← Class 8 final maths test lesson New set →

Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 819 · 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.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  2. 2.Use (a + b)(a − b) = a² − b² to find 52 × 48.
  3. 3.The sum of two consecutive whole numbers is 97. What is the smallest of them?
  4. 4.Solve: 4(y − 5) = 3y + 8. What is y?
  5. 5.A father is 20 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  6. 6.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  7. 7.A square garden has an area of 1849 square m. How long is each side (in m)?
  8. 8.A cuboid is 4 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
  9. 9.A town has 60000 people. The population grows by 10% every year. What will the population be after 3 years?
  10. 10.If a + b = 5 and ab = 4, what is a² + b²?
  11. 11.What is the value of 2¹⁴? =
  12. 12.8.1 × 10⁵ =
  13. 13.Which of these is a perfect cube? (a) 2744 (b) 3160 (c) 3206
  14. 14.What is the value of (2/7)⁻²? =
  15. 15.A trapezium has parallel sides of 22 cm and 18 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  16. 16.What is ∛8? =
  17. 17.Which of these is a perfect square? (a) 256 (b) 277 (c) 270
  18. 18.Solve: 7y + 11 = 2y + 16. What is y?
  19. 19.How many whole numbers lie between 42² and 43²?
  20. 20.Which of these is a perfect square? (a) 448 (b) 441 (c) 454
  21. 21.Use (a − b)² = a² − 2ab + b² to find 23².
  22. 22.A scooter is worth ₹24000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
  23. 23.A cuboid is 7 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
  24. 24.Which of these is a perfect square? (a) 529 (b) 556 (c) 547
  25. 25.Write 1.7 × 10⁻³ as a decimal. =
  26. 26.If a + b = 15 and ab = 36, what is a² + b²?
  27. 27.A town has 53200 people. The population grows by 5% every year. What will the population be after 2 years?
  28. 28.The length of a rectangle is 11 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  29. 29.Write 2⁸ ÷ 2⁴ as a single power 2ⁿ. What is n?
  30. 30.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  31. 31.If a − b = 2 and ab = 3, what is a² + b²?
  32. 32.What is ∛12167? =
  33. 33.What is the value of (2/7)⁻¹? =
  34. 34.Use (a − b)² = a² − 2ab + b² to find 56².
  35. 35.Write 3.8 × 10⁻² as a decimal. =
  36. 36.Use a² − b² = (a + b)(a − b) to find 61² − 46².
  37. 37.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  39. 39.Find the compound interest on ₹30000 at 5% per year for 2 years, compounded every year (in ₹).
  40. 40.A trapezium has an area of 54 square cm. Its parallel sides are 25 cm and 2 cm. What is the distance between them (in cm)?

Answer key

  1. 384
  2. 2496
  3. 48
  4. 28
  5. 5
  6. 17
  7. 43
  8. 168
  9. 79860
  10. 17
  11. 16384
  12. 810000
  13. 2744
  14. 49/4
  15. 100
  16. 2
  17. 256
  18. 1
  19. 84
  20. 441
  21. 529
  22. 14739
  23. 172
  24. 529
  25. 0.0017
  26. 153
  27. 58653
  28. 2
  29. 4
  30. 8
  31. 10
  32. 23
  33. 7/2
  34. 3136
  35. 0.038
  36. 1605
  37. 125
  38. 7
  39. 3075
  40. 4

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets