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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 596 · 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 square garden has an area of 961 square m. How long is each side (in m)?
  2. 2.Use a² − b² = (a + b)(a − b) to find 63² − 13².
  3. 3.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  4. 4.What is the value of 5⁶ × 5⁻⁶? =
  5. 5.What is 65²? =
  6. 6.Write 1.3 × 10⁻² as a decimal. =
  7. 7.What is the value of 2⁶ × 2⁻⁴? =
  8. 8.The diagonals of a rhombus are 10 cm and 8 cm. What is its area (in square cm)?
  9. 9.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  10. 10.The sum of three consecutive whole numbers is 117. What is the largest of them?
  11. 11.A father is 36 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  12. 12.Write (7⁵)⁵ as a single power 7ⁿ. What is n?
  13. 13.What is the value of 9⁴? =
  14. 14.Solve: 4t + 17 = 2t + 39. What is t?
  15. 15.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  16. 16.What amount will ₹53200 grow to in 2 years at 5% per year compound interest (in ₹)?
  17. 17.Use (a + b)(a − b) = a² − b² to find 22 × 18.
  18. 18.Write (7²)⁴ as a single power 7ⁿ. What is n?
  19. 19.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.What is the value of 3⁴ × 3⁻¹? =
  21. 21.What is ∛1331? =
  22. 22.What is the value of 7⁵? =
  23. 23.Use (a − b)² = a² − 2ab + b² to find 88².
  24. 24.A cuboid is 11 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
  25. 25.What is 4³? =
  26. 26.A cuboid is 5 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
  27. 27.Use (a + b)(a − b) = a² − b² to find 103 × 97.
  28. 28.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  29. 29.What is ∛15625? =
  30. 30.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  31. 31.Which of these is a perfect square? (a) 1243 (b) 1225 (c) 1256
  32. 32.Use (a + b)(a − b) = a² − b² to find 53 × 47.
  33. 33.Write 75,00,000 in standard form as 7.5 × 10ⁿ. What is n?
  34. 34.A town has 8900 people. The population grows by 20% every year. What will the population be after 2 years?
  35. 35.Write 7.7 × 10⁻¹ as a decimal. =
  36. 36.What is the value of 7⁴? =
  37. 37.How many whole numbers lie between 21² and 22²?
  38. 38.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  39. 39.What amount will ₹47500 grow to in 2 years at 8% per year compound interest (in ₹)?
  40. 40.What is the value of 3² × 3⁻⁵? =

Answer key

  1. 31
  2. 3800
  3. 9
  4. 1
  5. 4225
  6. 0.013
  7. 4
  8. 40
  9. 64
  10. 40
  11. 5
  12. 25
  13. 6561
  14. 11
  15. 3
  16. 58653
  17. 396
  18. 8
  19. 8
  20. 27
  21. 11
  22. 16807
  23. 7744
  24. 374
  25. 64
  26. 366
  27. 9991
  28. 12
  29. 25
  30. 6
  31. 1225
  32. 2491
  33. 6
  34. 12816
  35. 0.77
  36. 2401
  37. 42
  38. 20
  39. 55404
  40. 1/27

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