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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 612 · 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 57²? =
  2. 2.Use a² − b² = (a + b)(a − b) to find 60² − 39².
  3. 3.Solve: x/5 + x/4 = 18. What is x?
  4. 4.The length of a rectangle is 8 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  5. 5.A cuboid is 3 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
  6. 6.What is 7³? =
  7. 7.Solve: 4(m − 3) = 2m + 8. What is m?
  8. 8.Write 3¹³ ÷ 3⁶ as a single power 3ⁿ. What is n?
  9. 9.Write (6²)⁵ as a single power 6ⁿ. What is n?
  10. 10.The length of a rectangle is 1 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  11. 11.Use (a − b)² = a² − 2ab + b² to find 27².
  12. 12.The length of a rectangle is 2 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  13. 13.Solve: m/4 + m/5 = 9. What is m?
  14. 14.Write 4.9 × 10⁻⁴ as a decimal. =
  15. 15.What is the difference between the compound interest and the simple interest on ₹20000 at 12% per year for 2 years (in ₹)?
  16. 16.What is ∛216? =
  17. 17.What is 21²? =
  18. 18.Find the compound interest on ₹4000 at 4% per year for 1 year, compounded every year (in ₹).
  19. 19.Solve: n/4 + n/2 = 24. What is n?
  20. 20.Use (a − b)² = a² − 2ab + b² to find 68².
  21. 21.Find the compound interest on ₹11800 at 12% per year for 1 year, compounded every year (in ₹).
  22. 22.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  23. 23.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  24. 24.Use (a + b)(a − b) = a² − b² to find 76 × 64.
  25. 25.What amount will ₹22500 grow to in 2 years at 12% per year compound interest (in ₹)?
  26. 26.What is the value of 3⁶? =
  27. 27.Use a² − b² = (a + b)(a − b) to find 41² − 2².
  28. 28.A trapezium has parallel sides of 27 cm and 19 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  29. 29.Find the compound interest on ₹16000 at 15% per year for 3 years, compounded every year (in ₹).
  30. 30.How many whole numbers lie between 8² and 9²?
  31. 31.Use (a − b)² = a² − 2ab + b² to find 37².
  32. 32.4.5 × 10⁶ =
  33. 33.What is the value of 4⁻² (as a fraction)? =
  34. 34.Find the compound interest on ₹8000 at 5% per year for 3 years, compounded every year (in ₹).
  35. 35.How many whole numbers lie between 25² and 26²?
  36. 36.A trapezium has an area of 171 square cm. Its parallel sides are 30 cm and 8 cm. What is the distance between them (in cm)?
  37. 37.A father is 27 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  38. 38.Solve: 5x + 15 = 4x + 22. What is x?
  39. 39.Which of these is a perfect cube? (a) 488 (b) 343 (c) 367
  40. 40.If a − b = 6 and ab = 7, what is a² + b²?

Answer key

  1. 3249
  2. 2079
  3. 40
  4. 8
  5. 114
  6. 343
  7. 10
  8. 7
  9. 10
  10. 23
  11. 729
  12. 5
  13. 20
  14. 0.00049
  15. 288
  16. 6
  17. 441
  18. 160
  19. 32
  20. 4624
  21. 1416
  22. 12
  23. 4
  24. 4864
  25. 28224
  26. 729
  27. 1677
  28. 46
  29. 8334
  30. 16
  31. 1369
  32. 4500000
  33. 1/16
  34. 1261
  35. 50
  36. 9
  37. 5
  38. 7
  39. 343
  40. 50

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