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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 860 · 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.Use (a − b)² = a² − 2ab + b² to find 15².
  2. 2.What is √7744? =
  3. 3.Solve: 4t + 20 = t + 23. What is t?
  4. 4.Use (a + b)² = a² + 2ab + b² to find 104².
  5. 5.Write 7.1 × 10⁻¹ as a decimal. =
  6. 6.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  7. 7.Find the compound interest on ₹5000 at 4% per year for 2 years, compounded every year (in ₹).
  8. 8.Use (a + b)² = a² + 2ab + b² to find 91².
  9. 9.If a + b = 21 and ab = 110, what is a² + b²?
  10. 10.What is the value of 7⁻² (as a fraction)? =
  11. 11.What is the value of 2³ × 2⁻⁶? =
  12. 12.Solve: 8y + 19 = 4y + 71. What is y?
  13. 13.Write 5,20,00,000 in standard form as 5.2 × 10ⁿ. What is n?
  14. 14.The length of a rectangle is 6 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  15. 15.A room is 9 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  16. 16.What is 8³? =
  17. 17.What amount will ₹34900 grow to in 1 year at 5% per year compound interest (in ₹)?
  18. 18.Find the value of x² + 2xy + y² when x = 10 and y = 2.
  19. 19.What is 5³? =
  20. 20.Solve: 8y + 19 = y + 26. What is y?
  21. 21.What is the value of 10² × 10⁻⁵? =
  22. 22.What is 4³? =
  23. 23.What is the difference between the compound interest and the simple interest on ₹24000 at 10% per year for 2 years (in ₹)?
  24. 24.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
  25. 25.What is the difference between the compound interest and the simple interest on ₹55000 at 8% per year for 2 years (in ₹)?
  26. 26.What is ∛8000? =
  27. 27.Write 9.8 × 10⁻¹ as a decimal. =
  28. 28.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  29. 29.Solve: 3p + 19 = 2p + 25. What is p?
  30. 30.The length of a rectangle is 13 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  31. 31.What is √8281? =
  32. 32.What is √9604? =
  33. 33.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  34. 34.The diagonals of a rhombus are 30 cm and 27 cm. What is its area (in square cm)?
  35. 35.The length of a rectangle is 15 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  36. 36.What is the value of (2/5)⁻²? =
  37. 37.What is the difference between the compound interest and the simple interest on ₹47800 at 20% per year for 2 years (in ₹)?
  38. 38.Use a² − b² = (a + b)(a − b) to find 62² − 10².
  39. 39.What is the value of 7⁻³ (as a fraction)? =
  40. 40.If a + b = 11 and ab = 30, what is a² + b²?

Answer key

  1. 225
  2. 88
  3. 1
  4. 10816
  5. 0.71
  6. 216
  7. 408
  8. 8281
  9. 221
  10. 1/49
  11. 1/8
  12. 13
  13. 7
  14. 8
  15. 102
  16. 512
  17. 36645
  18. 144
  19. 125
  20. 1
  21. 1/1000
  22. 64
  23. 240
  24. 729
  25. 352
  26. 20
  27. 0.98
  28. 49
  29. 6
  30. 6
  31. 91
  32. 98
  33. 4
  34. 405
  35. 24
  36. 25/4
  37. 1912
  38. 3744
  39. 1/343
  40. 61

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