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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 984 · 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.If 10 March is a Sunday, what day of the week is 22 March? (a) Thursday (b) Sunday (c) Friday (d) Saturday
  2. 2.Which of these numbers is divisible by 9? (a) 1347 (b) 1334 (c) 1324 (d) 1332
  3. 3.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 45 (b) 53 (c) 88 (d) 10
  4. 4.What is 60% of 360? (a) 144 (b) 216 (c) 432 (d) 2160
  5. 5.What is the value of the digit 2 in 48.572? (a) 2 (b) 0.02 (c) 0.002 (d) 0.2
  6. 6.If 8 mangoes cost ₹200, how much do 12 mangoes cost? (a) ₹2400 (b) ₹300 (c) ₹204 (d) ₹325
  7. 7.Which fraction is greater: 7/8 or 1/4? (a) 1/4 (b) 7/8 (c) They are equal
  8. 8.A teacher has 30 pencils and 40 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 120 (b) 10 (c) 5 (d) 30
  9. 9.8.09 + 1.9 = ? (a) 9.99 (b) 10.09 (c) 8.28 (d) 9.89
  10. 10.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 8 cm (c) 3 cm (d) 4 cm
  11. 11.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm
  12. 12.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 20 (b) 57 (c) 59 (d) 75
  13. 13.Every pair follows the same rule: 2 : 2, 3 : 4, 6 : 10. What is 8 : ? (a) 8 (b) 13 (c) 14 (d) 15
  14. 14.What is the simple interest on ₹6000 at 6% per year for 4 years? (a) ₹360 (b) ₹1800 (c) ₹1440 (d) ₹7440
  15. 15.If 7 October is a Thursday, what day of the week is 20 October? (a) Friday (b) Tuesday (c) Thursday (d) Wednesday
  16. 16.Which of these numbers is divisible by 9? (a) 852 (b) 872 (c) 855 (d) 857
  17. 17.₹280 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹84 (b) ₹140 (c) ₹196 (d) ₹28
  18. 18.The simple interest on ₹2500 for 5 years is ₹375. What is the rate per year? (a) 3% (b) 2% (c) 15% (d) 4%
  19. 19.6.65 + 8.8 = ? (a) 7.53 (b) 15.55 (c) 15.35 (d) 15.45
  20. 20.If x/2 + 11 = 16, what is x? (a) 21 (b) 54 (c) 5 (d) 10
  21. 21.Which is the greatest: 0.648, 0.71, 0.035, 0.7? (a) 0.648 (b) 0.71 (c) 0.035 (d) 0.7
  22. 22.If 6x + 14 = x + 29, what is x? (a) 4 (b) 3 (c) 2 (d) 5
  23. 23.If 8x + 13 = x + 97, what is x? (a) 13 (b) 14 (c) 11 (d) 12
  24. 24.What is the average of all the whole numbers from 31 to 69? (a) 50 (b) 38 (c) 51 (d) 19
  25. 25.What is the average of all the whole numbers from 9 to 35? (a) 26 (b) 22 (c) 13 (d) 23
  26. 26.Two ribbons are 10 cm and 45 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) 10 cm (c) 35 cm (d) 5 cm
  27. 27.If 3x − 9 = 6, what is x? (a) 6 (b) 4 (c) 5 (d) 15
  28. 28.If 29 May is a Friday, what day of the week is 8 June? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
  29. 29.Every pair follows the same rule: 4 : 24, 7 : 42, 8 : 48. What is 5 : ? (a) 29 (b) 31 (c) 30 (d) 25
  30. 30.Which fraction is greater: 2/9 or 1/7? (a) 1/7 (b) They are equal (c) 2/9
  31. 31.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 94 (b) 29 (c) 30 (d) 45
  32. 32.₹84 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹54 (b) ₹6 (c) ₹30 (d) ₹42
  33. 33.If 5 December is a Saturday, what day of the week is 20 December? (a) Tuesday (b) Saturday (c) Sunday (d) Monday
  34. 34.If 5x − 21 = 9, what is x? (a) 7 (b) 30 (c) 5 (d) 6
  35. 35.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 14 min (b) 20 min (c) 2 min (d) 40 min
  36. 36.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 136 cm (b) 10 cm (c) 9 cm (d) 18 cm
  37. 37.If 2 mangoes cost ₹8, how much do 6 mangoes cost? (a) ₹24 (b) ₹12 (c) ₹28 (d) ₹48
  38. 38.Every pair follows the same rule: 2 : 2, 3 : 4, 6 : 10. What is 7 : ? (a) 7 (b) 12 (c) 13 (d) 11
  39. 39.What is the units digit of 3^18? (a) 7 (b) 3 (c) 9 (d) 1
  40. 40.Every pair follows the same rule: 7 : 63, 8 : 72, 9 : 81. What is 5 : ? (a) 45 (b) 61 (c) 46 (d) 44

Answer key

  1. Friday
  2. 1332
  3. 53
  4. 216
  5. 0.002
  6. ₹300
  7. 7/8
  8. 10
  9. 9.99
  10. 3 cm
  11. 196 sq cm
  12. 75
  13. 14
  14. ₹1440
  15. Wednesday
  16. 855
  17. ₹196
  18. 3%
  19. 15.45
  20. 10
  21. 0.71
  22. 3
  23. 12
  24. 50
  25. 22
  26. 5 cm
  27. 5
  28. Monday
  29. 30
  30. 2/9
  31. 29
  32. ₹54
  33. Sunday
  34. 6
  35. 20 min
  36. 9 cm
  37. ₹24
  38. 12
  39. 9
  40. 45

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