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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 330 · 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.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 18 sq cm (b) 70 sq cm (c) 56 sq cm (d) 36 sq cm
  2. 2.4.91 + 2.4 = ? (a) 7.21 (b) 5.15 (c) 7.41 (d) 7.31
  3. 3.If 3 July is a Friday, what day of the week is 13 July? (a) Wednesday (b) Sunday (c) Tuesday (d) Monday
  4. 4.6.52 + 6.4 = ? (a) 7.16 (b) 13.02 (c) 12.82 (d) 12.92
  5. 5.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 96 cm (b) 40 cm (c) 20 cm (d) 32 cm
  6. 6.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 15 days (b) 6 days (c) 8 days (d) 7 days
  7. 7.What is the average of 56, 35, 54 and 27? (a) 44 (b) 43 (c) 45 (d) 42
  8. 8.What is the average of 58, 75, 56, 76, 70 and 67? (a) 69 (b) 66 (c) 67 (d) 68
  9. 9.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
  10. 10.What is 40% of 40? (a) 24 (b) 160 (c) 32 (d) 16
  11. 11.What is 40% of 320? (a) 1280 (b) 192 (c) 256 (d) 128
  12. 12.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 30 (c) 53 (d) 71
  13. 13.If 9 kites cost ₹144, how much do 10 kites cost? (a) ₹160 (b) ₹1440 (c) ₹176 (d) ₹145
  14. 14.What is the simple interest on ₹3000 at 11% per year for 2 years? (a) ₹990 (b) ₹330 (c) ₹660 (d) ₹3660
  15. 15.A shopkeeper buys a toy for ₹740 and sells it for ₹1036. What is his profit percent? (a) 41% (b) 45% (c) 40% (d) 35%
  16. 16.If 5x − 23 = 32, what is x? (a) 55 (b) 11 (c) 12 (d) 10
  17. 17.If 9x + 10 = 64, what is x? (a) 54 (b) 7 (c) 6 (d) 5
  18. 18.If 3x + 10 = 2x + 13, what is x? (a) 3 (b) 5 (c) 4 (d) 23
  19. 19.Which is the greatest: 0.029, 0.132, 0.2, 0.29? (a) 0.029 (b) 0.132 (c) 0.2 (d) 0.29
  20. 20.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 45 cm (c) 14 cm (d) 28 cm
  21. 21.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 17 sq cm (c) 66 sq cm (d) 34 sq cm
  22. 22.If 7x + 19 = 110, what is x? (a) 14 (b) 91 (c) 12 (d) 13
  23. 23.Which is the smallest: 0.033, 0.69, 0.6, 0.584? (a) 0.033 (b) 0.69 (c) 0.6 (d) 0.584
  24. 24.What is 1/7 of 49? (a) 14 (b) 42 (c) 7 (d) 8
  25. 25.5.63 + 5.2 = ? (a) 6.15 (b) 10.73 (c) 10.93 (d) 10.83
  26. 26.Every pair follows the same rule: 3 : 6, 4 : 8, 6 : 12. What is 2 : ? (a) 3 (b) 4 (c) 6 (d) 5
  27. 27.A bag marked ₹460 is sold at a 30% discount. What is its selling price? (a) ₹598 (b) ₹322 (c) ₹430 (d) ₹138
  28. 28.Which of these numbers is divisible by 4? (a) 3107 (b) 3115 (c) 3108 (d) 3109
  29. 29.Which is the greatest: 0.011, 0.388, 0.4, 0.48? (a) 0.011 (b) 0.388 (c) 0.4 (d) 0.48
  30. 30.If 6 pens cost ₹78, how much do 10 pens cost? (a) ₹82 (b) ₹780 (c) ₹143 (d) ₹130
  31. 31.The simple interest on ₹1000 for 4 years is ₹80. What is the rate per year? (a) 8% (b) 1% (c) 3% (d) 2%
  32. 32.If 18 April is a Monday, what day of the week is 6 May? (a) Saturday (b) Friday (c) Sunday (d) Thursday
  33. 33.If 9 kites cost ₹198, how much do 6 kites cost? (a) ₹1188 (b) ₹195 (c) ₹132 (d) ₹154
  34. 34.1.31 + 3.8 = ? (a) 5.21 (b) 1.69 (c) 5.01 (d) 5.11
  35. 35.What is the average of 65, 62, 59, 43, 51 and 38? (a) 52 (b) 55 (c) 53 (d) 54
  36. 36.Every pair follows the same rule: 3 : 27, 5 : 125, 6 : 216. What is 4 : ? (a) 36 (b) 28 (c) 64 (d) 34
  37. 37.Every pair follows the same rule: 2 : 1, 3 : 6, 7 : 46. What is 4 : ? (a) 12 (b) 16 (c) 13 (d) 14
  38. 38.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 240 sq cm (c) 62 sq cm (d) 220 sq cm
  39. 39.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 35 (b) 75 (c) 20 (d) 21
  40. 40.If 5 pens cost ₹25, how much do 8 pens cost? (a) ₹45 (b) ₹200 (c) ₹28 (d) ₹40

Answer key

  1. 56 sq cm
  2. 7.31
  3. Monday
  4. 12.92
  5. 40 cm
  6. 7 days
  7. 43
  8. 67
  9. 25 sq cm
  10. 16
  11. 128
  12. 71
  13. ₹160
  14. ₹660
  15. 40%
  16. 11
  17. 6
  18. 3
  19. 0.29
  20. 28 cm
  21. 66 sq cm
  22. 13
  23. 0.033
  24. 7
  25. 10.83
  26. 4
  27. ₹322
  28. 3108
  29. 0.48
  30. ₹130
  31. 2%
  32. Friday
  33. ₹132
  34. 5.11
  35. 53
  36. 64
  37. 13
  38. 220 sq cm
  39. 20
  40. ₹40

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