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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 548 · 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 11³? =
  2. 2.Write 4⁶ × 4⁷ as a single power 4ⁿ. What is n?
  3. 3.Write 9.7 × 10⁻¹ as a decimal. =
  4. 4.Write (5⁸)⁹ as a single power 5ⁿ. What is n?
  5. 5.What is the difference between the compound interest and the simple interest on ₹14800 at 15% per year for 2 years (in ₹)?
  6. 6.Find the value of x² − 2xy + y² when x = 10 and y = 9.
  7. 7.A scooter is worth ₹30000. Its value falls by 8% every year. What will it be worth after 1 year (in ₹)?
  8. 8.5 × 10⁵ =
  9. 9.A room is 3 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  10. 10.What is the value of 6⁻¹ (as a fraction)? =
  11. 11.Find the compound interest on ₹10500 at 20% per year for 3 years, compounded every year (in ₹).
  12. 12.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  13. 13.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  14. 14.What amount will ₹14600 grow to in 1 year at 8% per year compound interest (in ₹)?
  15. 15.Use a² − b² = (a + b)(a − b) to find 87² − 40².
  16. 16.Which of these is a perfect square? (a) 386 (b) 361 (c) 369
  17. 17.Solve: 5(y − 5) = 4y + 5. What is y?
  18. 18.What is the value of 2¹¹? =
  19. 19.The length of a rectangle is 12 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
  20. 20.A square garden has an area of 3481 square m. How long is each side (in m)?
  21. 21.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  22. 22.What is the value of 5⁻³ (as a fraction)? =
  23. 23.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  24. 24.What is the smallest whole number by which 325 must be divided to get a perfect square?
  25. 25.What is the value of 2⁴ × 2⁻²? =
  26. 26.A room is 10 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  27. 27.What amount will ₹53600 grow to in 1 year at 25% per year compound interest (in ₹)?
  28. 28.Which of these is a perfect cube? (a) 43 (b) 27 (c) 40
  29. 29.A father is 24 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  30. 30.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  31. 31.A trapezium has an area of 133 square cm. Its parallel sides are 6 cm and 13 cm. What is the distance between them (in cm)?
  32. 32.What is the value of 3²? =
  33. 33.A cuboid is 15 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  34. 34.Solve: 5m + 4 = 4m + 17. What is m?
  35. 35.Solve: 4(x − 5) = x + 10. What is x?
  36. 36.What is 81²? =
  37. 37.Write 4⁹ ÷ 4³ as a single power 4ⁿ. What is n?
  38. 38.What is 13³? =
  39. 39.A square garden has an area of 961 square m. How long is each side (in m)?
  40. 40.Use a² − b² = (a + b)(a − b) to find 82² − 56².

Answer key

  1. 1331
  2. 13
  3. 0.97
  4. 72
  5. 333
  6. 1
  7. 27600
  8. 500000
  9. 80
  10. 1/6
  11. 7644
  12. 5
  13. 25
  14. 15768
  15. 5969
  16. 361
  17. 30
  18. 2048
  19. 27
  20. 59
  21. 49
  22. 1/125
  23. 150
  24. 13
  25. 4
  26. 160
  27. 67000
  28. 27
  29. 8
  30. 1014
  31. 14
  32. 9
  33. 310
  34. 13
  35. 10
  36. 6561
  37. 6
  38. 2197
  39. 31
  40. 3588

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