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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 928 · 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 28 March is a Thursday, what day of the week is 11 April? (a) Wednesday (b) Thursday (c) Friday (d) Saturday
  2. 2.If 6 pens cost ₹132, how much do 12 pens cost? (a) ₹286 (b) ₹1584 (c) ₹138 (d) ₹264
  3. 3.What is the value of the digit 5 in 75.624? (a) 50 (b) 0.5 (c) 5 (d) 0.05
  4. 4.What is the average of all the whole numbers from 30 to 44? (a) 38 (b) 7 (c) 37 (d) 14
  5. 5.What is the value of the digit 1 in 14.795? (a) 10 (b) 0.01 (c) 1 (d) 0.1
  6. 6.What is 15% of 440? (a) 660 (b) 132 (c) 374 (d) 66
  7. 7.What is the remainder when 772 is divided by 11? (a) 1 (b) 3 (c) 9 (d) 2
  8. 8.What is the units digit of 3^31? (a) 3 (b) 7 (c) 9 (d) 1
  9. 9.Which of these numbers is divisible by 9? (a) 6021 (b) 6018 (c) 6025 (d) 6034
  10. 10.What is the simple interest on ₹5500 at 6% per year for 2 years? (a) ₹660 (b) ₹990 (c) ₹6160 (d) ₹330
  11. 11.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 31 (b) 21 (c) 6 (d) 16
  12. 12.What is the average of 39, 17, 17, 30, 39 and 20? (a) 26 (b) 27 (c) 29 (d) 28
  13. 13.Every pair follows the same rule: 2 : 4, 5 : 25, 8 : 64. What is 9 : ? (a) 18 (b) 77 (c) 81 (d) 11
  14. 14.What is the average of 51, 32, 43, 40 and 34? (a) 40 (b) 41 (c) 50 (d) 39
  15. 15.Every pair follows the same rule: 4 : 15, 5 : 16, 8 : 19. What is 2 : ? (a) 13 (b) 14 (c) 15 (d) 12
  16. 16.What is the smallest number of sweets that can be shared equally among 15 children or among 35 children, with none left over? (a) 50 (b) 210 (c) 525 (d) 105
  17. 17.What is the average of 52, 60, 69, 51 and 38? (a) 53 (b) 54 (c) 56 (d) 55
  18. 18.Which is the greatest: 0.648, 0.73, 0.074, 0.7? (a) 0.648 (b) 0.73 (c) 0.074 (d) 0.7
  19. 19.A teacher has 24 pencils and 84 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 6 (c) 60 (d) 12
  20. 20.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
  21. 21.What is 60% of 100? (a) 120 (b) 600 (c) 60 (d) 40
  22. 22.Which is the greatest: 0.66, 0.6, 0.564, 0.013? (a) 0.66 (b) 0.6 (c) 0.564 (d) 0.013
  23. 23.A shopkeeper buys a toy for ₹580 and sells it for ₹870. What is his profit percent? (a) 51% (b) 55% (c) 50% (d) 45%
  24. 24.If 14 March is a Wednesday, what day of the week is 25 March? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
  25. 25.What is the average of 35, 42, 53, 54 and 36? (a) 45 (b) 55 (c) 44 (d) 43
  26. 26.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 11 cm (d) 22 cm
  27. 27.Every pair follows the same rule: 3 : 18, 4 : 25, 9 : 90. What is 2 : ? (a) 12 (b) 14 (c) 17 (d) 13
  28. 28.5/9 + 1/2 = ? (a) 6/11 (b) 10/9 (c) 19/18 (d) 1
  29. 29.Two bells ring every 25 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 55 min (b) 150 min (c) 750 min (d) 5 min
  30. 30.If 5x + 11 = 4x + 15, what is x? (a) 5 (b) 6 (c) 26 (d) 4
  31. 31.If 6 December is a Saturday, what day of the week is 20 December? (a) Sunday (b) Friday (c) Saturday (d) Monday
  32. 32.Which is the greatest: 0.3, 0.093, 0.34, 0.241? (a) 0.3 (b) 0.093 (c) 0.34 (d) 0.241
  33. 33.If 3x + 7 = 31, what is x? (a) 7 (b) 9 (c) 24 (d) 8
  34. 34.What is 5% of 280? (a) 140 (b) 14 (c) 266 (d) 28
  35. 35.A shopkeeper buys a toy for ₹180 and sells it for ₹162. What is his loss percent? (a) 15% (b) 10% (c) 18% (d) 5%
  36. 36.5 workers can build a wall in 6 days. How many days will 10 workers take, working at the same speed? (a) 12 days (b) 1 day (c) 11 days (d) 3 days
  37. 37.If 5 mangoes cost ₹75, how much do 11 mangoes cost? (a) ₹165 (b) ₹825 (c) ₹81 (d) ₹180
  38. 38.Which of these numbers is divisible by 6? (a) 1121 (b) 1129 (c) 1122 (d) 1127
  39. 39.3.55 + 3.4 = ? (a) 6.85 (b) 3.89 (c) 7.05 (d) 6.95
  40. 40.The simple interest on ₹8500 for 5 years is ₹1700. What is the rate per year? (a) 20% (b) 5% (c) 3% (d) 4%

Answer key

  1. Thursday
  2. ₹264
  3. 5
  4. 37
  5. 10
  6. 66
  7. 2
  8. 7
  9. 6021
  10. ₹660
  11. 21
  12. 27
  13. 81
  14. 40
  15. 13
  16. 105
  17. 54
  18. 0.73
  19. 12
  20. 100 sq cm
  21. 60
  22. 0.66
  23. 50%
  24. Sunday
  25. 44
  26. 22 cm
  27. 13
  28. 19/18
  29. 150 min
  30. 4
  31. Saturday
  32. 0.34
  33. 8
  34. 14
  35. 10%
  36. 3 days
  37. ₹165
  38. 1122
  39. 6.95
  40. 4%

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