← Maths Olympiad mock test lesson New set →

Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 385 · 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.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 49 sq cm (d) 64 sq cm
  2. 2.What is the simple interest on ₹4500 at 4% per year for 2 years? (a) ₹360 (b) ₹4860 (c) ₹540 (d) ₹180
  3. 3.What is the simple interest on ₹3500 at 11% per year for 4 years? (a) ₹1540 (b) ₹385 (c) ₹5040 (d) ₹1925
  4. 4.What is the smallest number of sweets that can be shared equally among 15 children or among 20 children, with none left over? (a) 35 (b) 60 (c) 300 (d) 120
  5. 5.What is 3/4 of 24? (a) 6 (b) 18 (c) 24 (d) 19
  6. 6.What is the value of the digit 5 in 75.248? (a) 0.5 (b) 5 (c) 50 (d) 0.05
  7. 7.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 40 (b) 12 (c) 31 (d) 34
  8. 8.Today is Monday. What day of the week will it be after 29 days? (a) Tuesday (b) Monday (c) Wednesday (d) Thursday
  9. 9.A teacher has 40 pencils and 90 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 5 (b) 50 (c) 10 (d) 40
  10. 10.Two bells ring every 12 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 27 min (b) 60 min (c) 180 min (d) 3 min
  11. 11.₹132 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹72 (b) ₹12 (c) ₹66 (d) ₹60
  12. 12.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 24 sq cm (d) 169 sq cm
  13. 13.Every pair follows the same rule: 1 : 1, 3 : 27, 4 : 64. What is 6 : ? (a) 6 (b) 216 (c) 138 (d) 217
  14. 14.What is the smallest number of sweets that can be shared equally among 20 children or among 35 children, with none left over? (a) 55 (b) 280 (c) 700 (d) 140
  15. 15.Every pair follows the same rule: 3 : 9, 6 : 36, 9 : 81. What is 7 : ? (a) 13 (b) 51 (c) 49 (d) 21
  16. 16.What is 4/5 of 35? (a) 7 (b) 29 (c) 35 (d) 28
  17. 17.Which of these numbers is divisible by 9? (a) 7506 (b) 7501 (c) 7522 (d) 7512
  18. 18.If 6x + 3 = 5x + 13, what is x? (a) 11 (b) 10 (c) 16 (d) 12
  19. 19.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 19 sq cm (c) 38 sq cm (d) 75 sq cm
  20. 20.What is the simple interest on ₹1500 at 10% per year for 2 years? (a) ₹150 (b) ₹1800 (c) ₹450 (d) ₹300
  21. 21.The simple interest on ₹3500 for 5 years is ₹875. What is the rate per year? (a) 25% (b) 6% (c) 4% (d) 5%
  22. 22.A shopkeeper buys a toy for ₹240 and sells it for ₹216. What is his loss percent? (a) 5% (b) 24% (c) 10% (d) 15%
  23. 23.What is the simple interest on ₹1000 at 9% per year for 5 years? (a) ₹90 (b) ₹450 (c) ₹540 (d) ₹1450
  24. 24.Every pair follows the same rule: 4 : 26, 5 : 31, 9 : 51. What is 8 : ? (a) 30 (b) 46 (c) 45 (d) 47
  25. 25.Every pair follows the same rule: 2 : 10, 3 : 15, 4 : 22. What is 6 : ? (a) 30 (b) 14 (c) 42 (d) 36
  26. 26.What is the simple interest on ₹3500 at 8% per year for 2 years? (a) ₹280 (b) ₹4060 (c) ₹560 (d) ₹840
  27. 27.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 5 (b) 39 (c) 43 (d) 77
  28. 28.What is the simple interest on ₹2000 at 12% per year for 2 years? (a) ₹720 (b) ₹2480 (c) ₹240 (d) ₹480
  29. 29.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 65 (b) 15 (c) 56 (d) 53
  30. 30.If 14 May is a Friday, what day of the week is 22 May? (a) Friday (b) Sunday (c) Saturday (d) Monday
  31. 31.What is the value of the digit 2 in 74.652? (a) 0.2 (b) 2 (c) 0.02 (d) 0.002
  32. 32.Which fraction is greater: 5/7 or 10/11? (a) 5/7 (b) They are equal (c) 10/11
  33. 33.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 504 min (c) 54 min (d) 84 min
  34. 34.In how many years will ₹6000 earn ₹1080 simple interest at 9% per year? (a) 4 years (b) 3 years (c) 1 year (d) 2 years
  35. 35.Which fraction is greater: 7/9 or 2/7? (a) 7/9 (b) They are equal (c) 2/7
  36. 36.Every pair follows the same rule: 4 : 10, 7 : 19, 9 : 25. What is 3 : ? (a) 7 (b) 6 (c) 8 (d) 9
  37. 37.If x/6 + 11 = 22, what is x? (a) 66 (b) 11 (c) 121 (d) 198
  38. 38.9 workers can build a wall in 9 days. How many days will 3 workers take, working at the same speed? (a) 27 days (b) 15 days (c) 3 days (d) 28 days
  39. 39.If x/4 + 4 = 13, what is x? (a) 9 (b) 48 (c) 36 (d) 68
  40. 40.Every pair follows the same rule: 2 : 1, 5 : 16, 9 : 36. What is 6 : ? (a) 21 (b) 23 (c) 22 (d) 20

Answer key

  1. 49 sq cm
  2. ₹360
  3. ₹1540
  4. 60
  5. 18
  6. 5
  7. 40
  8. Tuesday
  9. 10
  10. 60 min
  11. ₹72
  12. 144 sq cm
  13. 216
  14. 140
  15. 49
  16. 28
  17. 7506
  18. 10
  19. 60 sq cm
  20. ₹300
  21. 5%
  22. 10%
  23. ₹450
  24. 46
  25. 42
  26. ₹560
  27. 43
  28. ₹480
  29. 65
  30. Saturday
  31. 0.002
  32. 10/11
  33. 84 min
  34. 2 years
  35. 7/9
  36. 7
  37. 66
  38. 27 days
  39. 36
  40. 21

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