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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 221 · 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.A cuboid is 6 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
  2. 2.A town has 57000 people. The population grows by 15% every year. What will the population be after 1 year?
  3. 3.A father is 34 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?
  4. 4.Solve: 5(n − 3) = 3n + 1. What is n?
  5. 5.Find the compound interest on ₹48000 at 5% per year for 3 years, compounded every year (in ₹).
  6. 6.What is the smallest whole number by which 252 must be divided to get a perfect square?
  7. 7.A scooter is worth ₹42500. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
  8. 8.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  9. 9.What is the difference between the compound interest and the simple interest on ₹16600 at 20% per year for 2 years (in ₹)?
  10. 10.Use a² − b² = (a + b)(a − b) to find 28² − 22².
  11. 11.Solve: p/5 + p/2 = 28. What is p?
  12. 12.Solve: 9n + 7 = 2n + 28. What is n?
  13. 13.Solve: 5(x − 4) = 2x + 19. What is x?
  14. 14.6.2 × 10² =
  15. 15.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  16. 16.Write 4.1 × 10⁻² as a decimal. =
  17. 17.Use (a + b)² = a² + 2ab + b² to find 11².
  18. 18.What is the value of 2³ × 2⁻⁶? =
  19. 19.What is ∛12167? =
  20. 20.What is 6³? =
  21. 21.What is the value of 2³ × 2⁻³? =
  22. 22.What is 13³? =
  23. 23.What is the difference between the compound interest and the simple interest on ₹14000 at 25% per year for 2 years (in ₹)?
  24. 24.Use (a + b)² = a² + 2ab + b² to find 22².
  25. 25.Find the value of x² − 2xy + y² when x = 6 and y = 4.
  26. 26.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  27. 27.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  28. 28.Write (8²)⁷ as a single power 8ⁿ. What is n?
  29. 29.Use (a + b)(a − b) = a² − b² to find 91 × 89.
  30. 30.Find the compound interest on ₹31000 at 10% per year for 3 years, compounded every year (in ₹).
  31. 31.A trapezium has an area of 248 square cm. Its parallel sides are 28 cm and 3 cm. What is the distance between them (in cm)?
  32. 32.Which of these is a perfect square? (a) 173 (b) 171 (c) 169
  33. 33.A town has 45700 people. The population grows by 12% every year. What will the population be after 1 year?
  34. 34.A cuboid is 6 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
  35. 35.How many whole numbers lie between 19² and 20²?
  36. 36.Solve: 3m + 8 = m + 16. What is m?
  37. 37.Solve: x/4 + x/6 = 15. What is x?
  38. 38.What is ∛4096? =
  39. 39.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  40. 40.What is √1936? =

Answer key

  1. 152
  2. 65550
  3. 10
  4. 8
  5. 7566
  6. 7
  7. 35972
  8. 4
  9. 664
  10. 300
  11. 40
  12. 3
  13. 13
  14. 620
  15. 7
  16. 0.041
  17. 121
  18. 1/8
  19. 23
  20. 216
  21. 1
  22. 2197
  23. 875
  24. 484
  25. 4
  26. 1350
  27. 5
  28. 14
  29. 8099
  30. 10261
  31. 16
  32. 169
  33. 51184
  34. 188
  35. 38
  36. 4
  37. 36
  38. 16
  39. 8
  40. 44

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