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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 41 · 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.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  2. 2.A trapezium has parallel sides of 8 cm and 27 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  3. 3.Which of these is a perfect cube? (a) 3261 (b) 2814 (c) 2744
  4. 4.A scooter is worth ₹56000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
  5. 5.Write 8⁴ × 8⁵ as a single power 8ⁿ. What is n?
  6. 6.What is ∛125? =
  7. 7.Solve: 5(m − 4) = 4m + 8. What is m?
  8. 8.Write (4²)⁶ as a single power 4ⁿ. What is n?
  9. 9.Find the compound interest on ₹7600 at 5% per year for 2 years, compounded every year (in ₹).
  10. 10.Write 2² × 2² as a single power 2ⁿ. What is n?
  11. 11.Use (a + b)(a − b) = a² − b² to find 23 × 17.
  12. 12.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  13. 13.Solve: 4(m − 5) = 2m + 26. What is m?
  14. 14.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  15. 15.What is ∛13824? =
  16. 16.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  17. 17.Which of these is a perfect cube? (a) 2098 (b) 2039 (c) 1728
  18. 18.Solve: 3t + 12 = 2t + 18. What is t?
  19. 19.Write 3.4 × 10⁻¹ as a decimal. =
  20. 20.What is √7921? =
  21. 21.4.8 × 10⁷ =
  22. 22.What is the value of (7/8)⁻²? =
  23. 23.A square garden has an area of 784 square m. How long is each side (in m)?
  24. 24.Use a² − b² = (a + b)(a − b) to find 21² − 12².
  25. 25.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  26. 26.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
  27. 27.Write 8⁷ × 8² as a single power 8ⁿ. What is n?
  28. 28.What is ∛3375? =
  29. 29.A trapezium has an area of 217 square cm. Its parallel sides are 18 cm and 13 cm. What is the distance between them (in cm)?
  30. 30.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
  31. 31.What amount will ₹43800 grow to in 2 years at 20% per year compound interest (in ₹)?
  32. 32.9.3 × 10³ =
  33. 33.A trapezium has an area of 11 square cm. Its parallel sides are 6 cm and 5 cm. What is the distance between them (in cm)?
  34. 34.The length of a rectangle is 1 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
  35. 35.What is 80²? =
  36. 36.Find the compound interest on ₹12400 at 5% per year for 2 years, compounded every year (in ₹).
  37. 37.Use (a − b)² = a² − 2ab + b² to find 28².
  38. 38.What is ∛729? =
  39. 39.The sum of three consecutive whole numbers is 78. What is the smallest of them?
  40. 40.The length of a rectangle is 3 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?

Answer key

  1. 384
  2. 210
  3. 2744
  4. 48013
  5. 9
  6. 5
  7. 28
  8. 12
  9. 779
  10. 4
  11. 391
  12. 4
  13. 23
  14. 5
  15. 24
  16. 20
  17. 1728
  18. 6
  19. 0.34
  20. 89
  21. 48000000
  22. 64/49
  23. 28
  24. 297
  25. 54
  26. 256
  27. 9
  28. 15
  29. 14
  30. 841
  31. 63072
  32. 9300
  33. 2
  34. 3
  35. 6400
  36. 1271
  37. 784
  38. 9
  39. 25
  40. 28

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