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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 501 · 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 8x − 53 = 11, what is x? (a) 7 (b) 9 (c) 64 (d) 8
  2. 2.Every pair follows the same rule: 5 : 25, 6 : 36, 8 : 64. What is 3 : ? (a) 15 (b) 23 (c) 10 (d) 9
  3. 3.If 7 May is a Friday, what day of the week is 15 May? (a) Sunday (b) Saturday (c) Monday (d) Friday
  4. 4.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 120 min (b) 22 min (c) 60 min (d) 2 min
  5. 5.What is 20% of 480? (a) 384 (b) 960 (c) 96 (d) 192
  6. 6.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 19 cm (c) 34 cm (d) 38 cm
  7. 7.What is the value of the digit 5 in 65.832? (a) 50 (b) 0.05 (c) 5 (d) 0.5
  8. 8.What is the units digit of 9^23? (a) 1 (b) 8 (c) 7 (d) 9
  9. 9.What is the value of the digit 5 in 47.985? (a) 5 (b) 0.5 (c) 0.05 (d) 0.005
  10. 10.What is the units digit of 7^38? (a) 7 (b) 3 (c) 9 (d) 1
  11. 11.Every pair follows the same rule: 2 : 6, 3 : 8, 9 : 20. What is 6 : ? (a) 10 (b) 18 (c) 14 (d) 15
  12. 12.A teacher has 36 pencils and 84 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 6 (b) 12 (c) 36 (d) 48
  13. 13.2/5 + 5/6 = ? (a) 7/11 (b) 19/15 (c) 6/5 (d) 37/30
  14. 14.3.65 + 8.5 = ? (a) 12.25 (b) 12.05 (c) 4.5 (d) 12.15
  15. 15.1/5 + 3/6 = ? (a) 11/15 (b) 4/11 (c) 2/3 (d) 7/10
  16. 16.What is the average of 42, 47, 41, 34 and 31? (a) 41 (b) 38 (c) 40 (d) 39
  17. 17.What is the average of all the whole numbers from 59 to 73? (a) 14 (b) 67 (c) 66 (d) 7
  18. 18.Which of these numbers is divisible by 9? (a) 5616 (b) 5609 (c) 5617 (d) 5628
  19. 19.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 128 sq cm (c) 46 sq cm (d) 23 sq cm
  20. 20.₹517 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹94 (b) ₹423 (c) ₹47 (d) ₹470
  21. 21.A shopkeeper buys a toy for ₹160 and sells it for ₹224. What is his profit percent? (a) 40% (b) 45% (c) 64% (d) 35%
  22. 22.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 54 (b) 57 (c) 29 (d) 32
  23. 23.Which of these numbers is divisible by 3? (a) 1195 (b) 1191 (c) 1193 (d) 1190
  24. 24.If 7 kites cost ₹63, how much do 5 kites cost? (a) ₹45 (b) ₹315 (c) ₹54 (d) ₹61
  25. 25.If 2 pens cost ₹12, how much do 11 pens cost? (a) ₹21 (b) ₹66 (c) ₹72 (d) ₹132
  26. 26.Which of these numbers is divisible by 4? (a) 3092 (b) 3099 (c) 3089 (d) 3093
  27. 27.What is the value of the digit 5 in 75.963? (a) 0.05 (b) 5 (c) 50 (d) 0.5
  28. 28.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 34 (b) 67 (c) 7 (d) 40
  29. 29.₹481 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹333 (b) ₹148 (c) ₹37 (d) ₹370
  30. 30.3/4 + 2/4 = ? (a) 3/2 (b) 5/4 (c) 1 (d) 5/8
  31. 31.Which fraction is greater: 7/8 or 2/3? (a) 2/3 (b) 7/8 (c) They are equal
  32. 32.1/3 + 2/8 = ? (a) 13/24 (b) 5/8 (c) 3/11 (d) 7/12
  33. 33.If 22 October is a Saturday, what day of the week is 5 November? (a) Saturday (b) Friday (c) Sunday (d) Monday
  34. 34.Which of these numbers is divisible by 9? (a) 5841 (b) 5837 (c) 5853 (d) 5842
  35. 35.If 12 October is a Sunday, what day of the week is 27 October? (a) Wednesday (b) Sunday (c) Monday (d) Tuesday
  36. 36.If 9x + 7 = 8x + 9, what is x? (a) 3 (b) 2 (c) 16 (d) 4
  37. 37.7 workers can build a wall in 8 days. How many days will 4 workers take, working at the same speed? (a) 11 days (b) 15 days (c) 14 days (d) 5 days
  38. 38.Two ribbons are 24 cm and 40 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 24 cm (b) 4 cm (c) 16 cm (d) 8 cm
  39. 39.Every pair follows the same rule: 3 : 12, 5 : 20, 6 : 24. What is 2 : ? (a) 8 (b) 11 (c) 7 (d) 9
  40. 40.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

Answer key

  1. 8
  2. 9
  3. Saturday
  4. 60 min
  5. 96
  6. 38 cm
  7. 5
  8. 9
  9. 0.005
  10. 9
  11. 14
  12. 12
  13. 37/30
  14. 12.15
  15. 7/10
  16. 39
  17. 66
  18. 5616
  19. 112 sq cm
  20. ₹423
  21. 40%
  22. 57
  23. 1191
  24. ₹45
  25. ₹66
  26. 3092
  27. 5
  28. 40
  29. ₹333
  30. 5/4
  31. 7/8
  32. 7/12
  33. Saturday
  34. 5841
  35. Monday
  36. 2
  37. 14 days
  38. 8 cm
  39. 8
  40. 105 min

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