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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 228 · 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 4/5 of 50? (a) 40 (b) 10 (c) 50 (d) 41
  2. 2.If 13 July is a Saturday, what day of the week is 22 July? (a) Tuesday (b) Wednesday (c) Sunday (d) Monday
  3. 3.Which of these numbers is divisible by 4? (a) 2388 (b) 2393 (c) 2386 (d) 2389
  4. 4.Every pair follows the same rule: 1 : 1, 4 : 64, 6 : 216. What is 2 : ? (a) 2 (b) 8 (c) 7 (d) 9
  5. 5.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 28 sq cm (b) 190 sq cm (c) 56 sq cm (d) 171 sq cm
  6. 6.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 136 sq cm (c) 24 sq cm (d) 119 sq cm
  7. 7.Which is the greatest: 0.045, 0.6, 0.584, 0.63? (a) 0.045 (b) 0.6 (c) 0.584 (d) 0.63
  8. 8.If 9x − 3 = 15, what is x? (a) 3 (b) 2 (c) 18 (d) 1
  9. 9.A shopkeeper buys a toy for ₹740 and sells it for ₹851. What is his profit percent? (a) 16% (b) 15% (c) 10% (d) 20%
  10. 10.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 35 (b) 21 (c) 17 (d) 31
  11. 11.If x/3 + 2 = 8, what is x? (a) 18 (b) 30 (c) 22 (d) 6
  12. 12.If 6x + 25 = 73, what is x? (a) 48 (b) 8 (c) 7 (d) 9
  13. 13.If 2x + 5 = 27, what is x? (a) 22 (b) 16 (c) 12 (d) 11
  14. 14.If 14 January is a Sunday, what day of the week is 23 January? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
  15. 15.Every pair follows the same rule: 2 : 8, 4 : 16, 6 : 24. What is 9 : ? (a) 35 (b) 37 (c) 15 (d) 36
  16. 16.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 24 cm
  17. 17.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 77 cm (c) 9 cm (d) 16 cm
  18. 18.A shopkeeper buys a toy for ₹860 and sells it for ₹516. What is his loss percent? (a) 40% (b) 45% (c) 41% (d) 35%
  19. 19.If 8x − 15 = 1, what is x? (a) 3 (b) 2 (c) 1 (d) 16
  20. 20.Which fraction is greater: 7/11 or 1/4? (a) 7/11 (b) 1/4 (c) They are equal
  21. 21.If x/3 + 1 = 10, what is x? (a) 29 (b) 27 (c) 9 (d) 33
  22. 22.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 19 (b) 29 (c) 5 (d) 15
  23. 23.If 8x + 1 = 97, what is x? (a) 11 (b) 12 (c) 96 (d) 13
  24. 24.What is the average of 14, 15, 20 and 51? (a) 25 (b) 26 (c) 27 (d) 24
  25. 25.9 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 5 days (b) 21 days (c) 45 days (d) 9 days
  26. 26.Two bells ring every 8 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 18 min (b) 40 min (c) 80 min (d) 2 min
  27. 27.A teacher has 10 pencils and 16 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 10 (c) 6 (d) 1
  28. 28.If 24 June is a Thursday, what day of the week is 9 July? (a) Saturday (b) Sunday (c) Thursday (d) Friday
  29. 29.What is the average of 36, 35, 30 and 67? (a) 56 (b) 43 (c) 41 (d) 42
  30. 30.6 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 40 days (b) 9 days (c) 17 days (d) 39 days
  31. 31.Every pair follows the same rule: 2 : 10, 4 : 12, 5 : 13. What is 8 : ? (a) 16 (b) 15 (c) 40 (d) 17
  32. 32.4 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 5 days (b) 3 days (c) 18 days (d) 4 days
  33. 33.Which fraction is greater: 3/10 or 3/5? (a) 3/5 (b) 3/10 (c) They are equal
  34. 34.5/6 + 1/2 = ? (a) 3/2 (b) 3/4 (c) 7/6 (d) 4/3
  35. 35.Two ribbons are 24 cm and 84 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) 60 cm (c) 12 cm (d) 6 cm
  36. 36.What is the value of the digit 5 in 28.157? (a) 0.005 (b) 0.5 (c) 0.05 (d) 5
  37. 37.4/5 + 4/7 = ? (a) 7/5 (b) 2/3 (c) 47/35 (d) 48/35
  38. 38.In how many years will ₹5000 earn ₹1800 simple interest at 9% per year? (a) 5 years (b) 3 years (c) 8 years (d) 4 years
  39. 39.What is the smallest number you must add to 782 to make it divisible by 12? (a) 2 (b) 10 (c) 9 (d) 11
  40. 40.Every pair follows the same rule: 3 : 6, 4 : 13, 9 : 78. What is 5 : ? (a) 22 (b) 26 (c) 8 (d) 10

Answer key

  1. 40
  2. Monday
  3. 2388
  4. 8
  5. 171 sq cm
  6. 119 sq cm
  7. 0.63
  8. 2
  9. 15%
  10. 35
  11. 18
  12. 8
  13. 11
  14. Tuesday
  15. 36
  16. 4 cm
  17. 8 cm
  18. 40%
  19. 2
  20. 7/11
  21. 27
  22. 19
  23. 12
  24. 25
  25. 45 days
  26. 40 min
  27. 2
  28. Friday
  29. 42
  30. 39 days
  31. 16
  32. 4 days
  33. 3/5
  34. 4/3
  35. 12 cm
  36. 0.05
  37. 48/35
  38. 4 years
  39. 10
  40. 22

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