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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 524 · 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 2809 square m. How long is each side (in m)?
  2. 2.Use a² − b² = (a + b)(a − b) to find 91² − 50².
  3. 3.Use a² − b² = (a + b)(a − b) to find 69² − 18².
  4. 4.Which of these is a perfect cube? (a) 2049 (b) 1728 (c) 1919
  5. 5.Write 1.8 × 10⁻⁴ as a decimal. =
  6. 6.Solve: 3m + 9 = 2m + 15. What is m?
  7. 7.Use (a + b)(a − b) = a² − b² to find 92 × 88.
  8. 8.Use (a + b)² = a² + 2ab + b² to find 105².
  9. 9.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  10. 10.What is the value of 10⁵ × 10⁻³? =
  11. 11.How many whole numbers lie between 24² and 25²?
  12. 12.What is the value of 3⁵ × 3⁻⁴? =
  13. 13.What is the value of 2² × 2⁻⁶? =
  14. 14.A cuboid is 14 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  15. 15.What amount will ₹4800 grow to in 3 years at 25% per year compound interest (in ₹)?
  16. 16.Solve: 8t + 4 = 3t + 34. What is t?
  17. 17.The diagonals of a rhombus are 26 cm and 28 cm. What is its area (in square cm)?
  18. 18.What is 19³? =
  19. 19.Solve: 3(n − 2) = n + 8. What is n?
  20. 20.Which of these is a perfect square? (a) 1600 (b) 1626 (c) 1603
  21. 21.Write 7.1 × 10⁻¹ as a decimal. =
  22. 22.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  23. 23.How many whole numbers lie between 6² and 7²?
  24. 24.Use (a + b)(a − b) = a² − b² to find 57 × 43.
  25. 25.Use (a + b)(a − b) = a² − b² to find 24 × 16.
  26. 26.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  27. 27.Use (a + b)² = a² + 2ab + b² to find 71².
  28. 28.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  29. 29.What is the value of 2³ × 2⁻⁴? =
  30. 30.A square garden has an area of 3025 square m. How long is each side (in m)?
  31. 31.If a + b = 3 and ab = 2, what is a² + b²?
  32. 32.How many whole numbers lie between 49² and 50²?
  33. 33.Write (8⁹)⁵ as a single power 8ⁿ. What is n?
  34. 34.What is 69²? =
  35. 35.Which of these is a perfect cube? (a) 2744 (b) 2920 (c) 2859
  36. 36.What is the value of 8³? =
  37. 37.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  38. 38.What is the smallest whole number by which 175 must be multiplied to get a perfect square?
  39. 39.Use (a − b)² = a² − 2ab + b² to find 59².
  40. 40.What is the value of 5³ × 5⁻²? =

Answer key

  1. 53
  2. 5781
  3. 4437
  4. 1728
  5. 0.00018
  6. 6
  7. 8096
  8. 11025
  9. 5
  10. 100
  11. 48
  12. 3
  13. 1/16
  14. 220
  15. 9375
  16. 6
  17. 364
  18. 6859
  19. 7
  20. 1600
  21. 0.71
  22. 8
  23. 12
  24. 2451
  25. 384
  26. 17
  27. 5041
  28. 2166
  29. 1/2
  30. 55
  31. 5
  32. 98
  33. 45
  34. 4761
  35. 2744
  36. 512
  37. 1944
  38. 7
  39. 3481
  40. 5

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