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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 705 · 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.What is ∛1728? =
  2. 2.What is ∛15625? =
  3. 3.A trapezium has parallel sides of 12 cm and 25 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  4. 4.A cuboid is 10 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
  5. 5.What amount will ₹36100 grow to in 2 years at 10% per year compound interest (in ₹)?
  6. 6.Which of these is a perfect square? (a) 811 (b) 784 (c) 787
  7. 7.Use (a + b)² = a² + 2ab + b² to find 57².
  8. 8.What is the value of 3⁻² (as a fraction)? =
  9. 9.Use a² − b² = (a + b)(a − b) to find 44² − 30².
  10. 10.Write 65,00,000 in standard form as 6.5 × 10ⁿ. What is n?
  11. 11.Find the compound interest on ₹2900 at 25% per year for 1 year, compounded every year (in ₹).
  12. 12.What is √900? =
  13. 13.A trapezium has parallel sides of 7 cm and 17 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  14. 14.Find the value of x² − 2xy + y² when x = 9 and y = 2.
  15. 15.The sum of two consecutive whole numbers is 17. What is the largest of them?
  16. 16.What amount will ₹56000 grow to in 2 years at 5% per year compound interest (in ₹)?
  17. 17.Use (a − b)² = a² − 2ab + b² to find 81².
  18. 18.What is the difference between the compound interest and the simple interest on ₹4000 at 15% per year for 2 years (in ₹)?
  19. 19.What is ∛125? =
  20. 20.Which of these is a perfect cube? (a) 2084 (b) 1728 (c) 1756
  21. 21.A father is 6 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  22. 22.If a + b = 3 and ab = 2, what is a² + b²?
  23. 23.Write 5¹⁵ ÷ 5⁸ as a single power 5ⁿ. What is n?
  24. 24.What is the value of 3¹ × 3⁻³? =
  25. 25.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  26. 26.Use (a − b)² = a² − 2ab + b² to find 38².
  27. 27.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  28. 28.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  29. 29.What is the value of 2¹⁵? =
  30. 30.Use a² − b² = (a + b)(a − b) to find 72² − 21².
  31. 31.What is the value of 2⁷? =
  32. 32.Solve: 5(m − 3) = m + 5. What is m?
  33. 33.A room is 6 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  34. 34.Which of these is a perfect square? (a) 1525 (b) 1580 (c) 1521
  35. 35.What is 85²? =
  36. 36.Write 1.1 × 10⁻⁴ as a decimal. =
  37. 37.What is the value of 2⁻⁷ (as a fraction)? =
  38. 38.Use a² − b² = (a + b)(a − b) to find 33² − 15².
  39. 39.A room is 10 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  40. 40.The length of a rectangle is 12 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?

Answer key

  1. 12
  2. 25
  3. 111
  4. 340
  5. 43681
  6. 784
  7. 3249
  8. 1/9
  9. 1036
  10. 6
  11. 725
  12. 30
  13. 240
  14. 49
  15. 9
  16. 61740
  17. 6561
  18. 90
  19. 5
  20. 1728
  21. 2
  22. 5
  23. 7
  24. 1/9
  25. 3
  26. 1444
  27. 2
  28. 2166
  29. 32768
  30. 4743
  31. 128
  32. 5
  33. 96
  34. 1521
  35. 7225
  36. 0.00011
  37. 1/128
  38. 864
  39. 140
  40. 17

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