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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 646 · 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 father is 15 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  2. 2.Find the compound interest on ₹27300 at 10% per year for 2 years, compounded every year (in ₹).
  3. 3.2 × 10² =
  4. 4.A room is 12 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  5. 5.Solve: x/2 + x/6 = 24. What is x?
  6. 6.Use (a + b)² = a² + 2ab + b² to find 39².
  7. 7.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  8. 8.Write 3⁴ ÷ 3² as a single power 3ⁿ. What is n?
  9. 9.Use (a + b)² = a² + 2ab + b² to find 35².
  10. 10.Write 3⁴ × 3⁹ as a single power 3ⁿ. What is n?
  11. 11.What is ∛8000? =
  12. 12.The length of a rectangle is 1 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  13. 13.A trapezium has parallel sides of 4 cm and 21 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  14. 14.Write 2⁹ × 2⁵ as a single power 2ⁿ. What is n?
  15. 15.Solve: 9x + 20 = 6x + 65. What is x?
  16. 16.What is the difference between the compound interest and the simple interest on ₹12500 at 12% per year for 2 years (in ₹)?
  17. 17.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  18. 18.Find the compound interest on ₹38500 at 25% per year for 1 year, compounded every year (in ₹).
  19. 19.What is the value of 5¹ × 5⁻¹? =
  20. 20.What is the value of 3³ × 3⁻³? =
  21. 21.Use (a − b)² = a² − 2ab + b² to find 47².
  22. 22.A trapezium has parallel sides of 21 cm and 10 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  23. 23.A room is 6 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  24. 24.The length of a rectangle is 11 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  25. 25.Solve: 6x + 18 = x + 33. What is x?
  26. 26.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
  27. 27.What is 38²? =
  28. 28.What is the value of (1/6)⁻²? =
  29. 29.8.7 × 10⁵ =
  30. 30.How many whole numbers lie between 46² and 47²?
  31. 31.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  32. 32.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  33. 33.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  34. 34.Use (a − b)² = a² − 2ab + b² to find 85².
  35. 35.Use (a − b)² = a² − 2ab + b² to find 92².
  36. 36.Find the compound interest on ₹6000 at 10% per year for 3 years, compounded every year (in ₹).
  37. 37.Use a² − b² = (a + b)(a − b) to find 57² − 49².
  38. 38.What is ∛27? =
  39. 39.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  40. 40.What amount will ₹37500 grow to in 2 years at 12% per year compound interest (in ₹)?

Answer key

  1. 8
  2. 5733
  3. 200
  4. 126
  5. 36
  6. 1521
  7. 13
  8. 2
  9. 1225
  10. 13
  11. 20
  12. 26
  13. 100
  14. 14
  15. 15
  16. 180
  17. 20
  18. 9625
  19. 1
  20. 1
  21. 2209
  22. 279
  23. 72
  24. 16
  25. 3
  26. 784
  27. 1444
  28. 36
  29. 870000
  30. 92
  31. 150
  32. 3
  33. 2
  34. 7225
  35. 8464
  36. 1986
  37. 848
  38. 3
  39. 3
  40. 47040

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