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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 843 · 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 18 May is a Monday, what day of the week is 17 June? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
  2. 2.What is the units digit of 8^10? (a) 8 (b) 2 (c) 4 (d) 6
  3. 3.Every pair follows the same rule: 6 : 24, 8 : 32, 9 : 36. What is 3 : ? (a) 13 (b) 12 (c) 11 (d) 21
  4. 4.2/7 + 2/4 = ? (a) 11/14 (b) 23/28 (c) 3/4 (d) 4/11
  5. 5.What is the average of all the whole numbers from 17 to 47? (a) 33 (b) 15 (c) 30 (d) 32
  6. 6.What is the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 112 (b) 56 (c) 22 (d) 57
  7. 7.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 60 (b) 15 (c) 51 (d) 48
  8. 8.Today is Monday. What day of the week will it be after 27 days? (a) Sunday (b) Saturday (c) Tuesday (d) Monday
  9. 9.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 81 sq cm (d) 18 sq cm
  10. 10.Which is the smallest: 0.558, 0.095, 0.6, 0.67? (a) 0.558 (b) 0.095 (c) 0.6 (d) 0.67
  11. 11.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 54 sq cm (b) 192 sq cm (c) 27 sq cm (d) 176 sq cm
  12. 12.What is 5% of 320? (a) 304 (b) 160 (c) 32 (d) 16
  13. 13.If 16 July is a Thursday, what day of the week is 10 August? (a) Monday (b) Wednesday (c) Sunday (d) Tuesday
  14. 14.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 136 sq cm (b) 50 sq cm (c) 25 sq cm (d) 153 sq cm
  15. 15.A teacher has 9 pencils and 21 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 12 (c) 1 (d) 9
  16. 16.Two bells ring every 20 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 560 min (b) 4 min (c) 140 min (d) 48 min
  17. 17.Every pair follows the same rule: 3 : 7, 8 : 12, 9 : 13. What is 7 : ? (a) 12 (b) 13 (c) 10 (d) 11
  18. 18.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 20 sq cm (d) 121 sq cm
  19. 19.What is the smallest number you must add to 429 to make it divisible by 6? (a) 4 (b) 2 (c) 3 (d) 5
  20. 20.What is the units digit of 2^48? (a) 4 (b) 8 (c) 6 (d) 2
  21. 21.Every pair follows the same rule: 3 : 9, 4 : 16, 8 : 64. What is 2 : ? (a) 4 (b) 8 (c) 5 (d) 6
  22. 22.Two ribbons are 36 cm and 60 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) 12 cm (c) 36 cm (d) 24 cm
  23. 23.What is the value of the digit 8 in 84.396? (a) 0.08 (b) 8 (c) 80 (d) 0.8
  24. 24.What is the smallest number of sweets that can be shared equally among 4 children or among 14 children, with none left over? (a) 29 (b) 18 (c) 56 (d) 28
  25. 25.Every pair follows the same rule: 2 : 5, 4 : 13, 6 : 21. What is 9 : ? (a) 33 (b) 32 (c) 12 (d) 34
  26. 26.A shopkeeper buys a toy for ₹160 and sells it for ₹200. What is his profit percent? (a) 20% (b) 25% (c) 30% (d) 40%
  27. 27.Which is the greatest: 0.069, 0.6, 0.517, 0.62? (a) 0.069 (b) 0.6 (c) 0.517 (d) 0.62
  28. 28.What is the average of 40, 50, 49 and 57? (a) 51 (b) 50 (c) 48 (d) 49
  29. 29.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 45 (b) 93 (c) 34 (d) 33
  30. 30.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 42 cm (c) 26 cm (d) 20 cm
  31. 31.₹1500 is invested at 8% per year simple interest. What is the amount after 2 years? (a) ₹240 (b) ₹1740 (c) ₹1620 (d) ₹1860
  32. 32.What is 5/6 of 54? (a) 9 (b) 54 (c) 45 (d) 46
  33. 33.If 8 mangoes cost ₹120, how much do 10 mangoes cost? (a) ₹122 (b) ₹1200 (c) ₹165 (d) ₹150
  34. 34.Every pair follows the same rule: 4 : 24, 5 : 33, 9 : 89. What is 8 : ? (a) 75 (b) 28 (c) 72 (d) 48
  35. 35.A shopkeeper buys a toy for ₹940 and sells it for ₹1175. What is his profit percent? (a) 25% (b) 30% (c) 26% (d) 20%
  36. 36.Today is Thursday. What day of the week will it be after 98 days? (a) Saturday (b) Wednesday (c) Thursday (d) Friday
  37. 37.Every pair follows the same rule: 1 : 1, 3 : 27, 6 : 216. What is 4 : ? (a) 4 (b) 64 (c) 90 (d) 65
  38. 38.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 2 days (b) 3 days (c) 4 days (d) 19 days
  39. 39.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 144 sq cm (b) 52 sq cm (c) 26 sq cm (d) 162 sq cm
  40. 40.If 16 March is a Thursday, what day of the week is 10 April? (a) Tuesday (b) Monday (c) Sunday (d) Wednesday

Answer key

  1. Wednesday
  2. 4
  3. 12
  4. 11/14
  5. 32
  6. 56
  7. 60
  8. Sunday
  9. 81 sq cm
  10. 0.095
  11. 176 sq cm
  12. 16
  13. Monday
  14. 136 sq cm
  15. 3
  16. 140 min
  17. 11
  18. 100 sq cm
  19. 3
  20. 6
  21. 4
  22. 12 cm
  23. 80
  24. 28
  25. 33
  26. 25%
  27. 0.62
  28. 49
  29. 33
  30. 26 cm
  31. ₹1740
  32. 45
  33. ₹150
  34. 72
  35. 25%
  36. Thursday
  37. 64
  38. 3 days
  39. 144 sq cm
  40. Monday

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