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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 803 · 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 6 October is a Monday, what day of the week is 16 October? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
  2. 2.A batter has an average of 40 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 64 (b) 56 (c) 104 (d) 48
  3. 3.What is the remainder when 54 is divided by 4? (a) 1 (b) 2 (c) 0 (d) 3
  4. 4.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 112 cm (b) 22 cm (c) 44 cm (d) 36 cm
  5. 5.Which of these numbers is divisible by 11? (a) 2706 (b) 2697 (c) 2715 (d) 2725
  6. 6.1/3 + 1/2 = ? (a) 2/3 (b) 5/6 (c) 1 (d) 2/5
  7. 7.The simple interest on ₹1500 for 5 years is ₹825. What is the rate per year? (a) 55% (b) 12% (c) 10% (d) 11%
  8. 8.Which is the smallest: 0.65, 0.579, 0.6, 0.017? (a) 0.65 (b) 0.579 (c) 0.6 (d) 0.017
  9. 9.If 14 March is a Monday, what day of the week is 27 March? (a) Sunday (b) Tuesday (c) Monday (d) Saturday
  10. 10.Which fraction is greater: 5/7 or 2/11? (a) They are equal (b) 5/7 (c) 2/11
  11. 11.₹176 is shared between two friends in the ratio 3 : 8. How much is the bigger share? (a) ₹48 (b) ₹16 (c) ₹128 (d) ₹88
  12. 12.Two ribbons are 15 cm and 21 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 1 cm (c) 3 cm (d) 15 cm
  13. 13.Every pair follows the same rule: 4 : 15, 6 : 35, 9 : 80. What is 2 : ? (a) 13 (b) 4 (c) 2 (d) 3
  14. 14.What is the average of 12, 37, 33, 35 and 18? (a) 27 (b) 26 (c) 29 (d) 28
  15. 15.What is the units digit of 8^42? (a) 8 (b) 4 (c) 2 (d) 6
  16. 16.3 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 5 days (b) 7 days (c) 4 days (d) 9 days
  17. 17.The simple interest on ₹8000 for 2 years is ₹800. What is the rate per year? (a) 6% (b) 4% (c) 10% (d) 5%
  18. 18.4 workers can build a wall in 4 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 8 days (c) 6 days (d) 2 days
  19. 19.A bag marked ₹640 is sold at a 25% discount. What is its selling price? (a) ₹800 (b) ₹480 (c) ₹615 (d) ₹160
  20. 20.2.66 + 3.5 = ? (a) 6.26 (b) 6.06 (c) 3.01 (d) 6.16
  21. 21.Which fraction is greater: 2/5 or 3/4? (a) 2/5 (b) They are equal (c) 3/4
  22. 22.A shopkeeper buys a toy for ₹540 and sells it for ₹621. What is his profit percent? (a) 81% (b) 20% (c) 10% (d) 15%
  23. 23.Which of these numbers is divisible by 9? (a) 7445 (b) 7469 (c) 7452 (d) 7454
  24. 24.What is the smallest number of sweets that can be shared equally among 20 children or among 28 children, with none left over? (a) 280 (b) 140 (c) 48 (d) 560
  25. 25.Two bells ring every 16 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 4 min (c) 80 min (d) 320 min
  26. 26.If 4x + 8 = 3x + 16, what is x? (a) 10 (b) 24 (c) 8 (d) 9
  27. 27.3.81 + 4.4 = ? (a) 8.11 (b) 8.21 (c) 4.25 (d) 8.31
  28. 28.The simple interest on ₹5000 for 4 years is ₹2400. What is the rate per year? (a) 12% (b) 48% (c) 11% (d) 13%
  29. 29.What is the simple interest on ₹9000 at 2% per year for 3 years? (a) ₹540 (b) ₹720 (c) ₹180 (d) ₹9540
  30. 30.If 8x + 18 = x + 102, what is x? (a) 11 (b) 12 (c) 14 (d) 13
  31. 31.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
  32. 32.What is the smallest number of sweets that can be shared equally among 16 children or among 28 children, with none left over? (a) 448 (b) 112 (c) 224 (d) 44
  33. 33.A shopkeeper buys a toy for ₹540 and sells it for ₹594. What is his profit percent? (a) 10% (b) 5% (c) 54% (d) 15%
  34. 34.Which is the greatest: 0.89, 0.097, 0.8, 0.717? (a) 0.89 (b) 0.097 (c) 0.8 (d) 0.717
  35. 35.In how many years will ₹4000 earn ₹600 simple interest at 5% per year? (a) 3 years (b) 2 years (c) 6 years (d) 4 years
  36. 36.7.22 + 6.6 = ? (a) 7.88 (b) 13.72 (c) 13.82 (d) 13.92
  37. 37.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 49 sq cm (c) 13 sq cm (d) 42 sq cm
  38. 38.5/6 + 1/4 = ? (a) 13/12 (b) 7/6 (c) 3/5 (d) 1
  39. 39.A bag marked ₹1460 is sold at a 40% discount. What is its selling price? (a) ₹584 (b) ₹2044 (c) ₹876 (d) ₹1420
  40. 40.In how many years will ₹8500 earn ₹1700 simple interest at 5% per year? (a) 3 years (b) 8 years (c) 4 years (d) 5 years

Answer key

  1. Thursday
  2. 104
  3. 2
  4. 44 cm
  5. 2706
  6. 5/6
  7. 11%
  8. 0.017
  9. Sunday
  10. 5/7
  11. ₹128
  12. 3 cm
  13. 3
  14. 27
  15. 4
  16. 9 days
  17. 5%
  18. 8 days
  19. ₹480
  20. 6.16
  21. 3/4
  22. 15%
  23. 7452
  24. 140
  25. 80 min
  26. 8
  27. 8.21
  28. 12%
  29. ₹540
  30. 12
  31. 100 sq cm
  32. 112
  33. 10%
  34. 0.89
  35. 3 years
  36. 13.82
  37. 42 sq cm
  38. 13/12
  39. ₹876
  40. 4 years

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