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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 937 · 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 6 December is a Thursday, what day of the week is 18 December? (a) Thursday (b) Tuesday (c) Wednesday (d) Monday
  2. 2.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 56 min (b) 2 min (c) 22 min (d) 112 min
  3. 3.A bag marked ₹1560 is sold at a 10% discount. What is its selling price? (a) ₹156 (b) ₹1404 (c) ₹1716 (d) ₹1550
  4. 4.3.63 + 7.8 = ? (a) 11.43 (b) 11.33 (c) 4.41 (d) 11.53
  5. 5.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 96 cm
  6. 6.What is the average of all the whole numbers from 38 to 78? (a) 59 (b) 40 (c) 58 (d) 20
  7. 7.If x/3 + 7 = 18, what is x? (a) 33 (b) 75 (c) 11 (d) 47
  8. 8.In how many years will ₹3500 earn ₹280 simple interest at 4% per year? (a) 4 years (b) 3 years (c) 1 year (d) 2 years
  9. 9.Every pair follows the same rule: 1 : 1, 2 : 8, 5 : 125. What is 3 : ? (a) 27 (b) 3 (c) 28 (d) 47
  10. 10.Which is the greatest: 0.8, 0.88, 0.727, 0.071? (a) 0.8 (b) 0.88 (c) 0.727 (d) 0.071
  11. 11.In how many years will ₹10000 earn ₹4800 simple interest at 12% per year? (a) 3 years (b) 8 years (c) 5 years (d) 4 years
  12. 12.The simple interest on ₹6000 for 5 years is ₹900. What is the rate per year? (a) 15% (b) 4% (c) 2% (d) 3%
  13. 13.Every pair follows the same rule: 4 : 16, 5 : 20, 6 : 24. What is 8 : ? (a) 32 (b) 20 (c) 33 (d) 31
  14. 14.₹344 is shared between two friends in the ratio 3 : 5. How much is the bigger share? (a) ₹43 (b) ₹129 (c) ₹172 (d) ₹215
  15. 15.If 13 January is a Monday, what day of the week is 26 January? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
  16. 16.What is the simple interest on ₹5500 at 2% per year for 5 years? (a) ₹660 (b) ₹6050 (c) ₹110 (d) ₹550
  17. 17.If x/2 + 4 = 9, what is x? (a) 14 (b) 26 (c) 5 (d) 10
  18. 18.What is the average of all the whole numbers from 44 to 78? (a) 61 (b) 34 (c) 17 (d) 62
  19. 19.What is the value of the digit 7 in 76.312? (a) 0.7 (b) 7 (c) 0.07 (d) 70
  20. 20.If x/6 + 4 = 8, what is x? (a) 4 (b) 24 (c) 44 (d) 72
  21. 21.Two bells ring every 18 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 60 min (c) 126 min (d) 756 min
  22. 22.What is 30% of 80? (a) 48 (b) 240 (c) 24 (d) 56
  23. 23.₹238 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹17 (b) ₹119 (c) ₹153 (d) ₹85
  24. 24.Every pair follows the same rule: 2 : 2, 5 : 23, 8 : 62. What is 3 : ? (a) 3 (b) 8 (c) 6 (d) 7
  25. 25.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 84 cm
  26. 26.A shopkeeper buys a toy for ₹100 and sells it for ₹150. What is his profit percent? (a) 55% (b) 45% (c) 51% (d) 50%
  27. 27.Every pair follows the same rule: 2 : 9, 4 : 17, 5 : 21. What is 7 : ? (a) 29 (b) 30 (c) 28 (d) 14
  28. 28.1/2 + 1/2 = ? (a) 3/2 (b) 2 (c) 1/2 (d) 1
  29. 29.If 3x + 6 = 21, what is x? (a) 9 (b) 6 (c) 5 (d) 15
  30. 30.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 44 (b) 36 (c) 72 (d) 100
  31. 31.Today is Friday. What day of the week will it be after 28 days? (a) Sunday (b) Saturday (c) Friday (d) Thursday
  32. 32.Every pair follows the same rule: 2 : 12, 4 : 24, 5 : 30. What is 3 : ? (a) 17 (b) 18 (c) 13 (d) 19
  33. 33.Which fraction is greater: 8/9 or 5/8? (a) 8/9 (b) They are equal (c) 5/8
  34. 34.Today is Thursday. What day of the week will it be after 73 days? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
  35. 35.In how many years will ₹9500 earn ₹1995 simple interest at 7% per year? (a) 6 years (b) 3 years (c) 4 years (d) 2 years
  36. 36.6.53 + 4.8 = ? (a) 7.01 (b) 11.23 (c) 11.43 (d) 11.33
  37. 37.What is the simple interest on ₹1500 at 11% per year for 4 years? (a) ₹660 (b) ₹2160 (c) ₹825 (d) ₹165
  38. 38.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 35 (b) 29 (c) 59 (d) 36
  39. 39.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 15 sq cm (c) 30 sq cm (d) 56 sq cm
  40. 40.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 160 cm (b) 28 cm (c) 48 cm (d) 56 cm

Answer key

  1. Tuesday
  2. 56 min
  3. ₹1404
  4. 11.43
  5. 9 cm
  6. 58
  7. 33
  8. 2 years
  9. 27
  10. 0.88
  11. 4 years
  12. 3%
  13. 32
  14. ₹215
  15. Sunday
  16. ₹550
  17. 10
  18. 61
  19. 70
  20. 24
  21. 126 min
  22. 24
  23. ₹153
  24. 7
  25. 8 cm
  26. 50%
  27. 29
  28. 1
  29. 5
  30. 100
  31. Friday
  32. 18
  33. 8/9
  34. Sunday
  35. 3 years
  36. 11.33
  37. ₹660
  38. 59
  39. 56 sq cm
  40. 56 cm

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