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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 967 · 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.What is the value of the digit 8 in 98.265? (a) 80 (b) 8 (c) 0.8 (d) 0.08
  2. 2.What is the average of all the whole numbers from 15 to 33? (a) 9 (b) 25 (c) 18 (d) 24
  3. 3.What is the value of the digit 9 in 98.247? (a) 0.9 (b) 9 (c) 90 (d) 0.09
  4. 4.What is the smallest number of sweets that can be shared equally among 12 children or among 28 children, with none left over? (a) 168 (b) 40 (c) 84 (d) 336
  5. 5.What is the average of all the whole numbers from 44 to 80? (a) 18 (b) 36 (c) 62 (d) 63
  6. 6.What is the smallest number of sweets that can be shared equally among 8 children or among 20 children, with none left over? (a) 28 (b) 80 (c) 40 (d) 160
  7. 7.What is the average of 33, 45, 40, 56 and 41? (a) 42 (b) 45 (c) 43 (d) 44
  8. 8.Today is Saturday. What day of the week will it be after 74 days? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
  9. 9.What is the remainder when 181 is divided by 3? (a) 2 (b) 0 (c) 1
  10. 10.If 8 March is a Wednesday, what day of the week is 16 March? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
  11. 11.What is the average of all the whole numbers from 9 to 47? (a) 29 (b) 19 (c) 28 (d) 38
  12. 12.What is 1/2 of 4? (a) 1 (b) 4 (c) 2 (d) 3
  13. 13.Two ribbons are 14 cm and 16 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 14 cm (b) 112 cm (c) 2 cm (d) 1 cm
  14. 14.Two bells ring every 6 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 30 min (b) 21 min (c) 90 min (d) 3 min
  15. 15.What is the smallest number you must add to 263 to make it divisible by 11? (a) 2 (b) 3 (c) 10 (d) 1
  16. 16.A shopkeeper buys a toy for ₹220 and sells it for ₹330. What is his profit percent? (a) 51% (b) 50% (c) 55% (d) 45%
  17. 17.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 24 sq cm (d) 19 sq cm
  18. 18.What is 15% of 100? (a) 85 (b) 30 (c) 15 (d) 150
  19. 19.If 3 mangoes cost ₹60, how much do 4 mangoes cost? (a) ₹100 (b) ₹61 (c) ₹240 (d) ₹80
  20. 20.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 16 (b) 41 (c) 53 (d) 78
  21. 21.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 43 cm (b) 23 cm (c) 46 cm (d) 60 cm
  22. 22.What is the simple interest on ₹7000 at 3% per year for 3 years? (a) ₹210 (b) ₹840 (c) ₹7630 (d) ₹630
  23. 23.What is the value of the digit 1 in 69.178? (a) 0.001 (b) 0.1 (c) 0.01 (d) 1
  24. 24.Every pair follows the same rule: 4 : 19, 7 : 28, 9 : 34. What is 5 : ? (a) 21 (b) 22 (c) 20 (d) 23
  25. 25.If 14 March is a Friday, what day of the week is 4 April? (a) Saturday (b) Sunday (c) Friday (d) Thursday
  26. 26.A shopkeeper buys a toy for ₹1000 and sells it for ₹900. What is his loss percent? (a) 11% (b) 5% (c) 15% (d) 10%
  27. 27.Every pair follows the same rule: 2 : 10, 7 : 35, 8 : 40. What is 9 : ? (a) 44 (b) 45 (c) 46 (d) 17
  28. 28.Which of these numbers is divisible by 4? (a) 1182 (b) 1178 (c) 1185 (d) 1180
  29. 29.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 84 min (c) 54 min (d) 504 min
  30. 30.What is 20% of 220? (a) 176 (b) 440 (c) 88 (d) 44
  31. 31.Which is the greatest: 0.246, 0.3, 0.069, 0.37? (a) 0.246 (b) 0.3 (c) 0.069 (d) 0.37
  32. 32.1/3 + 1/2 = ? (a) 1 (b) 5/6 (c) 2/5 (d) 2/3
  33. 33.Every pair follows the same rule: 3 : 18, 8 : 48, 9 : 54. What is 6 : ? (a) 36 (b) 37 (c) 35 (d) 21
  34. 34.Every pair follows the same rule: 4 : 16, 6 : 36, 7 : 49. What is 9 : ? (a) 36 (b) 81 (c) 21 (d) 75
  35. 35.If 2x − 7 = 5, what is x? (a) 6 (b) 7 (c) 12 (d) 5
  36. 36.What is the average of all the whole numbers from 13 to 27? (a) 7 (b) 14 (c) 21 (d) 20
  37. 37.Every pair follows the same rule: 4 : 8, 7 : 14, 8 : 16. What is 3 : ? (a) 7 (b) 5 (c) 6 (d) 8
  38. 38.A teacher has 24 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 2 (c) 4 (d) 168
  39. 39.What is the value of the digit 7 in 76.392? (a) 7 (b) 0.7 (c) 0.07 (d) 70
  40. 40.A teacher has 6 pencils and 9 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 18 (b) 1 (c) 6 (d) 3

Answer key

  1. 8
  2. 24
  3. 90
  4. 84
  5. 62
  6. 40
  7. 43
  8. Wednesday
  9. 1
  10. Thursday
  11. 28
  12. 2
  13. 2 cm
  14. 30 min
  15. 1
  16. 50%
  17. 18 sq cm
  18. 15
  19. ₹80
  20. 53
  21. 46 cm
  22. ₹630
  23. 0.1
  24. 22
  25. Friday
  26. 10%
  27. 45
  28. 1180
  29. 84 min
  30. 44
  31. 0.37
  32. 5/6
  33. 36
  34. 81
  35. 6
  36. 20
  37. 6
  38. 4
  39. 70
  40. 3

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