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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 319 · 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.Use (a − b)² = a² − 2ab + b² to find 76².
  2. 2.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  3. 3.A trapezium has parallel sides of 7 cm and 16 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  4. 4.What is 16³? =
  5. 5.What is the difference between the compound interest and the simple interest on ₹3200 at 15% per year for 2 years (in ₹)?
  6. 6.Use (a + b)(a − b) = a² − b² to find 33 × 27.
  7. 7.Solve: 4x + 7 = 2x + 17. What is x?
  8. 8.Use a² − b² = (a + b)(a − b) to find 66² − 54².
  9. 9.The length of a rectangle is 10 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  10. 10.What is √1024? =
  11. 11.The sum of two consecutive whole numbers is 29. What is the smallest of them?
  12. 12.What is ∛12167? =
  13. 13.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  14. 14.The sum of four consecutive whole numbers is 194. What is the smallest of them?
  15. 15.The length of a rectangle is 8 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  16. 16.Write 5³ × 5⁵ as a single power 5ⁿ. What is n?
  17. 17.1.9 × 10⁶ =
  18. 18.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  19. 19.What is 17²? =
  20. 20.Which of these is a perfect square? (a) 831 (b) 784 (c) 785
  21. 21.A father is 12 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  22. 22.What is √324? =
  23. 23.Use (a − b)² = a² − 2ab + b² to find 66².
  24. 24.What is the value of 3² × 3⁻²? =
  25. 25.Use a² − b² = (a + b)(a − b) to find 57² − 42².
  26. 26.What is the value of 5²? =
  27. 27.How many whole numbers lie between 47² and 48²?
  28. 28.What is the difference between the compound interest and the simple interest on ₹7500 at 8% per year for 2 years (in ₹)?
  29. 29.What is 17³? =
  30. 30.A trapezium has an area of 144 square cm. Its parallel sides are 11 cm and 7 cm. What is the distance between them (in cm)?
  31. 31.Use a² − b² = (a + b)(a − b) to find 86² − 40².
  32. 32.Use (a + b)(a − b) = a² − b² to find 66 × 54.
  33. 33.What is 63²? =
  34. 34.The sum of four consecutive whole numbers is 206. What is the smallest of them?
  35. 35.Find the value of x² − y² when x = 7 and y = 1.
  36. 36.A father is 57 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?
  37. 37.A father is 16 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  38. 38.What is the value of 10⁵ × 10⁻⁶? =
  39. 39.What is √2601? =
  40. 40.What is the value of 2⁴ × 2⁻⁵? =

Answer key

  1. 5776
  2. 18
  3. 92
  4. 4096
  5. 72
  6. 891
  7. 5
  8. 1440
  9. 19
  10. 32
  11. 14
  12. 23
  13. 4
  14. 47
  15. 7
  16. 8
  17. 1900000
  18. 18
  19. 289
  20. 784
  21. 3
  22. 18
  23. 4356
  24. 1
  25. 1485
  26. 25
  27. 94
  28. 48
  29. 4913
  30. 16
  31. 5796
  32. 3564
  33. 3969
  34. 50
  35. 48
  36. 12
  37. 9
  38. 1/10
  39. 51
  40. 1/2

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