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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 974 · 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.The length of a rectangle is 13 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  2. 2.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  3. 3.Solve: 6n + 16 = 4n + 18. What is n?
  4. 4.If a − b = 6 and ab = 27, what is a² + b²?
  5. 5.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  6. 6.Solve: y/3 + y/2 = 40. What is y?
  7. 7.Solve: 3(t − 1) = 2t + 1. What is t?
  8. 8.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  9. 9.8.8 × 10⁷ =
  10. 10.The diagonals of a rhombus are 10 cm and 10 cm. What is its area (in square cm)?
  11. 11.A cuboid is 6 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
  12. 12.A room is 7 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  13. 13.What is the difference between the compound interest and the simple interest on ₹42000 at 5% per year for 2 years (in ₹)?
  14. 14.Write 6.8 × 10⁻¹ as a decimal. =
  15. 15.What is 27²? =
  16. 16.A scooter is worth ₹12800. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
  17. 17.Write 210 in standard form as 2.1 × 10ⁿ. What is n?
  18. 18.The length of a rectangle is 1 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  19. 19.Solve: 5(x − 1) = 3x + 9. What is x?
  20. 20.The length of a rectangle is 11 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  21. 21.Which of these is a perfect square? (a) 501 (b) 485 (c) 484
  22. 22.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.If a − b = 4 and ab = 96, what is a² + b²?
  24. 24.Solve: 3t + 13 = 2t + 16. What is t?
  25. 25.What is 80²? =
  26. 26.Solve: 3(t − 5) = t + 9. What is t?
  27. 27.What is √4624? =
  28. 28.What is ∛12167? =
  29. 29.9.1 × 10³ =
  30. 30.The diagonals of a rhombus are 6 cm and 8 cm. What is its area (in square cm)?
  31. 31.A town has 44800 people. The population grows by 25% every year. What will the population be after 2 years?
  32. 32.If a + b = 18 and ab = 72, what is a² + b²?
  33. 33.Which of these is a perfect cube? (a) 46 (b) 29 (c) 27
  34. 34.Write 2.2 × 10⁻¹ as a decimal. =
  35. 35.A trapezium has parallel sides of 25 cm and 6 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  36. 36.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  37. 37.What is 65²? =
  38. 38.What is the smallest whole number by which 162 must be multiplied to get a perfect square?
  39. 39.Find the compound interest on ₹20800 at 25% per year for 3 years, compounded every year (in ₹).
  40. 40.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?

Answer key

  1. 9
  2. 3456
  3. 1
  4. 90
  5. 3750
  6. 48
  7. 4
  8. 5
  9. 88000000
  10. 50
  11. 432
  12. 84
  13. 105
  14. 0.68
  15. 729
  16. 5400
  17. 2
  18. 16
  19. 7
  20. 20
  21. 484
  22. 27
  23. 208
  24. 3
  25. 6400
  26. 12
  27. 68
  28. 23
  29. 9100
  30. 24
  31. 70000
  32. 180
  33. 27
  34. 0.22
  35. 279
  36. 4
  37. 4225
  38. 2
  39. 19825
  40. 17

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