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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 513 · 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 difference between the compound interest and the simple interest on ₹47500 at 12% per year for 2 years (in ₹)?
  2. 2.What is the smallest whole number by which 504 must be divided to get a perfect square?
  3. 3.What is the value of 5² × 5⁻⁴? =
  4. 4.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  5. 5.Solve: 6m + 4 = 3m + 28. What is m?
  6. 6.A cuboid is 3 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
  7. 7.Which of these is a perfect square? (a) 1296 (b) 1336 (c) 1313
  8. 8.Use (a − b)² = a² − 2ab + b² to find 25².
  9. 9.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  10. 10.What is 41²? =
  11. 11.Which of these is a perfect square? (a) 176 (b) 184 (c) 169
  12. 12.Use (a + b)² = a² + 2ab + b² to find 69².
  13. 13.The sum of two consecutive whole numbers is 103. What is the smallest of them?
  14. 14.The diagonals of a rhombus are 16 cm and 23 cm. What is its area (in square cm)?
  15. 15.Find the compound interest on ₹45800 at 10% per year for 1 year, compounded every year (in ₹).
  16. 16.Which of these is a perfect cube? (a) 2596 (b) 2488 (c) 2197
  17. 17.A trapezium has parallel sides of 28 cm and 24 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  18. 18.Which of these is a perfect square? (a) 1444 (b) 1512 (c) 1455
  19. 19.Use (a + b)(a − b) = a² − b² to find 82 × 78.
  20. 20.A square garden has an area of 3481 square m. How long is each side (in m)?
  21. 21.What is the value of (1/5)⁻¹? =
  22. 22.Write 6.6 × 10⁻³ as a decimal. =
  23. 23.What is the value of 3¹ × 3⁻⁶? =
  24. 24.Solve: n/3 + n/6 = 12. What is n?
  25. 25.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
  26. 26.What is 13³? =
  27. 27.What is the value of 4⁻² (as a fraction)? =
  28. 28.A trapezium has an area of 34 square cm. Its parallel sides are 26 cm and 8 cm. What is the distance between them (in cm)?
  29. 29.What is the value of 5³ × 5⁻¹? =
  30. 30.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  31. 31.Use (a − b)² = a² − 2ab + b² to find 87².
  32. 32.2.6 × 10² =
  33. 33.What is ∛3375? =
  34. 34.If a + b = 12 and ab = 32, what is a² + b²?
  35. 35.Write 42,000 in standard form as 4.2 × 10ⁿ. What is n?
  36. 36.A square garden has an area of 784 square m. How long is each side (in m)?
  37. 37.Write (2⁸)⁵ as a single power 2ⁿ. What is n?
  38. 38.A town has 24700 people. The population grows by 10% every year. What will the population be after 2 years?
  39. 39.Solve: p/3 + p/4 = 56. What is p?
  40. 40.What is the difference between the compound interest and the simple interest on ₹60000 at 5% per year for 2 years (in ₹)?

Answer key

  1. 684
  2. 14
  3. 1/25
  4. 7
  5. 8
  6. 234
  7. 1296
  8. 625
  9. 5
  10. 1681
  11. 169
  12. 4761
  13. 51
  14. 184
  15. 4580
  16. 2197
  17. 338
  18. 1444
  19. 6396
  20. 59
  21. 5
  22. 0.0066
  23. 1/243
  24. 24
  25. 225
  26. 2197
  27. 1/16
  28. 2
  29. 25
  30. 10
  31. 7569
  32. 260
  33. 15
  34. 80
  35. 4
  36. 28
  37. 40
  38. 29887
  39. 96
  40. 150

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