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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 298 · 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.The length of a rectangle is 15 cm more than its width. Its perimeter is 146 cm. What is its width (in cm)?
  2. 2.If a + b = 7 and ab = 12, what is a² + b²?
  3. 3.What is the value of 5⁶? =
  4. 4.What is the value of 2¹⁴? =
  5. 5.A room is 11 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  6. 6.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  7. 7.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  8. 8.Which of these is a perfect cube? (a) 1331 (b) 1450 (c) 1653
  9. 9.If a − b = 6 and ab = 7, what is a² + b²?
  10. 10.Write 3² × 3² as a single power 3ⁿ. What is n?
  11. 11.The length of a rectangle is 3 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  12. 12.What is the value of 8⁵? =
  13. 13.If a + b = 3 and ab = 2, what is a² + b²?
  14. 14.What is the difference between the compound interest and the simple interest on ₹30000 at 12% per year for 2 years (in ₹)?
  15. 15.What is 75²? =
  16. 16.A trapezium has parallel sides of 22 cm and 20 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  17. 17.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  18. 18.Solve: 4(x − 2) = 3x + 8. What is x?
  19. 19.What amount will ₹29700 grow to in 1 year at 8% per year compound interest (in ₹)?
  20. 20.Solve: y/3 + y/5 = 8. What is y?
  21. 21.What is 16³? =
  22. 22.Write 2 × 10⁻² as a decimal. =
  23. 23.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  24. 24.What is the value of (5/8)⁻¹? =
  25. 25.Find the compound interest on ₹56000 at 5% per year for 3 years, compounded every year (in ₹).
  26. 26.How many whole numbers lie between 33² and 34²?
  27. 27.A trapezium has parallel sides of 4 cm and 21 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  28. 28.What is the value of 6⁻³ (as a fraction)? =
  29. 29.Find the compound interest on ₹4000 at 10% per year for 3 years, compounded every year (in ₹).
  30. 30.A cuboid is 3 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
  31. 31.Find the compound interest on ₹22000 at 10% per year for 1 year, compounded every year (in ₹).
  32. 32.What is the value of 5³ × 5⁻⁵? =
  33. 33.Find the compound interest on ₹7500 at 12% per year for 2 years, compounded every year (in ₹).
  34. 34.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  35. 35.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
  36. 36.A square garden has an area of 3481 square m. How long is each side (in m)?
  37. 37.The sum of four consecutive whole numbers is 50. What is the smallest of them?
  38. 38.Write 8 × 10⁻² as a decimal. =
  39. 39.What is the value of 4⁴? =
  40. 40.Solve: 6(x − 1) = x + 39. What is x?

Answer key

  1. 29
  2. 25
  3. 15625
  4. 16384
  5. 140
  6. 486
  7. 2646
  8. 1331
  9. 50
  10. 4
  11. 5
  12. 32768
  13. 5
  14. 432
  15. 5625
  16. 399
  17. 17
  18. 16
  19. 32076
  20. 15
  21. 4096
  22. 0.02
  23. 6
  24. 8/5
  25. 8827
  26. 66
  27. 250
  28. 1/216
  29. 1324
  30. 312
  31. 2200
  32. 1/25
  33. 1908
  34. 9
  35. 361
  36. 59
  37. 11
  38. 0.08
  39. 256
  40. 9

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