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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 171 · 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.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 37 (b) 13 (c) 14 (d) 18
  2. 2.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 4 (b) 37 (c) 22 (d) 19
  3. 3.What is the average of all the whole numbers from 26 to 44? (a) 18 (b) 9 (c) 36 (d) 35
  4. 4.7.77 + 7.3 = ? (a) 15.17 (b) 14.97 (c) 8.5 (d) 15.07
  5. 5.Every pair follows the same rule: 3 : 15, 6 : 24, 9 : 33. What is 5 : ? (a) 17 (b) 22 (c) 21 (d) 25
  6. 6.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 45 (b) 57 (c) 20 (d) 41
  7. 7.Which fraction is greater: 1/8 or 7/10? (a) 1/8 (b) They are equal (c) 7/10
  8. 8.What is the remainder when 298 is divided by 9? (a) 1 (b) 8 (c) 0 (d) 2
  9. 9.What is 3/4 of 16? (a) 4 (b) 13 (c) 12 (d) 16
  10. 10.Every pair follows the same rule: 3 : 12, 4 : 16, 6 : 24. What is 9 : ? (a) 35 (b) 36 (c) 18 (d) 37
  11. 11.Every pair follows the same rule: 5 : 26, 8 : 65, 9 : 82. What is 6 : ? (a) 37 (b) 31 (c) 27 (d) 38
  12. 12.What is the value of the digit 7 in 17.385? (a) 0.07 (b) 70 (c) 0.7 (d) 7
  13. 13.2/6 + 3/4 = ? (a) 7/6 (b) 1/2 (c) 1 (d) 13/12
  14. 14.What is the value of the digit 1 in 21.453? (a) 0.01 (b) 0.1 (c) 10 (d) 1
  15. 15.5.41 + 8.8 = ? (a) 14.31 (b) 6.29 (c) 14.11 (d) 14.21
  16. 16.If x/2 + 8 = 17, what is x? (a) 9 (b) 26 (c) 50 (d) 18
  17. 17.What is the smallest number you must add to 185 to make it divisible by 9? (a) 4 (b) 5 (c) 3 (d) 6
  18. 18.Today is Thursday. What day of the week will it be after 78 days? (a) Thursday (b) Friday (c) Sunday (d) Saturday
  19. 19.Every pair follows the same rule: 4 : 13, 6 : 19, 7 : 22. What is 3 : ? (a) 11 (b) 9 (c) 10 (d) 12
  20. 20.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 144 cm (b) 25 cm (c) 50 cm (d) 41 cm
  21. 21.Which of these numbers is divisible by 11? (a) 1246 (b) 1256 (c) 1238 (d) 1243
  22. 22.If 1 August is a Saturday, what day of the week is 14 August? (a) Saturday (b) Sunday (c) Thursday (d) Friday
  23. 23.What is 25% of 820? (a) 410 (b) 2050 (c) 615 (d) 205
  24. 24.If 28 May is a Monday, what day of the week is 1 June? (a) Sunday (b) Saturday (c) Thursday (d) Friday
  25. 25.7.69 + 2.8 = ? (a) 10.49 (b) 10.39 (c) 10.59 (d) 7.97
  26. 26.Which is the smallest: 0.435, 0.52, 0.011, 0.5? (a) 0.435 (b) 0.52 (c) 0.011 (d) 0.5
  27. 27.Every pair follows the same rule: 3 : 15, 6 : 30, 7 : 35. What is 9 : ? (a) 44 (b) 21 (c) 45 (d) 46
  28. 28.6.85 + 7.8 = ? (a) 14.75 (b) 7.63 (c) 14.65 (d) 14.55
  29. 29.What is the value of the digit 9 in 92.875? (a) 90 (b) 0.09 (c) 9 (d) 0.9
  30. 30.₹1000 is invested at 6% per year simple interest. What is the amount after 2 years? (a) ₹1060 (b) ₹120 (c) ₹1120 (d) ₹1180
  31. 31.Which fraction is greater: 2/3 or 1/6? (a) 2/3 (b) They are equal (c) 1/6
  32. 32.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 27 cm
  33. 33.If x/3 + 3 = 15, what is x? (a) 42 (b) 36 (c) 12 (d) 54
  34. 34.What is the value of the digit 7 in 82.167? (a) 7 (b) 0.7 (c) 0.007 (d) 0.07
  35. 35.₹7000 is invested at 6% per year simple interest. What is the amount after 4 years? (a) ₹8680 (b) ₹1680 (c) ₹9100 (d) ₹7420
  36. 36.A teacher has 10 pencils and 25 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 15 (b) 10 (c) 1 (d) 5
  37. 37.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 10 cm (c) 4 cm (d) 2 cm
  38. 38.If 9x − 43 = 20, what is x? (a) 8 (b) 7 (c) 6 (d) 63
  39. 39.If 6x − 35 = 1, what is x? (a) 6 (b) 36 (c) 5 (d) 7
  40. 40.If x/6 + 4 = 9, what is x? (a) 5 (b) 50 (c) 78 (d) 30

Answer key

  1. 13
  2. 22
  3. 35
  4. 15.07
  5. 21
  6. 57
  7. 7/10
  8. 1
  9. 12
  10. 36
  11. 37
  12. 7
  13. 13/12
  14. 1
  15. 14.21
  16. 18
  17. 4
  18. Friday
  19. 10
  20. 50 cm
  21. 1243
  22. Friday
  23. 205
  24. Friday
  25. 10.49
  26. 0.011
  27. 45
  28. 14.65
  29. 90
  30. ₹1120
  31. 2/3
  32. 4 cm
  33. 36
  34. 0.007
  35. ₹8680
  36. 5
  37. 2 cm
  38. 7
  39. 6
  40. 30

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