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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 44 · 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 12 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  2. 2.What is 57²? =
  3. 3.What is √8464? =
  4. 4.A trapezium has parallel sides of 25 cm and 12 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  5. 5.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  6. 6.Find the compound interest on ₹51500 at 20% per year for 3 years, compounded every year (in ₹).
  7. 7.Solve: 6p + 13 = 4p + 15. What is p?
  8. 8.Which of these is a perfect cube? (a) 27 (b) 32 (c) 33
  9. 9.Which of these is a perfect square? (a) 632 (b) 625 (c) 637
  10. 10.Solve: 8n + 10 = 5n + 16. What is n?
  11. 11.If a − b = 1 and ab = 56, what is a² + b²?
  12. 12.Which of these is a perfect square? (a) 329 (b) 335 (c) 324
  13. 13.What is the value of 10⁻¹ (as a fraction)? =
  14. 14.5.5 × 10⁷ =
  15. 15.Use (a − b)² = a² − 2ab + b² to find 72².
  16. 16.What amount will ₹33600 grow to in 3 years at 25% per year compound interest (in ₹)?
  17. 17.What is the value of 10⁶ × 10⁻²? =
  18. 18.Use a² − b² = (a + b)(a − b) to find 45² − 15².
  19. 19.A cuboid is 7 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
  20. 20.What is 77²? =
  21. 21.What is ∛343? =
  22. 22.What is 7³? =
  23. 23.Solve: x/6 + x/5 = 44. What is x?
  24. 24.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  25. 25.What is the value of 5² × 5⁻²? =
  26. 26.The sum of two consecutive whole numbers is 17. What is the smallest of them?
  27. 27.What is 27²? =
  28. 28.The length of a rectangle is 9 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  29. 29.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  30. 30.2.7 × 10³ =
  31. 31.Which of these is a perfect cube? (a) 512 (b) 519 (c) 513
  32. 32.Write 8.4 × 10⁻³ as a decimal. =
  33. 33.Use (a + b)² = a² + 2ab + b² to find 83².
  34. 34.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  35. 35.Use (a + b)² = a² + 2ab + b² to find 57².
  36. 36.Solve: 5m + 11 = 3m + 33. What is m?
  37. 37.What is the difference between the compound interest and the simple interest on ₹45200 at 25% per year for 2 years (in ₹)?
  38. 38.Write 1.3 × 10⁻⁴ as a decimal. =
  39. 39.The sum of three consecutive whole numbers is 165. What is the smallest of them?
  40. 40.Which of these is a perfect square? (a) 760 (b) 754 (c) 729

Answer key

  1. 25
  2. 3249
  3. 92
  4. 259
  5. 2166
  6. 37492
  7. 1
  8. 27
  9. 625
  10. 2
  11. 113
  12. 324
  13. 1/10
  14. 55000000
  15. 5184
  16. 65625
  17. 10000
  18. 1800
  19. 442
  20. 5929
  21. 7
  22. 343
  23. 120
  24. 64
  25. 1
  26. 8
  27. 729
  28. 27
  29. 6
  30. 2700
  31. 512
  32. 0.0084
  33. 6889
  34. 7
  35. 3249
  36. 11
  37. 2825
  38. 0.00013
  39. 54
  40. 729

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