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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 161 · 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)(a − b) = a² − b² to find 62 × 58.
  2. 2.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  3. 3.Find the value of x² − y² when x = 6 and y = 4.
  4. 4.Find the value of x² + 2xy + y² when x = 14 and y = 1.
  5. 5.Write (5²)² as a single power 5ⁿ. What is n?
  6. 6.Find the compound interest on ₹41000 at 4% per year for 1 year, compounded every year (in ₹).
  7. 7.Solve: 5y + 4 = 2y + 13. What is y?
  8. 8.What is the difference between the compound interest and the simple interest on ₹44000 at 25% per year for 2 years (in ₹)?
  9. 9.A square garden has an area of 196 square m. How long is each side (in m)?
  10. 10.What is the difference between the compound interest and the simple interest on ₹57500 at 10% per year for 2 years (in ₹)?
  11. 11.What is the difference between the compound interest and the simple interest on ₹30000 at 4% per year for 2 years (in ₹)?
  12. 12.A square garden has an area of 1849 square m. How long is each side (in m)?
  13. 13.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  14. 14.Use (a + b)(a − b) = a² − b² to find 97 × 83.
  15. 15.If a − b = 1 and ab = 2, what is a² + b²?
  16. 16.Which of these is a perfect cube? (a) 216 (b) 282 (c) 237
  17. 17.A trapezium has an area of 136 square cm. Its parallel sides are 15 cm and 2 cm. What is the distance between them (in cm)?
  18. 18.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  19. 19.A cuboid is 9 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
  20. 20.What is 9³? =
  21. 21.Solve: p/3 + p/4 = 14. What is p?
  22. 22.A trapezium has parallel sides of 29 cm and 24 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  23. 23.What is the value of 4⁻² (as a fraction)? =
  24. 24.What is the smallest whole number by which 40 must be divided to get a perfect square?
  25. 25.A trapezium has an area of 104 square cm. Its parallel sides are 12 cm and 14 cm. What is the distance between them (in cm)?
  26. 26.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  27. 27.Solve: y/3 + y/5 = 40. What is y?
  28. 28.Solve: 5(y − 1) = 3y + 7. What is y?
  29. 29.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  30. 30.Use (a − b)² = a² − 2ab + b² to find 62².
  31. 31.What is √441? =
  32. 32.Use (a − b)² = a² − 2ab + b² to find 82².
  33. 33.What is √144? =
  34. 34.Solve: 6n + 18 = 5n + 32. What is n?
  35. 35.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  36. 36.What is the value of 5² × 5⁻¹? =
  37. 37.What amount will ₹7100 grow to in 1 year at 12% per year compound interest (in ₹)?
  38. 38.Solve: 8y + 1 = 5y + 22. What is y?
  39. 39.A trapezium has an area of 190 square cm. Its parallel sides are 20 cm and 18 cm. What is the distance between them (in cm)?
  40. 40.A trapezium has parallel sides of 18 cm and 22 cm, and the distance between them is 20 cm. What is its area (in square cm)?

Answer key

  1. 3596
  2. 2
  3. 20
  4. 225
  5. 4
  6. 1640
  7. 3
  8. 2750
  9. 14
  10. 575
  11. 48
  12. 43
  13. 2400
  14. 8051
  15. 5
  16. 216
  17. 16
  18. 10
  19. 190
  20. 729
  21. 24
  22. 212
  23. 1/16
  24. 10
  25. 8
  26. 2
  27. 75
  28. 6
  29. 3
  30. 3844
  31. 21
  32. 6724
  33. 12
  34. 14
  35. 5
  36. 5
  37. 7952
  38. 7
  39. 10
  40. 400

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