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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 610 · 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.A square garden has an area of 400 square m. How long is each side (in m)?
  2. 2.What amount will ₹57500 grow to in 2 years at 12% per year compound interest (in ₹)?
  3. 3.If a + b = 6 and ab = 8, what is a² + b²?
  4. 4.A father is 11 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  5. 5.The length of a rectangle is 5 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  6. 6.Solve: n/3 + n/5 = 64. What is n?
  7. 7.Solve: 7y + 10 = 2y + 30. What is y?
  8. 8.What is ∛10648? =
  9. 9.What is 27²? =
  10. 10.What is the difference between the compound interest and the simple interest on ₹50000 at 10% per year for 2 years (in ₹)?
  11. 11.Use (a + b)² = a² + 2ab + b² to find 63².
  12. 12.The sum of two consecutive whole numbers is 113. What is the largest of them?
  13. 13.Use (a − b)² = a² − 2ab + b² to find 32².
  14. 14.The sum of two consecutive whole numbers is 93. What is the smallest of them?
  15. 15.What is 9³? =
  16. 16.Use (a − b)² = a² − 2ab + b² to find 88².
  17. 17.The length of a rectangle is 9 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  18. 18.What is the value of 5⁻⁴ (as a fraction)? =
  19. 19.What is the value of 4⁸? =
  20. 20.Use (a − b)² = a² − 2ab + b² to find 91².
  21. 21.Use (a − b)² = a² − 2ab + b² to find 95².
  22. 22.Which of these is a perfect cube? (a) 224 (b) 256 (c) 216
  23. 23.Solve: y/5 + y/2 = 56. What is y?
  24. 24.The diagonals of a rhombus are 14 cm and 20 cm. What is its area (in square cm)?
  25. 25.A trapezium has parallel sides of 19 cm and 22 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  26. 26.What is 34²? =
  27. 27.Write 4.6 × 10⁻⁴ as a decimal. =
  28. 28.What is 20³? =
  29. 29.A trapezium has an area of 114 square cm. Its parallel sides are 10 cm and 9 cm. What is the distance between them (in cm)?
  30. 30.A square garden has an area of 2601 square m. How long is each side (in m)?
  31. 31.A trapezium has parallel sides of 28 cm and 30 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  32. 32.A square garden has an area of 2116 square m. How long is each side (in m)?
  33. 33.What is the value of (1/8)⁻¹? =
  34. 34.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  35. 35.If a + b = 12 and ab = 20, what is a² + b²?
  36. 36.What is √3249? =
  37. 37.What is the value of 2⁶ × 2⁻³? =
  38. 38.Which of these is a perfect cube? (a) 47 (b) 27 (c) 29
  39. 39.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.What is the difference between the compound interest and the simple interest on ₹57500 at 12% per year for 2 years (in ₹)?

Answer key

  1. 20
  2. 72128
  3. 20
  4. 3
  5. 9
  6. 120
  7. 4
  8. 22
  9. 729
  10. 500
  11. 3969
  12. 57
  13. 1024
  14. 46
  15. 729
  16. 7744
  17. 12
  18. 1/625
  19. 65536
  20. 8281
  21. 9025
  22. 216
  23. 80
  24. 140
  25. 41
  26. 1156
  27. 0.00046
  28. 8000
  29. 12
  30. 51
  31. 174
  32. 46
  33. 8
  34. 6
  35. 104
  36. 57
  37. 8
  38. 27
  39. 27
  40. 828

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