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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 245 · 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.Use (a − b)² = a² − 2ab + b² to find 95².
  2. 2.Use (a − b)² = a² − 2ab + b² to find 19².
  3. 3.Use (a + b)(a − b) = a² − b² to find 84 × 76.
  4. 4.Write 2.3 × 10⁻² as a decimal. =
  5. 5.Solve: 4x + 6 = 3x + 16. What is x?
  6. 6.A father is 13 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  7. 7.Write 6³ × 6⁴ as a single power 6ⁿ. What is n?
  8. 8.A square garden has an area of 1225 square m. How long is each side (in m)?
  9. 9.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  10. 10.What is 41²? =
  11. 11.What amount will ₹8100 grow to in 1 year at 15% per year compound interest (in ₹)?
  12. 12.The sum of three consecutive whole numbers is 45. What is the largest of them?
  13. 13.A square garden has an area of 1296 square m. How long is each side (in m)?
  14. 14.A town has 13700 people. The population grows by 25% every year. What will the population be after 1 year?
  15. 15.A trapezium has parallel sides of 27 cm and 2 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  16. 16.What is the value of 6⁵? =
  17. 17.What is √2209? =
  18. 18.A trapezium has an area of 112 square cm. Its parallel sides are 8 cm and 24 cm. What is the distance between them (in cm)?
  19. 19.6.1 × 10⁵ =
  20. 20.Use (a − b)² = a² − 2ab + b² to find 87².
  21. 21.The length of a rectangle is 3 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
  22. 22.Solve: 4(y − 3) = 2y + 2. What is y?
  23. 23.What is 12³? =
  24. 24.What is √4096? =
  25. 25.Use (a + b)(a − b) = a² − b² to find 31 × 29.
  26. 26.Write 2.2 × 10⁻² as a decimal. =
  27. 27.What is the value of 3⁸? =
  28. 28.Write (7⁶)⁸ as a single power 7ⁿ. What is n?
  29. 29.Solve: 7y + 11 = 4y + 44. What is y?
  30. 30.Use (a + b)(a − b) = a² − b² to find 45 × 35.
  31. 31.What is √169? =
  32. 32.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  33. 33.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  34. 34.Which of these is a perfect square? (a) 829 (b) 784 (c) 814
  35. 35.What is ∛6859? =
  36. 36.What is the difference between the compound interest and the simple interest on ₹15000 at 8% per year for 2 years (in ₹)?
  37. 37.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  38. 38.Use (a − b)² = a² − 2ab + b² to find 13².
  39. 39.What is the difference between the compound interest and the simple interest on ₹7500 at 8% per year for 2 years (in ₹)?
  40. 40.Use (a + b)² = a² + 2ab + b² to find 38².

Answer key

  1. 9025
  2. 361
  3. 6384
  4. 0.023
  5. 10
  6. 10
  7. 7
  8. 35
  9. 11
  10. 1681
  11. 9315
  12. 16
  13. 36
  14. 17125
  15. 87
  16. 7776
  17. 47
  18. 7
  19. 610000
  20. 7569
  21. 2
  22. 7
  23. 1728
  24. 64
  25. 899
  26. 0.022
  27. 6561
  28. 48
  29. 11
  30. 1575
  31. 13
  32. 8
  33. 27
  34. 784
  35. 19
  36. 96
  37. 25
  38. 169
  39. 48
  40. 1444

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