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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 442 · 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: 2 : 19, 3 : 20, 6 : 23. What is 5 : ? (a) 21 (b) 23 (c) 24 (d) 22
  2. 2.What is the value of the digit 1 in 32.175? (a) 0.01 (b) 0.1 (c) 0.001 (d) 1
  3. 3.If 7x + 17 = 115, what is x? (a) 98 (b) 13 (c) 14 (d) 15
  4. 4.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
  5. 5.8.06 + 2.6 = ? (a) 8.32 (b) 10.56 (c) 10.66 (d) 10.76
  6. 6.4.48 + 9.8 = ? (a) 5.46 (b) 14.38 (c) 14.28 (d) 14.18
  7. 7.The simple interest on ₹9000 for 4 years is ₹1800. What is the rate per year? (a) 5% (b) 20% (c) 4% (d) 6%
  8. 8.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 21 (b) 68 (c) 97 (d) 50
  9. 9.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 53 (c) 69 (d) 20
  10. 10.What is the value of the digit 4 in 46.718? (a) 0.04 (b) 4 (c) 40 (d) 0.4
  11. 11.Two bells ring every 10 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 250 min (b) 5 min (c) 35 min (d) 50 min
  12. 12.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 35 sq cm (d) 42 sq cm
  13. 13.In how many years will ₹7500 earn ₹1800 simple interest at 6% per year? (a) 3 years (b) 5 years (c) 8 years (d) 4 years
  14. 14.A teacher has 30 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 180 (c) 30 (d) 6
  15. 15.If 5 pens cost ₹90, how much do 8 pens cost? (a) ₹93 (b) ₹720 (c) ₹162 (d) ₹144
  16. 16.What is 5/8 of 40? (a) 15 (b) 5 (c) 30 (d) 25
  17. 17.If 10 January is a Monday, what day of the week is 24 January? (a) Tuesday (b) Monday (c) Sunday (d) Wednesday
  18. 18.What is the average of all the whole numbers from 15 to 35? (a) 26 (b) 25 (c) 20 (d) 10
  19. 19.What is the value of the digit 9 in 62.839? (a) 9 (b) 0.09 (c) 0.9 (d) 0.009
  20. 20.In how many years will ₹6500 earn ₹780 simple interest at 3% per year? (a) 4 years (b) 8 years (c) 3 years (d) 5 years
  21. 21.5 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 6 days (b) 4 days (c) 11 days (d) 5 days
  22. 22.Every pair follows the same rule: 2 : 18, 4 : 36, 7 : 63. What is 3 : ? (a) 26 (b) 27 (c) 19 (d) 28
  23. 23.If 1 December is a Friday, what day of the week is 10 December? (a) Monday (b) Tuesday (c) Sunday (d) Saturday
  24. 24.₹2500 is invested at 8% per year simple interest. What is the amount after 4 years? (a) ₹3500 (b) ₹800 (c) ₹3300 (d) ₹2700
  25. 25.What is 1/7 of 84? (a) 24 (b) 12 (c) 13 (d) 72
  26. 26.Which is the greatest: 0.014, 0.27, 0.171, 0.2? (a) 0.014 (b) 0.27 (c) 0.171 (d) 0.2
  27. 27.If 7 notebooks cost ₹84, how much do 2 notebooks cost? (a) ₹36 (b) ₹168 (c) ₹79 (d) ₹24
  28. 28.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 31 (b) 16 (c) 30 (d) 60
  29. 29.A bag marked ₹760 is sold at a 10% discount. What is its selling price? (a) ₹76 (b) ₹836 (c) ₹684 (d) ₹750
  30. 30.Two bells ring every 12 minutes and every 16 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 48 min (b) 4 min (c) 28 min (d) 192 min
  31. 31.3.67 + 5.4 = ? (a) 9.17 (b) 4.21 (c) 8.97 (d) 9.07
  32. 32.What is the average of 55, 49, 36, 54 and 21? (a) 45 (b) 42 (c) 43 (d) 44
  33. 33.₹5500 is invested at 3% per year simple interest. What is the amount after 5 years? (a) ₹6490 (b) ₹5665 (c) ₹6325 (d) ₹825
  34. 34.A bag marked ₹1180 is sold at a 20% discount. What is its selling price? (a) ₹944 (b) ₹236 (c) ₹1416 (d) ₹1160
  35. 35.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 13 sq cm (c) 40 sq cm (d) 26 sq cm
  36. 36.What is the remainder when 142 is divided by 9? (a) 7 (b) 2 (c) 8 (d) 6
  37. 37.What is the smallest number of sweets that can be shared equally among 10 children or among 12 children, with none left over? (a) 22 (b) 120 (c) 61 (d) 60
  38. 38.8 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 2 days (b) 7 days (c) 9 days (d) 8 days
  39. 39.If x/6 + 5 = 8, what is x? (a) 43 (b) 78 (c) 3 (d) 18
  40. 40.If 7x + 20 = 6x + 30, what is x? (a) 10 (b) 50 (c) 11 (d) 12

Answer key

  1. 22
  2. 0.1
  3. 14
  4. 27 sq cm
  5. 10.66
  6. 14.28
  7. 5%
  8. 68
  9. 69
  10. 40
  11. 50 min
  12. 35 sq cm
  13. 4 years
  14. 6
  15. ₹144
  16. 25
  17. Monday
  18. 25
  19. 0.009
  20. 4 years
  21. 5 days
  22. 27
  23. Sunday
  24. ₹3300
  25. 12
  26. 0.27
  27. ₹24
  28. 30
  29. ₹684
  30. 48 min
  31. 9.07
  32. 43
  33. ₹6325
  34. ₹944
  35. 30 sq cm
  36. 7
  37. 60
  38. 8 days
  39. 18
  40. 10

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