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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 212 · 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.Find the compound interest on ₹56000 at 15% per year for 3 years, compounded every year (in ₹).
  2. 2.What is the difference between the compound interest and the simple interest on ₹3200 at 25% per year for 2 years (in ₹)?
  3. 3.If a − b = 6 and ab = 55, what is a² + b²?
  4. 4.Write (5³)³ as a single power 5ⁿ. What is n?
  5. 5.A scooter is worth ₹9000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
  6. 6.What is 20³? =
  7. 7.Which of these is a perfect cube? (a) 1728 (b) 1896 (c) 1733
  8. 8.What is 32²? =
  9. 9.Use (a + b)² = a² + 2ab + b² to find 75².
  10. 10.The length of a rectangle is 5 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  11. 11.Find the compound interest on ₹15000 at 10% per year for 3 years, compounded every year (in ₹).
  12. 12.What is ∛8? =
  13. 13.What is the value of 3¹ × 3⁻²? =
  14. 14.A trapezium has an area of 51 square cm. Its parallel sides are 24 cm and 10 cm. What is the distance between them (in cm)?
  15. 15.Write 9.2 × 10⁻² as a decimal. =
  16. 16.Solve: y/2 + y/3 = 15. What is y?
  17. 17.Write 9.5 × 10⁻⁴ as a decimal. =
  18. 18.What is ∛27? =
  19. 19.Write 6.4 × 10⁻¹ as a decimal. =
  20. 20.What is the smallest whole number by which 32 must be divided to get a perfect square?
  21. 21.A scooter is worth ₹16600. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
  22. 22.What is 81²? =
  23. 23.The length of a rectangle is 15 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  24. 24.Write 9² × 9⁹ as a single power 9ⁿ. What is n?
  25. 25.What is the smallest whole number by which 891 must be divided to get a perfect square?
  26. 26.Solve: 5(x − 3) = 4x + 7. What is x?
  27. 27.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  28. 28.Which of these is a perfect square? (a) 313 (b) 289 (c) 311
  29. 29.Find the value of x² − y² when x = 11 and y = 4.
  30. 30.Use (a + b)(a − b) = a² − b² to find 45 × 35.
  31. 31.The diagonals of a rhombus are 10 cm and 16 cm. What is its area (in square cm)?
  32. 32.A scooter is worth ₹24000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
  33. 33.What is 14³? =
  34. 34.Solve: 8y + 15 = 4y + 35. What is y?
  35. 35.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  36. 36.Use a² − b² = (a + b)(a − b) to find 72² − 60².
  37. 37.A trapezium has parallel sides of 25 cm and 7 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  38. 38.How many whole numbers lie between 7² and 8²?
  39. 39.Which of these is a perfect cube? (a) 125 (b) 156 (c) 142
  40. 40.A trapezium has parallel sides of 19 cm and 8 cm, and the distance between them is 12 cm. What is its area (in square cm)?

Answer key

  1. 29169
  2. 200
  3. 146
  4. 9
  5. 6561
  6. 8000
  7. 1728
  8. 1024
  9. 5625
  10. 11
  11. 4965
  12. 2
  13. 1/3
  14. 3
  15. 0.092
  16. 18
  17. 0.00095
  18. 3
  19. 0.64
  20. 2
  21. 14110
  22. 6561
  23. 25
  24. 11
  25. 11
  26. 22
  27. 5
  28. 289
  29. 105
  30. 1575
  31. 80
  32. 14739
  33. 2744
  34. 5
  35. 64
  36. 1584
  37. 176
  38. 14
  39. 125
  40. 162

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