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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 946 · 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.₹324 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹324 (b) ₹36 (c) ₹162 (d) ₹288
  2. 2.If 3x + 23 = 44, what is x? (a) 21 (b) 8 (c) 6 (d) 7
  3. 3.Two ribbons are 35 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 35 cm (b) 28 cm (c) 1 cm (d) 7 cm
  4. 4.If 16 January is a Monday, what day of the week is 20 February? (a) Wednesday (b) Tuesday (c) Monday (d) Sunday
  5. 5.₹308 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹154 (b) ₹44 (c) ₹264 (d) ₹308
  6. 6.What is the remainder when 47 is divided by 3? (a) 2 (b) 1 (c) 0
  7. 7.₹405 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹180 (b) ₹225 (c) ₹270 (d) ₹45
  8. 8.Today is Friday. What day of the week will it be after 22 days? (a) Friday (b) Saturday (c) Sunday (d) Monday
  9. 9.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 10 (b) 31 (c) 24 (d) 17
  10. 10.What is the units digit of 2^60? (a) 4 (b) 8 (c) 6 (d) 2
  11. 11.Every pair follows the same rule: 2 : 6, 6 : 10, 7 : 11. What is 8 : ? (a) 11 (b) 12 (c) 24 (d) 13
  12. 12.Every pair follows the same rule: 4 : 16, 6 : 36, 7 : 49. What is 3 : ? (a) 12 (b) 15 (c) 9 (d) 10
  13. 13.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 33 sq cm (d) 44 sq cm
  14. 14.Which is the greatest: 0.321, 0.44, 0.048, 0.4? (a) 0.321 (b) 0.44 (c) 0.048 (d) 0.4
  15. 15.₹2000 is invested at 8% per year simple interest. What is the amount after 3 years? (a) ₹2480 (b) ₹480 (c) ₹2640 (d) ₹2160
  16. 16.₹84 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹24 (b) ₹12 (c) ₹42 (d) ₹60
  17. 17.9.24 + 8.1 = ? (a) 17.34 (b) 17.24 (c) 17.44 (d) 10.05
  18. 18.If 6x + 16 = 4x + 20, what is x? (a) 18 (b) 2 (c) 4 (d) 3
  19. 19.What is the remainder when 151 is divided by 4? (a) 3 (b) 1 (c) 2 (d) 0
  20. 20.₹123 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹41 (b) ₹82 (c) ₹83 (d) ₹123
  21. 21.Today is Monday. What day of the week will it be after 79 days? (a) Wednesday (b) Tuesday (c) Thursday (d) Friday
  22. 22.What is the simple interest on ₹9000 at 11% per year for 2 years? (a) ₹990 (b) ₹10980 (c) ₹1980 (d) ₹2970
  23. 23.6 workers can build a wall in 5 days. How many days will 3 workers take, working at the same speed? (a) 2 days (b) 8 days (c) 11 days (d) 10 days
  24. 24.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 18 sq cm (c) 9 sq cm (d) 14 sq cm
  25. 25.Every pair follows the same rule: 3 : 7, 6 : 10, 9 : 13. What is 8 : ? (a) 13 (b) 11 (c) 14 (d) 12
  26. 26.What is the remainder when 237 is divided by 6? (a) 3 (b) 4 (c) 5 (d) 2
  27. 27.A teacher has 22 pencils and 55 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 11 (b) 1 (c) 33 (d) 22
  28. 28.What is the value of the digit 7 in 92.817? (a) 0.07 (b) 0.7 (c) 7 (d) 0.007
  29. 29.If 10 December is a Tuesday, what day of the week is 25 December? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
  30. 30.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 42 cm (c) 108 cm (d) 48 cm
  31. 31.If 5x + 18 = 78, what is x? (a) 60 (b) 11 (c) 13 (d) 12
  32. 32.₹540 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹270 (b) ₹225 (c) ₹315 (d) ₹45
  33. 33.What is the units digit of 9^55? (a) 9 (b) 7 (c) 1 (d) 8
  34. 34.Every pair follows the same rule: 4 : 20, 5 : 25, 6 : 30. What is 3 : ? (a) 14 (b) 15 (c) 16 (d) 19
  35. 35.In how many years will ₹6000 earn ₹2100 simple interest at 7% per year? (a) 10 years (b) 6 years (c) 4 years (d) 5 years
  36. 36.If 8x + 20 = 6x + 36, what is x? (a) 8 (b) 9 (c) 10 (d) 28
  37. 37.If x/6 + 5 = 17, what is x? (a) 12 (b) 72 (c) 132 (d) 97
  38. 38.A batter has an average of 41 runs in 7 matches. How many runs are needed in the next match to raise the average to 46? (a) 40 (b) 81 (c) 51 (d) 46
  39. 39.If 8 notebooks cost ₹120, how much do 7 notebooks cost? (a) ₹120 (b) ₹105 (c) ₹840 (d) ₹119
  40. 40.Every pair follows the same rule: 2 : 4, 4 : 16, 5 : 25. What is 8 : ? (a) 10 (b) 52 (c) 64 (d) 16

Answer key

  1. ₹288
  2. 7
  3. 7 cm
  4. Monday
  5. ₹264
  6. 2
  7. ₹225
  8. Saturday
  9. 31
  10. 6
  11. 12
  12. 9
  13. 33 sq cm
  14. 0.44
  15. ₹2480
  16. ₹60
  17. 17.34
  18. 2
  19. 3
  20. ₹82
  21. Wednesday
  22. ₹1980
  23. 10 days
  24. 14 sq cm
  25. 12
  26. 3
  27. 11
  28. 0.007
  29. Wednesday
  30. 48 cm
  31. 12
  32. ₹315
  33. 9
  34. 15
  35. 5 years
  36. 8
  37. 72
  38. 81
  39. ₹105
  40. 64

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