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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 797 · 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 8 March is a Saturday, what day of the week is 16 March? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
  2. 2.₹188 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹94 (b) ₹188 (c) ₹141 (d) ₹47
  3. 3.What is the value of the digit 3 in 62.345? (a) 0.003 (b) 0.03 (c) 3 (d) 0.3
  4. 4.If 9x − 11 = 7, what is x? (a) 1 (b) 18 (c) 3 (d) 2
  5. 5.What is the simple interest on ₹6000 at 6% per year for 3 years? (a) ₹360 (b) ₹1080 (c) ₹7080 (d) ₹1440
  6. 6.Which of these numbers is divisible by 11? (a) 9406 (b) 9394 (c) 9398 (d) 9392
  7. 7.Which is the greatest: 0.316, 0.48, 0.4, 0.072? (a) 0.316 (b) 0.48 (c) 0.4 (d) 0.072
  8. 8.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 144 sq cm (b) 25 sq cm (c) 126 sq cm (d) 50 sq cm
  9. 9.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 30 min (c) 150 min (d) 25 min
  10. 10.In how many years will ₹1500 earn ₹90 simple interest at 3% per year? (a) 3 years (b) 4 years (c) 1 year (d) 2 years
  11. 11.If x/5 + 12 = 17, what is x? (a) 5 (b) 145 (c) 25 (d) 73
  12. 12.₹77 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹42 (b) ₹7 (c) ₹35 (d) ₹49
  13. 13.What is the average of all the whole numbers from 10 to 50? (a) 30 (b) 20 (c) 40 (d) 31
  14. 14.₹150 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹30 (b) ₹120 (c) ₹150 (d) ₹75
  15. 15.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 100 sq cm (d) 121 sq cm
  16. 16.Which of these numbers is divisible by 11? (a) 9502 (b) 9493 (c) 9490 (d) 9506
  17. 17.Two ribbons are 12 cm and 54 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 42 cm (c) 3 cm (d) 6 cm
  18. 18.A teacher has 22 pencils and 55 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 22 (b) 1 (c) 33 (d) 11
  19. 19.What is the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 112 (b) 57 (c) 22 (d) 56
  20. 20.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 24 (b) 34 (c) 25 (d) 70
  21. 21.If x/5 + 1 = 13, what is x? (a) 12 (b) 60 (c) 70 (d) 64
  22. 22.4 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 13 days (b) 10 days (c) 12 days (d) 8 days
  23. 23.If 3 pens cost ₹15, how much do 2 pens cost? (a) ₹15 (b) ₹10 (c) ₹14 (d) ₹30
  24. 24.If 2 pens cost ₹34, how much do 5 pens cost? (a) ₹102 (b) ₹37 (c) ₹170 (d) ₹85
  25. 25.If 2 notebooks cost ₹34, how much do 11 notebooks cost? (a) ₹204 (b) ₹187 (c) ₹43 (d) ₹374
  26. 26.Every pair follows the same rule: 2 : 2, 5 : 23, 9 : 79. What is 3 : ? (a) 7 (b) 6 (c) 3 (d) 8
  27. 27.What is the average of 71, 68, 83 and 94? (a) 81 (b) 78 (c) 79 (d) 80
  28. 28.8.51 + 7.1 = ? (a) 15.71 (b) 15.61 (c) 9.22 (d) 15.51
  29. 29.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 192 sq cm (b) 28 sq cm (c) 208 sq cm (d) 56 sq cm
  30. 30.1/3 + 1/7 = ? (a) 3/7 (b) 11/21 (c) 1/5 (d) 10/21
  31. 31.If 6x + 12 = 2x + 40, what is x? (a) 13 (b) 9 (c) 7 (d) 8
  32. 32.What is the units digit of 2^21? (a) 8 (b) 2 (c) 6 (d) 4
  33. 33.What is the average of 70, 87, 64, 77, 88 and 52? (a) 75 (b) 73 (c) 74 (d) 72
  34. 34.Every pair follows the same rule: 2 : 17, 6 : 21, 7 : 22. What is 8 : ? (a) 25 (b) 23 (c) 22 (d) 24
  35. 35.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) 3 cm (b) 6 cm (c) 1 cm (d) 9 cm
  36. 36.What is the average of all the whole numbers from 45 to 59? (a) 7 (b) 53 (c) 14 (d) 52
  37. 37.Which is the greatest: 0.476, 0.5, 0.011, 0.59? (a) 0.476 (b) 0.5 (c) 0.011 (d) 0.59
  38. 38.Which is the greatest: 0.8, 0.86, 0.049, 0.764? (a) 0.8 (b) 0.86 (c) 0.049 (d) 0.764
  39. 39.What is the value of the digit 9 in 92.571? (a) 9 (b) 0.09 (c) 0.9 (d) 90
  40. 40.Which fraction is greater: 2/7 or 1/5? (a) 2/7 (b) 1/5 (c) They are equal

Answer key

  1. Sunday
  2. ₹141
  3. 0.3
  4. 2
  5. ₹1080
  6. 9394
  7. 0.48
  8. 126 sq cm
  9. 30 min
  10. 2 years
  11. 25
  12. ₹42
  13. 30
  14. ₹120
  15. 100 sq cm
  16. 9493
  17. 6 cm
  18. 11
  19. 56
  20. 24
  21. 60
  22. 12 days
  23. ₹10
  24. ₹85
  25. ₹187
  26. 7
  27. 79
  28. 15.61
  29. 192 sq cm
  30. 10/21
  31. 7
  32. 2
  33. 73
  34. 23
  35. 3 cm
  36. 52
  37. 0.59
  38. 0.86
  39. 90
  40. 2/7

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