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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 428 · 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.If 11 March is a Tuesday, what day of the week is 11 April? (a) Thursday (b) Friday (c) Saturday (d) Sunday
  2. 2.8.05 + 3.3 = ? (a) 11.45 (b) 11.25 (c) 11.35 (d) 8.38
  3. 3.What is the average of 43, 61, 42 and 62? (a) 53 (b) 54 (c) 51 (d) 52
  4. 4.₹8500 is invested at 12% per year simple interest. What is the amount after 2 years? (a) ₹9520 (b) ₹10540 (c) ₹2040 (d) ₹11560
  5. 5.2/3 + 4/8 = ? (a) 6/11 (b) 7/6 (c) 9/8 (d) 29/24
  6. 6.Every pair follows the same rule: 2 : 21, 5 : 24, 7 : 26. What is 3 : ? (a) 21 (b) 23 (c) 22 (d) 24
  7. 7.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 48 cm (c) 108 cm (d) 24 cm
  8. 8.Which of these numbers is divisible by 6? (a) 4729 (b) 4738 (c) 4741 (d) 4734
  9. 9.What is the simple interest on ₹8500 at 8% per year for 5 years? (a) ₹11900 (b) ₹3400 (c) ₹4080 (d) ₹680
  10. 10.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 144 cm (b) 20 cm (c) 11 cm (d) 10 cm
  11. 11.Which is the greatest: 0.027, 0.6, 0.66, 0.559? (a) 0.027 (b) 0.6 (c) 0.66 (d) 0.559
  12. 12.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 112 cm (b) 44 cm (c) 36 cm (d) 22 cm
  13. 13.2/4 + 2/3 = ? (a) 13/12 (b) 5/4 (c) 4/7 (d) 7/6
  14. 14.If 4 March is a Tuesday, what day of the week is 16 March? (a) Monday (b) Sunday (c) Tuesday (d) Saturday
  15. 15.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 51 (b) 48 (c) 95 (d) 4
  16. 16.The simple interest on ₹1500 for 3 years is ₹90. What is the rate per year? (a) 6% (b) 1% (c) 3% (d) 2%
  17. 17.₹245 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹49 (b) ₹196 (c) ₹197 (d) ₹245
  18. 18.8.91 + 1.1 = ? (a) 10.11 (b) 9.02 (c) 10.01 (d) 9.91
  19. 19.Which of these numbers is divisible by 3? (a) 2692 (b) 2689 (c) 2696 (d) 2691
  20. 20.If 16 October is a Sunday, what day of the week is 10 November? (a) Saturday (b) Friday (c) Thursday (d) Wednesday
  21. 21.5.23 + 5.5 = ? (a) 10.63 (b) 5.78 (c) 10.73 (d) 10.83
  22. 22.4 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 15 days (c) 5 days (d) 14 days
  23. 23.Two bells ring every 12 minutes and every 16 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 48 min (b) 28 min (c) 4 min (d) 192 min
  24. 24.What is the units digit of 8^27? (a) 8 (b) 6 (c) 2 (d) 4
  25. 25.If x/3 + 6 = 13, what is x? (a) 33 (b) 57 (c) 7 (d) 21
  26. 26.If 25 May is a Tuesday, what day of the week is 2 June? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
  27. 27.What is 1/2 of 18? (a) 9 (b) 8 (c) 18 (d) 10
  28. 28.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 50 sq cm (c) 15 sq cm (d) 60 sq cm
  29. 29.Today is Friday. What day of the week will it be after 93 days? (a) Tuesday (b) Monday (c) Saturday (d) Sunday
  30. 30.What is the smallest number you must add to 226 to make it divisible by 7? (a) 5 (b) 2 (c) 6 (d) 4
  31. 31.A bag marked ₹1680 is sold at a 30% discount. What is its selling price? (a) ₹2184 (b) ₹1650 (c) ₹504 (d) ₹1176
  32. 32.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 19 (b) 28 (c) 35 (d) 12
  33. 33.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 8 cm (c) 4 cm (d) 6 cm
  34. 34.Every pair follows the same rule: 5 : 26, 8 : 65, 9 : 82. What is 7 : ? (a) 51 (b) 28 (c) 48 (d) 50
  35. 35.Every pair follows the same rule: 2 : 12, 3 : 17, 4 : 24. What is 9 : ? (a) 89 (b) 54 (c) 19 (d) 59
  36. 36.Which fraction is greater: 1/4 or 4/5? (a) 1/4 (b) 4/5 (c) They are equal
  37. 37.Two ribbons are 12 cm and 14 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 2 cm (c) 84 cm (d) 12 cm
  38. 38.A shopkeeper buys a toy for ₹760 and sells it for ₹874. What is his profit percent? (a) 10% (b) 15% (c) 20% (d) 16%
  39. 39.What is the value of the digit 2 in 28.691? (a) 2 (b) 0.02 (c) 0.2 (d) 20
  40. 40.In how many years will ₹1500 earn ₹270 simple interest at 6% per year? (a) 4 years (b) 6 years (c) 2 years (d) 3 years

Answer key

  1. Friday
  2. 11.35
  3. 52
  4. ₹10540
  5. 7/6
  6. 22
  7. 48 cm
  8. 4734
  9. ₹3400
  10. 10 cm
  11. 0.66
  12. 44 cm
  13. 7/6
  14. Sunday
  15. 51
  16. 2%
  17. ₹196
  18. 10.01
  19. 2691
  20. Thursday
  21. 10.73
  22. 14 days
  23. 48 min
  24. 2
  25. 21
  26. Wednesday
  27. 9
  28. 50 sq cm
  29. Sunday
  30. 5
  31. ₹1176
  32. 28
  33. 3 cm
  34. 50
  35. 89
  36. 4/5
  37. 2 cm
  38. 15%
  39. 20
  40. 3 years

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