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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 738 · 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. 1.4.8 × 10³ =
  2. 2.Use (a + b)² = a² + 2ab + b² to find 88².
  3. 3.Solve: 6m + 9 = 5m + 17. What is m?
  4. 4.Which of these is a perfect square? (a) 237 (b) 225 (c) 247
  5. 5.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  6. 6.Use (a + b)² = a² + 2ab + b² to find 69².
  7. 7.What is the value of (1/4)⁻¹? =
  8. 8.Find the value of x² − 2xy + y² when x = 4 and y = 2.
  9. 9.What is the smallest whole number by which 175 must be divided to get a perfect square?
  10. 10.Use (a − b)² = a² − 2ab + b² to find 15².
  11. 11.A square garden has an area of 1936 square m. How long is each side (in m)?
  12. 12.2.4 × 10² =
  13. 13.The diagonals of a rhombus are 26 cm and 28 cm. What is its area (in square cm)?
  14. 14.What is the value of 3² × 3⁻⁴? =
  15. 15.Which of these is a perfect square? (a) 760 (b) 729 (c) 764
  16. 16.A cuboid is 11 cm long, 12 cm wide and 6 cm high. What is its total surface area (in square cm)?
  17. 17.What is the difference between the compound interest and the simple interest on ₹44800 at 15% per year for 2 years (in ₹)?
  18. 18.The length of a rectangle is 6 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  19. 19.A trapezium has an area of 430 square cm. Its parallel sides are 24 cm and 19 cm. What is the distance between them (in cm)?
  20. 20.Use a² − b² = (a + b)(a − b) to find 29² − 3².
  21. 21.What is 3³? =
  22. 22.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  23. 23.What is the value of 3³ × 3⁻²? =
  24. 24.Use a² − b² = (a + b)(a − b) to find 37² − 10².
  25. 25.Solve: x/4 + x/3 = 42. What is x?
  26. 26.What is the value of (4/5)⁻¹? =
  27. 27.Solve: 6(y − 4) = y + 6. What is y?
  28. 28.What is the value of 3⁴? =
  29. 29.What is 10³? =
  30. 30.Find the compound interest on ₹35600 at 15% per year for 2 years, compounded every year (in ₹).
  31. 31.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  32. 32.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  33. 33.What is the value of 2⁵? =
  34. 34.What is 17²? =
  35. 35.Use (a + b)(a − b) = a² − b² to find 35 × 25.
  36. 36.A father is 13 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  37. 37.What is the value of (1/9)⁻¹? =
  38. 38.Find the compound interest on ₹11700 at 4% per year for 1 year, compounded every year (in ₹).
  39. 39.A trapezium has an area of 20 square cm. Its parallel sides are 5 cm and 15 cm. What is the distance between them (in cm)?
  40. 40.A trapezium has an area of 171 square cm. Its parallel sides are 22 cm and 16 cm. What is the distance between them (in cm)?

Answer key

  1. 4800
  2. 7744
  3. 8
  4. 225
  5. 6
  6. 4761
  7. 4
  8. 4
  9. 7
  10. 225
  11. 44
  12. 240
  13. 364
  14. 1/9
  15. 729
  16. 540
  17. 1008
  18. 19
  19. 20
  20. 832
  21. 27
  22. 8
  23. 3
  24. 1269
  25. 72
  26. 5/4
  27. 6
  28. 81
  29. 1000
  30. 11481
  31. 9
  32. 24
  33. 32
  34. 289
  35. 875
  36. 11
  37. 9
  38. 468
  39. 2
  40. 9

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