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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 140 · 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.What is 17³? =
  2. 2.What is the value of 2¹⁰? =
  3. 3.Write 8.1 × 10⁻¹ as a decimal. =
  4. 4.What is the smallest whole number by which 12 must be multiplied to get a perfect square?
  5. 5.Find the value of x² − y² when x = 8 and y = 2.
  6. 6.The sum of two consecutive whole numbers is 67. What is the largest of them?
  7. 7.The diagonals of a rhombus are 6 cm and 14 cm. What is its area (in square cm)?
  8. 8.Solve: 6y + 10 = y + 45. What is y?
  9. 9.A square garden has an area of 324 square m. How long is each side (in m)?
  10. 10.Find the compound interest on ₹32000 at 10% per year for 3 years, compounded every year (in ₹).
  11. 11.What is ∛729? =
  12. 12.Use a² − b² = (a + b)(a − b) to find 22² − 20².
  13. 13.What is 23²? =
  14. 14.Use a² − b² = (a + b)(a − b) to find 76² − 1².
  15. 15.Find the value of x² − y² when x = 4 and y = 3.
  16. 16.What is the value of 2⁵ × 2⁻³? =
  17. 17.What is the difference between the compound interest and the simple interest on ₹54400 at 15% per year for 2 years (in ₹)?
  18. 18.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  19. 19.Use (a + b)(a − b) = a² − b² to find 84 × 76.
  20. 20.Find the value of x² − 2xy + y² when x = 5 and y = 1.
  21. 21.Use (a + b)² = a² + 2ab + b² to find 74².
  22. 22.What is the smallest whole number by which 294 must be multiplied to get a perfect square?
  23. 23.What amount will ₹12000 grow to in 2 years at 5% per year compound interest (in ₹)?
  24. 24.What is 39²? =
  25. 25.A trapezium has parallel sides of 23 cm and 24 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  26. 26.A trapezium has parallel sides of 20 cm and 6 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  27. 27.Write 7,80,00,000 in standard form as 7.8 × 10ⁿ. What is n?
  28. 28.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  29. 29.What is the value of 10⁶ × 10⁻⁵? =
  30. 30.Find the value of x² + 2xy + y² when x = 6 and y = 1.
  31. 31.A room is 5 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  32. 32.The length of a rectangle is 3 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  33. 33.Find the compound interest on ₹4200 at 25% per year for 1 year, compounded every year (in ₹).
  34. 34.Find the compound interest on ₹37500 at 12% per year for 2 years, compounded every year (in ₹).
  35. 35.Solve: 6p + 4 = 2p + 40. What is p?
  36. 36.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  37. 37.What amount will ₹17200 grow to in 2 years at 5% per year compound interest (in ₹)?
  38. 38.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  39. 39.Find the compound interest on ₹7000 at 10% per year for 3 years, compounded every year (in ₹).
  40. 40.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?

Answer key

  1. 4913
  2. 1024
  3. 0.81
  4. 3
  5. 60
  6. 34
  7. 42
  8. 7
  9. 18
  10. 10592
  11. 9
  12. 84
  13. 529
  14. 5775
  15. 7
  16. 4
  17. 1224
  18. 5
  19. 6384
  20. 16
  21. 5476
  22. 6
  23. 13230
  24. 1521
  25. 47
  26. 221
  27. 7
  28. 12
  29. 10
  30. 49
  31. 130
  32. 24
  33. 1050
  34. 9540
  35. 9
  36. 27
  37. 18963
  38. 7
  39. 2317
  40. 12

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