← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 960 · 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.Which fraction is greater: 4/5 or 1/10? (a) 1/10 (b) 4/5 (c) They are equal
  2. 2.6 workers can build a wall in 6 days. How many days will 9 workers take, working at the same speed? (a) 3 days (b) 5 days (c) 4 days (d) 9 days
  3. 3.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 25? (a) 57 (b) 29 (c) 25 (d) 36
  4. 4.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 48 min (b) 14 min (c) 24 min (d) 2 min
  5. 5.What is 1/3 of 9? (a) 4 (b) 6 (c) 3 (d) 2
  6. 6.The simple interest on ₹8000 for 2 years is ₹800. What is the rate per year? (a) 6% (b) 5% (c) 4% (d) 10%
  7. 7.A batter has an average of 26 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 98 (c) 42 (d) 72
  8. 8.₹370 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹111 (b) ₹37 (c) ₹185 (d) ₹259
  9. 9.If 7 January is a Saturday, what day of the week is 23 January? (a) Wednesday (b) Sunday (c) Monday (d) Tuesday
  10. 10.If 5x + 18 = 2x + 39, what is x? (a) 19 (b) 3 (c) 8 (d) 7
  11. 11.Which fraction is greater: 2/9 or 1/5? (a) 1/5 (b) They are equal (c) 2/9
  12. 12.₹10000 is invested at 3% per year simple interest. What is the amount after 4 years? (a) ₹11200 (b) ₹10300 (c) ₹11500 (d) ₹1200
  13. 13.Which is the greatest: 0.055, 0.68, 0.578, 0.6? (a) 0.055 (b) 0.68 (c) 0.578 (d) 0.6
  14. 14.If 7 December is a Monday, what day of the week is 15 December? (a) Tuesday (b) Wednesday (c) Thursday (d) Monday
  15. 15.What is 1/2 of 12? (a) 7 (b) 12 (c) 5 (d) 6
  16. 16.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 41 cm (b) 26 cm (c) 52 cm (d) 165 cm
  17. 17.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 27 cm
  18. 18.The simple interest on ₹1000 for 5 years is ₹100. What is the rate per year? (a) 2% (b) 1% (c) 10% (d) 3%
  19. 19.8 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 16 days (b) 13 days (c) 7 days (d) 17 days
  20. 20.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 25 sq cm (b) 168 sq cm (c) 50 sq cm (d) 154 sq cm
  21. 21.A bag marked ₹1960 is sold at a 10% discount. What is its selling price? (a) ₹2156 (b) ₹1950 (c) ₹196 (d) ₹1764
  22. 22.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 29 cm (b) 198 cm (c) 47 cm (d) 58 cm
  23. 23.What is the smallest number of sweets that can be shared equally among 15 children or among 20 children, with none left over? (a) 300 (b) 35 (c) 60 (d) 120
  24. 24.₹468 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹144 (b) ₹36 (c) ₹324 (d) ₹234
  25. 25.5/6 + 1/3 = ? (a) 2/3 (b) 1 (c) 4/3 (d) 7/6
  26. 26.The simple interest on ₹3500 for 3 years is ₹525. What is the rate per year? (a) 15% (b) 4% (c) 6% (d) 5%
  27. 27.Today is Friday. What day of the week will it be after 31 days? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
  28. 28.Every pair follows the same rule: 2 : 7, 3 : 12, 7 : 52. What is 6 : ? (a) 40 (b) 39 (c) 11 (d) 42
  29. 29.What is the average of all the whole numbers from 22 to 50? (a) 36 (b) 28 (c) 37 (d) 14
  30. 30.What is the average of 75, 52, 80, 75 and 43? (a) 64 (b) 66 (c) 65 (d) 67
  31. 31.What is the value of the digit 8 in 16.728? (a) 8 (b) 0.08 (c) 0.008 (d) 0.8
  32. 32.A batter has an average of 32 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 44 (b) 38 (c) 80 (d) 48
  33. 33.Which fraction is greater: 1/7 or 2/3? (a) They are equal (b) 2/3 (c) 1/7
  34. 34.9.64 + 4.7 = ? (a) 14.44 (b) 10.11 (c) 14.24 (d) 14.34
  35. 35.What is 5/7 of 84? (a) 24 (b) 72 (c) 12 (d) 60
  36. 36.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 51 sq cm (d) 34 sq cm
  37. 37.What is the average of all the whole numbers from 10 to 22? (a) 12 (b) 17 (c) 6 (d) 16
  38. 38.3.05 + 5.8 = ? (a) 8.85 (b) 8.95 (c) 8.75 (d) 3.63
  39. 39.If 9x + 19 = 55, what is x? (a) 36 (b) 5 (c) 4 (d) 3
  40. 40.What is the simple interest on ₹2000 at 4% per year for 2 years? (a) ₹240 (b) ₹80 (c) ₹160 (d) ₹2160

Answer key

  1. 4/5
  2. 4 days
  3. 57
  4. 24 min
  5. 3
  6. 5%
  7. 98
  8. ₹259
  9. Monday
  10. 7
  11. 2/9
  12. ₹11200
  13. 0.68
  14. Tuesday
  15. 6
  16. 52 cm
  17. 4 cm
  18. 2%
  19. 16 days
  20. 154 sq cm
  21. ₹1764
  22. 58 cm
  23. 60
  24. ₹324
  25. 7/6
  26. 5%
  27. Monday
  28. 39
  29. 36
  30. 65
  31. 0.008
  32. 80
  33. 2/3
  34. 14.34
  35. 60
  36. 34 sq cm
  37. 16
  38. 8.85
  39. 4
  40. ₹160

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