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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 331 · 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.Use (a + b)² = a² + 2ab + b² to find 23².
  2. 2.Write 2.7 × 10⁻¹ as a decimal. =
  3. 3.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  4. 4.Use (a + b)(a − b) = a² − b² to find 107 × 93.
  5. 5.Solve: 7y + 15 = 2y + 45. What is y?
  6. 6.What is the difference between the compound interest and the simple interest on ₹5600 at 15% per year for 2 years (in ₹)?
  7. 7.Write 2.8 × 10⁻¹ as a decimal. =
  8. 8.If a − b = 2 and ab = 15, what is a² + b²?
  9. 9.What is ∛6859? =
  10. 10.Find the value of x² + 2xy + y² when x = 7 and y = 3.
  11. 11.Use (a + b)(a − b) = a² − b² to find 68 × 52.
  12. 12.What is the difference between the compound interest and the simple interest on ₹15300 at 20% per year for 2 years (in ₹)?
  13. 13.The length of a rectangle is 13 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  14. 14.Find the compound interest on ₹2500 at 12% per year for 2 years, compounded every year (in ₹).
  15. 15.Find the compound interest on ₹7500 at 4% per year for 2 years, compounded every year (in ₹).
  16. 16.Which of these is a perfect cube? (a) 2360 (b) 2434 (c) 2197
  17. 17.Find the compound interest on ₹5000 at 10% per year for 3 years, compounded every year (in ₹).
  18. 18.What is the value of 5⁵ × 5⁻¹? =
  19. 19.What is 2³? =
  20. 20.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  21. 21.A cuboid is 4 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
  22. 22.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
  23. 23.A square garden has an area of 3136 square m. How long is each side (in m)?
  24. 24.A father is 16 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  25. 25.The length of a rectangle is 14 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  26. 26.A room is 8 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  27. 27.A trapezium has an area of 207 square cm. Its parallel sides are 12 cm and 11 cm. What is the distance between them (in cm)?
  28. 28.Use (a − b)² = a² − 2ab + b² to find 48².
  29. 29.Solve: p/2 + p/3 = 30. What is p?
  30. 30.Solve: 6y + 14 = 4y + 44. What is y?
  31. 31.Solve: 6(n − 5) = 3n + 21. What is n?
  32. 32.Solve: 9x + 9 = 8x + 16. What is x?
  33. 33.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  34. 34.What amount will ₹32000 grow to in 3 years at 15% per year compound interest (in ₹)?
  35. 35.Write (3²)⁵ as a single power 3ⁿ. What is n?
  36. 36.A father is 7 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  37. 37.Write 3¹⁶ ÷ 3⁷ as a single power 3ⁿ. What is n?
  38. 38.Solve: 9n + 3 = 7n + 5. What is n?
  39. 39.Solve: 5(n − 3) = 2n + 9. What is n?
  40. 40.What is the value of 2⁶ × 2⁻³? =

Answer key

  1. 529
  2. 0.27
  3. 216
  4. 9951
  5. 6
  6. 126
  7. 0.28
  8. 34
  9. 19
  10. 100
  11. 3536
  12. 612
  13. 15
  14. 636
  15. 612
  16. 2197
  17. 1655
  18. 625
  19. 8
  20. 2
  21. 304
  22. 729
  23. 56
  24. 6
  25. 17
  26. 78
  27. 18
  28. 2304
  29. 36
  30. 15
  31. 17
  32. 7
  33. 216
  34. 48668
  35. 10
  36. 3
  37. 9
  38. 1
  39. 8
  40. 8

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