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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 676 · 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.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 126 sq cm (b) 140 sq cm (c) 23 sq cm (d) 46 sq cm
  2. 2.Today is Sunday. What day of the week will it be after 78 days? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
  3. 3.Which fraction is greater: 5/8 or 9/11? (a) 5/8 (b) They are equal (c) 9/11
  4. 4.What is the smallest number you must add to 220 to make it divisible by 8? (a) 5 (b) 6 (c) 4 (d) 3
  5. 5.If 27 May is a Monday, what day of the week is 5 June? (a) Wednesday (b) Friday (c) Tuesday (d) Thursday
  6. 6.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 100 sq cm (d) 121 sq cm
  7. 7.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 11 sq cm (c) 30 sq cm (d) 22 sq cm
  8. 8.What is the units digit of 7^19? (a) 7 (b) 1 (c) 9 (d) 3
  9. 9.Which fraction is greater: 2/9 or 9/10? (a) 9/10 (b) 2/9 (c) They are equal
  10. 10.If 9x + 6 = 51, what is x? (a) 45 (b) 5 (c) 4 (d) 6
  11. 11.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) 144 cm (d) 11 cm
  12. 12.What is the simple interest on ₹6000 at 4% per year for 5 years? (a) ₹1200 (b) ₹7200 (c) ₹240 (d) ₹1440
  13. 13.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 22 sq cm (c) 28 sq cm (d) 11 sq cm
  14. 14.If 3x + 21 = 33, what is x? (a) 4 (b) 5 (c) 12 (d) 18
  15. 15.Two bells ring every 12 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 216 min (b) 6 min (c) 30 min (d) 36 min
  16. 16.A bag marked ₹1100 is sold at a 15% discount. What is its selling price? (a) ₹935 (b) ₹165 (c) ₹1265 (d) ₹1085
  17. 17.A teacher has 72 pencils and 84 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 504 (b) 12 (c) 72 (d) 6
  18. 18.Which fraction is greater: 7/12 or 1/10? (a) They are equal (b) 1/10 (c) 7/12
  19. 19.What is the average of all the whole numbers from 27 to 57? (a) 30 (b) 15 (c) 43 (d) 42
  20. 20.Which fraction is greater: 2/3 or 3/10? (a) They are equal (b) 2/3 (c) 3/10
  21. 21.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 94 (b) 8 (c) 54 (d) 48
  22. 22.2/3 + 1/4 = ? (a) 5/6 (b) 1 (c) 3/7 (d) 11/12
  23. 23.What is the smallest number of sweets that can be shared equally among 6 children or among 15 children, with none left over? (a) 60 (b) 21 (c) 30 (d) 90
  24. 24.If 27 June is a Saturday, what day of the week is 6 July? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
  25. 25.What is the simple interest on ₹1000 at 10% per year for 2 years? (a) ₹1200 (b) ₹100 (c) ₹300 (d) ₹200
  26. 26.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 49 sq cm
  27. 27.Every pair follows the same rule: 2 : 5, 4 : 17, 7 : 50. What is 6 : ? (a) 37 (b) 39 (c) 38 (d) 9
  28. 28.The simple interest on ₹8000 for 3 years is ₹2880. What is the rate per year? (a) 12% (b) 36% (c) 11% (d) 13%
  29. 29.Two bells ring every 15 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 375 min (b) 75 min (c) 5 min (d) 40 min
  30. 30.6/7 + 2/7 = ? (a) 8/7 (b) 1 (c) 4/7 (d) 9/7
  31. 31.What is the average of all the whole numbers from 21 to 35? (a) 14 (b) 7 (c) 29 (d) 28
  32. 32.₹165 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹105 (b) ₹15 (c) ₹90 (d) ₹75
  33. 33.₹270 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹270 (b) ₹45 (c) ₹135 (d) ₹225
  34. 34.Which fraction is greater: 1/11 or 6/7? (a) They are equal (b) 1/11 (c) 6/7
  35. 35.Today is Tuesday. What day of the week will it be after 38 days? (a) Thursday (b) Saturday (c) Sunday (d) Friday
  36. 36.What is the units digit of 4^38? (a) 4 (b) 6 (c) 7 (d) 5
  37. 37.What is the units digit of 7^21? (a) 3 (b) 1 (c) 7 (d) 9
  38. 38.Which of these numbers is divisible by 11? (a) 5031 (b) 5039 (c) 5023 (d) 5027
  39. 39.If x/6 + 8 = 19, what is x? (a) 11 (b) 162 (c) 66 (d) 106
  40. 40.Every pair follows the same rule: 2 : 4, 3 : 6, 4 : 8. What is 7 : ? (a) 9 (b) 15 (c) 14 (d) 13

Answer key

  1. 126 sq cm
  2. Monday
  3. 9/11
  4. 4
  5. Wednesday
  6. 100 sq cm
  7. 30 sq cm
  8. 3
  9. 9/10
  10. 5
  11. 10 cm
  12. ₹1200
  13. 28 sq cm
  14. 4
  15. 36 min
  16. ₹935
  17. 12
  18. 7/12
  19. 42
  20. 2/3
  21. 54
  22. 11/12
  23. 30
  24. Monday
  25. ₹200
  26. 36 sq cm
  27. 37
  28. 12%
  29. 75 min
  30. 8/7
  31. 28
  32. ₹90
  33. ₹225
  34. 6/7
  35. Friday
  36. 6
  37. 7
  38. 5027
  39. 66
  40. 14

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