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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 753 · 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 average of 56, 47, 55 and 26? (a) 48 (b) 45 (c) 47 (d) 46
  2. 2.What is the smallest number of sweets that can be shared equally among 12 children or among 16 children, with none left over? (a) 192 (b) 48 (c) 96 (d) 28
  3. 3.If 4 notebooks cost ₹56, how much do 7 notebooks cost? (a) ₹392 (b) ₹98 (c) ₹112 (d) ₹59
  4. 4.If x/3 + 12 = 18, what is x? (a) 18 (b) 42 (c) 90 (d) 6
  5. 5.If 8 pens cost ₹200, how much do 2 pens cost? (a) ₹194 (b) ₹50 (c) ₹75 (d) ₹400
  6. 6.If x/6 + 11 = 18, what is x? (a) 42 (b) 97 (c) 7 (d) 174
  7. 7.Every pair follows the same rule: 3 : 4, 4 : 6, 7 : 12. What is 6 : ? (a) 7 (b) 11 (c) 9 (d) 10
  8. 8.If 9 March is a Sunday, what day of the week is 19 March? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
  9. 9.3.89 + 3.1 = ? (a) 4.2 (b) 7.09 (c) 6.89 (d) 6.99
  10. 10.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 55 (b) 63 (c) 104 (d) 48
  11. 11.Today is Tuesday. What day of the week will it be after 35 days? (a) Monday (b) Tuesday (c) Thursday (d) Wednesday
  12. 12.A teacher has 18 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 9 (b) 27 (c) 3 (d) 18
  13. 13.Today is Sunday. What day of the week will it be after 22 days? (a) Sunday (b) Wednesday (c) Tuesday (d) Monday
  14. 14.If 7x + 25 = 60, what is x? (a) 6 (b) 4 (c) 35 (d) 5
  15. 15.What is the simple interest on ₹4500 at 7% per year for 2 years? (a) ₹5130 (b) ₹945 (c) ₹630 (d) ₹315
  16. 16.If 31 October is a Tuesday, what day of the week is 5 November? (a) Monday (b) Saturday (c) Sunday (d) Tuesday
  17. 17.In how many years will ₹7000 earn ₹1120 simple interest at 4% per year? (a) 5 years (b) 8 years (c) 3 years (d) 4 years
  18. 18.What is the value of the digit 5 in 56.941? (a) 0.05 (b) 0.5 (c) 5 (d) 50
  19. 19.What is the average of all the whole numbers from 34 to 56? (a) 22 (b) 46 (c) 11 (d) 45
  20. 20.Every pair follows the same rule: 3 : 15, 4 : 22, 5 : 31. What is 9 : ? (a) 87 (b) 67 (c) 21 (d) 45
  21. 21.What is the remainder when 505 is divided by 10? (a) 5 (b) 7 (c) 4 (d) 6
  22. 22.If 16 September is a Saturday, what day of the week is 16 October? (a) Sunday (b) Wednesday (c) Tuesday (d) Monday
  23. 23.If 2 December is a Sunday, what day of the week is 17 December? (a) Sunday (b) Wednesday (c) Monday (d) Tuesday
  24. 24.The simple interest on ₹3500 for 4 years is ₹1400. What is the rate per year? (a) 40% (b) 9% (c) 10% (d) 11%
  25. 25.1/5 + 4/7 = ? (a) 5/12 (b) 4/5 (c) 26/35 (d) 27/35
  26. 26.4.26 + 3.3 = ? (a) 7.56 (b) 4.59 (c) 7.66 (d) 7.46
  27. 27.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 8 cm (c) 36 cm (d) 4 cm
  28. 28.Which is the smallest: 0.7, 0.021, 0.613, 0.72? (a) 0.7 (b) 0.021 (c) 0.613 (d) 0.72
  29. 29.What is the average of all the whole numbers from 43 to 79? (a) 61 (b) 36 (c) 18 (d) 62
  30. 30.Today is Tuesday. What day of the week will it be after 37 days? (a) Wednesday (b) Thursday (c) Friday (d) Saturday
  31. 31.3.91 + 4.4 = ? (a) 8.41 (b) 8.21 (c) 8.31 (d) 4.35
  32. 32.If 9x + 5 = 140, what is x? (a) 15 (b) 14 (c) 135 (d) 16
  33. 33.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 92 (b) 72 (c) 28 (d) 48
  34. 34.Two bells ring every 12 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 42 min (b) 360 min (c) 60 min (d) 6 min
  35. 35.If 5x + 1 = 2x + 22, what is x? (a) 7 (b) 8 (c) 9 (d) 3
  36. 36.If 9x − 28 = 71, what is x? (a) 99 (b) 10 (c) 12 (d) 11
  37. 37.Which of these numbers is divisible by 6? (a) 2629 (b) 2635 (c) 2634 (d) 2641
  38. 38.Every pair follows the same rule: 5 : 24, 6 : 35, 8 : 63. What is 3 : ? (a) 22 (b) 7 (c) 8 (d) 9
  39. 39.The simple interest on ₹8000 for 2 years is ₹1440. What is the rate per year? (a) 8% (b) 18% (c) 9% (d) 10%
  40. 40.If 3 notebooks cost ₹21, how much do 10 notebooks cost? (a) ₹210 (b) ₹70 (c) ₹77 (d) ₹28

Answer key

  1. 46
  2. 48
  3. ₹98
  4. 18
  5. ₹50
  6. 42
  7. 10
  8. Wednesday
  9. 6.99
  10. 104
  11. Tuesday
  12. 9
  13. Monday
  14. 5
  15. ₹630
  16. Sunday
  17. 4 years
  18. 50
  19. 45
  20. 87
  21. 5
  22. Monday
  23. Monday
  24. 10%
  25. 27/35
  26. 7.56
  27. 4 cm
  28. 0.021
  29. 61
  30. Thursday
  31. 8.31
  32. 15
  33. 72
  34. 60 min
  35. 7
  36. 11
  37. 2634
  38. 8
  39. 9%
  40. ₹70

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