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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 57 · 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.What is the smallest number of sweets that can be shared equally among 25 children or among 30 children, with none left over? (a) 750 (b) 55 (c) 300 (d) 150
  2. 2.What is the average of all the whole numbers from 44 to 62? (a) 54 (b) 9 (c) 18 (d) 53
  3. 3.Every pair follows the same rule: 3 : 18, 7 : 22, 9 : 24. What is 4 : ? (a) 18 (b) 19 (c) 20 (d) 24
  4. 4.Every pair follows the same rule: 3 : 27, 4 : 64, 6 : 216. What is 1 : ? (a) 1 (b) 25 (c) 2 (d) 9
  5. 5.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 40 cm
  6. 6.What is the value of the digit 4 in 95.124? (a) 0.04 (b) 0.004 (c) 4 (d) 0.4
  7. 7.What is the average of 39, 33, 37 and 75? (a) 46 (b) 45 (c) 48 (d) 47
  8. 8.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
  9. 9.A teacher has 14 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 7 (b) 1 (c) 14 (d) 49
  10. 10.What is the simple interest on ₹1500 at 3% per year for 5 years? (a) ₹225 (b) ₹45 (c) ₹270 (d) ₹1725
  11. 11.If 5x − 54 = 16, what is x? (a) 15 (b) 70 (c) 13 (d) 14
  12. 12.Every pair follows the same rule: 3 : 18, 4 : 22, 8 : 38. What is 2 : ? (a) 14 (b) 17 (c) 15 (d) 12
  13. 13.If 23 April is a Wednesday, what day of the week is 9 May? (a) Sunday (b) Thursday (c) Saturday (d) Friday
  14. 14.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 42 cm (d) 76 cm
  15. 15.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 216 sq cm (d) 234 sq cm
  16. 16.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 27 (b) 26 (c) 28 (d) 15
  17. 17.₹7500 is invested at 7% per year simple interest. What is the amount after 5 years? (a) ₹2625 (b) ₹10125 (c) ₹8025 (d) ₹10650
  18. 18.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 21 cm (c) 12 cm (d) 24 cm
  19. 19.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 154 sq cm (b) 140 sq cm (c) 24 sq cm (d) 48 sq cm
  20. 20.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 140 sq cm (c) 52 sq cm (d) 120 sq cm
  21. 21.If 21 July is a Monday, what day of the week is 12 August? (a) Thursday (b) Tuesday (c) Wednesday (d) Monday
  22. 22.If 9x + 10 = 7x + 32, what is x? (a) 11 (b) 21 (c) 13 (d) 12
  23. 23.What is the remainder when 193 is divided by 9? (a) 3 (b) 5 (c) 4 (d) 6
  24. 24.Two ribbons are 12 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 36 cm (c) 12 cm (d) 6 cm
  25. 25.What is the average of 27, 31, 45, 41 and 56? (a) 50 (b) 41 (c) 39 (d) 40
  26. 26.9 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 9 days (b) 21 days (c) 45 days (d) 5 days
  27. 27.If x/2 + 12 = 17, what is x? (a) 5 (b) 58 (c) 10 (d) 22
  28. 28.Every pair follows the same rule: 3 : 11, 5 : 27, 9 : 83. What is 2 : ? (a) 5 (b) 6 (c) 7 (d) 10
  29. 29.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 16 (b) 60 (c) 30 (d) 31
  30. 30.In how many years will ₹9500 earn ₹2850 simple interest at 6% per year? (a) 10 years (b) 4 years (c) 6 years (d) 5 years
  31. 31.6 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 22 days (b) 21 days (c) 11 days (d) 3 days
  32. 32.What is the value of the digit 4 in 93.284? (a) 0.4 (b) 0.04 (c) 4 (d) 0.004
  33. 33.If 9x + 15 = 7x + 31, what is x? (a) 1 (b) 8 (c) 9 (d) 23
  34. 34.What is the smallest number of sweets that can be shared equally among 9 children or among 15 children, with none left over? (a) 135 (b) 90 (c) 24 (d) 45
  35. 35.What is 1/2 of 16? (a) 7 (b) 16 (c) 8 (d) 9
  36. 36.A shopkeeper buys a toy for ₹320 and sells it for ₹240. What is his loss percent? (a) 20% (b) 30% (c) 80% (d) 25%
  37. 37.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 36 min (c) 108 min (d) 21 min
  38. 38.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 40 min (b) 2 min (c) 14 min (d) 20 min
  39. 39.A teacher has 10 pencils and 15 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 10 (c) 5 (d) 30
  40. 40.Which fraction is greater: 5/8 or 6/7? (a) 5/8 (b) They are equal (c) 6/7

Answer key

  1. 150
  2. 53
  3. 19
  4. 1
  5. 5 cm
  6. 0.004
  7. 46
  8. 25 sq cm
  9. 7
  10. ₹225
  11. 14
  12. 14
  13. Friday
  14. 46 cm
  15. 216 sq cm
  16. 27
  17. ₹10125
  18. 24 cm
  19. 140 sq cm
  20. 120 sq cm
  21. Tuesday
  22. 11
  23. 4
  24. 6 cm
  25. 40
  26. 45 days
  27. 10
  28. 6
  29. 30
  30. 5 years
  31. 21 days
  32. 0.004
  33. 8
  34. 45
  35. 8
  36. 25%
  37. 36 min
  38. 20 min
  39. 5
  40. 6/7

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