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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 133 · 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.Solve: 4t + 18 = 3t + 28. What is t?
  2. 2.Write 8,800 in standard form as 8.8 × 10ⁿ. What is n?
  3. 3.What is the difference between the compound interest and the simple interest on ₹10000 at 8% per year for 2 years (in ₹)?
  4. 4.A square garden has an area of 3481 square m. How long is each side (in m)?
  5. 5.Use (a − b)² = a² − 2ab + b² to find 29².
  6. 6.Find the compound interest on ₹18000 at 5% per year for 2 years, compounded every year (in ₹).
  7. 7.What is the value of (3/5)⁻²? =
  8. 8.Find the value of x² + 2xy + y² when x = 10 and y = 6.
  9. 9.Use a² − b² = (a + b)(a − b) to find 78² − 47².
  10. 10.What is 7³? =
  11. 11.Which of these is a perfect cube? (a) 1267 (b) 1000 (c) 1225
  12. 12.Solve: 5(n − 1) = 2n + 25. What is n?
  13. 13.What is 20²? =
  14. 14.What is the value of 5³ × 5⁻¹? =
  15. 15.What amount will ₹2000 grow to in 3 years at 10% per year compound interest (in ₹)?
  16. 16.What is 84²? =
  17. 17.What is 35²? =
  18. 18.Use (a − b)² = a² − 2ab + b² to find 33².
  19. 19.6 × 10⁴ =
  20. 20.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
  21. 21.Find the compound interest on ₹4900 at 20% per year for 1 year, compounded every year (in ₹).
  22. 22.What is the value of 3²? =
  23. 23.The diagonals of a rhombus are 12 cm and 20 cm. What is its area (in square cm)?
  24. 24.A cuboid is 9 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
  25. 25.Write 25,00,000 in standard form as 2.5 × 10ⁿ. What is n?
  26. 26.A trapezium has parallel sides of 9 cm and 16 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  27. 27.What is the value of 10² × 10⁻¹? =
  28. 28.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
  29. 29.Write 4⁶ ÷ 4³ as a single power 4ⁿ. What is n?
  30. 30.Find the value of x² − 2xy + y² when x = 3 and y = 2.
  31. 31.Use (a + b)(a − b) = a² − b² to find 39 × 21.
  32. 32.Find the compound interest on ₹48400 at 4% per year for 1 year, compounded every year (in ₹).
  33. 33.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  34. 34.Solve: 3x + 8 = 2x + 20. What is x?
  35. 35.4.1 × 10² =
  36. 36.What is 68²? =
  37. 37.Find the compound interest on ₹39600 at 15% per year for 1 year, compounded every year (in ₹).
  38. 38.Solve: 4y + 14 = y + 23. What is y?
  39. 39.Use (a + b)² = a² + 2ab + b² to find 51².
  40. 40.Use (a − b)² = a² − 2ab + b² to find 47².

Answer key

  1. 10
  2. 3
  3. 64
  4. 59
  5. 841
  6. 1845
  7. 25/9
  8. 256
  9. 3875
  10. 343
  11. 1000
  12. 10
  13. 400
  14. 25
  15. 2662
  16. 7056
  17. 1225
  18. 1089
  19. 60000
  20. 676
  21. 980
  22. 9
  23. 120
  24. 478
  25. 6
  26. 50
  27. 10
  28. 144
  29. 3
  30. 1
  31. 819
  32. 1936
  33. 5
  34. 12
  35. 410
  36. 4624
  37. 5940
  38. 3
  39. 2601
  40. 2209

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