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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 856 · 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 remainder when 850 is divided by 12? (a) 2 (b) 11 (c) 9 (d) 10
  2. 2.If 7x + 27 = 118, what is x? (a) 91 (b) 13 (c) 12 (d) 14
  3. 3.₹49 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹14 (b) ₹35 (c) ₹42 (d) ₹7
  4. 4.If 3 mangoes cost ₹72, how much do 12 mangoes cost? (a) ₹288 (b) ₹312 (c) ₹81 (d) ₹864
  5. 5.What is the units digit of 8^52? (a) 8 (b) 2 (c) 4 (d) 6
  6. 6.What is the average of 14, 28, 13, 17, 28 and 32? (a) 21 (b) 24 (c) 23 (d) 22
  7. 7.What is the units digit of 8^21? (a) 8 (b) 6 (c) 2 (d) 4
  8. 8.Today is Tuesday. What day of the week will it be after 25 days? (a) Monday (b) Sunday (c) Saturday (d) Friday
  9. 9.Today is Friday. What day of the week will it be after 90 days? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
  10. 10.Every pair follows the same rule: 5 : 28, 6 : 39, 8 : 67. What is 7 : ? (a) 53 (b) 52 (c) 30 (d) 51
  11. 11.Today is Thursday. What day of the week will it be after 100 days? (a) Friday (b) Saturday (c) Monday (d) Sunday
  12. 12.What is 25% of 700? (a) 175 (b) 525 (c) 350 (d) 1750
  13. 13.In how many years will ₹2500 earn ₹225 simple interest at 3% per year? (a) 2 years (b) 3 years (c) 4 years (d) 6 years
  14. 14.1/4 + 4/5 = ? (a) 21/20 (b) 1 (c) 5/9 (d) 11/10
  15. 15.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
  16. 16.What is the average of all the whole numbers from 59 to 81? (a) 71 (b) 22 (c) 11 (d) 70
  17. 17.What is the average of 8, 33, 6, 31, 21 and 27? (a) 22 (b) 21 (c) 23 (d) 20
  18. 18.Which fraction is greater: 7/9 or 2/7? (a) 7/9 (b) 2/7 (c) They are equal
  19. 19.What is the value of the digit 3 in 58.391? (a) 0.3 (b) 0.03 (c) 3 (d) 0.003
  20. 20.If 8 July is a Tuesday, what day of the week is 22 July? (a) Tuesday (b) Wednesday (c) Monday (d) Thursday
  21. 21.What is 10% of 180? (a) 18 (b) 36 (c) 180 (d) 162
  22. 22.7.29 + 4.1 = ? (a) 11.49 (b) 11.29 (c) 7.7 (d) 11.39
  23. 23.Every pair follows the same rule: 4 : 32, 5 : 40, 6 : 48. What is 2 : ? (a) 17 (b) 16 (c) 30 (d) 15
  24. 24.In how many years will ₹8000 earn ₹1600 simple interest at 4% per year? (a) 6 years (b) 4 years (c) 10 years (d) 5 years
  25. 25.A teacher has 84 pencils and 96 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 12 (b) 84 (c) 6 (d) 672
  26. 26.If 3x − 2 = 16, what is x? (a) 6 (b) 5 (c) 7 (d) 18
  27. 27.A teacher has 24 pencils and 36 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 72 (b) 24 (c) 6 (d) 12
  28. 28.If 4x + 13 = 57, what is x? (a) 44 (b) 11 (c) 12 (d) 10
  29. 29.If 8x − 34 = 86, what is x? (a) 14 (b) 15 (c) 120 (d) 16
  30. 30.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  31. 31.If 5 kites cost ₹100, how much do 4 kites cost? (a) ₹99 (b) ₹400 (c) ₹100 (d) ₹80
  32. 32.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 84 min (b) 168 min (c) 2 min (d) 26 min
  33. 33.3 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 11 days (b) 2 days (c) 4 days (d) 3 days
  34. 34.What is the remainder when 88 is divided by 7? (a) 6 (b) 5 (c) 3 (d) 4
  35. 35.What is 1/2 of 10? (a) 4 (b) 6 (c) 5 (d) 10
  36. 36.Which fraction is greater: 1/4 or 1/9? (a) They are equal (b) 1/9 (c) 1/4
  37. 37.If 21 May is a Tuesday, what day of the week is 10 June? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
  38. 38.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 3 cm (c) 2 cm (d) 4 cm
  39. 39.2/7 + 4/5 = ? (a) 1/2 (b) 37/35 (c) 38/35 (d) 39/35
  40. 40.What is the smallest number you must add to 347 to make it divisible by 5? (a) 4 (b) 2 (c) 1 (d) 3

Answer key

  1. 10
  2. 13
  3. ₹35
  4. ₹288
  5. 6
  6. 22
  7. 8
  8. Saturday
  9. Thursday
  10. 52
  11. Saturday
  12. 175
  13. 3 years
  14. 21/20
  15. 225 sq cm
  16. 70
  17. 21
  18. 7/9
  19. 0.3
  20. Tuesday
  21. 18
  22. 11.39
  23. 16
  24. 5 years
  25. 12
  26. 6
  27. 12
  28. 11
  29. 15
  30. 64 sq cm
  31. ₹80
  32. 84 min
  33. 3 days
  34. 4
  35. 5
  36. 1/4
  37. Monday
  38. 2 cm
  39. 38/35
  40. 3

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