← Class 8 final maths test lesson New set →

Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 874 · 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 room is 11 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  2. 2.Solve: 3(y − 2) = 2y + 10. What is y?
  3. 3.Solve: 4(n − 5) = 2n + 18. What is n?
  4. 4.The length of a rectangle is 15 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  5. 5.Find the compound interest on ₹46100 at 10% per year for 2 years, compounded every year (in ₹).
  6. 6.How many whole numbers lie between 35² and 36²?
  7. 7.What is the value of (1/8)⁻¹? =
  8. 8.Solve: 9x + 5 = 4x + 30. What is x?
  9. 9.Use (a + b)(a − b) = a² − b² to find 31 × 29.
  10. 10.What is 10³? =
  11. 11.A father is 17 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  12. 12.Which of these is a perfect cube? (a) 1868 (b) 1728 (c) 2097
  13. 13.Which of these is a perfect square? (a) 954 (b) 900 (c) 920
  14. 14.What is 4³? =
  15. 15.What is ∛27? =
  16. 16.What is the difference between the compound interest and the simple interest on ₹33200 at 15% per year for 2 years (in ₹)?
  17. 17.Use (a + b)(a − b) = a² − b² to find 76 × 64.
  18. 18.Which of these is a perfect cube? (a) 1133 (b) 1085 (c) 1000
  19. 19.If a − b = 5 and ab = 84, what is a² + b²?
  20. 20.Solve: 3(x − 4) = x + 18. What is x?
  21. 21.The diagonals of a rhombus are 6 cm and 10 cm. What is its area (in square cm)?
  22. 22.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.What is the value of (8/9)⁻¹? =
  24. 24.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  25. 25.What is the smallest whole number by which 147 must be multiplied to get a perfect square?
  26. 26.Use (a + b)(a − b) = a² − b² to find 75 × 65.
  27. 27.A trapezium has an area of 88 square cm. Its parallel sides are 8 cm and 14 cm. What is the distance between them (in cm)?
  28. 28.A square garden has an area of 3600 square m. How long is each side (in m)?
  29. 29.The sum of three consecutive whole numbers is 27. What is the smallest of them?
  30. 30.A father is 6 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  31. 31.Find the compound interest on ₹8000 at 10% per year for 3 years, compounded every year (in ₹).
  32. 32.What is ∛729? =
  33. 33.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  35. 35.Which of these is a perfect square? (a) 756 (b) 729 (c) 761
  36. 36.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  37. 37.Use a² − b² = (a + b)(a − b) to find 85² − 20².
  38. 38.What amount will ₹26800 grow to in 2 years at 15% per year compound interest (in ₹)?
  39. 39.Solve: 8x + 14 = 4x + 70. What is x?
  40. 40.Find the compound interest on ₹14000 at 12% per year for 1 year, compounded every year (in ₹).

Answer key

  1. 108
  2. 16
  3. 19
  4. 18
  5. 9681
  6. 70
  7. 8
  8. 5
  9. 899
  10. 1000
  11. 12
  12. 1728
  13. 900
  14. 64
  15. 3
  16. 747
  17. 4864
  18. 1000
  19. 193
  20. 15
  21. 30
  22. 64
  23. 9/8
  24. 8
  25. 3
  26. 4875
  27. 8
  28. 60
  29. 8
  30. 2
  31. 2648
  32. 9
  33. 64
  34. 216
  35. 729
  36. 12
  37. 6825
  38. 35443
  39. 14
  40. 1680

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets