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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 148 · 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.Solve: 8x + 19 = 3x + 79. What is x?
  2. 2.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
  3. 3.What is the value of 2⁻³ (as a fraction)? =
  4. 4.Write 7.1 × 10⁻³ as a decimal. =
  5. 5.What is the value of (4/5)⁻²? =
  6. 6.The length of a rectangle is 14 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  7. 7.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  8. 8.Write 6.1 × 10⁻¹ as a decimal. =
  9. 9.Write 37,000 in standard form as 3.7 × 10ⁿ. What is n?
  10. 10.A father is 9 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  11. 11.What is 15²? =
  12. 12.Use a² − b² = (a + b)(a − b) to find 41² − 17².
  13. 13.5.5 × 10⁶ =
  14. 14.What is 3³? =
  15. 15.A father is 9 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  16. 16.A trapezium has parallel sides of 15 cm and 12 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  17. 17.Write 9.1 × 10⁻¹ as a decimal. =
  18. 18.Solve: 6(y − 1) = 2y + 22. What is y?
  19. 19.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  20. 20.Find the compound interest on ₹54400 at 25% per year for 3 years, compounded every year (in ₹).
  21. 21.Find the compound interest on ₹6400 at 5% per year for 1 year, compounded every year (in ₹).
  22. 22.What amount will ₹14900 grow to in 1 year at 15% per year compound interest (in ₹)?
  23. 23.What is 75²? =
  24. 24.1.3 × 10⁴ =
  25. 25.What is ∛2197? =
  26. 26.If a + b = 4 and ab = 3, what is a² + b²?
  27. 27.What is the value of 2² × 2⁻⁵? =
  28. 28.What is ∛4913? =
  29. 29.Which of these is a perfect cube? (a) 891 (b) 729 (c) 754
  30. 30.Use a² − b² = (a + b)(a − b) to find 59² − 13².
  31. 31.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  32. 32.Write 8³ × 8⁸ as a single power 8ⁿ. What is n?
  33. 33.If a − b = 2 and ab = 3, what is a² + b²?
  34. 34.Which of these is a perfect cube? (a) 685 (b) 658 (c) 512
  35. 35.What is the value of 7⁻¹ (as a fraction)? =
  36. 36.Write 5⁹ × 5⁵ as a single power 5ⁿ. What is n?
  37. 37.Which of these is a perfect square? (a) 577 (b) 576 (c) 612
  38. 38.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  39. 39.What is the value of 3⁸? =
  40. 40.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?

Answer key

  1. 12
  2. 729
  3. 1/8
  4. 0.0071
  5. 25/16
  6. 12
  7. 5
  8. 0.61
  9. 4
  10. 2
  11. 225
  12. 1392
  13. 5500000
  14. 27
  15. 7
  16. 81
  17. 0.91
  18. 7
  19. 10
  20. 51850
  21. 320
  22. 17135
  23. 5625
  24. 13000
  25. 13
  26. 10
  27. 1/8
  28. 17
  29. 729
  30. 3312
  31. 5
  32. 11
  33. 10
  34. 512
  35. 1/7
  36. 14
  37. 576
  38. 8
  39. 6561
  40. 16

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