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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 894 · 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.₹2500 is invested at 6% per year simple interest. What is the amount after 4 years? (a) ₹2650 (b) ₹3100 (c) ₹3250 (d) ₹600
  2. 2.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 46 sq cm (b) 60 sq cm (c) 23 sq cm (d) 80 sq cm
  3. 3.Every pair follows the same rule: 3 : 14, 6 : 41, 7 : 54. What is 2 : ? (a) 10 (b) 13 (c) 9 (d) 8
  4. 4.8 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 33 days (b) 32 days (c) 2 days (d) 14 days
  5. 5.The simple interest on ₹3000 for 4 years is ₹360. What is the rate per year? (a) 12% (b) 3% (c) 4% (d) 2%
  6. 6.Every pair follows the same rule: 3 : 14, 4 : 18, 5 : 22. What is 7 : ? (a) 31 (b) 30 (c) 29 (d) 18
  7. 7.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 30 (b) 28 (c) 34 (d) 8
  8. 8.What is the value of the digit 5 in 51.632? (a) 5 (b) 50 (c) 0.05 (d) 0.5
  9. 9.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 114 cm (b) 25 cm (c) 44 cm (d) 50 cm
  10. 10.If 5x + 10 = 4x + 14, what is x? (a) 6 (b) 5 (c) 4 (d) 24
  11. 11.8.36 + 8.1 = ? (a) 9.17 (b) 16.36 (c) 16.46 (d) 16.56
  12. 12.What is the remainder when 167 is divided by 12? (a) 10 (b) 9 (c) 1 (d) 11
  13. 13.5/6 + 1/2 = ? (a) 3/4 (b) 7/6 (c) 4/3 (d) 3/2
  14. 14.If 7x + 24 = 115, what is x? (a) 13 (b) 12 (c) 14 (d) 91
  15. 15.If 12 May is a Friday, what day of the week is 21 May? (a) Tuesday (b) Sunday (c) Saturday (d) Monday
  16. 16.If 9x + 17 = 8x + 18, what is x? (a) 3 (b) 1 (c) 2 (d) 35
  17. 17.In how many years will ₹1500 earn ₹300 simple interest at 10% per year? (a) 4 years (b) 1 year (c) 3 years (d) 2 years
  18. 18.Every pair follows the same rule: 3 : 13, 8 : 28, 9 : 31. What is 2 : ? (a) 11 (b) 12 (c) 10 (d) 9
  19. 19.A shopkeeper buys a toy for ₹140 and sells it for ₹133. What is his loss percent? (a) 6% (b) 5% (c) 10% (d) 7%
  20. 20.Which of these numbers is divisible by 3? (a) 427 (b) 425 (c) 426 (d) 430
  21. 21.Which fraction is greater: 2/5 or 3/11? (a) They are equal (b) 2/5 (c) 3/11
  22. 22.7.24 + 3.1 = ? (a) 7.55 (b) 10.24 (c) 10.34 (d) 10.44
  23. 23.What is the units digit of 8^25? (a) 2 (b) 6 (c) 4 (d) 8
  24. 24.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 169 sq cm (b) 50 sq cm (c) 156 sq cm (d) 25 sq cm
  25. 25.Every pair follows the same rule: 5 : 8, 7 : 10, 9 : 12. What is 8 : ? (a) 11 (b) 10 (c) 13 (d) 12
  26. 26.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 60 cm (c) 6 cm (d) 5 cm
  27. 27.Two bells ring every 16 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 44 min (b) 448 min (c) 4 min (d) 112 min
  28. 28.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 27 (b) 126 (c) 42 (d) 84
  29. 29.What is the simple interest on ₹2000 at 6% per year for 5 years? (a) ₹2600 (b) ₹120 (c) ₹600 (d) ₹720
  30. 30.Today is Friday. What day of the week will it be after 19 days? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
  31. 31.Two ribbons are 45 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 18 cm (b) 45 cm (c) 3 cm (d) 9 cm
  32. 32.Every pair follows the same rule: 2 : 8, 3 : 12, 7 : 28. What is 5 : ? (a) 19 (b) 11 (c) 20 (d) 21
  33. 33.Today is Thursday. What day of the week will it be after 67 days? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
  34. 34.What is the average of 39, 58, 62, 47, 42 and 52? (a) 50 (b) 51 (c) 49 (d) 60
  35. 35.If 5x + 3 = 2x + 27, what is x? (a) 7 (b) 9 (c) 8 (d) 10
  36. 36.If 10 July is a Friday, what day of the week is 20 August? (a) Saturday (b) Thursday (c) Wednesday (d) Friday
  37. 37.The simple interest on ₹8500 for 4 years is ₹3740. What is the rate per year? (a) 10% (b) 11% (c) 12% (d) 44%
  38. 38.Which of these numbers is divisible by 8? (a) 4736 (b) 4730 (c) 4747 (d) 4741
  39. 39.Today is Tuesday. What day of the week will it be after 70 days? (a) Wednesday (b) Thursday (c) Tuesday (d) Monday
  40. 40.Every pair follows the same rule: 3 : 27, 5 : 45, 6 : 54. What is 7 : ? (a) 31 (b) 62 (c) 64 (d) 63

Answer key

  1. ₹3100
  2. 60 sq cm
  3. 9
  4. 32 days
  5. 3%
  6. 30
  7. 34
  8. 50
  9. 50 cm
  10. 4
  11. 16.46
  12. 11
  13. 4/3
  14. 13
  15. Sunday
  16. 1
  17. 2 years
  18. 10
  19. 5%
  20. 426
  21. 2/5
  22. 10.34
  23. 8
  24. 156 sq cm
  25. 11
  26. 5 cm
  27. 112 min
  28. 42
  29. ₹600
  30. Wednesday
  31. 9 cm
  32. 20
  33. Monday
  34. 50
  35. 8
  36. Thursday
  37. 11%
  38. 4736
  39. Tuesday
  40. 63

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