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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 82 · 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.Which of these is a perfect square? (a) 226 (b) 225 (c) 246
  2. 2.Write 9.4 × 10⁻¹ as a decimal. =
  3. 3.What is ∛512? =
  4. 4.The diagonals of a rhombus are 28 cm and 4 cm. What is its area (in square cm)?
  5. 5.Find the value of x² − y² when x = 7 and y = 6.
  6. 6.Solve: n/3 + n/4 = 21. What is n?
  7. 7.The diagonals of a rhombus are 30 cm and 9 cm. What is its area (in square cm)?
  8. 8.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  9. 9.What is 13³? =
  10. 10.If a − b = 2 and ab = 120, what is a² + b²?
  11. 11.Find the value of x² + 2xy + y² when x = 7 and y = 1.
  12. 12.Use (a − b)² = a² − 2ab + b² to find 83².
  13. 13.Write 5.5 × 10⁻³ as a decimal. =
  14. 14.What is 61²? =
  15. 15.Find the compound interest on ₹31600 at 5% per year for 2 years, compounded every year (in ₹).
  16. 16.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.Solve: 4(y − 5) = 3y + 8. What is y?
  18. 18.Use a² − b² = (a + b)(a − b) to find 89² − 78².
  19. 19.Find the compound interest on ₹40100 at 8% per year for 1 year, compounded every year (in ₹).
  20. 20.Find the value of x² − y² when x = 9 and y = 5.
  21. 21.What is the smallest whole number by which 176 must be divided to get a perfect square?
  22. 22.What is 32²? =
  23. 23.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  24. 24.What is the value of 2³ × 2⁻⁵? =
  25. 25.What is the value of 2⁴? =
  26. 26.Solve: 7p + 20 = 6p + 29. What is p?
  27. 27.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  28. 28.Write 3⁷ × 3² as a single power 3ⁿ. What is n?
  29. 29.Solve: y/3 + y/6 = 21. What is y?
  30. 30.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  31. 31.Write 8¹⁷ ÷ 8⁹ as a single power 8ⁿ. What is n?
  32. 32.Write 76,000 in standard form as 7.6 × 10ⁿ. What is n?
  33. 33.Find the compound interest on ₹54500 at 10% per year for 1 year, compounded every year (in ₹).
  34. 34.Use a² − b² = (a + b)(a − b) to find 33² − 14².
  35. 35.What is the value of 6²? =
  36. 36.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  37. 37.The length of a rectangle is 1 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  38. 38.What is the difference between the compound interest and the simple interest on ₹50600 at 10% per year for 2 years (in ₹)?
  39. 39.Which of these is a perfect square? (a) 256 (b) 263 (c) 275
  40. 40.Write 2.4 × 10⁻¹ as a decimal. =

Answer key

  1. 225
  2. 0.94
  3. 8
  4. 56
  5. 13
  6. 36
  7. 135
  8. 49
  9. 2197
  10. 244
  11. 64
  12. 6889
  13. 0.0055
  14. 3721
  15. 3239
  16. 8
  17. 28
  18. 1837
  19. 3208
  20. 56
  21. 11
  22. 1024
  23. 6
  24. 1/4
  25. 16
  26. 9
  27. 17
  28. 9
  29. 42
  30. 2
  31. 8
  32. 4
  33. 5450
  34. 893
  35. 36
  36. 9
  37. 6
  38. 506
  39. 256
  40. 0.24

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