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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 309 · 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 trapezium has parallel sides of 14 cm and 5 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  2. 2.A trapezium has parallel sides of 17 cm and 2 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  3. 3.What is 3³? =
  4. 4.Write 2.5 × 10⁻¹ as a decimal. =
  5. 5.Find the compound interest on ₹17200 at 4% per year for 1 year, compounded every year (in ₹).
  6. 6.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
  7. 7.Write 5.1 × 10⁻³ as a decimal. =
  8. 8.Solve: x/5 + x/3 = 40. What is x?
  9. 9.What is the value of 2⁻³ (as a fraction)? =
  10. 10.A cuboid is 10 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
  11. 11.Solve: 4(x − 3) = 3x + 2. What is x?
  12. 12.The diagonals of a rhombus are 18 cm and 10 cm. What is its area (in square cm)?
  13. 13.What is the smallest whole number by which 540 must be divided to get a perfect square?
  14. 14.A father is 28 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  15. 15.What is 51²? =
  16. 16.What amount will ₹32000 grow to in 1 year at 10% per year compound interest (in ₹)?
  17. 17.What is 20³? =
  18. 18.Write (2⁴)⁸ as a single power 2ⁿ. What is n?
  19. 19.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  20. 20.How many whole numbers lie between 11² and 12²?
  21. 21.What is the value of 5³? =
  22. 22.What amount will ₹25000 grow to in 2 years at 4% per year compound interest (in ₹)?
  23. 23.Solve: 8m + 20 = 6m + 48. What is m?
  24. 24.A cuboid is 11 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  25. 25.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  26. 26.Use (a + b)² = a² + 2ab + b² to find 88².
  27. 27.What is ∛8000? =
  28. 28.Use (a − b)² = a² − 2ab + b² to find 72².
  29. 29.Write 2.4 × 10⁻⁴ as a decimal. =
  30. 30.Write 3.6 × 10⁻⁴ as a decimal. =
  31. 31.Use (a + b)(a − b) = a² − b² to find 103 × 97.
  32. 32.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  33. 33.Use (a + b)² = a² + 2ab + b² to find 12².
  34. 34.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
  35. 35.What is the value of 8⁻² (as a fraction)? =
  36. 36.Find the value of x² − 2xy + y² when x = 15 and y = 6.
  37. 37.The diagonals of a rhombus are 26 cm and 21 cm. What is its area (in square cm)?
  38. 38.Which of these is a perfect square? (a) 1252 (b) 1225 (c) 1284
  39. 39.Use (a + b)(a − b) = a² − b² to find 66 × 54.
  40. 40.Write (9²)⁵ as a single power 9ⁿ. What is n?

Answer key

  1. 38
  2. 57
  3. 27
  4. 0.25
  5. 688
  6. 25
  7. 0.0051
  8. 75
  9. 1/8
  10. 232
  11. 14
  12. 90
  13. 15
  14. 9
  15. 2601
  16. 35200
  17. 8000
  18. 32
  19. 16
  20. 22
  21. 125
  22. 27040
  23. 14
  24. 278
  25. 27
  26. 7744
  27. 20
  28. 5184
  29. 0.00024
  30. 0.00036
  31. 9991
  32. 2
  33. 144
  34. 784
  35. 1/64
  36. 81
  37. 273
  38. 1225
  39. 3564
  40. 10

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