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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 456 · 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 trapezium has an area of 64 square cm. Its parallel sides are 5 cm and 27 cm. What is the distance between them (in cm)?
  2. 2.Write 3⁵ × 3⁹ as a single power 3ⁿ. What is n?
  3. 3.Which of these is a perfect square? (a) 247 (b) 225 (c) 252
  4. 4.What is √1600? =
  5. 5.What is 24²? =
  6. 6.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  7. 7.What is the value of 2⁵ × 2⁻¹? =
  8. 8.The length of a rectangle is 7 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  9. 9.What is 26²? =
  10. 10.A scooter is worth ₹32500. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
  11. 11.Use a² − b² = (a + b)(a − b) to find 37² − 32².
  12. 12.What is the difference between the compound interest and the simple interest on ₹42700 at 20% per year for 2 years (in ₹)?
  13. 13.Which of these is a perfect cube? (a) 3316 (b) 2884 (c) 2744
  14. 14.Use (a − b)² = a² − 2ab + b² to find 75².
  15. 15.What is the value of 5⁶? =
  16. 16.What amount will ₹35000 grow to in 2 years at 8% per year compound interest (in ₹)?
  17. 17.What is ∛15625? =
  18. 18.Solve: 5t + 1 = 3t + 9. What is t?
  19. 19.What amount will ₹50100 grow to in 1 year at 4% per year compound interest (in ₹)?
  20. 20.What is 14³? =
  21. 21.The sum of four consecutive whole numbers is 106. What is the smallest of them?
  22. 22.What is √2209? =
  23. 23.Write (7⁶)⁵ as a single power 7ⁿ. What is n?
  24. 24.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  25. 25.Solve: 8m + 10 = 6m + 20. What is m?
  26. 26.What is √4096? =
  27. 27.The length of a rectangle is 13 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  28. 28.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  29. 29.Find the value of x² − 2xy + y² when x = 7 and y = 2.
  30. 30.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  31. 31.Find the compound interest on ₹26700 at 10% per year for 2 years, compounded every year (in ₹).
  32. 32.What is the difference between the compound interest and the simple interest on ₹10000 at 4% per year for 2 years (in ₹)?
  33. 33.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  34. 34.Solve: 4(x − 2) = 3x + 4. What is x?
  35. 35.Solve: 6(p − 1) = 3p + 39. What is p?
  36. 36.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  37. 37.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
  38. 38.A room is 11 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  39. 39.Write 7⁸ ÷ 7⁵ as a single power 7ⁿ. What is n?
  40. 40.Use a² − b² = (a + b)(a − b) to find 79² − 36².

Answer key

  1. 4
  2. 14
  3. 225
  4. 40
  5. 576
  6. 5
  7. 16
  8. 16
  9. 676
  10. 16640
  11. 345
  12. 1708
  13. 2744
  14. 5625
  15. 15625
  16. 40824
  17. 25
  18. 4
  19. 52104
  20. 2744
  21. 25
  22. 47
  23. 30
  24. 12
  25. 5
  26. 64
  27. 3
  28. 2
  29. 25
  30. 17
  31. 5607
  32. 16
  33. 4
  34. 12
  35. 15
  36. 3
  37. 25
  38. 140
  39. 3
  40. 4945

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