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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 189 · 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 the difference between the compound interest and the simple interest on ₹18800 at 15% per year for 2 years (in ₹)?
  2. 2.A trapezium has an area of 144 square cm. Its parallel sides are 10 cm and 26 cm. What is the distance between them (in cm)?
  3. 3.What is 6³? =
  4. 4.Find the compound interest on ₹57900 at 25% per year for 1 year, compounded every year (in ₹).
  5. 5.The length of a rectangle is 15 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  6. 6.What is 3³? =
  7. 7.Find the value of x² + 2xy + y² when x = 8 and y = 7.
  8. 8.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  9. 9.Write 1.7 × 10⁻² as a decimal. =
  10. 10.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  11. 11.What is 7³? =
  12. 12.What is √841? =
  13. 13.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  14. 14.What amount will ₹52500 grow to in 2 years at 4% per year compound interest (in ₹)?
  15. 15.A cuboid is 8 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
  16. 16.A town has 56000 people. The population grows by 15% every year. What will the population be after 3 years?
  17. 17.A scooter is worth ₹29700. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
  18. 18.Write 9.9 × 10⁻⁴ as a decimal. =
  19. 19.A trapezium has parallel sides of 6 cm and 14 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  20. 20.What is the value of 9⁻¹ (as a fraction)? =
  21. 21.Write (8⁵)⁶ as a single power 8ⁿ. What is n?
  22. 22.Write 3.4 × 10⁻¹ as a decimal. =
  23. 23.Find the value of x² + 2xy + y² when x = 14 and y = 12.
  24. 24.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
  25. 25.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  26. 26.Find the compound interest on ₹40400 at 8% per year for 1 year, compounded every year (in ₹).
  27. 27.If a + b = 4 and ab = 3, what is a² + b²?
  28. 28.A cuboid is 5 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
  29. 29.A square garden has an area of 784 square m. How long is each side (in m)?
  30. 30.What is the difference between the compound interest and the simple interest on ₹10000 at 8% per year for 2 years (in ₹)?
  31. 31.What is √2401? =
  32. 32.What is the value of 2⁻⁵ (as a fraction)? =
  33. 33.What is the value of 10⁻² (as a fraction)? =
  34. 34.What is the value of 2⁴? =
  35. 35.What is the value of 10² × 10⁻²? =
  36. 36.Find the value of x² + 2xy + y² when x = 13 and y = 10.
  37. 37.The length of a rectangle is 5 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  38. 38.A trapezium has parallel sides of 24 cm and 22 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  39. 39.How many whole numbers lie between 37² and 38²?
  40. 40.What is 16³? =

Answer key

  1. 423
  2. 8
  3. 216
  4. 14475
  5. 14
  6. 27
  7. 225
  8. 64
  9. 0.017
  10. 2904
  11. 343
  12. 29
  13. 4
  14. 56784
  15. 132
  16. 85169
  17. 28215
  18. 0.00099
  19. 40
  20. 1/9
  21. 30
  22. 0.34
  23. 676
  24. 324
  25. 15
  26. 3232
  27. 10
  28. 126
  29. 28
  30. 64
  31. 49
  32. 1/32
  33. 1/100
  34. 16
  35. 1
  36. 529
  37. 28
  38. 115
  39. 74
  40. 4096

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