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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 857 · 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.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 24 (b) 40 (c) 42 (d) 22
  2. 2.What is the simple interest on ₹6500 at 10% per year for 2 years? (a) ₹1950 (b) ₹7800 (c) ₹650 (d) ₹1300
  3. 3.If x/6 + 4 = 6, what is x? (a) 60 (b) 2 (c) 32 (d) 12
  4. 4.What is the units digit of 8^17? (a) 8 (b) 6 (c) 4 (d) 2
  5. 5.What is the average of 8, 28, 26, 7 and 41? (a) 24 (b) 22 (c) 21 (d) 23
  6. 6.What is the simple interest on ₹6500 at 7% per year for 4 years? (a) ₹1820 (b) ₹2275 (c) ₹455 (d) ₹8320
  7. 7.3/7 + 2/3 = ? (a) 1/2 (b) 22/21 (c) 8/7 (d) 23/21
  8. 8.Every pair follows the same rule: 3 : 10, 7 : 26, 8 : 30. What is 2 : ? (a) 5 (b) 7 (c) 6 (d) 9
  9. 9.A teacher has 24 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 24 (b) 2 (c) 168 (d) 4
  10. 10.Every pair follows the same rule: 2 : 4, 8 : 64, 9 : 81. What is 3 : ? (a) 6 (b) 10 (c) 5 (d) 9
  11. 11.Which of these numbers is divisible by 3? (a) 710 (b) 707 (c) 712 (d) 708
  12. 12.Every pair follows the same rule: 2 : 18, 3 : 19, 9 : 25. What is 8 : ? (a) 72 (b) 24 (c) 25 (d) 23
  13. 13.Which is the greatest: 0.031, 0.89, 0.8, 0.785? (a) 0.031 (b) 0.89 (c) 0.8 (d) 0.785
  14. 14.If 3x − 15 = 21, what is x? (a) 2 (b) 13 (c) 12 (d) 36
  15. 15.What is 75% of 780? (a) 5850 (b) 1170 (c) 195 (d) 585
  16. 16.5/6 + 1/2 = ? (a) 7/6 (b) 4/3 (c) 3/4 (d) 3/2
  17. 17.Every pair follows the same rule: 5 : 32, 6 : 43, 7 : 56. What is 4 : ? (a) 24 (b) 17 (c) 23 (d) 31
  18. 18.Every pair follows the same rule: 2 : 12, 3 : 18, 6 : 36. What is 8 : ? (a) 47 (b) 18 (c) 49 (d) 48
  19. 19.If 5 mangoes cost ₹50, how much do 7 mangoes cost? (a) ₹52 (b) ₹80 (c) ₹350 (d) ₹70
  20. 20.If 6 notebooks cost ₹24, how much do 10 notebooks cost? (a) ₹40 (b) ₹44 (c) ₹240 (d) ₹28
  21. 21.What is the smallest number of sweets that can be shared equally among 9 children or among 15 children, with none left over? (a) 45 (b) 24 (c) 90 (d) 135
  22. 22.What is the smallest number you must add to 495 to make it divisible by 8? (a) 7 (b) 2 (c) 1 (d) 3
  23. 23.What is 6/7 of 28? (a) 25 (b) 28 (c) 4 (d) 24
  24. 24.If 1 August is a Tuesday, what day of the week is 9 August? (a) Wednesday (b) Thursday (c) Tuesday (d) Friday
  25. 25.If 4 mangoes cost ₹68, how much do 3 mangoes cost? (a) ₹68 (b) ₹67 (c) ₹204 (d) ₹51
  26. 26.What is the average of all the whole numbers from 9 to 41? (a) 16 (b) 26 (c) 25 (d) 32
  27. 27.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) 15 cm (c) 1 cm (d) 3 cm
  28. 28.If 6x + 17 = 3x + 47, what is x? (a) 11 (b) 10 (c) 12 (d) 9
  29. 29.If 5x + 16 = 3x + 22, what is x? (a) 5 (b) 4 (c) 3 (d) 19
  30. 30.Every pair follows the same rule: 3 : 10, 4 : 14, 7 : 26. What is 8 : ? (a) 31 (b) 30 (c) 29 (d) 15
  31. 31.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 49 sq cm (d) 24 sq cm
  32. 32.Which fraction is greater: 7/8 or 1/3? (a) 1/3 (b) 7/8 (c) They are equal
  33. 33.What is the average of all the whole numbers from 32 to 72? (a) 52 (b) 53 (c) 20 (d) 40
  34. 34.If 11 January is a Wednesday, what day of the week is 7 February? (a) Thursday (b) Tuesday (c) Wednesday (d) Monday
  35. 35.Which is the greatest: 0.28, 0.069, 0.123, 0.2? (a) 0.28 (b) 0.069 (c) 0.123 (d) 0.2
  36. 36.What is the smallest number you must add to 125 to make it divisible by 7? (a) 2 (b) 3 (c) 1 (d) 6
  37. 37.A batter has an average of 42 runs in 8 matches. How many runs are needed in the next match to raise the average to 45? (a) 69 (b) 45 (c) 48 (d) 27
  38. 38.Today is Sunday. What day of the week will it be after 26 days? (a) Thursday (b) Sunday (c) Saturday (d) Friday
  39. 39.What is the simple interest on ₹9000 at 5% per year for 5 years? (a) ₹2700 (b) ₹450 (c) ₹11250 (d) ₹2250
  40. 40.8 workers can build a wall in 7 days. How many days will 4 workers take, working at the same speed? (a) 15 days (b) 14 days (c) 11 days (d) 3 days

Answer key

  1. 42
  2. ₹1300
  3. 12
  4. 8
  5. 22
  6. ₹1820
  7. 23/21
  8. 6
  9. 4
  10. 9
  11. 708
  12. 24
  13. 0.89
  14. 12
  15. 585
  16. 4/3
  17. 23
  18. 48
  19. ₹70
  20. ₹40
  21. 45
  22. 1
  23. 24
  24. Wednesday
  25. ₹51
  26. 25
  27. 3 cm
  28. 10
  29. 3
  30. 30
  31. 36 sq cm
  32. 7/8
  33. 52
  34. Tuesday
  35. 0.28
  36. 1
  37. 69
  38. Friday
  39. ₹2250
  40. 14 days

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