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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 670 · 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 ₹24800 at 15% per year for 2 years, compounded every year (in ₹).
  2. 2.A trapezium has an area of 104 square cm. Its parallel sides are 4 cm and 9 cm. What is the distance between them (in cm)?
  3. 3.The sum of two consecutive whole numbers is 65. What is the largest of them?
  4. 4.Find the value of x² + 2xy + y² when x = 4 and y = 1.
  5. 5.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  6. 6.Write 6⁶ × 6⁵ as a single power 6ⁿ. What is n?
  7. 7.Write 3.4 × 10⁻¹ as a decimal. =
  8. 8.A room is 8 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  9. 9.If a − b = 1 and ab = 2, what is a² + b²?
  10. 10.What is ∛9261? =
  11. 11.A scooter is worth ₹37600. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
  12. 12.What is 7³? =
  13. 13.3 × 10³ =
  14. 14.A trapezium has an area of 24 square cm. Its parallel sides are 8 cm and 4 cm. What is the distance between them (in cm)?
  15. 15.What is the value of 2⁶? =
  16. 16.What is 2³? =
  17. 17.Solve: x/3 + x/2 = 15. What is x?
  18. 18.A trapezium has parallel sides of 12 cm and 4 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  19. 19.What is the value of (2/9)⁻²? =
  20. 20.What amount will ₹44100 grow to in 2 years at 10% per year compound interest (in ₹)?
  21. 21.Which of these is a perfect square? (a) 729 (b) 746 (c) 767
  22. 22.A scooter is worth ₹16000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
  23. 23.Use a² − b² = (a + b)(a − b) to find 71² − 55².
  24. 24.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  25. 25.Write 770 in standard form as 7.7 × 10ⁿ. What is n?
  26. 26.Use (a − b)² = a² − 2ab + b² to find 61².
  27. 27.A cuboid is 3 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
  28. 28.Write 6⁷ × 6⁴ as a single power 6ⁿ. What is n?
  29. 29.Which of these is a perfect square? (a) 422 (b) 400 (c) 418
  30. 30.1.4 × 10⁶ =
  31. 31.What amount will ₹50900 grow to in 1 year at 12% per year compound interest (in ₹)?
  32. 32.Which of these is a perfect cube? (a) 64 (b) 78 (c) 72
  33. 33.What is the difference between the compound interest and the simple interest on ₹15000 at 8% per year for 2 years (in ₹)?
  34. 34.What is the difference between the compound interest and the simple interest on ₹47200 at 5% per year for 2 years (in ₹)?
  35. 35.Use (a + b)² = a² + 2ab + b² to find 93².
  36. 36.A scooter is worth ₹24000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
  37. 37.A room is 11 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  38. 38.What is the smallest whole number by which 567 must be divided to get a perfect square?
  39. 39.What is the value of 4⁻¹ (as a fraction)? =
  40. 40.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?

Answer key

  1. 7998
  2. 16
  3. 33
  4. 25
  5. 10
  6. 11
  7. 0.34
  8. 136
  9. 5
  10. 21
  11. 33934
  12. 343
  13. 3000
  14. 4
  15. 64
  16. 8
  17. 18
  18. 160
  19. 81/4
  20. 53361
  21. 729
  22. 9826
  23. 2016
  24. 7
  25. 2
  26. 3721
  27. 82
  28. 11
  29. 400
  30. 1400000
  31. 57008
  32. 64
  33. 96
  34. 118
  35. 8649
  36. 20577
  37. 140
  38. 7
  39. 1/4
  40. 14

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