← Class 8 final maths test lesson New set →

Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 470 · 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 the value of 4⁶? =
  2. 2.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  3. 3.Use (a − b)² = a² − 2ab + b² to find 84².
  4. 4.Find the compound interest on ₹34400 at 5% per year for 2 years, compounded every year (in ₹).
  5. 5.If a − b = 1 and ab = 6, what is a² + b²?
  6. 6.What is the value of 2¹⁶? =
  7. 7.Find the value of x² − 2xy + y² when x = 5 and y = 3.
  8. 8.A room is 4 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  9. 9.Find the value of x² − 2xy + y² when x = 9 and y = 1.
  10. 10.What is 3³? =
  11. 11.What is the value of (3/8)⁻¹? =
  12. 12.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  13. 13.Find the compound interest on ₹14000 at 10% per year for 2 years, compounded every year (in ₹).
  14. 14.What is ∛343? =
  15. 15.Use a² − b² = (a + b)(a − b) to find 94² − 51².
  16. 16.The length of a rectangle is 1 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  17. 17.What is 51²? =
  18. 18.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  19. 19.The length of a rectangle is 5 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  20. 20.Write 4.3 × 10⁻¹ as a decimal. =
  21. 21.Use (a + b)² = a² + 2ab + b² to find 28².
  22. 22.The sum of two consecutive whole numbers is 55. What is the largest of them?
  23. 23.A square garden has an area of 3600 square m. How long is each side (in m)?
  24. 24.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  25. 25.Write 9¹⁴ ÷ 9⁹ as a single power 9ⁿ. What is n?
  26. 26.Solve: m/2 + m/6 = 28. What is m?
  27. 27.A scooter is worth ₹14000. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
  28. 28.What is 40²? =
  29. 29.Find the value of x² − 2xy + y² when x = 13 and y = 3.
  30. 30.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  31. 31.The sum of four consecutive whole numbers is 210. What is the smallest of them?
  32. 32.Solve: n/5 + n/3 = 32. What is n?
  33. 33.What is ∛64? =
  34. 34.Use (a + b)² = a² + 2ab + b² to find 45².
  35. 35.Find the compound interest on ₹5100 at 20% per year for 1 year, compounded every year (in ₹).
  36. 36.What is the value of 3² × 3⁻⁵? =
  37. 37.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  38. 38.A cuboid is 12 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
  39. 39.What amount will ₹12600 grow to in 1 year at 8% per year compound interest (in ₹)?
  40. 40.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?

Answer key

  1. 4096
  2. 4
  3. 7056
  4. 3526
  5. 13
  6. 65536
  7. 4
  8. 54
  9. 64
  10. 27
  11. 8/3
  12. 5
  13. 2940
  14. 7
  15. 6235
  16. 18
  17. 2601
  18. 15
  19. 18
  20. 0.43
  21. 784
  22. 28
  23. 60
  24. 49
  25. 5
  26. 42
  27. 13300
  28. 1600
  29. 100
  30. 2
  31. 51
  32. 60
  33. 4
  34. 2025
  35. 1020
  36. 1/27
  37. 3
  38. 360
  39. 13608
  40. 4

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