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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 286 · 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.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  2. 2.What is √576? =
  3. 3.What is the difference between the compound interest and the simple interest on ₹35600 at 15% per year for 2 years (in ₹)?
  4. 4.What is 87²? =
  5. 5.A trapezium has parallel sides of 4 cm and 8 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  6. 6.What is √484? =
  7. 7.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
  8. 8.What is √5041? =
  9. 9.Find the compound interest on ₹46300 at 10% per year for 1 year, compounded every year (in ₹).
  10. 10.The sum of two consecutive whole numbers is 33. What is the smallest of them?
  11. 11.Use (a + b)(a − b) = a² − b² to find 95 × 85.
  12. 12.8.7 × 10⁵ =
  13. 13.What is the value of 4⁻³ (as a fraction)? =
  14. 14.Use (a + b)(a − b) = a² − b² to find 38 × 22.
  15. 15.Find the compound interest on ₹60000 at 4% per year for 2 years, compounded every year (in ₹).
  16. 16.A trapezium has an area of 129 square cm. Its parallel sides are 13 cm and 30 cm. What is the distance between them (in cm)?
  17. 17.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  18. 18.Write 8⁹ × 8³ as a single power 8ⁿ. What is n?
  19. 19.Solve: 9m + 11 = 6m + 32. What is m?
  20. 20.Use (a + b)(a − b) = a² − b² to find 109 × 91.
  21. 21.A trapezium has an area of 51 square cm. Its parallel sides are 4 cm and 13 cm. What is the distance between them (in cm)?
  22. 22.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  23. 23.What is 15³? =
  24. 24.Write 1.6 × 10⁻¹ as a decimal. =
  25. 25.What is √144? =
  26. 26.Write 1.6 × 10⁻³ as a decimal. =
  27. 27.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  28. 28.What is 9³? =
  29. 29.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  30. 30.Write 3.9 × 10⁻² as a decimal. =
  31. 31.What is 41²? =
  32. 32.If a + b = 4 and ab = 3, what is a² + b²?
  33. 33.What is the smallest whole number by which 375 must be divided to get a perfect square?
  34. 34.A trapezium has parallel sides of 9 cm and 20 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  35. 35.A father is 27 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  36. 36.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  37. 37.Write 2⁴ × 2⁷ as a single power 2ⁿ. What is n?
  38. 38.The diagonals of a rhombus are 8 cm and 10 cm. What is its area (in square cm)?
  39. 39.Write 6⁹ ÷ 6³ as a single power 6ⁿ. What is n?
  40. 40.What amount will ₹45200 grow to in 2 years at 25% per year compound interest (in ₹)?

Answer key

  1. 24
  2. 24
  3. 801
  4. 7569
  5. 54
  6. 22
  7. 169
  8. 71
  9. 4630
  10. 16
  11. 8075
  12. 870000
  13. 1/64
  14. 836
  15. 4896
  16. 6
  17. 5
  18. 12
  19. 7
  20. 9919
  21. 6
  22. 27
  23. 3375
  24. 0.16
  25. 12
  26. 0.0016
  27. 3
  28. 729
  29. 9
  30. 0.039
  31. 1681
  32. 10
  33. 15
  34. 29
  35. 3
  36. 16
  37. 11
  38. 40
  39. 6
  40. 70625

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