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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 158 · 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 square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
  2. 2.If 31 May is a Saturday, what day of the week is 4 June? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
  3. 3.The simple interest on ₹5000 for 4 years is ₹1000. What is the rate per year? (a) 6% (b) 20% (c) 4% (d) 5%
  4. 4.Two ribbons are 6 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) 15 cm (b) 6 cm (c) 3 cm (d) 1 cm
  5. 5.If 7x + 10 = 52, what is x? (a) 5 (b) 7 (c) 42 (d) 6
  6. 6.What is 1/3 of 27? (a) 18 (b) 10 (c) 8 (d) 9
  7. 7.3.54 + 6.1 = ? (a) 9.74 (b) 4.15 (c) 9.54 (d) 9.64
  8. 8.What is the average of 20, 14, 13 and 65? (a) 27 (b) 30 (c) 29 (d) 28
  9. 9.What is the average of 39, 21, 25, 26 and 54? (a) 34 (b) 32 (c) 33 (d) 35
  10. 10.If 8 pens cost ₹56, how much do 11 pens cost? (a) ₹77 (b) ₹616 (c) ₹59 (d) ₹84
  11. 11.What is the smallest number of sweets that can be shared equally among 20 children or among 25 children, with none left over? (a) 45 (b) 200 (c) 100 (d) 500
  12. 12.Every pair follows the same rule: 4 : 10, 7 : 13, 9 : 15. What is 5 : ? (a) 12 (b) 11 (c) 10 (d) 13
  13. 13.What is 3/7 of 77? (a) 11 (b) 33 (c) 44 (d) 34
  14. 14.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 135 min (c) 24 min (d) 45 min
  15. 15.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 120 sq cm (d) 105 sq cm
  16. 16.A teacher has 44 pencils and 55 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 44 (c) 11 (d) 220
  17. 17.In how many years will ₹1000 earn ₹200 simple interest at 10% per year? (a) 3 years (b) 4 years (c) 1 year (d) 2 years
  18. 18.If 6x − 47 = 1, what is x? (a) 7 (b) 48 (c) 9 (d) 8
  19. 19.If 14 June is a Wednesday, what day of the week is 6 July? (a) Thursday (b) Wednesday (c) Friday (d) Saturday
  20. 20.If 2x + 23 = 51, what is x? (a) 15 (b) 28 (c) 37 (d) 14
  21. 21.Which is the greatest: 0.519, 0.031, 0.6, 0.69? (a) 0.519 (b) 0.031 (c) 0.6 (d) 0.69
  22. 22.Every pair follows the same rule: 2 : 8, 3 : 27, 4 : 64. What is 1 : ? (a) 4 (b) 7 (c) 2 (d) 1
  23. 23.If 1 March is a Friday, what day of the week is 14 March? (a) Thursday (b) Saturday (c) Wednesday (d) Friday
  24. 24.Every pair follows the same rule: 4 : 15, 8 : 19, 9 : 20. What is 2 : ? (a) 14 (b) 13 (c) 15 (d) 12
  25. 25.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 25 cm (c) 63 cm (d) 32 cm
  26. 26.What is the simple interest on ₹2000 at 3% per year for 4 years? (a) ₹60 (b) ₹300 (c) ₹240 (d) ₹2240
  27. 27.If 4x − 9 = 19, what is x? (a) 6 (b) 7 (c) 28 (d) 8
  28. 28.A shopkeeper buys a toy for ₹640 and sells it for ₹832. What is his profit percent? (a) 25% (b) 30% (c) 35% (d) 31%
  29. 29.If 14 May is a Friday, what day of the week is 19 June? (a) Sunday (b) Monday (c) Saturday (d) Friday
  30. 30.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 79 (b) 36 (c) 49 (d) 55
  31. 31.Which is the greatest: 0.88, 0.088, 0.8, 0.742? (a) 0.88 (b) 0.088 (c) 0.8 (d) 0.742
  32. 32.A shopkeeper buys a toy for ₹640 and sells it for ₹544. What is his loss percent? (a) 96% (b) 15% (c) 20% (d) 10%
  33. 33.9.15 + 4.7 = ? (a) 9.62 (b) 13.95 (c) 13.85 (d) 13.75
  34. 34.What is the average of all the whole numbers from 11 to 25? (a) 14 (b) 18 (c) 7 (d) 19
  35. 35.In how many years will ₹4500 earn ₹360 simple interest at 2% per year? (a) 4 years (b) 8 years (c) 3 years (d) 5 years
  36. 36.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 20 sq cm (d) 30 sq cm
  37. 37.What is the remainder when 410 is divided by 7? (a) 4 (b) 5 (c) 6 (d) 3
  38. 38.₹266 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹38 (b) ₹76 (c) ₹133 (d) ₹190
  39. 39.What is the smallest number you must add to 401 to make it divisible by 5? (a) 3 (b) 1 (c) 2 (d) 4
  40. 40.Two ribbons are 15 cm and 25 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 15 cm (b) 1 cm (c) 5 cm (d) 10 cm

Answer key

  1. 25 sq cm
  2. Wednesday
  3. 5%
  4. 3 cm
  5. 6
  6. 9
  7. 9.64
  8. 28
  9. 33
  10. ₹77
  11. 100
  12. 11
  13. 33
  14. 45 min
  15. 105 sq cm
  16. 11
  17. 2 years
  18. 8
  19. Thursday
  20. 14
  21. 0.69
  22. 1
  23. Thursday
  24. 13
  25. 32 cm
  26. ₹240
  27. 7
  28. 30%
  29. Saturday
  30. 79
  31. 0.88
  32. 15%
  33. 13.85
  34. 18
  35. 4 years
  36. 20 sq cm
  37. 4
  38. ₹190
  39. 4
  40. 5 cm

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