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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 773 · 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 58².
  2. 2.A cuboid is 7 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  3. 3.Which of these is a perfect square? (a) 820 (b) 784 (c) 840
  4. 4.Which of these is a perfect square? (a) 224 (b) 196 (c) 223
  5. 5.What is the value of 3⁻² (as a fraction)? =
  6. 6.A father is 12 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?
  7. 7.What is 6³? =
  8. 8.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  9. 9.A town has 33000 people. The population grows by 20% every year. What will the population be after 3 years?
  10. 10.What amount will ₹12500 grow to in 2 years at 8% per year compound interest (in ₹)?
  11. 11.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  12. 12.What is the value of 2⁴? =
  13. 13.Write 2.5 × 10⁻¹ as a decimal. =
  14. 14.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  15. 15.Use (a + b)² = a² + 2ab + b² to find 25².
  16. 16.Which of these is a perfect square? (a) 626 (b) 675 (c) 625
  17. 17.What is 17³? =
  18. 18.The sum of three consecutive whole numbers is 36. What is the largest of them?
  19. 19.Find the compound interest on ₹4300 at 10% per year for 2 years, compounded every year (in ₹).
  20. 20.Find the value of x² + 2xy + y² when x = 6 and y = 4.
  21. 21.A trapezium has an area of 243 square cm. Its parallel sides are 23 cm and 4 cm. What is the distance between them (in cm)?
  22. 22.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  23. 23.Write (5⁷)⁸ as a single power 5ⁿ. What is n?
  24. 24.What is the value of 3⁶ × 3⁻²? =
  25. 25.Solve: 7x + 15 = 6x + 21. What is x?
  26. 26.What is the value of (7/9)⁻²? =
  27. 27.What is the difference between the compound interest and the simple interest on ₹7500 at 8% per year for 2 years (in ₹)?
  28. 28.A cuboid is 15 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
  29. 29.Use (a + b)(a − b) = a² − b² to find 31 × 29.
  30. 30.A square garden has an area of 1764 square m. How long is each side (in m)?
  31. 31.Which of these is a perfect cube? (a) 216 (b) 316 (c) 285
  32. 32.What is the value of 3⁷? =
  33. 33.What is 29²? =
  34. 34.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  35. 35.What is 59²? =
  36. 36.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  37. 37.Write (6³)⁴ as a single power 6ⁿ. What is n?
  38. 38.Which of these is a perfect square? (a) 431 (b) 400 (c) 412
  39. 39.Solve: 4p + 18 = 2p + 32. What is p?
  40. 40.Find the compound interest on ₹25500 at 8% per year for 1 year, compounded every year (in ₹).

Answer key

  1. 3364
  2. 100
  3. 784
  4. 196
  5. 1/9
  6. 4
  7. 216
  8. 10
  9. 57024
  10. 14580
  11. 294
  12. 16
  13. 0.25
  14. 96
  15. 625
  16. 625
  17. 4913
  18. 13
  19. 903
  20. 100
  21. 18
  22. 216
  23. 56
  24. 81
  25. 6
  26. 81/49
  27. 48
  28. 558
  29. 899
  30. 42
  31. 216
  32. 2187
  33. 841
  34. 4
  35. 3481
  36. 24
  37. 12
  38. 400
  39. 7
  40. 2040

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