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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 227 · 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 4x + 21 = 81, what is x? (a) 16 (b) 60 (c) 14 (d) 15
  2. 2.Two ribbons are 10 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) 4 cm (b) 10 cm (c) 2 cm (d) 1 cm
  3. 3.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 11 cm (c) 108 cm (d) 10 cm
  4. 4.What is the remainder when 51 is divided by 4? (a) 2 (b) 0 (c) 3 (d) 1
  5. 5.If 4x + 9 = x + 27, what is x? (a) 8 (b) 12 (c) 6 (d) 7
  6. 6.Today is Friday. What day of the week will it be after 18 days? (a) Tuesday (b) Monday (c) Thursday (d) Wednesday
  7. 7.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 22 sq cm (b) 126 sq cm (c) 112 sq cm (d) 44 sq cm
  8. 8.A teacher has 10 pencils and 14 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 2 (b) 1 (c) 10 (d) 4
  9. 9.The simple interest on ₹6000 for 2 years is ₹840. What is the rate per year? (a) 14% (b) 8% (c) 7% (d) 6%
  10. 10.Which fraction is greater: 4/7 or 1/4? (a) They are equal (b) 1/4 (c) 4/7
  11. 11.What is 2/9 of 45? (a) 35 (b) 5 (c) 10 (d) 15
  12. 12.What is the smallest number of sweets that can be shared equally among 12 children or among 28 children, with none left over? (a) 40 (b) 84 (c) 336 (d) 168
  13. 13.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 162 cm (c) 20 cm (d) 11 cm
  14. 14.What is the simple interest on ₹9000 at 6% per year for 3 years? (a) ₹2160 (b) ₹1620 (c) ₹540 (d) ₹10620
  15. 15.What is the average of 16, 13, 23 and 52? (a) 27 (b) 26 (c) 25 (d) 28
  16. 16.If 8x + 13 = 6x + 27, what is x? (a) 1 (b) 20 (c) 8 (d) 7
  17. 17.What is the units digit of 3^37? (a) 3 (b) 9 (c) 1 (d) 7
  18. 18.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 18 sq cm (d) 27 sq cm
  19. 19.9.67 + 5.6 = ? (a) 15.17 (b) 10.23 (c) 15.37 (d) 15.27
  20. 20.Which is the greatest: 0.5, 0.433, 0.54, 0.043? (a) 0.5 (b) 0.433 (c) 0.54 (d) 0.043
  21. 21.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 14 cm (c) 72 cm (d) 8 cm
  22. 22.Today is Monday. What day of the week will it be after 92 days? (a) Thursday (b) Monday (c) Wednesday (d) Tuesday
  23. 23.A teacher has 44 pencils and 99 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 55 (c) 44 (d) 11
  24. 24.1.72 + 2.1 = ? (a) 3.72 (b) 1.93 (c) 3.82 (d) 3.92
  25. 25.1/2 + 3/7 = ? (a) 1 (b) 6/7 (c) 13/14 (d) 4/9
  26. 26.What is the average of 12, 8, 7 and 53? (a) 21 (b) 22 (c) 20 (d) 19
  27. 27.What is the value of the digit 7 in 52.817? (a) 0.7 (b) 0.007 (c) 0.07 (d) 7
  28. 28.If 7x − 6 = 8, what is x? (a) 2 (b) 1 (c) 3 (d) 14
  29. 29.₹7500 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹9000 (b) ₹1200 (c) ₹8700 (d) ₹7800
  30. 30.What is the average of 83, 86, 82, 74, 69 and 44? (a) 75 (b) 73 (c) 72 (d) 74
  31. 31.If 3x − 3 = 9, what is x? (a) 2 (b) 12 (c) 5 (d) 4
  32. 32.₹2000 is invested at 12% per year simple interest. What is the amount after 4 years? (a) ₹960 (b) ₹3200 (c) ₹2240 (d) ₹2960
  33. 33.7 workers can build a wall in 6 days. How many days will 6 workers take, working at the same speed? (a) 6 days (b) 5 days (c) 8 days (d) 7 days
  34. 34.If 7 October is a Thursday, what day of the week is 21 October? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
  35. 35.What is the smallest number of sweets that can be shared equally among 12 children or among 30 children, with none left over? (a) 120 (b) 360 (c) 42 (d) 60
  36. 36.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 96 min (b) 24 min (c) 4 min (d) 20 min
  37. 37.A bag marked ₹1840 is sold at a 40% discount. What is its selling price? (a) ₹1800 (b) ₹1104 (c) ₹2576 (d) ₹736
  38. 38.If 7x − 4 = 10, what is x? (a) 1 (b) 14 (c) 3 (d) 2
  39. 39.9 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 55 days (b) 19 days (c) 5 days (d) 54 days
  40. 40.A batter has an average of 33 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 89 (b) 56 (c) 41 (d) 49

Answer key

  1. 15
  2. 2 cm
  3. 10 cm
  4. 3
  5. 6
  6. Tuesday
  7. 112 sq cm
  8. 2
  9. 7%
  10. 4/7
  11. 10
  12. 84
  13. 10 cm
  14. ₹1620
  15. 26
  16. 7
  17. 3
  18. 18 sq cm
  19. 15.27
  20. 0.54
  21. 7 cm
  22. Tuesday
  23. 11
  24. 3.82
  25. 13/14
  26. 20
  27. 0.007
  28. 2
  29. ₹8700
  30. 73
  31. 4
  32. ₹2960
  33. 7 days
  34. Thursday
  35. 60
  36. 24 min
  37. ₹1104
  38. 2
  39. 54 days
  40. 89

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