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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 628 · 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.₹4500 is invested at 11% per year simple interest. What is the amount after 2 years? (a) ₹5985 (b) ₹4995 (c) ₹990 (d) ₹5490
  2. 2.1/3 + 1/2 = ? (a) 2/5 (b) 2/3 (c) 1 (d) 5/6
  3. 3.Which fraction is greater: 3/11 or 7/9? (a) 7/9 (b) 3/11 (c) They are equal
  4. 4.What is the average of 85, 65, 66, 81, 86 and 79? (a) 76 (b) 78 (c) 77 (d) 79
  5. 5.If 27 November is a Tuesday, what day of the week is 10 December? (a) Wednesday (b) Monday (c) Sunday (d) Tuesday
  6. 6.What is the units digit of 4^42? (a) 7 (b) 6 (c) 4 (d) 5
  7. 7.Today is Thursday. What day of the week will it be after 48 days? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
  8. 8.If 6x − 54 = 24, what is x? (a) 78 (b) 14 (c) 13 (d) 12
  9. 9.A shopkeeper buys a toy for ₹760 and sells it for ₹722. What is his loss percent? (a) 38% (b) 10% (c) 6% (d) 5%
  10. 10.What is the average of all the whole numbers from 13 to 49? (a) 36 (b) 18 (c) 32 (d) 31
  11. 11.Which fraction is greater: 3/4 or 2/3? (a) 2/3 (b) They are equal (c) 3/4
  12. 12.A shopkeeper buys a toy for ₹840 and sells it for ₹966. What is his profit percent? (a) 20% (b) 16% (c) 10% (d) 15%
  13. 13.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 60 (b) 44 (c) 84 (d) 20
  14. 14.Every pair follows the same rule: 1 : 1, 2 : 8, 6 : 216. What is 3 : ? (a) 60 (b) 28 (c) 27 (d) 3
  15. 15.If 2 pens cost ₹18, how much do 11 pens cost? (a) ₹99 (b) ₹198 (c) ₹108 (d) ₹27
  16. 16.Which of these numbers is divisible by 3? (a) 1766 (b) 1768 (c) 1762 (d) 1764
  17. 17.5.83 + 1.7 = ? (a) 7.63 (b) 7.53 (c) 6 (d) 7.43
  18. 18.Every pair follows the same rule: 1 : 1, 2 : 8, 3 : 27. What is 4 : ? (a) 46 (b) 4 (c) 65 (d) 64
  19. 19.The simple interest on ₹4500 for 5 years is ₹1125. What is the rate per year? (a) 25% (b) 6% (c) 5% (d) 4%
  20. 20.If 17 July is a Wednesday, what day of the week is 17 August? (a) Sunday (b) Saturday (c) Friday (d) Monday
  21. 21.Every pair follows the same rule: 5 : 28, 6 : 39, 8 : 67. What is 2 : ? (a) 25 (b) 8 (c) 7 (d) 6
  22. 22.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 19 cm (c) 12 cm (d) 24 cm
  23. 23.In how many years will ₹2500 earn ₹750 simple interest at 6% per year? (a) 5 years (b) 6 years (c) 4 years (d) 10 years
  24. 24.If 2 kites cost ₹20, how much do 8 kites cost? (a) ₹160 (b) ₹26 (c) ₹80 (d) ₹90
  25. 25.3.65 + 8.6 = ? (a) 12.15 (b) 4.51 (c) 12.25 (d) 12.35
  26. 26.Every pair follows the same rule: 3 : 20, 5 : 28, 8 : 40. What is 6 : ? (a) 31 (b) 33 (c) 23 (d) 32
  27. 27.If 30 September is a Monday, what day of the week is 1 October? (a) Tuesday (b) Monday (c) Wednesday (d) Thursday
  28. 28.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 60 cm (c) 29 cm (d) 34 cm
  29. 29.If 8x + 14 = x + 35, what is x? (a) 3 (b) 5 (c) 7 (d) 4
  30. 30.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 198 sq cm (b) 28 sq cm (c) 180 sq cm (d) 56 sq cm
  31. 31.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
  32. 32.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
  33. 33.What is the average of 45, 43, 48 and 76? (a) 55 (b) 52 (c) 53 (d) 54
  34. 34.What is 2/3 of 6? (a) 2 (b) 6 (c) 4 (d) 5
  35. 35.The simple interest on ₹5500 for 2 years is ₹550. What is the rate per year? (a) 6% (b) 4% (c) 10% (d) 5%
  36. 36.What is the simple interest on ₹3000 at 6% per year for 3 years? (a) ₹3540 (b) ₹180 (c) ₹540 (d) ₹720
  37. 37.What is the average of all the whole numbers from 13 to 19? (a) 3 (b) 17 (c) 16 (d) 6
  38. 38.2.18 + 2.6 = ? (a) 2.44 (b) 4.68 (c) 4.88 (d) 4.78
  39. 39.What is 1/2 of 20? (a) 9 (b) 20 (c) 11 (d) 10
  40. 40.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 42 (b) 27 (c) 88 (d) 26

Answer key

  1. ₹5490
  2. 5/6
  3. 7/9
  4. 77
  5. Monday
  6. 6
  7. Wednesday
  8. 13
  9. 5%
  10. 31
  11. 3/4
  12. 15%
  13. 60
  14. 27
  15. ₹99
  16. 1764
  17. 7.53
  18. 64
  19. 5%
  20. Saturday
  21. 7
  22. 24 cm
  23. 5 years
  24. ₹80
  25. 12.25
  26. 32
  27. Tuesday
  28. 34 cm
  29. 3
  30. 180 sq cm
  31. 25 sq cm
  32. 36 sq cm
  33. 53
  34. 4
  35. 5%
  36. ₹540
  37. 16
  38. 4.78
  39. 10
  40. 26

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