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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 73 · 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 units digit of 2^30? (a) 6 (b) 8 (c) 4 (d) 2
  2. 2.1/3 + 7/8 = ? (a) 29/24 (b) 7/6 (c) 5/4 (d) 8/11
  3. 3.Today is Friday. What day of the week will it be after 32 days? (a) Tuesday (b) Monday (c) Thursday (d) Wednesday
  4. 4.4.39 + 9.5 = ? (a) 13.89 (b) 13.99 (c) 13.79 (d) 5.34
  5. 5.6 workers can build a wall in 8 days. How many days will 2 workers take, working at the same speed? (a) 4 days (b) 24 days (c) 25 days (d) 12 days
  6. 6.Which is the greatest: 0.484, 0.017, 0.5, 0.59? (a) 0.484 (b) 0.017 (c) 0.5 (d) 0.59
  7. 7.2/3 + 5/9 = ? (a) 7/12 (b) 11/9 (c) 4/3 (d) 10/9
  8. 8.What is the average of all the whole numbers from 25 to 41? (a) 8 (b) 16 (c) 33 (d) 34
  9. 9.Which fraction is greater: 1/5 or 1/7? (a) 1/5 (b) 1/7 (c) They are equal
  10. 10.What is the smallest number you must add to 43 to make it divisible by 4? (a) 2 (b) 1 (c) 3
  11. 11.If 1 May is a Sunday, what day of the week is 15 May? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
  12. 12.What is the value of the digit 2 in 32.956? (a) 20 (b) 0.02 (c) 0.2 (d) 2
  13. 13.What is the smallest number you must add to 113 to make it divisible by 4? (a) 2 (b) 3 (c) 1
  14. 14.What is the smallest number you must add to 859 to make it divisible by 11? (a) 9 (b) 10 (c) 8 (d) 1
  15. 15.Every pair follows the same rule: 4 : 22, 6 : 42, 8 : 70. What is 7 : ? (a) 56 (b) 55 (c) 54 (d) 25
  16. 16.Which fraction is greater: 1/8 or 5/7? (a) 1/8 (b) They are equal (c) 5/7
  17. 17.8.43 + 9.9 = ? (a) 18.33 (b) 18.43 (c) 9.42 (d) 18.23
  18. 18.3/4 + 1/6 = ? (a) 2/5 (b) 11/12 (c) 5/6 (d) 1
  19. 19.A bag marked ₹1640 is sold at a 30% discount. What is its selling price? (a) ₹2132 (b) ₹1610 (c) ₹1148 (d) ₹492
  20. 20.If 20 May is a Friday, what day of the week is 10 June? (a) Saturday (b) Friday (c) Thursday (d) Sunday
  21. 21.If 2x − 9 = 13, what is x? (a) 2 (b) 11 (c) 22 (d) 12
  22. 22.What is 1/6 of 36? (a) 6 (b) 12 (c) 7 (d) 30
  23. 23.If 6x + 14 = 32, what is x? (a) 4 (b) 18 (c) 3 (d) 2
  24. 24.7/9 + 3/4 = ? (a) 10/13 (b) 14/9 (c) 55/36 (d) 3/2
  25. 25.What is 75% of 80? (a) 60 (b) 120 (c) 600 (d) 20
  26. 26.What is the smallest number of sweets that can be shared equally among 12 children or among 20 children, with none left over? (a) 60 (b) 240 (c) 32 (d) 120
  27. 27.What is the average of 71, 88, 84, 93 and 54? (a) 78 (b) 77 (c) 79 (d) 80
  28. 28.If 2 notebooks cost ₹40, how much do 3 notebooks cost? (a) ₹60 (b) ₹80 (c) ₹41 (d) ₹120
  29. 29.If 8x + 19 = 83, what is x? (a) 7 (b) 8 (c) 9 (d) 64
  30. 30.What is the value of the digit 6 in 86.197? (a) 0.6 (b) 6 (c) 0.06 (d) 60
  31. 31.What is the average of all the whole numbers from 36 to 62? (a) 13 (b) 50 (c) 26 (d) 49
  32. 32.What is 5% of 300? (a) 30 (b) 150 (c) 15 (d) 285
  33. 33.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 14 cm
  34. 34.What is the smallest number you must add to 171 to make it divisible by 12? (a) 10 (b) 8 (c) 3 (d) 9
  35. 35.If 14 May is a Wednesday, what day of the week is 26 May? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
  36. 36.₹4000 is invested at 12% per year simple interest. What is the amount after 2 years? (a) ₹960 (b) ₹4960 (c) ₹5440 (d) ₹4480
  37. 37.What is the average of all the whole numbers from 5 to 25? (a) 15 (b) 16 (c) 20 (d) 10
  38. 38.What is the simple interest on ₹6000 at 8% per year for 5 years? (a) ₹8400 (b) ₹2880 (c) ₹2400 (d) ₹480
  39. 39.Which of these numbers is divisible by 6? (a) 1542 (b) 1551 (c) 1544 (d) 1540
  40. 40.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 29 (b) 28 (c) 31 (d) 63

Answer key

  1. 4
  2. 29/24
  3. Tuesday
  4. 13.89
  5. 24 days
  6. 0.59
  7. 11/9
  8. 33
  9. 1/5
  10. 1
  11. Sunday
  12. 2
  13. 3
  14. 10
  15. 55
  16. 5/7
  17. 18.33
  18. 11/12
  19. ₹1148
  20. Friday
  21. 11
  22. 6
  23. 3
  24. 55/36
  25. 60
  26. 60
  27. 78
  28. ₹60
  29. 8
  30. 6
  31. 49
  32. 15
  33. 3 cm
  34. 9
  35. Monday
  36. ₹4960
  37. 15
  38. ₹2400
  39. 1542
  40. 28

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