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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 897 · 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.Find the compound interest on ₹10000 at 5% per year for 2 years, compounded every year (in ₹).
  2. 2.1.4 × 10⁷ =
  3. 3.What is 32²? =
  4. 4.What is the difference between the compound interest and the simple interest on ₹7500 at 4% per year for 2 years (in ₹)?
  5. 5.Solve: 7t + 15 = 4t + 18. What is t?
  6. 6.What is the value of (5/7)⁻¹? =
  7. 7.A scooter is worth ₹53200. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
  8. 8.Use (a + b)(a − b) = a² − b² to find 91 × 89.
  9. 9.A cuboid is 11 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
  10. 10.Use (a + b)(a − b) = a² − b² to find 36 × 24.
  11. 11.The diagonals of a rhombus are 18 cm and 6 cm. What is its area (in square cm)?
  12. 12.The sum of three consecutive whole numbers is 162. What is the smallest of them?
  13. 13.What is ∛125? =
  14. 14.What is the value of 2¹ × 2⁻²? =
  15. 15.The sum of three consecutive whole numbers is 159. What is the largest of them?
  16. 16.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  17. 17.Solve: 5p + 19 = p + 75. What is p?
  18. 18.Use (a + b)² = a² + 2ab + b² to find 59².
  19. 19.A trapezium has an area of 133 square cm. Its parallel sides are 10 cm and 4 cm. What is the distance between them (in cm)?
  20. 20.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  21. 21.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.Write 9.3 × 10⁻⁴ as a decimal. =
  23. 23.What is ∛216? =
  24. 24.A square garden has an area of 121 square m. How long is each side (in m)?
  25. 25.A trapezium has parallel sides of 22 cm and 2 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  26. 26.Use (a − b)² = a² − 2ab + b² to find 89².
  27. 27.Solve: 4y + 14 = 3y + 16. What is y?
  28. 28.Use (a + b)(a − b) = a² − b² to find 109 × 91.
  29. 29.What is 14²? =
  30. 30.A trapezium has parallel sides of 30 cm and 4 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  31. 31.Use a² − b² = (a + b)(a − b) to find 86² − 45².
  32. 32.A cuboid is 7 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
  33. 33.Solve: x/2 + x/3 = 5. What is x?
  34. 34.What amount will ₹10500 grow to in 3 years at 20% per year compound interest (in ₹)?
  35. 35.Solve: 6(m − 4) = 5m + 6. What is m?
  36. 36.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  37. 37.Write (9²)⁹ as a single power 9ⁿ. What is n?
  38. 38.A cuboid is 5 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
  39. 39.What is √1521? =
  40. 40.What is the value of 2⁻¹ (as a fraction)? =

Answer key

  1. 1025
  2. 14000000
  3. 1024
  4. 12
  5. 1
  6. 7/5
  7. 48013
  8. 8099
  9. 478
  10. 864
  11. 54
  12. 53
  13. 5
  14. 1/2
  15. 54
  16. 18
  17. 14
  18. 3481
  19. 19
  20. 3
  21. 8
  22. 0.00093
  23. 6
  24. 11
  25. 72
  26. 7921
  27. 2
  28. 9919
  29. 196
  30. 272
  31. 5371
  32. 412
  33. 6
  34. 18144
  35. 30
  36. 2
  37. 18
  38. 288
  39. 39
  40. 1/2

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