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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 813 · 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. 1.4.59 + 4.5 = ? (a) 9.19 (b) 9.09 (c) 8.99 (d) 5.04
  2. 2.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 25 (b) 31 (c) 26 (d) 64
  3. 3.1.38 + 7.9 = ? (a) 9.38 (b) 9.18 (c) 9.28 (d) 2.17
  4. 4.What is 10% of 980? (a) 196 (b) 980 (c) 882 (d) 98
  5. 5.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 18 cm (d) 16 cm
  6. 6.Which is the greatest: 0.023, 0.214, 0.3, 0.36? (a) 0.023 (b) 0.214 (c) 0.3 (d) 0.36
  7. 7.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 9 cm (c) 119 cm (d) 16 cm
  8. 8.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 51 (b) 25 (c) 21 (d) 20
  9. 9.1/8 + 3/4 = ? (a) 7/8 (b) 1/3 (c) 1 (d) 3/4
  10. 10.If 1 December is a Saturday, what day of the week is 11 December? (a) Thursday (b) Wednesday (c) Tuesday (d) Monday
  11. 11.A shopkeeper buys a toy for ₹200 and sells it for ₹260. What is his profit percent? (a) 25% (b) 35% (c) 30% (d) 60%
  12. 12.Every pair follows the same rule: 2 : 12, 4 : 22, 6 : 32. What is 8 : ? (a) 48 (b) 42 (c) 43 (d) 18
  13. 13.A teacher has 25 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 5 (c) 25 (d) 1
  14. 14.Which fraction is greater: 4/7 or 2/3? (a) They are equal (b) 4/7 (c) 2/3
  15. 15.If x/6 + 10 = 22, what is x? (a) 72 (b) 12 (c) 192 (d) 122
  16. 16.What is the value of the digit 5 in 58.431? (a) 0.5 (b) 0.05 (c) 5 (d) 50
  17. 17.What is 2/3 of 18? (a) 6 (b) 13 (c) 12 (d) 18
  18. 18.If x/4 + 8 = 19, what is x? (a) 68 (b) 11 (c) 108 (d) 44
  19. 19.What is the units digit of 7^58? (a) 7 (b) 3 (c) 1 (d) 9
  20. 20.What is the average of all the whole numbers from 51 to 83? (a) 32 (b) 67 (c) 16 (d) 68
  21. 21.Two bells ring every 12 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 42 min (b) 360 min (c) 6 min (d) 60 min
  22. 22.What is the value of the digit 8 in 83.754? (a) 8 (b) 0.8 (c) 80 (d) 0.08
  23. 23.A bag marked ₹260 is sold at a 25% discount. What is its selling price? (a) ₹325 (b) ₹65 (c) ₹195 (d) ₹235
  24. 24.Which fraction is greater: 7/9 or 1/6? (a) They are equal (b) 1/6 (c) 7/9
  25. 25.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 40 (b) 35 (c) 55 (d) 25
  26. 26.Every pair follows the same rule: 2 : 6, 6 : 18, 7 : 21. What is 4 : ? (a) 8 (b) 11 (c) 13 (d) 12
  27. 27.Every pair follows the same rule: 4 : 21, 6 : 23, 7 : 24. What is 9 : ? (a) 27 (b) 26 (c) 25 (d) 28
  28. 28.Today is Monday. What day of the week will it be after 58 days? (a) Wednesday (b) Thursday (c) Tuesday (d) Friday
  29. 29.If 7x − 6 = 8, what is x? (a) 14 (b) 3 (c) 1 (d) 2
  30. 30.1.41 + 5.2 = ? (a) 6.51 (b) 6.61 (c) 1.93 (d) 6.71
  31. 31.What is the average of 55, 71, 58 and 68? (a) 62 (b) 84 (c) 63 (d) 64
  32. 32.If 3x + 24 = 60, what is x? (a) 12 (b) 13 (c) 36 (d) 28
  33. 33.In how many years will ₹8500 earn ₹1870 simple interest at 11% per year? (a) 1 year (b) 4 years (c) 3 years (d) 2 years
  34. 34.Which is the greatest: 0.061, 0.297, 0.37, 0.3? (a) 0.061 (b) 0.297 (c) 0.37 (d) 0.3
  35. 35.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 32 sq cm (c) 11 sq cm (d) 24 sq cm
  36. 36.Two bells ring every 24 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 54 min (c) 720 min (d) 120 min
  37. 37.Two bells ring every 20 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 120 min (c) 44 min (d) 480 min
  38. 38.If 3x + 6 = 2x + 18, what is x? (a) 12 (b) 24 (c) 13 (d) 14
  39. 39.What is 60% of 500? (a) 300 (b) 600 (c) 3000 (d) 200
  40. 40.What is the remainder when 773 is divided by 10? (a) 3 (b) 7 (c) 4 (d) 2

Answer key

  1. 9.09
  2. 25
  3. 9.28
  4. 98
  5. 20 cm
  6. 0.36
  7. 8 cm
  8. 20
  9. 7/8
  10. Tuesday
  11. 30%
  12. 42
  13. 5
  14. 2/3
  15. 72
  16. 50
  17. 12
  18. 44
  19. 9
  20. 67
  21. 60 min
  22. 80
  23. ₹195
  24. 7/9
  25. 55
  26. 12
  27. 26
  28. Wednesday
  29. 2
  30. 6.61
  31. 63
  32. 12
  33. 2 years
  34. 0.37
  35. 24 sq cm
  36. 120 min
  37. 120 min
  38. 12
  39. 300
  40. 3

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