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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 710 · 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 ₹58900 at 4% per year for 1 year, compounded every year (in ₹).
  2. 2.What is 5³? =
  3. 3.Write 4.7 × 10⁻² as a decimal. =
  4. 4.Find the value of x² − 2xy + y² when x = 4 and y = 1.
  5. 5.Write 9.2 × 10⁻⁴ as a decimal. =
  6. 6.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  7. 7.Which of these is a perfect cube? (a) 82 (b) 80 (c) 64
  8. 8.What is the value of 4²? =
  9. 9.A room is 4 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  10. 10.A trapezium has an area of 175 square cm. Its parallel sides are 11 cm and 14 cm. What is the distance between them (in cm)?
  11. 11.How many whole numbers lie between 13² and 14²?
  12. 12.Use (a + b)(a − b) = a² − b² to find 36 × 24.
  13. 13.A cuboid is 15 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  14. 14.What is the value of 2⁻⁵ (as a fraction)? =
  15. 15.Use (a + b)(a − b) = a² − b² to find 51 × 49.
  16. 16.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  17. 17.If a + b = 4 and ab = 3, what is a² + b²?
  18. 18.What is the difference between the compound interest and the simple interest on ₹48000 at 10% per year for 2 years (in ₹)?
  19. 19.What is the value of 3⁻³ (as a fraction)? =
  20. 20.Use (a + b)² = a² + 2ab + b² to find 87².
  21. 21.Solve: n/2 + n/3 = 5. What is n?
  22. 22.Solve: m/4 + m/6 = 20. What is m?
  23. 23.Which of these is a perfect square? (a) 1522 (b) 1521 (c) 1598
  24. 24.Find the compound interest on ₹41400 at 25% per year for 1 year, compounded every year (in ₹).
  25. 25.Write 9¹⁰ ÷ 9⁶ as a single power 9ⁿ. What is n?
  26. 26.What is the value of (3/5)⁻¹? =
  27. 27.The length of a rectangle is 2 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  28. 28.A cuboid is 5 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
  29. 29.What is √9801? =
  30. 30.The length of a rectangle is 7 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  31. 31.What is the difference between the compound interest and the simple interest on ₹35000 at 12% per year for 2 years (in ₹)?
  32. 32.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  33. 33.What is the smallest whole number by which 72 must be divided to get a perfect square?
  34. 34.What is the smallest whole number by which 12 must be divided to get a perfect square?
  35. 35.Write 4¹⁰ ÷ 4⁸ as a single power 4ⁿ. What is n?
  36. 36.Write 5.4 × 10⁻³ as a decimal. =
  37. 37.Write 3.1 × 10⁻³ as a decimal. =
  38. 38.What is 4³? =
  39. 39.If a − b = 5 and ab = 6, what is a² + b²?
  40. 40.What amount will ₹52500 grow to in 2 years at 8% per year compound interest (in ₹)?

Answer key

  1. 2356
  2. 125
  3. 0.047
  4. 9
  5. 0.00092
  6. 2904
  7. 64
  8. 16
  9. 70
  10. 14
  11. 26
  12. 864
  13. 196
  14. 1/32
  15. 2499
  16. 7
  17. 10
  18. 480
  19. 1/27
  20. 7569
  21. 6
  22. 48
  23. 1521
  24. 10350
  25. 4
  26. 5/3
  27. 27
  28. 184
  29. 99
  30. 4
  31. 504
  32. 1536
  33. 2
  34. 3
  35. 2
  36. 0.0054
  37. 0.0031
  38. 64
  39. 37
  40. 61236

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