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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 636 · 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 sum of four consecutive whole numbers is 146. What is the smallest of them?
  2. 2.A cuboid is 15 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
  3. 3.A town has 53300 people. The population grows by 15% every year. What will the population be after 1 year?
  4. 4.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  5. 5.Write 6.4 × 10⁻³ as a decimal. =
  6. 6.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  7. 7.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  8. 8.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  9. 9.Write 39,000 in standard form as 3.9 × 10ⁿ. What is n?
  10. 10.What is the difference between the compound interest and the simple interest on ₹17500 at 8% per year for 2 years (in ₹)?
  11. 11.What is 12³? =
  12. 12.A father is 22 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?
  13. 13.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  14. 14.What is the difference between the compound interest and the simple interest on ₹2100 at 10% per year for 2 years (in ₹)?
  15. 15.What is the smallest whole number by which 245 must be multiplied to get a perfect square?
  16. 16.Solve: 6(p − 3) = 3p + 3. What is p?
  17. 17.The length of a rectangle is 1 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  18. 18.What is √9801? =
  19. 19.Write (5²)⁹ as a single power 5ⁿ. What is n?
  20. 20.What is 14³? =
  21. 21.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
  22. 22.What is the value of 3² × 3⁻³? =
  23. 23.What is √3969? =
  24. 24.Solve: 3(n − 3) = n + 5. What is n?
  25. 25.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  26. 26.Solve: 6(x − 5) = 5x + 10. What is x?
  27. 27.What is ∛6859? =
  28. 28.A town has 47500 people. The population grows by 8% every year. What will the population be after 2 years?
  29. 29.Find the value of x² − 2xy + y² when x = 15 and y = 10.
  30. 30.A trapezium has parallel sides of 23 cm and 14 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  31. 31.A trapezium has parallel sides of 6 cm and 8 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  32. 32.Find the compound interest on ₹5000 at 10% per year for 1 year, compounded every year (in ₹).
  33. 33.What is 11³? =
  34. 34.Write 3,90,00,000 in standard form as 3.9 × 10ⁿ. What is n?
  35. 35.What is 18³? =
  36. 36.A father is 12 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  37. 37.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.The sum of two consecutive whole numbers is 27. What is the smallest of them?
  39. 39.The sum of four consecutive whole numbers is 74. What is the largest of them?
  40. 40.Find the value of x² − 2xy + y² when x = 9 and y = 2.

Answer key

  1. 35
  2. 414
  3. 61295
  4. 6
  5. 0.0064
  6. 9
  7. 5
  8. 5
  9. 4
  10. 112
  11. 1728
  12. 10
  13. 96
  14. 21
  15. 5
  16. 7
  17. 7
  18. 99
  19. 18
  20. 2744
  21. 121
  22. 1/3
  23. 63
  24. 7
  25. 6
  26. 40
  27. 19
  28. 55404
  29. 25
  30. 259
  31. 119
  32. 500
  33. 1331
  34. 7
  35. 5832
  36. 3
  37. 216
  38. 13
  39. 20
  40. 49

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