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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 979 · 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 = 11 and y = 5.
  2. 2.What is the value of 5⁶ × 5⁻⁴? =
  3. 3.Which of these is a perfect cube? (a) 50 (b) 46 (c) 27
  4. 4.What is ∛27? =
  5. 5.Write 3.8 × 10⁻¹ as a decimal. =
  6. 6.What is the value of 2² × 2⁻²? =
  7. 7.What is the value of (3/8)⁻²? =
  8. 8.What is 51²? =
  9. 9.A trapezium has an area of 62 square cm. Its parallel sides are 18 cm and 13 cm. What is the distance between them (in cm)?
  10. 10.What is 12³? =
  11. 11.What is √2116? =
  12. 12.The diagonals of a rhombus are 10 cm and 14 cm. What is its area (in square cm)?
  13. 13.The sum of four consecutive whole numbers is 242. What is the smallest of them?
  14. 14.Find the value of x² − 2xy + y² when x = 4 and y = 2.
  15. 15.Use (a + b)(a − b) = a² − b² to find 94 × 86.
  16. 16.Find the compound interest on ₹17600 at 25% per year for 2 years, compounded every year (in ₹).
  17. 17.The length of a rectangle is 6 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  18. 18.What is √4096? =
  19. 19.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  20. 20.A trapezium has parallel sides of 24 cm and 28 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  21. 21.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  22. 22.A town has 13000 people. The population grows by 10% every year. What will the population be after 3 years?
  23. 23.Find the value of x² + 2xy + y² when x = 14 and y = 12.
  24. 24.A square garden has an area of 576 square m. How long is each side (in m)?
  25. 25.A square garden has an area of 1600 square m. How long is each side (in m)?
  26. 26.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  27. 27.What is 6³? =
  28. 28.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  29. 29.Use (a + b)(a − b) = a² − b² to find 73 × 67.
  30. 30.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  31. 31.What is the value of (6/7)⁻¹? =
  32. 32.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  33. 33.What is the value of 10⁴ × 10⁻⁵? =
  34. 34.A room is 11 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  35. 35.Find the compound interest on ₹9900 at 10% per year for 1 year, compounded every year (in ₹).
  36. 36.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  37. 37.Which of these is a perfect cube? (a) 108 (b) 67 (c) 64
  38. 38.How many whole numbers lie between 44² and 45²?
  39. 39.The length of a rectangle is 12 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  40. 40.What is √7225? =

Answer key

  1. 256
  2. 25
  3. 27
  4. 3
  5. 0.38
  6. 1
  7. 64/9
  8. 2601
  9. 4
  10. 1728
  11. 46
  12. 70
  13. 59
  14. 4
  15. 8084
  16. 9900
  17. 10
  18. 64
  19. 13
  20. 52
  21. 2
  22. 17303
  23. 676
  24. 24
  25. 40
  26. 8
  27. 216
  28. 8
  29. 4891
  30. 3456
  31. 7/6
  32. 20
  33. 1/10
  34. 126
  35. 990
  36. 4
  37. 64
  38. 88
  39. 5
  40. 85

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