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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 62 · 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.Two ribbons are 6 cm and 27 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 6 cm (c) 21 cm (d) 1 cm
  2. 2.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) 80 min (c) 2 min (d) 40 min
  3. 3.A shopkeeper buys a toy for ₹720 and sells it for ₹756. What is his profit percent? (a) 10% (b) 6% (c) 5% (d) 36%
  4. 4.Today is Tuesday. What day of the week will it be after 76 days? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
  5. 5.A bag marked ₹1980 is sold at a 10% discount. What is its selling price? (a) ₹198 (b) ₹2178 (c) ₹1970 (d) ₹1782
  6. 6.₹270 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹81 (b) ₹27 (c) ₹135 (d) ₹189
  7. 7.If 6x + 6 = 96, what is x? (a) 16 (b) 90 (c) 15 (d) 17
  8. 8.1.54 + 1.6 = ? (a) 3.24 (b) 1.7 (c) 3.14 (d) 3.04
  9. 9.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 66 sq cm (c) 17 sq cm (d) 34 sq cm
  10. 10.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 130 cm (c) 11 cm (d) 12 cm
  11. 11.What is the value of the digit 8 in 91.823? (a) 8 (b) 0.008 (c) 0.8 (d) 0.08
  12. 12.What is the value of the digit 5 in 35.792? (a) 50 (b) 0.05 (c) 0.5 (d) 5
  13. 13.What is 1/9 of 18? (a) 4 (b) 2 (c) 16 (d) 3
  14. 14.4.35 + 5.1 = ? (a) 9.55 (b) 4.86 (c) 9.45 (d) 9.35
  15. 15.The simple interest on ₹8000 for 5 years is ₹3600. What is the rate per year? (a) 9% (b) 45% (c) 10% (d) 8%
  16. 16.If 3 kites cost ₹21, how much do 6 kites cost? (a) ₹126 (b) ₹42 (c) ₹49 (d) ₹24
  17. 17.Two ribbons are 4 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 1 cm (c) 14 cm (d) 2 cm
  18. 18.A shopkeeper buys a toy for ₹700 and sells it for ₹875. What is his profit percent? (a) 30% (b) 20% (c) 25% (d) 26%
  19. 19.If 8 pens cost ₹200, how much do 2 pens cost? (a) ₹75 (b) ₹400 (c) ₹194 (d) ₹50
  20. 20.Every pair follows the same rule: 7 : 47, 8 : 62, 9 : 79. What is 3 : ? (a) 6 (b) 7 (c) 8 (d) 43
  21. 21.What is the remainder when 125 is divided by 3? (a) 0 (b) 1 (c) 2
  22. 22.What is the average of all the whole numbers from 5 to 15? (a) 9 (b) 5 (c) 11 (d) 10
  23. 23.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  24. 24.If 6x + 14 = x + 44, what is x? (a) 5 (b) 8 (c) 6 (d) 7
  25. 25.If 13 October is a Sunday, what day of the week is 23 October? (a) Wednesday (b) Thursday (c) Friday (d) Tuesday
  26. 26.The simple interest on ₹10000 for 3 years is ₹900. What is the rate per year? (a) 2% (b) 9% (c) 3% (d) 4%
  27. 27.₹468 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹234 (b) ₹144 (c) ₹36 (d) ₹324
  28. 28.If 18 March is a Monday, what day of the week is 11 April? (a) Friday (b) Thursday (c) Wednesday (d) Saturday
  29. 29.5/6 + 2/3 = ? (a) 4/3 (b) 3/2 (c) 5/3 (d) 7/9
  30. 30.What is the smallest number of sweets that can be shared equally among 10 children or among 15 children, with none left over? (a) 60 (b) 150 (c) 25 (d) 30
  31. 31.What is the average of all the whole numbers from 8 to 38? (a) 23 (b) 30 (c) 24 (d) 15
  32. 32.Every pair follows the same rule: 2 : 8, 3 : 27, 4 : 64. What is 6 : ? (a) 216 (b) 138 (c) 24 (d) 12
  33. 33.If 13 August is a Friday, what day of the week is 6 September? (a) Sunday (b) Wednesday (c) Monday (d) Tuesday
  34. 34.A teacher has 10 pencils and 14 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 2 (c) 4 (d) 1
  35. 35.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 47? (a) 89 (b) 49 (c) 54 (d) 47
  36. 36.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 65 (b) 35 (c) 37 (d) 44
  37. 37.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 27 cm (c) 5 cm (d) 4 cm
  38. 38.If 4 mangoes cost ₹72, how much do 10 mangoes cost? (a) ₹78 (b) ₹198 (c) ₹720 (d) ₹180
  39. 39.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 35 (b) 40 (c) 16 (d) 21
  40. 40.Every pair follows the same rule: 3 : 9, 6 : 36, 7 : 49. What is 8 : ? (a) 62 (b) 24 (c) 64 (d) 14

Answer key

  1. 3 cm
  2. 40 min
  3. 5%
  4. Monday
  5. ₹1782
  6. ₹189
  7. 15
  8. 3.14
  9. 66 sq cm
  10. 11 cm
  11. 0.8
  12. 5
  13. 2
  14. 9.45
  15. 9%
  16. ₹42
  17. 2 cm
  18. 25%
  19. ₹50
  20. 7
  21. 2
  22. 10
  23. 36 sq cm
  24. 6
  25. Wednesday
  26. 3%
  27. ₹324
  28. Thursday
  29. 3/2
  30. 30
  31. 23
  32. 216
  33. Monday
  34. 2
  35. 89
  36. 65
  37. 4 cm
  38. ₹180
  39. 35
  40. 64

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