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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 626 · 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.Solve: 3p + 2 = p + 14. What is p?
  2. 2.The length of a rectangle is 10 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  3. 3.What is 3³? =
  4. 4.A cuboid is 5 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
  5. 5.Use (a + b)(a − b) = a² − b² to find 38 × 22.
  6. 6.What is 73²? =
  7. 7.Find the value of x² + 2xy + y² when x = 15 and y = 2.
  8. 8.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  9. 9.Write 6¹⁴ ÷ 6⁸ as a single power 6ⁿ. What is n?
  10. 10.Which of these is a perfect cube? (a) 618 (b) 588 (c) 512
  11. 11.A cuboid is 5 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
  12. 12.What is 95²? =
  13. 13.What is the value of 3² × 3⁻²? =
  14. 14.Use (a + b)² = a² + 2ab + b² to find 22².
  15. 15.Find the compound interest on ₹33800 at 20% per year for 2 years, compounded every year (in ₹).
  16. 16.What is the value of 2⁻⁵ (as a fraction)? =
  17. 17.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  18. 18.8.8 × 10³ =
  19. 19.What is the value of 2⁻⁷ (as a fraction)? =
  20. 20.A trapezium has an area of 27 square cm. Its parallel sides are 7 cm and 2 cm. What is the distance between them (in cm)?
  21. 21.A trapezium has an area of 196 square cm. Its parallel sides are 23 cm and 26 cm. What is the distance between them (in cm)?
  22. 22.What is the difference between the compound interest and the simple interest on ₹51200 at 20% per year for 2 years (in ₹)?
  23. 23.Use (a − b)² = a² − 2ab + b² to find 74².
  24. 24.What is ∛1000? =
  25. 25.How many whole numbers lie between 18² and 19²?
  26. 26.Find the compound interest on ₹16500 at 5% per year for 1 year, compounded every year (in ₹).
  27. 27.Find the compound interest on ₹12500 at 12% per year for 2 years, compounded every year (in ₹).
  28. 28.How many whole numbers lie between 8² and 9²?
  29. 29.What is the difference between the compound interest and the simple interest on ₹50000 at 12% per year for 2 years (in ₹)?
  30. 30.What is ∛27? =
  31. 31.Solve: 6(n − 1) = n + 14. What is n?
  32. 32.Use (a + b)² = a² + 2ab + b² to find 82².
  33. 33.What is ∛64? =
  34. 34.What is ∛729? =
  35. 35.What is ∛4096? =
  36. 36.What is √1369? =
  37. 37.Use (a − b)² = a² − 2ab + b² to find 85².
  38. 38.What is the difference between the compound interest and the simple interest on ₹16000 at 25% per year for 2 years (in ₹)?
  39. 39.Solve: 4x + 20 = x + 32. What is x?
  40. 40.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?

Answer key

  1. 6
  2. 20
  3. 27
  4. 148
  5. 836
  6. 5329
  7. 289
  8. 3
  9. 6
  10. 512
  11. 142
  12. 9025
  13. 1
  14. 484
  15. 14872
  16. 1/32
  17. 5
  18. 8800
  19. 1/128
  20. 6
  21. 8
  22. 2048
  23. 5476
  24. 10
  25. 36
  26. 825
  27. 3180
  28. 16
  29. 720
  30. 3
  31. 4
  32. 6724
  33. 4
  34. 9
  35. 16
  36. 37
  37. 7225
  38. 1000
  39. 4
  40. 13

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