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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 289 · 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 ∛4096? =
  2. 2.A cuboid is 12 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
  3. 3.What is the smallest whole number by which 405 must be multiplied to get a perfect square?
  4. 4.Find the compound interest on ₹45600 at 5% per year for 2 years, compounded every year (in ₹).
  5. 5.The length of a rectangle is 1 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  6. 6.What is the difference between the compound interest and the simple interest on ₹2500 at 8% per year for 2 years (in ₹)?
  7. 7.Solve: 7y + 2 = 2y + 17. What is y?
  8. 8.The sum of three consecutive whole numbers is 99. What is the smallest of them?
  9. 9.What is the value of 2³? =
  10. 10.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  11. 11.Find the compound interest on ₹31100 at 15% per year for 1 year, compounded every year (in ₹).
  12. 12.Which of these is a perfect cube? (a) 960 (b) 794 (c) 729
  13. 13.1.1 × 10⁶ =
  14. 14.Solve: n/5 + n/2 = 42. What is n?
  15. 15.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  16. 16.A father is 26 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  17. 17.What is the value of 10¹ × 10⁻⁶? =
  18. 18.Solve: 3(p − 2) = p + 16. What is p?
  19. 19.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  20. 20.Find the value of x² + 2xy + y² when x = 3 and y = 2.
  21. 21.Write (3⁸)² as a single power 3ⁿ. What is n?
  22. 22.Use (a + b)² = a² + 2ab + b² to find 104².
  23. 23.What is √6400? =
  24. 24.What is the difference between the compound interest and the simple interest on ₹24800 at 20% per year for 2 years (in ₹)?
  25. 25.A father is 32 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  26. 26.Use (a + b)² = a² + 2ab + b² to find 46².
  27. 27.What is √9216? =
  28. 28.Solve: y/2 + y/3 = 5. What is y?
  29. 29.Which of these is a perfect square? (a) 256 (b) 287 (c) 277
  30. 30.Use a² − b² = (a + b)(a − b) to find 94² − 6².
  31. 31.Write 6.2 × 10⁻³ as a decimal. =
  32. 32.What is 20³? =
  33. 33.A father is 24 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  34. 34.Use (a − b)² = a² − 2ab + b² to find 78².
  35. 35.Which of these is a perfect cube? (a) 512 (b) 567 (c) 635
  36. 36.A cuboid is 4 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
  37. 37.A father is 36 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  38. 38.What is √4356? =
  39. 39.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  40. 40.Solve: 5(n − 5) = 2n + 11. What is n?

Answer key

  1. 16
  2. 358
  3. 5
  4. 4674
  5. 23
  6. 16
  7. 3
  8. 32
  9. 8
  10. 216
  11. 4665
  12. 729
  13. 1100000
  14. 60
  15. 13
  16. 12
  17. 1/100000
  18. 11
  19. 18
  20. 25
  21. 16
  22. 10816
  23. 80
  24. 992
  25. 9
  26. 2116
  27. 96
  28. 6
  29. 256
  30. 8800
  31. 0.0062
  32. 8000
  33. 10
  34. 6084
  35. 512
  36. 202
  37. 6
  38. 66
  39. 8
  40. 12

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