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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 380 · 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.Which of these numbers is divisible by 8? (a) 3226 (b) 3217 (c) 3224 (d) 3238
  2. 2.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
  3. 3.If 4x + 20 = 3x + 32, what is x? (a) 14 (b) 12 (c) 13 (d) 52
  4. 4.Today is Tuesday. What day of the week will it be after 49 days? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
  5. 5.What is 25% of 800? (a) 600 (b) 2000 (c) 400 (d) 200
  6. 6.What is 4/9 of 81? (a) 37 (b) 9 (c) 45 (d) 36
  7. 7.What is the value of the digit 6 in 32.186? (a) 0.006 (b) 0.6 (c) 6 (d) 0.06
  8. 8.Which fraction is greater: 1/12 or 3/10? (a) They are equal (b) 3/10 (c) 1/12
  9. 9.If 6 January is a Monday, what day of the week is 19 January? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
  10. 10.What is the average of 15, 14, 19, 44 and 53? (a) 30 (b) 31 (c) 28 (d) 29
  11. 11.What is 2/3 of 24? (a) 16 (b) 17 (c) 8 (d) 24
  12. 12.If 4x + 29 = 89, what is x? (a) 60 (b) 14 (c) 16 (d) 15
  13. 13.Two bells ring every 20 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 55 min (b) 140 min (c) 5 min (d) 700 min
  14. 14.5 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 16 days (b) 15 days (c) 9 days (d) 3 days
  15. 15.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 13 cm (c) 42 cm (d) 26 cm
  16. 16.If 28 September is a Sunday, what day of the week is 5 October? (a) Tuesday (b) Saturday (c) Sunday (d) Monday
  17. 17.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 24 sq cm (d) 169 sq cm
  18. 18.Every pair follows the same rule: 3 : 6, 4 : 13, 9 : 78. What is 5 : ? (a) 26 (b) 22 (c) 8 (d) 10
  19. 19.If 8 August is a Friday, what day of the week is 18 August? (a) Monday (b) Wednesday (c) Tuesday (d) Sunday
  20. 20.If 4x + 1 = 33, what is x? (a) 32 (b) 8 (c) 9 (d) 7
  21. 21.₹3500 is invested at 4% per year simple interest. What is the amount after 3 years? (a) ₹4060 (b) ₹3920 (c) ₹420 (d) ₹3640
  22. 22.Which is the greatest: 0.6, 0.69, 0.585, 0.011? (a) 0.6 (b) 0.69 (c) 0.585 (d) 0.011
  23. 23.What is the units digit of 9^35? (a) 9 (b) 7 (c) 8 (d) 1
  24. 24.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 22 min (c) 112 min (d) 56 min
  25. 25.What is the average of all the whole numbers from 8 to 32? (a) 20 (b) 24 (c) 12 (d) 21
  26. 26.₹8000 is invested at 11% per year simple interest. What is the amount after 5 years? (a) ₹8880 (b) ₹4400 (c) ₹13280 (d) ₹12400
  27. 27.Which of these numbers is divisible by 11? (a) 8622 (b) 8600 (c) 8602 (d) 8604
  28. 28.What is 15% of 380? (a) 114 (b) 570 (c) 323 (d) 57
  29. 29.What is the smallest number of sweets that can be shared equally among 12 children or among 20 children, with none left over? (a) 32 (b) 240 (c) 60 (d) 120
  30. 30.₹341 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹31 (b) ₹279 (c) ₹93 (d) ₹248
  31. 31.What is the value of the digit 7 in 45.762? (a) 0.07 (b) 7 (c) 0.7 (d) 0.007
  32. 32.Which fraction is greater: 4/5 or 5/6? (a) 4/5 (b) 5/6 (c) They are equal
  33. 33.Every pair follows the same rule: 4 : 5, 6 : 9, 7 : 11. What is 2 : ? (a) 3 (b) 2 (c) 1 (d) 4
  34. 34.Every pair follows the same rule: 2 : 4, 4 : 16, 9 : 81. What is 5 : ? (a) 10 (b) 29 (c) 7 (d) 25
  35. 35.If 9 kites cost ₹126, how much do 4 kites cost? (a) ₹56 (b) ₹121 (c) ₹70 (d) ₹504
  36. 36.If 3x + 14 = 53, what is x? (a) 13 (b) 14 (c) 39 (d) 12
  37. 37.₹294 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹105 (b) ₹21 (c) ₹189 (d) ₹147
  38. 38.What is the value of the digit 7 in 41.297? (a) 0.7 (b) 0.07 (c) 0.007 (d) 7
  39. 39.Every pair follows the same rule: 2 : 10, 4 : 12, 5 : 13. What is 7 : ? (a) 35 (b) 16 (c) 14 (d) 15
  40. 40.Today is Tuesday. What day of the week will it be after 76 days? (a) Monday (b) Wednesday (c) Tuesday (d) Sunday

Answer key

  1. 3224
  2. 25 sq cm
  3. 12
  4. Tuesday
  5. 200
  6. 36
  7. 0.006
  8. 3/10
  9. Sunday
  10. 29
  11. 16
  12. 15
  13. 140 min
  14. 15 days
  15. 26 cm
  16. Sunday
  17. 144 sq cm
  18. 22
  19. Monday
  20. 8
  21. ₹3920
  22. 0.69
  23. 9
  24. 56 min
  25. 20
  26. ₹12400
  27. 8602
  28. 57
  29. 60
  30. ₹248
  31. 0.7
  32. 5/6
  33. 1
  34. 25
  35. ₹56
  36. 13
  37. ₹189
  38. 0.007
  39. 15
  40. Monday

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