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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 166 · 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 is the greatest: 0.31, 0.057, 0.236, 0.3? (a) 0.31 (b) 0.057 (c) 0.236 (d) 0.3
  2. 2.Which of these numbers is divisible by 4? (a) 785 (b) 788 (c) 790 (d) 793
  3. 3.What is the value of the digit 5 in 38.256? (a) 0.005 (b) 0.5 (c) 5 (d) 0.05
  4. 4.Every pair follows the same rule: 2 : 1, 3 : 6, 9 : 78. What is 8 : ? (a) 66 (b) 61 (c) 60 (d) 62
  5. 5.If 6 March is a Saturday, what day of the week is 22 March? (a) Monday (b) Tuesday (c) Wednesday (d) Sunday
  6. 6.What is the smallest number you must add to 541 to make it divisible by 8? (a) 5 (b) 3 (c) 2 (d) 4
  7. 7.Which of these numbers is divisible by 4? (a) 2112 (b) 2119 (c) 2115 (d) 2109
  8. 8.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 8 (b) 7 (c) 49 (d) 22
  9. 9.If 7 May is a Wednesday, what day of the week is 22 May? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
  10. 10.Two bells ring every 15 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 105 min (b) 5 min (c) 50 min (d) 525 min
  11. 11.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  12. 12.What is the units digit of 7^11? (a) 9 (b) 3 (c) 1 (d) 7
  13. 13.Today is Friday. What day of the week will it be after 93 days? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
  14. 14.What is the remainder when 201 is divided by 11? (a) 4 (b) 2 (c) 3 (d) 8
  15. 15.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 20 cm (b) 10 cm (c) 11 cm (d) 144 cm
  16. 16.Two ribbons are 10 cm and 15 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 10 cm (b) 30 cm (c) 1 cm (d) 5 cm
  17. 17.Which of these numbers is divisible by 8? (a) 5443 (b) 5431 (c) 5435 (d) 5432
  18. 18.If 5x + 18 = 38, what is x? (a) 5 (b) 20 (c) 4 (d) 3
  19. 19.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 14 min (c) 20 min (d) 40 min
  20. 20.9.57 + 3.1 = ? (a) 12.77 (b) 12.57 (c) 12.67 (d) 9.88
  21. 21.Every pair follows the same rule: 6 : 27, 7 : 31, 9 : 39. What is 2 : ? (a) 12 (b) 11 (c) 23 (d) 10
  22. 22.Every pair follows the same rule: 4 : 13, 7 : 22, 8 : 25. What is 9 : ? (a) 27 (b) 28 (c) 18 (d) 29
  23. 23.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
  24. 24.6/8 + 3/4 = ? (a) 3/4 (b) 13/8 (c) 11/8 (d) 3/2
  25. 25.What is the average of all the whole numbers from 49 to 83? (a) 67 (b) 66 (c) 17 (d) 34
  26. 26.Which is the greatest: 0.046, 0.55, 0.496, 0.5? (a) 0.046 (b) 0.55 (c) 0.496 (d) 0.5
  27. 27.1/4 + 1/5 = ? (a) 2/5 (b) 9/20 (c) 1/2 (d) 2/9
  28. 28.If 1 March is a Saturday, what day of the week is 13 March? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
  29. 29.Today is Friday. What day of the week will it be after 27 days? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
  30. 30.5 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 5 days (b) 4 days (c) 17 days (d) 6 days
  31. 31.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 20 (c) 41 (d) 25
  32. 32.What is the average of 64, 84, 75, 67, 74 and 92? (a) 77 (b) 76 (c) 75 (d) 78
  33. 33.Which fraction is greater: 4/7 or 5/12? (a) They are equal (b) 5/12 (c) 4/7
  34. 34.Every pair follows the same rule: 3 : 6, 4 : 10, 9 : 30. What is 7 : ? (a) 22 (b) 14 (c) 23 (d) 10
  35. 35.What is the smallest number you must add to 881 to make it divisible by 11? (a) 9 (b) 10 (c) 8 (d) 1
  36. 36.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 45 min (b) 100 min (c) 5 min (d) 500 min
  37. 37.What is the simple interest on ₹1500 at 3% per year for 4 years? (a) ₹225 (b) ₹45 (c) ₹180 (d) ₹1680
  38. 38.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 4 min (c) 36 min (d) 224 min
  39. 39.What is the simple interest on ₹5500 at 3% per year for 2 years? (a) ₹330 (b) ₹495 (c) ₹165 (d) ₹5830
  40. 40.Every pair follows the same rule: 6 : 20, 7 : 24, 9 : 32. What is 2 : ? (a) 3 (b) 4 (c) 5 (d) 16

Answer key

  1. 0.31
  2. 788
  3. 0.05
  4. 61
  5. Monday
  6. 3
  7. 2112
  8. 7
  9. Thursday
  10. 105 min
  11. 36 sq cm
  12. 3
  13. Sunday
  14. 3
  15. 10 cm
  16. 5 cm
  17. 5432
  18. 4
  19. 20 min
  20. 12.67
  21. 11
  22. 28
  23. 27 sq cm
  24. 3/2
  25. 66
  26. 0.55
  27. 9/20
  28. Thursday
  29. Thursday
  30. 5 days
  31. 41
  32. 76
  33. 4/7
  34. 22
  35. 10
  36. 100 min
  37. ₹180
  38. 56 min
  39. ₹330
  40. 4

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