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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 939 · 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.Use a² − b² = (a + b)(a − b) to find 24² − 17².
  2. 2.Write 8⁸ × 8⁹ as a single power 8ⁿ. What is n?
  3. 3.How many whole numbers lie between 37² and 38²?
  4. 4.Use (a + b)² = a² + 2ab + b² to find 92².
  5. 5.A square garden has an area of 1521 square m. How long is each side (in m)?
  6. 6.Use (a + b)² = a² + 2ab + b² to find 106².
  7. 7.Solve: 6(t − 1) = 3t + 9. What is t?
  8. 8.Use (a − b)² = a² − 2ab + b² to find 31².
  9. 9.What is 13³? =
  10. 10.What is √324? =
  11. 11.What amount will ₹5000 grow to in 2 years at 8% per year compound interest (in ₹)?
  12. 12.Solve: 4n + 15 = 2n + 43. What is n?
  13. 13.Solve: 3(t − 1) = t + 21. What is t?
  14. 14.If a − b = 2 and ab = 8, what is a² + b²?
  15. 15.Solve: m/3 + m/4 = 21. What is m?
  16. 16.What is the value of 5³? =
  17. 17.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  18. 18.Find the compound interest on ₹51500 at 5% per year for 1 year, compounded every year (in ₹).
  19. 19.What is the value of 2⁸? =
  20. 20.What is the value of (2/5)⁻¹? =
  21. 21.A scooter is worth ₹2600. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
  22. 22.A trapezium has an area of 117 square cm. Its parallel sides are 19 cm and 20 cm. What is the distance between them (in cm)?
  23. 23.The length of a rectangle is 10 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  24. 24.What is 12²? =
  25. 25.A trapezium has parallel sides of 10 cm and 26 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  26. 26.What is the value of 2¹⁰? =
  27. 27.Write 20,00,000 in standard form as 2 × 10ⁿ. What is n?
  28. 28.Write 3.6 × 10⁻³ as a decimal. =
  29. 29.What is the value of 2²? =
  30. 30.Which of these is a perfect square? (a) 723 (b) 712 (c) 676
  31. 31.What is 2³? =
  32. 32.A trapezium has parallel sides of 30 cm and 8 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  33. 33.A cuboid is 4 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
  34. 34.What is the difference between the compound interest and the simple interest on ₹2500 at 8% per year for 2 years (in ₹)?
  35. 35.If a − b = 2 and ab = 3, what is a² + b²?
  36. 36.Solve: 4n + 20 = 2n + 46. What is n?
  37. 37.Write 5¹¹ ÷ 5⁵ as a single power 5ⁿ. What is n?
  38. 38.What is 9³? =
  39. 39.The sum of three consecutive whole numbers is 162. What is the smallest of them?
  40. 40.A scooter is worth ₹46500. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?

Answer key

  1. 287
  2. 17
  3. 74
  4. 8464
  5. 39
  6. 11236
  7. 5
  8. 961
  9. 2197
  10. 18
  11. 5832
  12. 14
  13. 12
  14. 20
  15. 36
  16. 125
  17. 27
  18. 2575
  19. 256
  20. 5/2
  21. 1950
  22. 6
  23. 14
  24. 144
  25. 360
  26. 1024
  27. 6
  28. 0.0036
  29. 4
  30. 676
  31. 8
  32. 266
  33. 320
  34. 16
  35. 10
  36. 13
  37. 6
  38. 729
  39. 53
  40. 39525

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