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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 408 · 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.Write (3⁹)⁸ as a single power 3ⁿ. What is n?
  2. 2.A cuboid is 6 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
  3. 3.Use (a + b)(a − b) = a² − b² to find 101 × 99.
  4. 4.Find the compound interest on ₹32000 at 15% per year for 3 years, compounded every year (in ₹).
  5. 5.Which of these is a perfect cube? (a) 3150 (b) 3102 (c) 2744
  6. 6.What is the value of 2⁹? =
  7. 7.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  8. 8.What amount will ₹48800 grow to in 2 years at 5% per year compound interest (in ₹)?
  9. 9.Write 2⁵ × 2⁸ as a single power 2ⁿ. What is n?
  10. 10.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  11. 11.Solve: 6p + 2 = 5p + 5. What is p?
  12. 12.A cuboid is 4 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
  13. 13.What is the smallest whole number by which 50 must be divided to get a perfect square?
  14. 14.Solve: 4n + 15 = 2n + 43. What is n?
  15. 15.What is the value of 5⁷? =
  16. 16.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  17. 17.Use (a − b)² = a² − 2ab + b² to find 78².
  18. 18.A room is 3 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  19. 19.What is the difference between the compound interest and the simple interest on ₹6600 at 20% per year for 2 years (in ₹)?
  20. 20.What is 15³? =
  21. 21.What is √4356? =
  22. 22.The length of a rectangle is 8 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  23. 23.Which of these is a perfect cube? (a) 3902 (b) 4040 (c) 3375
  24. 24.Find the value of x² + 2xy + y² when x = 15 and y = 8.
  25. 25.What amount will ₹13500 grow to in 3 years at 20% per year compound interest (in ₹)?
  26. 26.What is the smallest whole number by which 490 must be multiplied to get a perfect square?
  27. 27.Write 6,20,000 in standard form as 6.2 × 10ⁿ. What is n?
  28. 28.Solve: 9x + 2 = 5x + 38. What is x?
  29. 29.A father is 22 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  30. 30.A father is 28 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  31. 31.Write 2⁵ × 2³ as a single power 2ⁿ. What is n?
  32. 32.What is √9801? =
  33. 33.What is the value of 10¹ × 10⁻²? =
  34. 34.Which of these is a perfect square? (a) 1094 (b) 1089 (c) 1133
  35. 35.Solve: 3m + 10 = m + 24. What is m?
  36. 36.Use (a + b)² = a² + 2ab + b² to find 107².
  37. 37.If a − b = 1 and ab = 6, what is a² + b²?
  38. 38.What is 77²? =
  39. 39.Solve: x/4 + x/6 = 15. What is x?
  40. 40.A square garden has an area of 1764 square m. How long is each side (in m)?

Answer key

  1. 72
  2. 234
  3. 9999
  4. 16668
  5. 2744
  6. 512
  7. 5
  8. 53802
  9. 13
  10. 12
  11. 3
  12. 76
  13. 2
  14. 14
  15. 78125
  16. 3
  17. 6084
  18. 48
  19. 264
  20. 3375
  21. 66
  22. 27
  23. 3375
  24. 529
  25. 23328
  26. 10
  27. 5
  28. 9
  29. 7
  30. 8
  31. 8
  32. 99
  33. 1/10
  34. 1089
  35. 7
  36. 11449
  37. 13
  38. 5929
  39. 36
  40. 42

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