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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 39 · 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.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  2. 2.Solve: 6(x − 4) = 3x + 21. What is x?
  3. 3.4.7 × 10⁵ =
  4. 4.The length of a rectangle is 13 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  5. 5.Use (a − b)² = a² − 2ab + b² to find 99².
  6. 6.Write 3.8 × 10⁻¹ as a decimal. =
  7. 7.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  8. 8.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  9. 9.Write (8²)⁴ as a single power 8ⁿ. What is n?
  10. 10.What is 10³? =
  11. 11.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
  12. 12.What is √5929? =
  13. 13.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  14. 14.A cuboid is 14 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
  15. 15.Which of these is a perfect square? (a) 117 (b) 101 (c) 100
  16. 16.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  17. 17.How many whole numbers lie between 14² and 15²?
  18. 18.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  19. 19.A cuboid is 8 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
  20. 20.Find the compound interest on ₹52500 at 25% per year for 1 year, compounded every year (in ₹).
  21. 21.Write 9.3 × 10⁻¹ as a decimal. =
  22. 22.Find the compound interest on ₹53000 at 20% per year for 3 years, compounded every year (in ₹).
  23. 23.Write 5.7 × 10⁻³ as a decimal. =
  24. 24.The sum of three consecutive whole numbers is 72. What is the smallest of them?
  25. 25.If a − b = 2 and ab = 8, what is a² + b²?
  26. 26.What is 16²? =
  27. 27.Find the compound interest on ₹43600 at 20% per year for 2 years, compounded every year (in ₹).
  28. 28.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
  29. 29.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  30. 30.What is √1600? =
  31. 31.What amount will ₹18000 grow to in 3 years at 20% per year compound interest (in ₹)?
  32. 32.What is the value of 3⁵ × 3⁻⁵? =
  33. 33.Which of these is a perfect square? (a) 454 (b) 446 (c) 441
  34. 34.Which of these is a perfect cube? (a) 3415 (b) 3375 (c) 3835
  35. 35.Solve: 6(t − 5) = t + 25. What is t?
  36. 36.A room is 5 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  37. 37.What is the value of 3¹ × 3⁻²? =
  38. 38.Use a² − b² = (a + b)(a − b) to find 60² − 37².
  39. 39.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?
  40. 40.Which of these is a perfect cube? (a) 545 (b) 636 (c) 512

Answer key

  1. 16
  2. 15
  3. 470000
  4. 8
  5. 9801
  6. 0.38
  7. 17
  8. 216
  9. 8
  10. 1000
  11. 441
  12. 77
  13. 3
  14. 708
  15. 100
  16. 8
  17. 28
  18. 2
  19. 392
  20. 13125
  21. 0.93
  22. 38584
  23. 0.0057
  24. 23
  25. 20
  26. 256
  27. 19184
  28. 576
  29. 5
  30. 40
  31. 31104
  32. 1
  33. 441
  34. 3375
  35. 11
  36. 90
  37. 1/3
  38. 2231
  39. 4
  40. 512

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