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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 924 · 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.Every pair follows the same rule: 3 : 17, 5 : 19, 6 : 20. What is 9 : ? (a) 22 (b) 24 (c) 23 (d) 25
  2. 2.5.99 + 6.1 = ? (a) 12.19 (b) 6.6 (c) 11.99 (d) 12.09
  3. 3.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 42 (b) 30 (c) 16 (d) 34
  4. 4.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 121 sq cm (d) 44 sq cm
  5. 5.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 15 (c) 35 (d) 26
  6. 6.2.93 + 9.2 = ? (a) 12.23 (b) 12.13 (c) 12.03 (d) 3.85
  7. 7.Today is Sunday. What day of the week will it be after 11 days? (a) Wednesday (b) Friday (c) Saturday (d) Thursday
  8. 8.In how many years will ₹3500 earn ₹490 simple interest at 7% per year? (a) 3 years (b) 4 years (c) 2 years (d) 1 year
  9. 9.7.82 + 8.4 = ? (a) 16.22 (b) 8.66 (c) 16.12 (d) 16.32
  10. 10.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 64 sq cm (c) 56 sq cm (d) 15 sq cm
  11. 11.A shopkeeper buys a toy for ₹500 and sells it for ₹475. What is his loss percent? (a) 5% (b) 10% (c) 25% (d) 6%
  12. 12.What is 10% of 400? (a) 80 (b) 400 (c) 40 (d) 360
  13. 13.What is the average of all the whole numbers from 57 to 97? (a) 40 (b) 78 (c) 77 (d) 20
  14. 14.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 224 min (b) 36 min (c) 56 min (d) 4 min
  15. 15.Which of these numbers is divisible by 9? (a) 5291 (b) 5283 (c) 5279 (d) 5297
  16. 16.What is the smallest number of sweets that can be shared equally among 9 children or among 15 children, with none left over? (a) 135 (b) 90 (c) 45 (d) 24
  17. 17.What is the remainder when 276 is divided by 8? (a) 5 (b) 6 (c) 4 (d) 3
  18. 18.Today is Friday. What day of the week will it be after 55 days? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
  19. 19.What is the remainder when 73 is divided by 4? (a) 0 (b) 2 (c) 1 (d) 3
  20. 20.What is 2/9 of 45? (a) 10 (b) 5 (c) 15 (d) 35
  21. 21.What is the average of all the whole numbers from 11 to 29? (a) 21 (b) 20 (c) 9 (d) 18
  22. 22.Two bells ring every 18 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 432 min (b) 42 min (c) 6 min (d) 72 min
  23. 23.Two ribbons are 10 cm and 14 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 2 cm (c) 4 cm (d) 10 cm
  24. 24.If 7 March is a Saturday, what day of the week is 19 March? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
  25. 25.If 6x + 10 = 40, what is x? (a) 6 (b) 4 (c) 5 (d) 30
  26. 26.What is the value of the digit 1 in 63.281? (a) 1 (b) 0.001 (c) 0.01 (d) 0.1
  27. 27.Today is Saturday. What day of the week will it be after 98 days? (a) Saturday (b) Sunday (c) Friday (d) Monday
  28. 28.What is the units digit of 9^38? (a) 9 (b) 2 (c) 0 (d) 1
  29. 29.₹4000 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹4080 (b) ₹160 (c) ₹4240 (d) ₹4160
  30. 30.What is 1/2 of 24? (a) 24 (b) 12 (c) 13 (d) 11
  31. 31.Which fraction is greater: 3/4 or 1/6? (a) 1/6 (b) 3/4 (c) They are equal
  32. 32.If 8 notebooks cost ₹48, how much do 4 notebooks cost? (a) ₹192 (b) ₹44 (c) ₹30 (d) ₹24
  33. 33.What is the smallest number you must add to 101 to make it divisible by 7? (a) 6 (b) 5 (c) 4 (d) 3
  34. 34.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 29 (b) 47 (c) 17 (d) 35
  35. 35.If x/6 + 8 = 11, what is x? (a) 3 (b) 114 (c) 58 (d) 18
  36. 36.What is the value of the digit 7 in 35.798? (a) 0.7 (b) 0.007 (c) 0.07 (d) 7
  37. 37.A teacher has 21 pencils and 56 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 35 (b) 7 (c) 1 (d) 21
  38. 38.If 4x − 1 = 7, what is x? (a) 8 (b) 2 (c) 3 (d) 1
  39. 39.Every pair follows the same rule: 3 : 9, 6 : 36, 8 : 64. What is 4 : ? (a) 16 (b) 10 (c) 8 (d) 12
  40. 40.A teacher has 20 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 120 (b) 20 (c) 4 (d) 2

Answer key

  1. 23
  2. 12.09
  3. 42
  4. 121 sq cm
  5. 35
  6. 12.13
  7. Thursday
  8. 2 years
  9. 16.22
  10. 56 sq cm
  11. 5%
  12. 40
  13. 77
  14. 56 min
  15. 5283
  16. 45
  17. 4
  18. Thursday
  19. 1
  20. 10
  21. 20
  22. 72 min
  23. 2 cm
  24. Thursday
  25. 5
  26. 0.001
  27. Saturday
  28. 1
  29. ₹4160
  30. 12
  31. 3/4
  32. ₹24
  33. 4
  34. 47
  35. 18
  36. 0.7
  37. 7
  38. 2
  39. 16
  40. 4

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