← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 855 · 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 average of all the whole numbers from 58 to 88? (a) 15 (b) 73 (c) 30 (d) 74
  2. 2.If 3x + 16 = 58, what is x? (a) 13 (b) 14 (c) 42 (d) 15
  3. 3.What is the value of the digit 9 in 71.349? (a) 0.009 (b) 0.9 (c) 9 (d) 0.09
  4. 4.1/4 + 2/8 = ? (a) 3/8 (b) 5/8 (c) 1/2 (d) 1/4
  5. 5.If 3x + 16 = 2x + 23, what is x? (a) 8 (b) 7 (c) 39 (d) 9
  6. 6.If 16 May is a Wednesday, what day of the week is 3 June? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
  7. 7.What is the remainder when 531 is divided by 7? (a) 1 (b) 5 (c) 6 (d) 4
  8. 8.What is the simple interest on ₹4500 at 3% per year for 5 years? (a) ₹5175 (b) ₹810 (c) ₹135 (d) ₹675
  9. 9.Which fraction is greater: 5/6 or 6/11? (a) They are equal (b) 6/11 (c) 5/6
  10. 10.If 20 September is a Thursday, what day of the week is 8 October? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
  11. 11.Which fraction is greater: 1/11 or 1/5? (a) They are equal (b) 1/5 (c) 1/11
  12. 12.1/5 + 5/6 = ? (a) 1 (b) 6/11 (c) 16/15 (d) 31/30
  13. 13.If x/4 + 5 = 14, what is x? (a) 76 (b) 9 (c) 51 (d) 36
  14. 14.3/5 + 1/3 = ? (a) 14/15 (b) 1 (c) 13/15 (d) 1/2
  15. 15.₹147 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹21 (b) ₹147 (c) ₹127 (d) ₹126
  16. 16.What is 1/4 of 8? (a) 6 (b) 4 (c) 2 (d) 3
  17. 17.3 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 19 days (d) 2 days
  18. 18.9.09 + 1.1 = ? (a) 9.2 (b) 10.19 (c) 10.09 (d) 10.29
  19. 19.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 54 cm (b) 47 cm (c) 140 cm (d) 27 cm
  20. 20.7 workers can build a wall in 4 days. How many days will 4 workers take, working at the same speed? (a) 8 days (b) 6 days (c) 7 days (d) 1 day
  21. 21.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 55 (c) 34 (d) 35
  22. 22.In how many years will ₹9500 earn ₹5700 simple interest at 12% per year? (a) 4 years (b) 5 years (c) 6 years (d) 10 years
  23. 23.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
  24. 24.6.67 + 7.2 = ? (a) 13.77 (b) 13.87 (c) 13.97 (d) 7.39
  25. 25.Every pair follows the same rule: 3 : 13, 4 : 20, 5 : 29. What is 6 : ? (a) 38 (b) 41 (c) 16 (d) 40
  26. 26.Today is Friday. What day of the week will it be after 86 days? (a) Sunday (b) Monday (c) Tuesday (d) Saturday
  27. 27.1/2 + 5/6 = ? (a) 3/4 (b) 3/2 (c) 4/3 (d) 7/6
  28. 28.Which is the smallest: 0.82, 0.049, 0.8, 0.744? (a) 0.82 (b) 0.049 (c) 0.8 (d) 0.744
  29. 29.What is the average of all the whole numbers from 14 to 28? (a) 7 (b) 21 (c) 22 (d) 14
  30. 30.Which is the smallest: 0.445, 0.089, 0.52, 0.5? (a) 0.445 (b) 0.089 (c) 0.52 (d) 0.5
  31. 31.What is 20% of 560? (a) 112 (b) 1120 (c) 224 (d) 448
  32. 32.What is the average of 50, 33, 53, 27, 35 and 30? (a) 39 (b) 40 (c) 37 (d) 38
  33. 33.If x/2 + 14 = 20, what is x? (a) 68 (b) 12 (c) 6 (d) 26
  34. 34.If 23 November is a Friday, what day of the week is 4 December? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
  35. 35.What is the value of the digit 3 in 79.183? (a) 0.03 (b) 0.3 (c) 0.003 (d) 3
  36. 36.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 45 (b) 21 (c) 13 (d) 12
  37. 37.If 3x + 15 = 2x + 20, what is x? (a) 6 (b) 1 (c) 5 (d) 35
  38. 38.What is the value of the digit 8 in 71.846? (a) 0.08 (b) 0.008 (c) 8 (d) 0.8
  39. 39.Every pair follows the same rule: 5 : 25, 6 : 30, 7 : 35. What is 2 : ? (a) 9 (b) 10 (c) 11 (d) 22
  40. 40.2.58 + 1.6 = ? (a) 4.08 (b) 2.74 (c) 4.18 (d) 4.28

Answer key

  1. 73
  2. 14
  3. 0.009
  4. 1/2
  5. 7
  6. Sunday
  7. 6
  8. ₹675
  9. 5/6
  10. Monday
  11. 1/5
  12. 31/30
  13. 36
  14. 14/15
  15. ₹126
  16. 2
  17. 3 days
  18. 10.19
  19. 54 cm
  20. 7 days
  21. 55
  22. 5 years
  23. 81 sq cm
  24. 13.87
  25. 40
  26. Sunday
  27. 4/3
  28. 0.049
  29. 21
  30. 0.089
  31. 112
  32. 38
  33. 12
  34. Tuesday
  35. 0.003
  36. 12
  37. 5
  38. 0.8
  39. 10
  40. 4.18

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad