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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 572 · 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.What is the difference between the compound interest and the simple interest on ₹2500 at 12% per year for 2 years (in ₹)?
  2. 2.What is the value of (1/2)⁻¹? =
  3. 3.What is √4624? =
  4. 4.Use (a + b)(a − b) = a² − b² to find 48 × 32.
  5. 5.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  6. 6.Solve: t/5 + t/3 = 56. What is t?
  7. 7.Use (a + b)(a − b) = a² − b² to find 54 × 46.
  8. 8.Write 3,600 in standard form as 3.6 × 10ⁿ. What is n?
  9. 9.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  10. 10.A town has 8800 people. The population grows by 25% every year. What will the population be after 2 years?
  11. 11.What amount will ₹10400 grow to in 2 years at 5% per year compound interest (in ₹)?
  12. 12.What is the value of 2⁵ × 2⁻⁶? =
  13. 13.What is the value of 2⁻¹ (as a fraction)? =
  14. 14.A cuboid is 12 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
  15. 15.Solve: 6(t − 1) = 4t + 18. What is t?
  16. 16.What is ∛9261? =
  17. 17.Write 2.8 × 10⁻³ as a decimal. =
  18. 18.Use (a − b)² = a² − 2ab + b² to find 22².
  19. 19.Use a² − b² = (a + b)(a − b) to find 54² − 13².
  20. 20.The diagonals of a rhombus are 10 cm and 7 cm. What is its area (in square cm)?
  21. 21.The diagonals of a rhombus are 30 cm and 6 cm. What is its area (in square cm)?
  22. 22.Which of these is a perfect square? (a) 938 (b) 900 (c) 910
  23. 23.The length of a rectangle is 5 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  24. 24.The sum of four consecutive whole numbers is 46. What is the smallest of them?
  25. 25.Solve: 9t + 2 = 4t + 32. What is t?
  26. 26.7 × 10² =
  27. 27.What is the difference between the compound interest and the simple interest on ₹57500 at 12% per year for 2 years (in ₹)?
  28. 28.A square garden has an area of 1369 square m. How long is each side (in m)?
  29. 29.Solve: y/5 + y/2 = 35. What is y?
  30. 30.What is √9604? =
  31. 31.Find the compound interest on ₹15600 at 5% per year for 2 years, compounded every year (in ₹).
  32. 32.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  33. 33.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  34. 34.Write (3³)⁹ as a single power 3ⁿ. What is n?
  35. 35.A cuboid is 3 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  36. 36.A town has 37300 people. The population grows by 8% every year. What will the population be after 1 year?
  37. 37.A town has 21700 people. The population grows by 10% every year. What will the population be after 2 years?
  38. 38.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  39. 39.Use (a + b)(a − b) = a² − b² to find 22 × 18.
  40. 40.What is the value of (1/3)⁻¹? =

Answer key

  1. 36
  2. 2
  3. 68
  4. 1536
  5. 1176
  6. 105
  7. 2484
  8. 3
  9. 2400
  10. 13750
  11. 11466
  12. 1/2
  13. 1/2
  14. 222
  15. 12
  16. 21
  17. 0.0028
  18. 484
  19. 2747
  20. 35
  21. 90
  22. 900
  23. 25
  24. 10
  25. 6
  26. 700
  27. 828
  28. 37
  29. 50
  30. 98
  31. 1599
  32. 20
  33. 2
  34. 27
  35. 164
  36. 40284
  37. 26257
  38. 16
  39. 396
  40. 3

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