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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 423 · 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 √4096? =
  2. 2.Which of these is a perfect square? (a) 1600 (b) 1625 (c) 1614
  3. 3.Use a² − b² = (a + b)(a − b) to find 80² − 34².
  4. 4.Find the compound interest on ₹24500 at 5% per year for 1 year, compounded every year (in ₹).
  5. 5.Which of these is a perfect cube? (a) 373 (b) 376 (c) 343
  6. 6.Solve: p/4 + p/5 = 36. What is p?
  7. 7.Solve: 9p + 5 = 2p + 68. What is p?
  8. 8.What is the value of 3⁵? =
  9. 9.Write 1.5 × 10⁻¹ as a decimal. =
  10. 10.Use (a + b)(a − b) = a² − b² to find 63 × 57.
  11. 11.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  12. 12.What is the difference between the compound interest and the simple interest on ₹13200 at 5% per year for 2 years (in ₹)?
  13. 13.A room is 10 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  14. 14.The length of a rectangle is 6 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  15. 15.What is the difference between the compound interest and the simple interest on ₹9200 at 15% per year for 2 years (in ₹)?
  16. 16.Solve: n/4 + n/6 = 30. What is n?
  17. 17.A trapezium has an area of 357 square cm. Its parallel sides are 26 cm and 16 cm. What is the distance between them (in cm)?
  18. 18.Solve: 5x + 5 = 3x + 31. What is x?
  19. 19.What is the value of 2⁴ × 2⁻³? =
  20. 20.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  21. 21.What is 18³? =
  22. 22.If a − b = 3 and ab = 18, what is a² + b²?
  23. 23.The diagonals of a rhombus are 22 cm and 16 cm. What is its area (in square cm)?
  24. 24.A town has 53500 people. The population grows by 20% every year. What will the population be after 3 years?
  25. 25.A trapezium has parallel sides of 19 cm and 27 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  26. 26.A scooter is worth ₹30500. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
  27. 27.Write 8.1 × 10⁻⁴ as a decimal. =
  28. 28.Use (a + b)(a − b) = a² − b² to find 104 × 96.
  29. 29.What is 92²? =
  30. 30.How many whole numbers lie between 46² and 47²?
  31. 31.What is 78²? =
  32. 32.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  33. 33.Use a² − b² = (a + b)(a − b) to find 41² − 28².
  34. 34.The length of a rectangle is 10 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  35. 35.Which of these is a perfect cube? (a) 1617 (b) 1364 (c) 1331
  36. 36.What is the value of (4/5)⁻²? =
  37. 37.Find the compound interest on ₹12700 at 15% per year for 1 year, compounded every year (in ₹).
  38. 38.A trapezium has parallel sides of 10 cm and 3 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  39. 39.What is √196? =
  40. 40.What is the value of 2¹⁶? =

Answer key

  1. 64
  2. 1600
  3. 5244
  4. 1225
  5. 343
  6. 80
  7. 9
  8. 243
  9. 0.15
  10. 3591
  11. 4
  12. 33
  13. 128
  14. 20
  15. 207
  16. 72
  17. 17
  18. 13
  19. 2
  20. 13
  21. 5832
  22. 45
  23. 176
  24. 92448
  25. 92
  26. 15616
  27. 0.00081
  28. 9984
  29. 8464
  30. 92
  31. 6084
  32. 12
  33. 897
  34. 19
  35. 1331
  36. 25/16
  37. 1905
  38. 39
  39. 14
  40. 65536

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