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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 592 · 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.A scooter is worth ₹53600. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
  2. 2.What is 20³? =
  3. 3.A room is 7 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  4. 4.The sum of three consecutive whole numbers is 174. What is the smallest of them?
  5. 5.What is the value of 2⁵? =
  6. 6.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  7. 7.Which of these is a perfect cube? (a) 92 (b) 90 (c) 64
  8. 8.Solve: 5x + 1 = 4x + 12. What is x?
  9. 9.What is the difference between the compound interest and the simple interest on ₹22500 at 8% per year for 2 years (in ₹)?
  10. 10.Solve: m/4 + m/2 = 24. What is m?
  11. 11.Write 5³ × 5⁸ as a single power 5ⁿ. What is n?
  12. 12.A scooter is worth ₹53500. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
  13. 13.If a − b = 1 and ab = 2, what is a² + b²?
  14. 14.Use (a − b)² = a² − 2ab + b² to find 99².
  15. 15.Solve: n/6 + n/5 = 66. What is n?
  16. 16.Which of these is a perfect cube? (a) 53 (b) 27 (c) 50
  17. 17.Use (a + b)(a − b) = a² − b² to find 79 × 61.
  18. 18.What is 7³? =
  19. 19.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  20. 20.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  21. 21.What is 11²? =
  22. 22.What is √961? =
  23. 23.Which of these is a perfect cube? (a) 2792 (b) 2744 (c) 2902
  24. 24.If a − b = 7 and ab = 18, what is a² + b²?
  25. 25.Solve: p/3 + p/5 = 32. What is p?
  26. 26.What is √5625? =
  27. 27.Write 8⁴ × 8³ as a single power 8ⁿ. What is n?
  28. 28.Use (a − b)² = a² − 2ab + b² to find 92².
  29. 29.Write 4 × 10⁻¹ as a decimal. =
  30. 30.Write 96,000 in standard form as 9.6 × 10ⁿ. What is n?
  31. 31.What is ∛4096? =
  32. 32.The length of a rectangle is 5 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  33. 33.Find the compound interest on ₹21700 at 8% per year for 1 year, compounded every year (in ₹).
  34. 34.What is the value of 10⁻² (as a fraction)? =
  35. 35.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  36. 36.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  37. 37.What amount will ₹35600 grow to in 1 year at 5% per year compound interest (in ₹)?
  38. 38.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  39. 39.Find the compound interest on ₹3900 at 10% per year for 2 years, compounded every year (in ₹).
  40. 40.Which of these is a perfect square? (a) 1468 (b) 1462 (c) 1444

Answer key

  1. 42880
  2. 8000
  3. 170
  4. 57
  5. 32
  6. 150
  7. 64
  8. 11
  9. 144
  10. 32
  11. 11
  12. 34240
  13. 5
  14. 9801
  15. 180
  16. 27
  17. 4819
  18. 343
  19. 216
  20. 3
  21. 121
  22. 31
  23. 2744
  24. 85
  25. 60
  26. 75
  27. 7
  28. 8464
  29. 0.4
  30. 4
  31. 16
  32. 15
  33. 1736
  34. 1/100
  35. 27
  36. 4
  37. 37380
  38. 24
  39. 819
  40. 1444

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