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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 604 · 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 4 notebooks cost ₹84, how much do 5 notebooks cost? (a) ₹126 (b) ₹420 (c) ₹85 (d) ₹105
  2. 2.If 7x − 12 = 2, what is x? (a) 2 (b) 3 (c) 1 (d) 14
  3. 3.In how many years will ₹8000 earn ₹1200 simple interest at 3% per year? (a) 10 years (b) 6 years (c) 5 years (d) 4 years
  4. 4.A shopkeeper buys a toy for ₹760 and sells it for ₹608. What is his loss percent? (a) 25% (b) 21% (c) 20% (d) 15%
  5. 5.If 3x + 8 = x + 18, what is x? (a) 5 (b) 6 (c) 13 (d) 7
  6. 6.Which is the smallest: 0.511, 0.6, 0.61, 0.022? (a) 0.511 (b) 0.6 (c) 0.61 (d) 0.022
  7. 7.If 22 January is a Monday, what day of the week is 20 February? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
  8. 8.A shopkeeper buys a toy for ₹860 and sells it for ₹602. What is his loss percent? (a) 31% (b) 35% (c) 25% (d) 30%
  9. 9.2/9 + 2/4 = ? (a) 25/36 (b) 13/18 (c) 4/13 (d) 3/4
  10. 10.Which is the greatest: 0.032, 0.119, 0.28, 0.2? (a) 0.032 (b) 0.119 (c) 0.28 (d) 0.2
  11. 11.What is the smallest number of sweets that can be shared equally among 8 children or among 10 children, with none left over? (a) 18 (b) 41 (c) 80 (d) 40
  12. 12.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 45 (b) 12 (c) 55 (d) 88
  13. 13.Every pair follows the same rule: 2 : 12, 6 : 36, 8 : 48. What is 3 : ? (a) 19 (b) 17 (c) 18 (d) 13
  14. 14.What is 1/9 of 45? (a) 40 (b) 10 (c) 5 (d) 6
  15. 15.Which of these numbers is divisible by 6? (a) 4350 (b) 4360 (c) 4354 (d) 4345
  16. 16.If 31 July is a Saturday, what day of the week is 20 August? (a) Saturday (b) Thursday (c) Friday (d) Sunday
  17. 17.A shopkeeper buys a toy for ₹900 and sells it for ₹540. What is his loss percent? (a) 35% (b) 41% (c) 45% (d) 40%
  18. 18.Which is the greatest: 0.7, 0.072, 0.662, 0.71? (a) 0.7 (b) 0.072 (c) 0.662 (d) 0.71
  19. 19.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 49? (a) 30 (b) 73 (c) 49 (d) 55
  20. 20.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 22 (b) 25 (c) 21 (d) 51
  21. 21.What is the smallest number you must add to 257 to make it divisible by 12? (a) 8 (b) 5 (c) 7 (d) 6
  22. 22.What is the value of the digit 2 in 72.154? (a) 0.2 (b) 2 (c) 20 (d) 0.02
  23. 23.If 5x − 31 = 14, what is x? (a) 9 (b) 45 (c) 8 (d) 10
  24. 24.If 4x + 27 = 51, what is x? (a) 6 (b) 5 (c) 24 (d) 7
  25. 25.If 2 mangoes cost ₹10, how much do 10 mangoes cost? (a) ₹100 (b) ₹18 (c) ₹50 (d) ₹55
  26. 26.A teacher has 20 pencils and 70 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) 20 (d) 50
  27. 27.If 8 August is a Tuesday, what day of the week is 23 August? (a) Tuesday (b) Wednesday (c) Thursday (d) Friday
  28. 28.Which fraction is greater: 2/7 or 1/3? (a) 1/3 (b) 2/7 (c) They are equal
  29. 29.What is the average of all the whole numbers from 31 to 47? (a) 40 (b) 39 (c) 8 (d) 16
  30. 30.What is the units digit of 9^30? (a) 9 (b) 0 (c) 2 (d) 1
  31. 31.4.96 + 3.4 = ? (a) 8.46 (b) 8.26 (c) 8.36 (d) 5.3
  32. 32.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 64 sq cm (d) 14 sq cm
  33. 33.If 23 April is a Thursday, what day of the week is 1 May? (a) Thursday (b) Friday (c) Sunday (d) Saturday
  34. 34.Which is the smallest: 0.126, 0.047, 0.2, 0.23? (a) 0.126 (b) 0.047 (c) 0.2 (d) 0.23
  35. 35.What is 60% of 720? (a) 4320 (b) 432 (c) 288 (d) 864
  36. 36.₹3000 is invested at 8% per year simple interest. What is the amount after 2 years? (a) ₹3720 (b) ₹480 (c) ₹3240 (d) ₹3480
  37. 37.₹410 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹410 (b) ₹205 (c) ₹369 (d) ₹41
  38. 38.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 100 sq cm (d) 121 sq cm
  39. 39.Every pair follows the same rule: 3 : 6, 6 : 33, 8 : 61. What is 7 : ? (a) 10 (b) 14 (c) 46 (d) 47
  40. 40.Two ribbons are 28 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) 1 cm (b) 140 cm (c) 7 cm (d) 28 cm

Answer key

  1. ₹105
  2. 2
  3. 5 years
  4. 20%
  5. 5
  6. 0.022
  7. Tuesday
  8. 30%
  9. 13/18
  10. 0.28
  11. 40
  12. 55
  13. 18
  14. 5
  15. 4350
  16. Friday
  17. 40%
  18. 0.71
  19. 73
  20. 21
  21. 7
  22. 2
  23. 9
  24. 6
  25. ₹50
  26. 10
  27. Wednesday
  28. 1/3
  29. 39
  30. 1
  31. 8.36
  32. 49 sq cm
  33. Friday
  34. 0.047
  35. 432
  36. ₹3480
  37. ₹369
  38. 100 sq cm
  39. 46
  40. 7 cm

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