← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 461 · 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 40, 39, 23, 41 and 7? (a) 31 (b) 30 (c) 29 (d) 32
  2. 2.Today is Friday. What day of the week will it be after 18 days? (a) Tuesday (b) Thursday (c) Wednesday (d) Monday
  3. 3.If 2 January is a Sunday, what day of the week is 18 January? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
  4. 4.Every pair follows the same rule: 2 : 15, 6 : 19, 9 : 22. What is 5 : ? (a) 19 (b) 17 (c) 18 (d) 20
  5. 5.What is the smallest number you must add to 84 to make it divisible by 8? (a) 3 (b) 4 (c) 5 (d) 6
  6. 6.What is the units digit of 2^11? (a) 8 (b) 6 (c) 2 (d) 4
  7. 7.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 50 cm (b) 43 cm (c) 126 cm (d) 25 cm
  8. 8.Which is the greatest: 0.626, 0.72, 0.7, 0.064? (a) 0.626 (b) 0.72 (c) 0.7 (d) 0.064
  9. 9.What is the units digit of 7^34? (a) 3 (b) 1 (c) 7 (d) 9
  10. 10.What is the simple interest on ₹7500 at 4% per year for 2 years? (a) ₹600 (b) ₹8100 (c) ₹900 (d) ₹300
  11. 11.3.45 + 6.7 = ? (a) 10.05 (b) 10.25 (c) 4.12 (d) 10.15
  12. 12.4 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 12 days (b) 4 days (c) 3 days (d) 8 days
  13. 13.Which of these numbers is divisible by 8? (a) 2936 (b) 2943 (c) 2930 (d) 2946
  14. 14.If 9 notebooks cost ₹171, how much do 3 notebooks cost? (a) ₹513 (b) ₹165 (c) ₹57 (d) ₹76
  15. 15.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 42 cm (b) 31 cm (c) 17 cm (d) 34 cm
  16. 16.What is the average of all the whole numbers from 37 to 69? (a) 16 (b) 54 (c) 53 (d) 32
  17. 17.If 9 July is a Thursday, what day of the week is 22 July? (a) Wednesday (b) Friday (c) Tuesday (d) Thursday
  18. 18.If 13 October is a Sunday, what day of the week is 28 October? (a) Sunday (b) Monday (c) Wednesday (d) Tuesday
  19. 19.₹24 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹12 (b) ₹18 (c) ₹6 (d) ₹24
  20. 20.What is the smallest number you must add to 633 to make it divisible by 12? (a) 3 (b) 4 (c) 2 (d) 9
  21. 21.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 48 (b) 98 (c) 37 (d) 36
  22. 22.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 43 cm (b) 46 cm (c) 23 cm (d) 60 cm
  23. 23.What is the remainder when 178 is divided by 4? (a) 0 (b) 2 (c) 1 (d) 3
  24. 24.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 5 cm (c) 28 cm (d) 10 cm
  25. 25.₹6500 is invested at 5% per year simple interest. What is the amount after 4 years? (a) ₹1300 (b) ₹6825 (c) ₹7800 (d) ₹8125
  26. 26.₹3500 is invested at 9% per year simple interest. What is the amount after 5 years? (a) ₹3815 (b) ₹5075 (c) ₹5390 (d) ₹1575
  27. 27.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
  28. 28.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 69 (b) 20 (c) 52 (d) 37
  29. 29.1/2 + 3/4 = ? (a) 1 (b) 2/3 (c) 5/4 (d) 3/2
  30. 30.The simple interest on ₹4000 for 3 years is ₹1080. What is the rate per year? (a) 27% (b) 8% (c) 10% (d) 9%
  31. 31.The simple interest on ₹9000 for 3 years is ₹1890. What is the rate per year? (a) 6% (b) 8% (c) 7% (d) 21%
  32. 32.5.71 + 4.6 = ? (a) 10.31 (b) 10.41 (c) 10.21 (d) 6.17
  33. 33.What is 3/4 of 16? (a) 12 (b) 16 (c) 4 (d) 13
  34. 34.If 5 notebooks cost ₹40, how much do 11 notebooks cost? (a) ₹96 (b) ₹46 (c) ₹88 (d) ₹440
  35. 35.In how many years will ₹1500 earn ₹180 simple interest at 6% per year? (a) 1 year (b) 2 years (c) 4 years (d) 3 years
  36. 36.What is the average of 60, 63, 62, 81 and 94? (a) 73 (b) 72 (c) 71 (d) 90
  37. 37.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 196 sq cm (d) 52 sq cm
  38. 38.9.83 + 6.7 = ? (a) 16.43 (b) 10.5 (c) 16.53 (d) 16.63
  39. 39.If 3 pens cost ₹24, how much do 10 pens cost? (a) ₹240 (b) ₹31 (c) ₹80 (d) ₹88
  40. 40.₹506 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹46 (b) ₹253 (c) ₹230 (d) ₹276

Answer key

  1. 30
  2. Tuesday
  3. Tuesday
  4. 18
  5. 4
  6. 8
  7. 50 cm
  8. 0.72
  9. 9
  10. ₹600
  11. 10.15
  12. 12 days
  13. 2936
  14. ₹57
  15. 34 cm
  16. 53
  17. Wednesday
  18. Monday
  19. ₹18
  20. 3
  21. 36
  22. 46 cm
  23. 2
  24. 5 cm
  25. ₹7800
  26. ₹5075
  27. 225 sq cm
  28. 52
  29. 5/4
  30. 9%
  31. 7%
  32. 10.31
  33. 12
  34. ₹88
  35. 2 years
  36. 72
  37. 169 sq cm
  38. 16.53
  39. ₹80
  40. ₹276

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