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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 538 · 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.Write (2⁹)³ as a single power 2ⁿ. What is n?
  2. 2.Solve: 5x + 6 = 4x + 9. What is x?
  3. 3.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  4. 4.Which of these is a perfect square? (a) 729 (b) 782 (c) 730
  5. 5.What is 41²? =
  6. 6.A room is 7 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  7. 7.What is ∛729? =
  8. 8.Solve: 7p + 3 = p + 27. What is p?
  9. 9.What is ∛2197? =
  10. 10.Solve: x/4 + x/5 = 72. What is x?
  11. 11.What is the value of 7²? =
  12. 12.What is the value of 5¹ × 5⁻³? =
  13. 13.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  14. 14.What is the value of 2⁻⁸ (as a fraction)? =
  15. 15.What is √529? =
  16. 16.Find the value of x² + 2xy + y² when x = 13 and y = 7.
  17. 17.Which of these is a perfect cube? (a) 68 (b) 77 (c) 64
  18. 18.A trapezium has parallel sides of 14 cm and 4 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  19. 19.What is the difference between the compound interest and the simple interest on ₹15000 at 8% per year for 2 years (in ₹)?
  20. 20.What is 8³? =
  21. 21.What is √2601? =
  22. 22.What is 26²? =
  23. 23.Write (7⁴)⁹ as a single power 7ⁿ. What is n?
  24. 24.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
  25. 25.If a + b = 7 and ab = 10, what is a² + b²?
  26. 26.What is √6400? =
  27. 27.A cuboid is 9 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
  28. 28.What is 12³? =
  29. 29.A father is 5 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  30. 30.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  31. 31.Solve: 4(y − 4) = 2y + 8. What is y?
  32. 32.Write (9²)⁷ as a single power 9ⁿ. What is n?
  33. 33.How many whole numbers lie between 20² and 21²?
  34. 34.Find the compound interest on ₹55000 at 4% per year for 2 years, compounded every year (in ₹).
  35. 35.The sum of three consecutive whole numbers is 33. What is the smallest of them?
  36. 36.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  37. 37.What amount will ₹30000 grow to in 1 year at 12% per year compound interest (in ₹)?
  38. 38.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  39. 39.What is the value of 4³? =
  40. 40.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?

Answer key

  1. 27
  2. 3
  3. 9
  4. 729
  5. 1681
  6. 88
  7. 9
  8. 4
  9. 13
  10. 160
  11. 49
  12. 1/25
  13. 216
  14. 1/256
  15. 23
  16. 400
  17. 64
  18. 108
  19. 96
  20. 512
  21. 51
  22. 676
  23. 36
  24. 841
  25. 29
  26. 80
  27. 246
  28. 1728
  29. 4
  30. 3174
  31. 12
  32. 14
  33. 40
  34. 4488
  35. 10
  36. 13
  37. 33600
  38. 25
  39. 64
  40. 900

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