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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 651 · 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 smallest whole number by which 2 must be divided to get a perfect cube?
  2. 2.Use (a + b)(a − b) = a² − b² to find 76 × 64.
  3. 3.A trapezium has parallel sides of 6 cm and 20 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  4. 4.Which of these is a perfect cube? (a) 2249 (b) 2351 (c) 2197
  5. 5.What is the value of 2¹²? =
  6. 6.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.A square garden has an area of 1024 square m. How long is each side (in m)?
  8. 8.Find the value of x² + 2xy + y² when x = 14 and y = 3.
  9. 9.Find the compound interest on ₹22600 at 12% per year for 1 year, compounded every year (in ₹).
  10. 10.What is the smallest whole number by which 125 must be divided to get a perfect square?
  11. 11.What is the value of 10⁴ × 10⁻¹? =
  12. 12.Write 8.7 × 10⁻⁴ as a decimal. =
  13. 13.What is the value of 3³? =
  14. 14.What is ∛6859? =
  15. 15.Which of these is a perfect cube? (a) 94 (b) 107 (c) 64
  16. 16.Solve: 4(x − 4) = x + 8. What is x?
  17. 17.The length of a rectangle is 7 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  18. 18.A room is 5 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  19. 19.Use a² − b² = (a + b)(a − b) to find 59² − 25².
  20. 20.Which of these is a perfect cube? (a) 512 (b) 674 (c) 535
  21. 21.What is the value of (5/7)⁻¹? =
  22. 22.What is 35²? =
  23. 23.Use (a + b)(a − b) = a² − b² to find 46 × 34.
  24. 24.What is the value of 3¹⁰? =
  25. 25.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
  26. 26.If a + b = 18 and ab = 72, what is a² + b²?
  27. 27.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  28. 28.What is 11²? =
  29. 29.What is the difference between the compound interest and the simple interest on ₹52500 at 8% per year for 2 years (in ₹)?
  30. 30.What is √3844? =
  31. 31.What is 19²? =
  32. 32.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  33. 33.What is the smallest whole number by which 8 must be multiplied to get a perfect square?
  34. 34.Use a² − b² = (a + b)(a − b) to find 24² − 3².
  35. 35.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  36. 36.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.What is ∛12167? =
  38. 38.What is the difference between the compound interest and the simple interest on ₹3200 at 5% per year for 2 years (in ₹)?
  39. 39.What is the value of 2³? =
  40. 40.Solve: 9t + 19 = 2t + 96. What is t?

Answer key

  1. 2
  2. 4864
  3. 221
  4. 2197
  5. 4096
  6. 8
  7. 32
  8. 289
  9. 2712
  10. 5
  11. 1000
  12. 0.00087
  13. 27
  14. 19
  15. 64
  16. 8
  17. 25
  18. 80
  19. 2856
  20. 512
  21. 7/5
  22. 1225
  23. 1564
  24. 59049
  25. 784
  26. 180
  27. 49
  28. 121
  29. 336
  30. 62
  31. 361
  32. 64
  33. 2
  34. 567
  35. 8
  36. 125
  37. 23
  38. 8
  39. 8
  40. 11

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