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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 749 · 40 sums
TalentJR

The method (Read, plan, check): Find the type of question first: power, square or cube, equation, identity, area or interest? Use the method from that lesson, step by step. Check: square or cube your root back, put equation answers back in, and work interest year by year.

NameDateTime takenScore ___ / 40
  1. 1.A trapezium has parallel sides of 4 cm and 24 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  2. 2.The diagonals of a rhombus are 24 cm and 20 cm. What is its area (in square cm)?
  3. 3.Solve: 7n + 16 = 6n + 29. What is n?
  4. 4.What is 18²? =
  5. 5.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  6. 6.Find the compound interest on ₹30000 at 4% per year for 2 years, compounded every year (in ₹).
  7. 7.What is 63²? =
  8. 8.Solve: 9p + 5 = 7p + 29. What is p?
  9. 9.What is the value of (1/8)⁻¹? =
  10. 10.What is the value of (4/7)⁻¹? =
  11. 11.Which of these is a perfect cube? (a) 3537 (b) 3375 (c) 4045
  12. 12.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  13. 13.Use (a + b)² = a² + 2ab + b² to find 25².
  14. 14.Solve: x/2 + x/3 = 15. What is x?
  15. 15.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  16. 16.Solve: p/3 + p/2 = 40. What is p?
  17. 17.What is √8836? =
  18. 18.The length of a rectangle is 12 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  19. 19.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  20. 20.Which of these is a perfect cube? (a) 512 (b) 561 (c) 555
  21. 21.What is the value of 2⁻⁵ (as a fraction)? =
  22. 22.What is the value of 2⁹? =
  23. 23.A town has 16000 people. The population grows by 10% every year. What will the population be after 3 years?
  24. 24.Find the compound interest on ₹15000 at 10% per year for 1 year, compounded every year (in ₹).
  25. 25.Solve: 5y + 19 = 3y + 47. What is y?
  26. 26.A cuboid is 3 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
  27. 27.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  28. 28.Find the value of x² − y² when x = 9 and y = 2.
  29. 29.Which of these is a perfect square? (a) 729 (b) 731 (c) 765
  30. 30.What is 53²? =
  31. 31.Use (a − b)² = a² − 2ab + b² to find 83².
  32. 32.What is the value of 4⁻² (as a fraction)? =
  33. 33.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  34. 34.A trapezium has an area of 192 square cm. Its parallel sides are 24 cm and 8 cm. What is the distance between them (in cm)?
  35. 35.A trapezium has an area of 51 square cm. Its parallel sides are 10 cm and 24 cm. What is the distance between them (in cm)?
  36. 36.A scooter is worth ₹41600. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
  37. 37.Find the compound interest on ₹56000 at 15% per year for 3 years, compounded every year (in ₹).
  38. 38.A cuboid is 4 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  39. 39.Solve: 6(p − 3) = 2p + 2. What is p?
  40. 40.What is √1089? =

Answer key

  1. 224
  2. 240
  3. 13
  4. 324
  5. 14
  6. 2448
  7. 3969
  8. 12
  9. 8
  10. 7/4
  11. 3375
  12. 9
  13. 625
  14. 18
  15. 3
  16. 48
  17. 94
  18. 7
  19. 216
  20. 512
  21. 1/32
  22. 512
  23. 21296
  24. 1500
  25. 14
  26. 108
  27. 6
  28. 77
  29. 729
  30. 2809
  31. 6889
  32. 1/16
  33. 9
  34. 12
  35. 3
  36. 37544
  37. 29169
  38. 160
  39. 5
  40. 33

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