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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 308 · 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 trapezium has an area of 156 square cm. Its parallel sides are 26 cm and 13 cm. What is the distance between them (in cm)?
  2. 2.A trapezium has parallel sides of 17 cm and 14 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  3. 3.Find the compound interest on ₹24000 at 5% per year for 3 years, compounded every year (in ₹).
  4. 4.Solve: 9n + 18 = 4n + 23. What is n?
  5. 5.What is ∛1728? =
  6. 6.If a − b = 1 and ab = 2, what is a² + b²?
  7. 7.What is the difference between the compound interest and the simple interest on ₹22500 at 8% per year for 2 years (in ₹)?
  8. 8.Find the compound interest on ₹13600 at 8% per year for 1 year, compounded every year (in ₹).
  9. 9.What is 2³? =
  10. 10.What is ∛2197? =
  11. 11.Find the value of x² + 2xy + y² when x = 12 and y = 10.
  12. 12.What amount will ₹56700 grow to in 1 year at 15% per year compound interest (in ₹)?
  13. 13.The length of a rectangle is 3 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
  14. 14.What is the value of 2² × 2⁻¹? =
  15. 15.Use (a − b)² = a² − 2ab + b² to find 92².
  16. 16.Write 3.1 × 10⁻⁴ as a decimal. =
  17. 17.Which of these is a perfect cube? (a) 2929 (b) 2744 (c) 3032
  18. 18.What is 48²? =
  19. 19.Write 4.4 × 10⁻³ as a decimal. =
  20. 20.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
  21. 21.The sum of two consecutive whole numbers is 29. What is the smallest of them?
  22. 22.What amount will ₹55100 grow to in 2 years at 20% per year compound interest (in ₹)?
  23. 23.What amount will ₹2500 grow to in 2 years at 12% per year compound interest (in ₹)?
  24. 24.Solve: 6(n − 1) = 3n + 27. What is n?
  25. 25.A scooter is worth ₹19500. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
  26. 26.Solve: 8t + 6 = 2t + 66. What is t?
  27. 27.Which of these is a perfect square? (a) 1369 (b) 1424 (c) 1428
  28. 28.Solve: 5(y − 1) = y + 11. What is y?
  29. 29.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  30. 30.A trapezium has parallel sides of 13 cm and 17 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  31. 31.The diagonals of a rhombus are 12 cm and 20 cm. What is its area (in square cm)?
  32. 32.What is √225? =
  33. 33.A trapezium has parallel sides of 8 cm and 26 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  34. 34.Find the value of x² − 2xy + y² when x = 9 and y = 5.
  35. 35.What is the value of 5⁶ × 5⁻⁶? =
  36. 36.The sum of two consecutive whole numbers is 35. What is the smallest of them?
  37. 37.Use a² − b² = (a + b)(a − b) to find 58² − 34².
  38. 38.A cuboid is 13 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  39. 39.What is 50²? =
  40. 40.What is 3³? =

Answer key

  1. 8
  2. 217
  3. 3783
  4. 1
  5. 12
  6. 5
  7. 144
  8. 1088
  9. 8
  10. 13
  11. 484
  12. 65205
  13. 3
  14. 2
  15. 8464
  16. 0.00031
  17. 2744
  18. 2304
  19. 0.0044
  20. 5
  21. 14
  22. 79344
  23. 3136
  24. 11
  25. 17550
  26. 10
  27. 1369
  28. 4
  29. 13
  30. 105
  31. 120
  32. 15
  33. 204
  34. 16
  35. 1
  36. 17
  37. 2208
  38. 172
  39. 2500
  40. 27

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