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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 549 · 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 room is 10 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  2. 2.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  3. 3.A square garden has an area of 1764 square m. How long is each side (in m)?
  4. 4.A cuboid is 13 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
  5. 5.Write 560 in standard form as 5.6 × 10ⁿ. What is n?
  6. 6.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
  7. 7.Which of these is a perfect cube? (a) 759 (b) 835 (c) 729
  8. 8.Find the value of x² + 2xy + y² when x = 12 and y = 3.
  9. 9.A room is 6 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  10. 10.What is the difference between the compound interest and the simple interest on ₹30000 at 4% per year for 2 years (in ₹)?
  11. 11.Write (3⁶)⁸ as a single power 3ⁿ. What is n?
  12. 12.What is the value of 7²? =
  13. 13.The length of a rectangle is 15 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  14. 14.The sum of four consecutive whole numbers is 26. What is the smallest of them?
  15. 15.Use (a − b)² = a² − 2ab + b² to find 19².
  16. 16.What is 13³? =
  17. 17.How many whole numbers lie between 28² and 29²?
  18. 18.What is the value of 2² × 2⁻⁶? =
  19. 19.Write 5.8 × 10⁻² as a decimal. =
  20. 20.The sum of four consecutive whole numbers is 94. What is the largest of them?
  21. 21.What is √1296? =
  22. 22.If a + b = 7 and ab = 6, what is a² + b²?
  23. 23.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  24. 24.Solve: p/6 + p/2 = 8. What is p?
  25. 25.Use (a + b)² = a² + 2ab + b² to find 13².
  26. 26.Which of these is a perfect square? (a) 1600 (b) 1655 (c) 1614
  27. 27.Find the value of x² − 2xy + y² when x = 15 and y = 9.
  28. 28.What is the value of 3⁻² (as a fraction)? =
  29. 29.A square garden has an area of 81 square m. How long is each side (in m)?
  30. 30.A trapezium has parallel sides of 9 cm and 13 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  31. 31.Which of these is a perfect square? (a) 724 (b) 704 (c) 676
  32. 32.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  33. 33.Which of these is a perfect cube? (a) 3375 (b) 3389 (c) 3744
  34. 34.What is the value of 2⁻⁷ (as a fraction)? =
  35. 35.What is ∛10648? =
  36. 36.What is √6400? =
  37. 37.The diagonals of a rhombus are 4 cm and 23 cm. What is its area (in square cm)?
  38. 38.A trapezium has parallel sides of 27 cm and 15 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  39. 39.A square garden has an area of 1681 square m. How long is each side (in m)?
  40. 40.Which of these is a perfect cube? (a) 2129 (b) 2119 (c) 1728

Answer key

  1. 104
  2. 600
  3. 42
  4. 202
  5. 2
  6. 225
  7. 729
  8. 225
  9. 54
  10. 48
  11. 48
  12. 49
  13. 20
  14. 5
  15. 361
  16. 2197
  17. 56
  18. 1/16
  19. 0.058
  20. 25
  21. 36
  22. 37
  23. 6
  24. 12
  25. 169
  26. 1600
  27. 36
  28. 1/9
  29. 9
  30. 99
  31. 676
  32. 3
  33. 3375
  34. 1/128
  35. 22
  36. 80
  37. 46
  38. 189
  39. 41
  40. 1728

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