← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 970 · 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.Two bells ring every 18 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 126 min (c) 60 min (d) 756 min
  2. 2.What is the units digit of 2^30? (a) 4 (b) 8 (c) 6 (d) 2
  3. 3.In how many years will ₹1000 earn ₹140 simple interest at 7% per year? (a) 2 years (b) 3 years (c) 1 year (d) 4 years
  4. 4.What is the simple interest on ₹4000 at 12% per year for 4 years? (a) ₹2400 (b) ₹480 (c) ₹5920 (d) ₹1920
  5. 5.What is the average of all the whole numbers from 36 to 74? (a) 38 (b) 19 (c) 56 (d) 55
  6. 6.If 5 pens cost ₹45, how much do 9 pens cost? (a) ₹90 (b) ₹81 (c) ₹405 (d) ₹49
  7. 7.What is the remainder when 496 is divided by 11? (a) 0 (b) 1 (c) 10 (d) 2
  8. 8.Which fraction is greater: 1/12 or 7/8? (a) 7/8 (b) 1/12 (c) They are equal
  9. 9.Which is the greatest: 0.6, 0.585, 0.052, 0.61? (a) 0.6 (b) 0.585 (c) 0.052 (d) 0.61
  10. 10.If 5 pens cost ₹110, how much do 6 pens cost? (a) ₹111 (b) ₹132 (c) ₹660 (d) ₹154
  11. 11.₹8000 is invested at 12% per year simple interest. What is the amount after 5 years? (a) ₹8960 (b) ₹12800 (c) ₹4800 (d) ₹13760
  12. 12.Every pair follows the same rule: 5 : 25, 6 : 30, 9 : 45. What is 3 : ? (a) 23 (b) 14 (c) 16 (d) 15
  13. 13.If 3x + 2 = 2x + 10, what is x? (a) 10 (b) 9 (c) 12 (d) 8
  14. 14.A shopkeeper buys a toy for ₹920 and sells it for ₹1196. What is his profit percent? (a) 31% (b) 25% (c) 30% (d) 35%
  15. 15.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 30 sq cm (c) 11 sq cm (d) 36 sq cm
  16. 16.5 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 7 days (b) 16 days (c) 15 days (d) 11 days
  17. 17.A bag marked ₹1940 is sold at a 20% discount. What is its selling price? (a) ₹2328 (b) ₹1920 (c) ₹1552 (d) ₹388
  18. 18.Every pair follows the same rule: 5 : 25, 6 : 36, 8 : 64. What is 3 : ? (a) 10 (b) 23 (c) 15 (d) 9
  19. 19.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 24 (b) 12 (c) 10 (d) 13
  20. 20.A shopkeeper buys a toy for ₹220 and sells it for ₹231. What is his profit percent? (a) 6% (b) 10% (c) 11% (d) 5%
  21. 21.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 120 cm
  22. 22.Which of these numbers is divisible by 8? (a) 1524 (b) 1528 (c) 1534 (d) 1543
  23. 23.7.39 + 7.2 = ? (a) 14.59 (b) 14.49 (c) 14.69 (d) 8.11
  24. 24.3 workers can build a wall in 12 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 13 days (c) 18 days (d) 8 days
  25. 25.If 10 June is a Monday, what day of the week is 4 July? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
  26. 26.What is 50% of 440? (a) 2200 (b) 440 (c) 220 (d) 221
  27. 27.What is 75% of 320? (a) 80 (b) 240 (c) 2400 (d) 480
  28. 28.What is the simple interest on ₹2500 at 3% per year for 3 years? (a) ₹75 (b) ₹2725 (c) ₹300 (d) ₹225
  29. 29.Every pair follows the same rule: 2 : 11, 3 : 16, 5 : 26. What is 4 : ? (a) 20 (b) 13 (c) 22 (d) 21
  30. 30.What is the average of all the whole numbers from 12 to 28? (a) 16 (b) 21 (c) 8 (d) 20
  31. 31.What is 1/3 of 6? (a) 1 (b) 4 (c) 3 (d) 2
  32. 32.What is the remainder when 422 is divided by 12? (a) 10 (b) 2 (c) 1 (d) 3
  33. 33.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 42 sq cm (d) 49 sq cm
  34. 34.Which of these numbers is divisible by 6? (a) 1362 (b) 1369 (c) 1359 (d) 1366
  35. 35.If 4 July is a Tuesday, what day of the week is 12 July? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
  36. 36.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 32 (b) 35 (c) 59 (d) 31
  37. 37.6.13 + 3.7 = ? (a) 6.5 (b) 9.83 (c) 9.73 (d) 9.93
  38. 38.Every pair follows the same rule: 5 : 25, 7 : 49, 8 : 64. What is 4 : ? (a) 20 (b) 4 (c) 24 (d) 16
  39. 39.2/4 + 3/4 = ? (a) 1 (b) 5/8 (c) 5/4 (d) 3/2
  40. 40.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 126 cm (b) 8 cm (c) 9 cm (d) 16 cm

Answer key

  1. 126 min
  2. 4
  3. 2 years
  4. ₹1920
  5. 55
  6. ₹81
  7. 1
  8. 7/8
  9. 0.61
  10. ₹132
  11. ₹12800
  12. 15
  13. 8
  14. 30%
  15. 30 sq cm
  16. 15 days
  17. ₹1552
  18. 9
  19. 12
  20. 5%
  21. 7 cm
  22. 1528
  23. 14.59
  24. 18 days
  25. Thursday
  26. 220
  27. 240
  28. ₹225
  29. 21
  30. 20
  31. 2
  32. 2
  33. 42 sq cm
  34. 1362
  35. Wednesday
  36. 59
  37. 9.83
  38. 16
  39. 5/4
  40. 8 cm

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