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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 124 · 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 big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  2. 2.How many whole numbers lie between 26² and 27²?
  3. 3.A scooter is worth ₹2500. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
  4. 4.Use a² − b² = (a + b)(a − b) to find 38² − 1².
  5. 5.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  6. 6.What amount will ₹10600 grow to in 1 year at 12% per year compound interest (in ₹)?
  7. 7.What is the value of 3² × 3⁻¹? =
  8. 8.A scooter is worth ₹10700. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
  9. 9.5.5 × 10² =
  10. 10.Use a² − b² = (a + b)(a − b) to find 98² − 9².
  11. 11.What is 19²? =
  12. 12.Write 3,300 in standard form as 3.3 × 10ⁿ. What is n?
  13. 13.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  14. 14.Solve: 6p + 20 = 4p + 22. What is p?
  15. 15.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?
  16. 16.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  17. 17.Write 2² × 2² as a single power 2ⁿ. What is n?
  18. 18.What is the difference between the compound interest and the simple interest on ₹32800 at 25% per year for 2 years (in ₹)?
  19. 19.Solve: x/3 + x/4 = 14. What is x?
  20. 20.The sum of four consecutive whole numbers is 42. What is the largest of them?
  21. 21.What is ∛512? =
  22. 22.A room is 7 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  23. 23.What is the difference between the compound interest and the simple interest on ₹50000 at 25% per year for 2 years (in ₹)?
  24. 24.What amount will ₹2700 grow to in 1 year at 20% per year compound interest (in ₹)?
  25. 25.A father is 10 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  26. 26.Use a² − b² = (a + b)(a − b) to find 43² − 42².
  27. 27.Solve: 5x + 20 = x + 56. What is x?
  28. 28.Solve: 9n + 17 = 2n + 122. What is n?
  29. 29.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  30. 30.What is the value of 8⁻² (as a fraction)? =
  31. 31.A scooter is worth ₹45000. Its value falls by 4% every year. What will it be worth after 2 years (in ₹)?
  32. 32.Solve: 9t + 11 = 6t + 56. What is t?
  33. 33.Solve: 7t + 10 = 4t + 43. What is t?
  34. 34.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  35. 35.What is the value of 2⁻⁸ (as a fraction)? =
  36. 36.What is the value of 10⁴ × 10⁻⁵? =
  37. 37.How many whole numbers lie between 5² and 6²?
  38. 38.A cuboid is 10 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
  39. 39.The diagonals of a rhombus are 12 cm and 5 cm. What is its area (in square cm)?
  40. 40.Use (a − b)² = a² − 2ab + b² to find 18².

Answer key

  1. 27
  2. 52
  3. 2116
  4. 1443
  5. 216
  6. 11872
  7. 3
  8. 6848
  9. 550
  10. 9523
  11. 361
  12. 3
  13. 25
  14. 1
  15. 400
  16. 9
  17. 4
  18. 2050
  19. 24
  20. 12
  21. 8
  22. 170
  23. 3125
  24. 3240
  25. 4
  26. 85
  27. 9
  28. 15
  29. 4
  30. 1/64
  31. 41472
  32. 15
  33. 11
  34. 25
  35. 1/256
  36. 1/10
  37. 10
  38. 304
  39. 30
  40. 324

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