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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 562 · 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 value of 4⁵? =
  2. 2.Use (a − b)² = a² − 2ab + b² to find 32².
  3. 3.Use (a − b)² = a² − 2ab + b² to find 71².
  4. 4.A cuboid is 3 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
  5. 5.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  6. 6.What is √7225? =
  7. 7.What is 11³? =
  8. 8.Use a² − b² = (a + b)(a − b) to find 80² − 73².
  9. 9.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  10. 10.A cuboid is 5 cm long, 10 cm wide and 8 cm high. What is its total surface area (in square cm)?
  11. 11.A room is 7 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  12. 12.Use (a + b)(a − b) = a² − b² to find 27 × 13.
  13. 13.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
  14. 14.What is the value of (7/9)⁻¹? =
  15. 15.Write (7³)⁵ as a single power 7ⁿ. What is n?
  16. 16.Find the compound interest on ₹56000 at 20% per year for 3 years, compounded every year (in ₹).
  17. 17.How many whole numbers lie between 31² and 32²?
  18. 18.A cuboid is 5 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
  19. 19.A father is 26 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  20. 20.What is the difference between the compound interest and the simple interest on ₹40000 at 8% per year for 2 years (in ₹)?
  21. 21.Use (a + b)(a − b) = a² − b² to find 63 × 57.
  22. 22.Solve: 6(p − 2) = 4p + 16. What is p?
  23. 23.Find the compound interest on ₹49800 at 15% per year for 1 year, compounded every year (in ₹).
  24. 24.A square garden has an area of 1225 square m. How long is each side (in m)?
  25. 25.A cuboid is 6 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
  26. 26.A square garden has an area of 289 square m. How long is each side (in m)?
  27. 27.What amount will ₹35800 grow to in 1 year at 12% per year compound interest (in ₹)?
  28. 28.A cuboid is 8 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
  29. 29.Find the compound interest on ₹9500 at 12% per year for 1 year, compounded every year (in ₹).
  30. 30.What is the difference between the compound interest and the simple interest on ₹3400 at 20% per year for 2 years (in ₹)?
  31. 31.What is ∛8000? =
  32. 32.If a − b = 1 and ab = 2, what is a² + b²?
  33. 33.If a + b = 9 and ab = 8, what is a² + b²?
  34. 34.A square garden has an area of 2025 square m. How long is each side (in m)?
  35. 35.Use a² − b² = (a + b)(a − b) to find 61² − 19².
  36. 36.Write 5¹² ÷ 5⁵ as a single power 5ⁿ. What is n?
  37. 37.Solve: x/5 + x/4 = 72. What is x?
  38. 38.What is 4³? =
  39. 39.Use (a − b)² = a² − 2ab + b² to find 95².
  40. 40.7.1 × 10⁵ =

Answer key

  1. 1024
  2. 1024
  3. 5041
  4. 198
  5. 3
  6. 85
  7. 1331
  8. 1071
  9. 5
  10. 340
  11. 84
  12. 351
  13. 841
  14. 9/7
  15. 15
  16. 40768
  17. 62
  18. 288
  19. 5
  20. 256
  21. 3591
  22. 14
  23. 7470
  24. 35
  25. 472
  26. 17
  27. 40096
  28. 172
  29. 1140
  30. 136
  31. 20
  32. 5
  33. 65
  34. 45
  35. 3360
  36. 7
  37. 160
  38. 64
  39. 9025
  40. 710000

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