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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 139 · 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 64,000 in standard form as 6.4 × 10ⁿ. What is n?
  2. 2.A room is 6 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  3. 3.Solve: 5p + 2 = 4p + 14. What is p?
  4. 4.A trapezium has parallel sides of 12 cm and 17 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  5. 5.What is the value of 2⁻⁴ (as a fraction)? =
  6. 6.Solve: n/4 + n/2 = 6. What is n?
  7. 7.The sum of four consecutive whole numbers is 70. What is the smallest of them?
  8. 8.Use (a − b)² = a² − 2ab + b² to find 43².
  9. 9.A room is 3 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  10. 10.Use (a + b)(a − b) = a² − b² to find 104 × 96.
  11. 11.What is 20³? =
  12. 12.A square garden has an area of 225 square m. How long is each side (in m)?
  13. 13.Write 1.6 × 10⁻² as a decimal. =
  14. 14.The sum of two consecutive whole numbers is 27. What is the smallest of them?
  15. 15.Which of these is a perfect cube? (a) 736 (b) 772 (c) 729
  16. 16.What amount will ₹24400 grow to in 1 year at 25% per year compound interest (in ₹)?
  17. 17.What is the difference between the compound interest and the simple interest on ₹8000 at 5% per year for 2 years (in ₹)?
  18. 18.Solve: 3(p − 3) = p + 19. What is p?
  19. 19.What is the value of (3/4)⁻²? =
  20. 20.Write 3.6 × 10⁻⁴ as a decimal. =
  21. 21.What amount will ₹17200 grow to in 1 year at 25% per year compound interest (in ₹)?
  22. 22.Solve: 5(p − 3) = p + 13. What is p?
  23. 23.What is the value of (8/9)⁻¹? =
  24. 24.Find the value of x² − 2xy + y² when x = 4 and y = 2.
  25. 25.What is the value of 5⁴? =
  26. 26.Solve: 5x + 18 = 4x + 32. What is x?
  27. 27.Solve: t/4 + t/2 = 15. What is t?
  28. 28.Find the compound interest on ₹58500 at 15% per year for 1 year, compounded every year (in ₹).
  29. 29.Find the compound interest on ₹24000 at 5% per year for 3 years, compounded every year (in ₹).
  30. 30.What is the value of 3⁻³ (as a fraction)? =
  31. 31.Use (a − b)² = a² − 2ab + b² to find 42².
  32. 32.Use (a + b)(a − b) = a² − b² to find 23 × 17.
  33. 33.What is the value of (5/6)⁻²? =
  34. 34.If a + b = 6 and ab = 5, what is a² + b²?
  35. 35.The sum of three consecutive whole numbers is 42. What is the largest of them?
  36. 36.What is the value of 6⁵? =
  37. 37.The sum of two consecutive whole numbers is 65. What is the largest of them?
  38. 38.What is 36²? =
  39. 39.A trapezium has parallel sides of 7 cm and 29 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  40. 40.What is ∛1728? =

Answer key

  1. 4
  2. 80
  3. 12
  4. 145
  5. 1/16
  6. 8
  7. 16
  8. 1849
  9. 130
  10. 9984
  11. 8000
  12. 15
  13. 0.016
  14. 13
  15. 729
  16. 30500
  17. 20
  18. 14
  19. 16/9
  20. 0.00036
  21. 21500
  22. 7
  23. 9/8
  24. 4
  25. 625
  26. 14
  27. 20
  28. 8775
  29. 3783
  30. 1/27
  31. 1764
  32. 391
  33. 36/25
  34. 26
  35. 15
  36. 7776
  37. 33
  38. 1296
  39. 342
  40. 12

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