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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 284 · 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.Find the value of x² + 2xy + y² when x = 15 and y = 12.
  2. 2.Solve: 5y + 4 = 3y + 8. What is y?
  3. 3.Which of these is a perfect cube? (a) 37 (b) 27 (c) 38
  4. 4.What is 56²? =
  5. 5.A trapezium has parallel sides of 20 cm and 28 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  6. 6.A square garden has an area of 841 square m. How long is each side (in m)?
  7. 7.If a + b = 5 and ab = 6, what is a² + b²?
  8. 8.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  9. 9.How many whole numbers lie between 50² and 51²?
  10. 10.Write 1.4 × 10⁻³ as a decimal. =
  11. 11.How many whole numbers lie between 46² and 47²?
  12. 12.What is the value of (1/8)⁻¹? =
  13. 13.If a − b = 3 and ab = 4, what is a² + b²?
  14. 14.What is the value of 2⁹? =
  15. 15.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  16. 16.How many whole numbers lie between 20² and 21²?
  17. 17.Which of these is a perfect square? (a) 1116 (b) 1089 (c) 1107
  18. 18.Solve: 4(y − 1) = 3y + 11. What is y?
  19. 19.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  20. 20.What is 5³? =
  21. 21.Solve: 4(x − 2) = 2x + 14. What is x?
  22. 22.Find the compound interest on ₹58500 at 10% per year for 1 year, compounded every year (in ₹).
  23. 23.A square garden has an area of 400 square m. How long is each side (in m)?
  24. 24.Which of these is a perfect square? (a) 323 (b) 314 (c) 289
  25. 25.Which of these is a perfect square? (a) 332 (b) 356 (c) 324
  26. 26.Solve: 3(m − 1) = 2m + 9. What is m?
  27. 27.What is √7569? =
  28. 28.A scooter is worth ₹13200. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
  29. 29.Write 2.6 × 10⁻¹ as a decimal. =
  30. 30.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
  31. 31.If a + b = 3 and ab = 2, what is a² + b²?
  32. 32.What is √1936? =
  33. 33.2.4 × 10² =
  34. 34.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  35. 35.A cuboid is 10 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
  36. 36.Solve: 6(m − 2) = m + 48. What is m?
  37. 37.The length of a rectangle is 9 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
  38. 38.A cuboid is 3 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
  39. 39.Find the value of x² − 2xy + y² when x = 4 and y = 2.
  40. 40.A square garden has an area of 2401 square m. How long is each side (in m)?

Answer key

  1. 729
  2. 2
  3. 27
  4. 3136
  5. 72
  6. 29
  7. 13
  8. 27
  9. 100
  10. 0.0014
  11. 92
  12. 8
  13. 17
  14. 512
  15. 384
  16. 40
  17. 1089
  18. 15
  19. 14
  20. 125
  21. 11
  22. 5850
  23. 20
  24. 289
  25. 324
  26. 12
  27. 87
  28. 12672
  29. 0.26
  30. 225
  31. 5
  32. 44
  33. 240
  34. 4
  35. 242
  36. 12
  37. 30
  38. 78
  39. 4
  40. 49

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