84 min (c) 4 min (d) 40 min
  33. 33.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 46 sq cm (c) 128 sq cm (d) 23 sq cm
  34. 34.3/8 + 1/3 = ? (a) 4/11 (b) 2/3 (c) 17/24 (d) 3/4
  35. 35.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
  36. 36.What is the average of all the whole numbers from 37 to 67? (a) 52 (b) 53 (c) 15 (d) 30
  37. 37.In how many years will ₹2500 earn ₹600 simple interest at 8% per year? (a) 4 years (b) 6 years (c) 2 years (d) 3 years
  38. 38.Today is Friday. What day of the week will it be after 51 days? (a) Monday (b) Sunday (c) Tuesday (d) Saturday
  39. 39.If 3 pens cost ₹54, how much do 4 pens cost? (a) ₹216 (b) ₹72 (c) ₹90 (d) ₹55
  40. 40.What is the smallest number of sweets that can be shared equally among 10 children or among 25 children, with none left over? (a) 250 (b) 50 (c) 35 (d) 100

Answer key

  1. 24
  2. 16
  3. 32
  4. 5/9
  5. 7
  6. 765
  7. 27 days
  8. 360
  9. ₹672
  10. ₹182
  11. 2.77
  12. 0.81
  13. 11/12
  14. 6
  15. Tuesday
  16. 4
  17. 30%
  18. 7
  19. ₹121
  20. 5%
  21. 75
  22. 7 cm
  23. 7/12
  24. 6
  25. ₹243
  26. 0.01
  27. Tuesday
  28. ₹2800
  29. 13.29
  30. 9
  31. 14
  32. 84 min
  33. 112 sq cm
  34. 17/24
  35. 49 sq cm
  36. 52
  37. 3 years
  38. Sunday
  39. ₹72
  40. 50

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