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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 468 · 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.What is 4³? =
  2. 2.What is √8281? =
  3. 3.A trapezium has parallel sides of 5 cm and 19 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  4. 4.A scooter is worth ₹5400. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
  5. 5.Solve: 3(x − 5) = x + 13. What is x?
  6. 6.The sum of two consecutive whole numbers is 67. What is the smallest of them?
  7. 7.Use (a − b)² = a² − 2ab + b² to find 32².
  8. 8.What is the value of (1/2)⁻¹? =
  9. 9.What is √961? =
  10. 10.How many whole numbers lie between 40² and 41²?
  11. 11.What is the value of (1/3)⁻¹? =
  12. 12.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  13. 13.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  14. 14.What is the value of 2⁻¹ (as a fraction)? =
  15. 15.Write (6⁵)⁹ as a single power 6ⁿ. What is n?
  16. 16.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  17. 17.What is 52²? =
  18. 18.What is the value of 10⁴? =
  19. 19.Solve: 6(x − 1) = x + 9. What is x?
  20. 20.A trapezium has parallel sides of 25 cm and 21 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  21. 21.Find the value of x² + 2xy + y² when x = 7 and y = 5.
  22. 22.Use (a + b)² = a² + 2ab + b² to find 92².
  23. 23.Use a² − b² = (a + b)(a − b) to find 42² − 10².
  24. 24.A trapezium has parallel sides of 27 cm and 26 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  25. 25.Write 9⁶ × 9⁸ as a single power 9ⁿ. What is n?
  26. 26.What is the value of 2⁴ × 2⁻²? =
  27. 27.Solve: m/4 + m/3 = 42. What is m?
  28. 28.What is the smallest whole number by which 704 must be divided to get a perfect square?
  29. 29.Solve: 4y + 12 = y + 42. What is y?
  30. 30.Write 4.6 × 10⁻² as a decimal. =
  31. 31.How many whole numbers lie between 39² and 40²?
  32. 32.A town has 51500 people. The population grows by 20% every year. What will the population be after 3 years?
  33. 33.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  34. 34.Use (a + b)(a − b) = a² − b² to find 73 × 67.
  35. 35.What is the difference between the compound interest and the simple interest on ₹27500 at 4% per year for 2 years (in ₹)?
  36. 36.What is the difference between the compound interest and the simple interest on ₹12000 at 5% per year for 2 years (in ₹)?
  37. 37.Solve: 9p + 1 = 6p + 40. What is p?
  38. 38.Solve: x/5 + x/2 = 21. What is x?
  39. 39.Solve: 3(x − 2) = 2x + 8. What is x?
  40. 40.If a − b = 1 and ab = 12, what is a² + b²?

Answer key

  1. 64
  2. 91
  3. 84
  4. 4590
  5. 14
  6. 33
  7. 1024
  8. 2
  9. 31
  10. 80
  11. 3
  12. 96
  13. 15
  14. 1/2
  15. 45
  16. 10
  17. 2704
  18. 10000
  19. 3
  20. 276
  21. 144
  22. 8464
  23. 1664
  24. 530
  25. 14
  26. 4
  27. 72
  28. 11
  29. 10
  30. 0.046
  31. 78
  32. 88992
  33. 1734
  34. 4891
  35. 44
  36. 30
  37. 13
  38. 30
  39. 14
  40. 25

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