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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 401 · 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 √441? =
  2. 2.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  3. 3.What is 13³? =
  4. 4.How many whole numbers lie between 16² and 17²?
  5. 5.Use a² − b² = (a + b)(a − b) to find 79² − 3².
  6. 6.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  7. 7.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  8. 8.A trapezium has parallel sides of 29 cm and 7 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  9. 9.Which of these is a perfect square? (a) 1092 (b) 1121 (c) 1089
  10. 10.A cuboid is 3 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
  11. 11.A town has 5000 people. The population grows by 20% every year. What will the population be after 3 years?
  12. 12.What is ∛1728? =
  13. 13.A square garden has an area of 3481 square m. How long is each side (in m)?
  14. 14.The length of a rectangle is 12 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  15. 15.Find the compound interest on ₹31500 at 10% per year for 1 year, compounded every year (in ₹).
  16. 16.A room is 4 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  17. 17.How many whole numbers lie between 21² and 22²?
  18. 18.What is 20³? =
  19. 19.What is the value of 5⁴? =
  20. 20.What is the value of 5² × 5⁻¹? =
  21. 21.What is the difference between the compound interest and the simple interest on ₹45000 at 12% per year for 2 years (in ₹)?
  22. 22.What is √5041? =
  23. 23.A trapezium has parallel sides of 25 cm and 16 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  24. 24.Find the value of x² + 2xy + y² when x = 14 and y = 8.
  25. 25.Find the compound interest on ₹36000 at 10% per year for 3 years, compounded every year (in ₹).
  26. 26.Write (6⁹)⁵ as a single power 6ⁿ. What is n?
  27. 27.The sum of two consecutive whole numbers is 25. What is the largest of them?
  28. 28.Which of these is a perfect cube? (a) 321 (b) 303 (c) 216
  29. 29.A square garden has an area of 3364 square m. How long is each side (in m)?
  30. 30.What is √1764? =
  31. 31.The length of a rectangle is 3 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  32. 32.Solve: 5(x − 4) = 3x + 24. What is x?
  33. 33.What is 92²? =
  34. 34.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  35. 35.Use (a + b)² = a² + 2ab + b² to find 65².
  36. 36.Which of these is a perfect cube? (a) 561 (b) 512 (c) 678
  37. 37.Solve: 4(x − 2) = 3x + 5. What is x?
  38. 38.Write 1.9 × 10⁻¹ as a decimal. =
  39. 39.Write 7.2 × 10⁻² as a decimal. =
  40. 40.A father is 8 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?

Answer key

  1. 21
  2. 216
  3. 2197
  4. 32
  5. 6232
  6. 7
  7. 4
  8. 126
  9. 1089
  10. 246
  11. 8640
  12. 12
  13. 59
  14. 18
  15. 3150
  16. 64
  17. 42
  18. 8000
  19. 625
  20. 5
  21. 648
  22. 71
  23. 369
  24. 484
  25. 11916
  26. 45
  27. 13
  28. 216
  29. 58
  30. 42
  31. 7
  32. 22
  33. 8464
  34. 18
  35. 4225
  36. 512
  37. 13
  38. 0.19
  39. 0.072
  40. 7

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