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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 561 · 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 diagonals of a rhombus are 26 cm and 14 cm. What is its area (in square cm)?
  2. 2.Solve: 6(x − 4) = x + 1. What is x?
  3. 3.Use (a + b)² = a² + 2ab + b² to find 44².
  4. 4.A trapezium has an area of 299 square cm. Its parallel sides are 26 cm and 20 cm. What is the distance between them (in cm)?
  5. 5.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  6. 6.Solve: 4p + 19 = p + 46. What is p?
  7. 7.What is the difference between the compound interest and the simple interest on ₹49200 at 5% per year for 2 years (in ₹)?
  8. 8.What is √5476? =
  9. 9.How many whole numbers lie between 48² and 49²?
  10. 10.Use (a + b)(a − b) = a² − b² to find 84 × 76.
  11. 11.Solve: 3p + 11 = 2p + 17. What is p?
  12. 12.What is √5776? =
  13. 13.Solve: 3(x − 1) = 2x + 12. What is x?
  14. 14.What amount will ₹14800 grow to in 2 years at 25% per year compound interest (in ₹)?
  15. 15.The sum of four consecutive whole numbers is 150. What is the smallest of them?
  16. 16.A trapezium has parallel sides of 18 cm and 15 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  17. 17.Write 7.4 × 10⁻² as a decimal. =
  18. 18.What is the difference between the compound interest and the simple interest on ₹21200 at 15% per year for 2 years (in ₹)?
  19. 19.Solve: y/4 + y/2 = 21. What is y?
  20. 20.What is the value of (3/5)⁻¹? =
  21. 21.What is ∛9261? =
  22. 22.What is ∛2744? =
  23. 23.What is √1849? =
  24. 24.What is 18³? =
  25. 25.If a + b = 3 and ab = 2, what is a² + b²?
  26. 26.What is ∛13824? =
  27. 27.A scooter is worth ₹51800. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
  28. 28.How many whole numbers lie between 14² and 15²?
  29. 29.The length of a rectangle is 6 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  30. 30.What is the value of 3⁶? =
  31. 31.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  32. 32.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  33. 33.A trapezium has parallel sides of 25 cm and 2 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  34. 34.A town has 44000 people. The population grows by 15% every year. What will the population be after 1 year?
  35. 35.Find the value of x² − 2xy + y² when x = 3 and y = 1.
  36. 36.What amount will ₹33800 grow to in 1 year at 15% per year compound interest (in ₹)?
  37. 37.Solve: 9x + 11 = 6x + 41. What is x?
  38. 38.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
  39. 39.What is the smallest whole number by which 18 must be multiplied to get a perfect square?
  40. 40.Write 8¹⁸ ÷ 8⁹ as a single power 8ⁿ. What is n?

Answer key

  1. 182
  2. 5
  3. 1936
  4. 13
  5. 20
  6. 9
  7. 123
  8. 74
  9. 96
  10. 6384
  11. 6
  12. 76
  13. 15
  14. 23125
  15. 36
  16. 66
  17. 0.074
  18. 477
  19. 28
  20. 5/3
  21. 21
  22. 14
  23. 43
  24. 5832
  25. 5
  26. 24
  27. 41958
  28. 28
  29. 26
  30. 729
  31. 27
  32. 9
  33. 81
  34. 50600
  35. 4
  36. 38870
  37. 10
  38. 289
  39. 2
  40. 9

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