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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 574 · 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 the value of the digit 2 in 23.617? (a) 0.02 (b) 2 (c) 20 (d) 0.2
  2. 2.Two ribbons are 16 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) 8 cm (b) 24 cm (c) 4 cm (d) 16 cm
  3. 3.What is 10% of 780? (a) 702 (b) 780 (c) 78 (d) 156
  4. 4.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 3 cm (c) 12 cm (d) 2 cm
  5. 5.5 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 17 days (b) 6 days (c) 4 days (d) 5 days
  6. 6.What is the average of 64, 68, 80 and 68? (a) 70 (b) 72 (c) 71 (d) 69
  7. 7.If 29 March is a Sunday, what day of the week is 12 April? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
  8. 8.If 5 March is a Monday, what day of the week is 21 March? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
  9. 9.A teacher has 40 pencils and 70 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 30 (c) 40 (d) 5
  10. 10.₹240 is shared between two friends in the ratio 1 : 9. How much is the bigger share? (a) ₹240 (b) ₹216 (c) ₹120 (d) ₹24
  11. 11.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 144 sq cm (d) 169 sq cm
  12. 12.If 14 January is a Thursday, what day of the week is 30 January? (a) Friday (b) Monday (c) Sunday (d) Saturday
  13. 13.Today is Friday. What day of the week will it be after 99 days? (a) Sunday (b) Saturday (c) Friday (d) Monday
  14. 14.Which of these numbers is divisible by 6? (a) 1063 (b) 1062 (c) 1070 (d) 1057
  15. 15.6 workers can build a wall in 9 days. How many days will 2 workers take, working at the same speed? (a) 27 days (b) 13 days (c) 3 days (d) 5 days
  16. 16.6 workers can build a wall in 8 days. How many days will 8 workers take, working at the same speed? (a) 5 days (b) 7 days (c) 6 days (d) 10 days
  17. 17.Which of these numbers is divisible by 4? (a) 590 (b) 594 (c) 598 (d) 592
  18. 18.What is the remainder when 632 is divided by 11? (a) 6 (b) 5 (c) 4 (d) 7
  19. 19.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 64 sq cm (d) 28 sq cm
  20. 20.₹6500 is invested at 10% per year simple interest. What is the amount after 3 years? (a) ₹9100 (b) ₹1950 (c) ₹7150 (d) ₹8450
  21. 21.What is the remainder when 228 is divided by 11? (a) 7 (b) 3 (c) 9 (d) 8
  22. 22.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 80 (b) 52 (c) 45 (d) 42
  23. 23.If 7x + 30 = 44, what is x? (a) 1 (b) 3 (c) 14 (d) 2
  24. 24.Which fraction is greater: 2/5 or 6/11? (a) 2/5 (b) 6/11 (c) They are equal
  25. 25.If 5x − 20 = 15, what is x? (a) 7 (b) 6 (c) 35 (d) 8
  26. 26.What is the average of 15, 6, 6 and 53? (a) 22 (b) 20 (c) 21 (d) 19
  27. 27.Which is the greatest: 0.755, 0.8, 0.011, 0.87? (a) 0.755 (b) 0.8 (c) 0.011 (d) 0.87
  28. 28.What is the average of all the whole numbers from 24 to 56? (a) 32 (b) 16 (c) 40 (d) 41
  29. 29.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 4 : ? (a) 76 (b) 65 (c) 4 (d) 64
  30. 30.Which fraction is greater: 3/7 or 2/9? (a) 3/7 (b) They are equal (c) 2/9
  31. 31.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 63 (c) 84 (d) 27
  32. 32.What is the remainder when 212 is divided by 3? (a) 1 (b) 0 (c) 2
  33. 33.Which is the greatest: 0.075, 0.526, 0.6, 0.67? (a) 0.075 (b) 0.526 (c) 0.6 (d) 0.67
  34. 34.1/5 + 3/5 = ? (a) 2/5 (b) 4/5 (c) 1 (d) 3/5
  35. 35.Which fraction is greater: 4/7 or 4/5? (a) 4/5 (b) 4/7 (c) They are equal
  36. 36.A bag marked ₹1340 is sold at a 25% discount. What is its selling price? (a) ₹1675 (b) ₹335 (c) ₹1315 (d) ₹1005
  37. 37.If 5x + 15 = 3x + 33, what is x? (a) 24 (b) 9 (c) 11 (d) 10
  38. 38.If 6x − 22 = 38, what is x? (a) 11 (b) 9 (c) 10 (d) 60
  39. 39.Today is Wednesday. What day of the week will it be after 15 days? (a) Friday (b) Saturday (c) Wednesday (d) Thursday
  40. 40.Every pair follows the same rule: 2 : 10, 6 : 22, 7 : 25. What is 9 : ? (a) 32 (b) 17 (c) 31 (d) 45

Answer key

  1. 20
  2. 8 cm
  3. 78
  4. 2 cm
  5. 5 days
  6. 70
  7. Sunday
  8. Wednesday
  9. 10
  10. ₹216
  11. 144 sq cm
  12. Saturday
  13. Saturday
  14. 1062
  15. 27 days
  16. 6 days
  17. 592
  18. 5
  19. 49 sq cm
  20. ₹8450
  21. 8
  22. 80
  23. 2
  24. 6/11
  25. 7
  26. 20
  27. 0.87
  28. 40
  29. 64
  30. 3/7
  31. 84
  32. 2
  33. 0.67
  34. 4/5
  35. 4/5
  36. ₹1005
  37. 9
  38. 10
  39. Thursday
  40. 31

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