← Class 8 final maths test lesson New set →

Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 200 · 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.Solve: 6(x − 4) = 4x + 24. What is x?
  2. 2.What is ∛8? =
  3. 3.Use a² − b² = (a + b)(a − b) to find 39² − 6².
  4. 4.What is the value of (8/9)⁻¹? =
  5. 5.Solve: x/3 + x/5 = 24. What is x?
  6. 6.The length of a rectangle is 4 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  7. 7.Find the compound interest on ₹37200 at 5% per year for 2 years, compounded every year (in ₹).
  8. 8.A trapezium has an area of 16 square cm. Its parallel sides are 13 cm and 3 cm. What is the distance between them (in cm)?
  9. 9.What is the value of 5⁴? =
  10. 10.What is 60²? =
  11. 11.What amount will ₹60000 grow to in 2 years at 8% per year compound interest (in ₹)?
  12. 12.Use (a − b)² = a² − 2ab + b² to find 61².
  13. 13.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  14. 14.The diagonals of a rhombus are 22 cm and 7 cm. What is its area (in square cm)?
  15. 15.A trapezium has an area of 252 square cm. Its parallel sides are 7 cm and 21 cm. What is the distance between them (in cm)?
  16. 16.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
  17. 17.Solve: 6(y − 3) = y + 12. What is y?
  18. 18.What is the value of 4⁷? =
  19. 19.Use (a + b)² = a² + 2ab + b² to find 33².
  20. 20.Use (a − b)² = a² − 2ab + b² to find 63².
  21. 21.What is 28²? =
  22. 22.What is ∛64? =
  23. 23.Find the compound interest on ₹41100 at 20% per year for 1 year, compounded every year (in ₹).
  24. 24.Which of these is a perfect square? (a) 799 (b) 819 (c) 784
  25. 25.A father is 33 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  26. 26.The length of a rectangle is 14 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  27. 27.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  28. 28.Write 9⁷ × 9⁹ as a single power 9ⁿ. What is n?
  29. 29.How many whole numbers lie between 41² and 42²?
  30. 30.Find the compound interest on ₹51900 at 8% per year for 1 year, compounded every year (in ₹).
  31. 31.What is the smallest whole number by which 224 must be divided to get a perfect square?
  32. 32.What is the value of 6⁻² (as a fraction)? =
  33. 33.Write 6.3 × 10⁻¹ as a decimal. =
  34. 34.Find the compound interest on ₹48000 at 5% per year for 3 years, compounded every year (in ₹).
  35. 35.What is the value of 2⁵ × 2⁻⁴? =
  36. 36.What is 3³? =
  37. 37.Use (a − b)² = a² − 2ab + b² to find 15².
  38. 38.A town has 40400 people. The population grows by 8% every year. What will the population be after 1 year?
  39. 39.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  40. 40.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?

Answer key

  1. 24
  2. 2
  3. 1485
  4. 9/8
  5. 45
  6. 6
  7. 3813
  8. 2
  9. 625
  10. 3600
  11. 69984
  12. 3721
  13. 11
  14. 77
  15. 18
  16. 441
  17. 6
  18. 16384
  19. 1089
  20. 3969
  21. 784
  22. 4
  23. 8220
  24. 784
  25. 10
  26. 21
  27. 25
  28. 16
  29. 82
  30. 4152
  31. 14
  32. 1/36
  33. 0.63
  34. 7566
  35. 2
  36. 27
  37. 225
  38. 43632
  39. 49
  40. 18

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