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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 95 · 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 3⁻² (as a fraction)? =
  2. 2.What is the value of 10² × 10⁻¹? =
  3. 3.Use (a + b)² = a² + 2ab + b² to find 106².
  4. 4.If a + b = 10 and ab = 16, what is a² + b²?
  5. 5.Solve: x/3 + x/2 = 5. What is x?
  6. 6.A room is 11 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  7. 7.Write 7.6 × 10⁻² as a decimal. =
  8. 8.Use (a − b)² = a² − 2ab + b² to find 39².
  9. 9.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  10. 10.The length of a rectangle is 7 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  11. 11.A cuboid is 11 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
  12. 12.Write (8⁵)⁸ as a single power 8ⁿ. What is n?
  13. 13.Solve: 5t + 14 = 3t + 44. What is t?
  14. 14.Solve: 5t + 5 = 2t + 8. What is t?
  15. 15.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
  16. 16.If a + b = 11 and ab = 28, what is a² + b²?
  17. 17.If a + b = 3 and ab = 2, what is a² + b²?
  18. 18.The length of a rectangle is 11 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  19. 19.What is the value of 7⁵? =
  20. 20.A square garden has an area of 169 square m. How long is each side (in m)?
  21. 21.2.9 × 10⁷ =
  22. 22.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  23. 23.Solve: 4(m − 1) = m + 5. What is m?
  24. 24.Use (a + b)(a − b) = a² − b² to find 81 × 79.
  25. 25.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  26. 26.The sum of two consecutive whole numbers is 85. What is the smallest of them?
  27. 27.If a + b = 22 and ab = 120, what is a² + b²?
  28. 28.What is 7³? =
  29. 29.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  30. 30.The diagonals of a rhombus are 22 cm and 10 cm. What is its area (in square cm)?
  31. 31.What amount will ₹15200 grow to in 2 years at 25% per year compound interest (in ₹)?
  32. 32.Write 1,40,00,000 in standard form as 1.4 × 10ⁿ. What is n?
  33. 33.What is the difference between the compound interest and the simple interest on ₹19100 at 20% per year for 2 years (in ₹)?
  34. 34.A cuboid is 13 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  35. 35.What is ∛125? =
  36. 36.Which of these is a perfect cube? (a) 1614 (b) 1581 (c) 1331
  37. 37.How many whole numbers lie between 5² and 6²?
  38. 38.What is 98²? =
  39. 39.What is the value of 2⁻¹ (as a fraction)? =
  40. 40.Write 9⁶ × 9² as a single power 9ⁿ. What is n?

Answer key

  1. 1/9
  2. 10
  3. 11236
  4. 68
  5. 6
  6. 150
  7. 0.076
  8. 1521
  9. 11
  10. 9
  11. 262
  12. 40
  13. 15
  14. 1
  15. 121
  16. 65
  17. 5
  18. 12
  19. 16807
  20. 13
  21. 29000000
  22. 4
  23. 3
  24. 6399
  25. 216
  26. 42
  27. 244
  28. 343
  29. 4
  30. 110
  31. 23750
  32. 7
  33. 764
  34. 142
  35. 5
  36. 1331
  37. 10
  38. 9604
  39. 1/2
  40. 8

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