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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 261 · 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 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm
  2. 2.Today is Wednesday. What day of the week will it be after 33 days? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
  3. 3.Which is the smallest: 0.6, 0.049, 0.67, 0.593? (a) 0.6 (b) 0.049 (c) 0.67 (d) 0.593
  4. 4.Which is the greatest: 0.059, 0.6, 0.515, 0.67? (a) 0.059 (b) 0.6 (c) 0.515 (d) 0.67
  5. 5.8 workers can build a wall in 5 days. How many days will 2 workers take, working at the same speed? (a) 20 days (b) 11 days (c) 19 days (d) 21 days
  6. 6.What is 25% of 60? (a) 150 (b) 30 (c) 15 (d) 45
  7. 7.Which of these numbers is divisible by 6? (a) 1226 (b) 1230 (c) 1239 (d) 1234
  8. 8.What is the remainder when 113 is divided by 6? (a) 5 (b) 4 (c) 1 (d) 3
  9. 9.A batter has an average of 56 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 60 (b) 68 (c) 116 (d) 62
  10. 10.5.51 + 9.4 = ? (a) 14.81 (b) 14.91 (c) 15.01 (d) 6.45
  11. 11.In how many years will ₹1000 earn ₹60 simple interest at 2% per year? (a) 4 years (b) 2 years (c) 3 years (d) 6 years
  12. 12.Every pair follows the same rule: 3 : 13, 5 : 21, 9 : 37. What is 4 : ? (a) 14 (b) 17 (c) 18 (d) 16
  13. 13.What is the average of all the whole numbers from 16 to 38? (a) 28 (b) 11 (c) 22 (d) 27
  14. 14.What is the average of 59, 50, 49, 48 and 19? (a) 45 (b) 44 (c) 46 (d) 47
  15. 15.If 2 January is a Monday, what day of the week is 13 January? (a) Thursday (b) Sunday (c) Friday (d) Saturday
  16. 16.The simple interest on ₹4000 for 3 years is ₹960. What is the rate per year? (a) 24% (b) 9% (c) 8% (d) 7%
  17. 17.What is the value of the digit 1 in 92.618? (a) 0.1 (b) 1 (c) 0.001 (d) 0.01
  18. 18.Today is Tuesday. What day of the week will it be after 36 days? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
  19. 19.What is the value of the digit 7 in 67.214? (a) 7 (b) 0.07 (c) 70 (d) 0.7
  20. 20.What is the value of the digit 5 in 89.513? (a) 0.05 (b) 0.5 (c) 5 (d) 0.005
  21. 21.Which fraction is greater: 2/3 or 11/12? (a) They are equal (b) 2/3 (c) 11/12
  22. 22.9.69 + 8.6 = ? (a) 18.39 (b) 18.29 (c) 10.55 (d) 18.19
  23. 23.Which fraction is greater: 5/11 or 4/5? (a) 4/5 (b) 5/11 (c) They are equal
  24. 24.4/8 + 1/2 = ? (a) 9/8 (b) 7/8 (c) 1/2 (d) 1
  25. 25.If 3x + 19 = x + 31, what is x? (a) 25 (b) 3 (c) 7 (d) 6
  26. 26.Which of these numbers is divisible by 8? (a) 2081 (b) 2072 (c) 2067 (d) 2079
  27. 27.Two ribbons are 72 cm and 81 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 9 cm (b) 72 cm (c) 3 cm (d) 648 cm
  28. 28.Which of these numbers is divisible by 9? (a) 380 (b) 373 (c) 391 (d) 378
  29. 29.If x/2 + 15 = 19, what is x? (a) 8 (b) 68 (c) 23 (d) 4
  30. 30.What is the average of all the whole numbers from 35 to 43? (a) 4 (b) 8 (c) 39 (d) 40
  31. 31.What is 1/2 of 20? (a) 9 (b) 10 (c) 11 (d) 20
  32. 32.What is the average of all the whole numbers from 59 to 83? (a) 24 (b) 12 (c) 72 (d) 71
  33. 33.If 7 March is a Tuesday, what day of the week is 21 March? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
  34. 34.If 5 mangoes cost ₹75, how much do 6 mangoes cost? (a) ₹450 (b) ₹76 (c) ₹105 (d) ₹90
  35. 35.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 96 cm (c) 10 cm (d) 9 cm
  36. 36.What is the smallest number you must add to 655 to make it divisible by 9? (a) 7 (b) 2 (c) 3 (d) 1
  37. 37.Every pair follows the same rule: 3 : 9, 4 : 16, 9 : 81. What is 8 : ? (a) 64 (b) 24 (c) 14 (d) 68
  38. 38.If 7 mangoes cost ₹175, how much do 5 mangoes cost? (a) ₹875 (b) ₹173 (c) ₹150 (d) ₹125
  39. 39.What is the units digit of 9^30? (a) 2 (b) 1 (c) 9 (d) 0
  40. 40.What is the smallest number of sweets that can be shared equally among 10 children or among 35 children, with none left over? (a) 45 (b) 70 (c) 350 (d) 140

Answer key

  1. 64 sq cm
  2. Monday
  3. 0.049
  4. 0.67
  5. 20 days
  6. 15
  7. 1230
  8. 5
  9. 116
  10. 14.91
  11. 3 years
  12. 17
  13. 27
  14. 45
  15. Friday
  16. 8%
  17. 0.01
  18. Wednesday
  19. 7
  20. 0.5
  21. 11/12
  22. 18.29
  23. 4/5
  24. 1
  25. 6
  26. 2072
  27. 9 cm
  28. 378
  29. 8
  30. 39
  31. 10
  32. 71
  33. Tuesday
  34. ₹90
  35. 9 cm
  36. 2
  37. 64
  38. ₹125
  39. 1
  40. 70

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