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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 317 · 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 (a − b)² = a² − 2ab + b² to find 17².
  2. 2.Use (a + b)(a − b) = a² − b² to find 43 × 37.
  3. 3.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  4. 4.The sum of two consecutive whole numbers is 105. What is the smallest of them?
  5. 5.Write 5¹⁰ ÷ 5⁷ as a single power 5ⁿ. What is n?
  6. 6.What is 76²? =
  7. 7.The sum of four consecutive whole numbers is 26. What is the smallest of them?
  8. 8.What is ∛2744? =
  9. 9.Write (7²)⁴ as a single power 7ⁿ. What is n?
  10. 10.Which of these is a perfect cube? (a) 271 (b) 216 (c) 262
  11. 11.Find the compound interest on ₹22400 at 10% per year for 1 year, compounded every year (in ₹).
  12. 12.Find the compound interest on ₹12500 at 4% per year for 2 years, compounded every year (in ₹).
  13. 13.Write 4¹² ÷ 4⁷ as a single power 4ⁿ. What is n?
  14. 14.A square garden has an area of 441 square m. How long is each side (in m)?
  15. 15.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  16. 16.What is the value of (2/3)⁻²? =
  17. 17.A trapezium has an area of 42 square cm. Its parallel sides are 18 cm and 3 cm. What is the distance between them (in cm)?
  18. 18.What is √625? =
  19. 19.Use (a + b)² = a² + 2ab + b² to find 76².
  20. 20.Which of these is a perfect cube? (a) 1331 (b) 1555 (c) 1618
  21. 21.Find the value of x² + 2xy + y² when x = 8 and y = 1.
  22. 22.Use (a + b)(a − b) = a² − b² to find 32 × 28.
  23. 23.What is the difference between the compound interest and the simple interest on ₹34100 at 10% per year for 2 years (in ₹)?
  24. 24.A father is 19 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  25. 25.How many whole numbers lie between 22² and 23²?
  26. 26.What is the value of 6⁻¹ (as a fraction)? =
  27. 27.What is ∛512? =
  28. 28.A cuboid is 11 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
  29. 29.What is √7396? =
  30. 30.What is √1156? =
  31. 31.A cuboid is 3 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
  32. 32.Which of these is a perfect square? (a) 108 (b) 100 (c) 101
  33. 33.What is the smallest whole number by which 8 must be multiplied to get a perfect square?
  34. 34.What is the value of 3²? =
  35. 35.Solve: 3(x − 3) = x + 1. What is x?
  36. 36.Write 5⁵ × 5⁴ as a single power 5ⁿ. What is n?
  37. 37.Find the compound interest on ₹55800 at 20% per year for 1 year, compounded every year (in ₹).
  38. 38.Find the value of x² − y² when x = 7 and y = 2.
  39. 39.Which of these is a perfect cube? (a) 3814 (b) 4028 (c) 3375
  40. 40.Find the value of x² − 2xy + y² when x = 3 and y = 2.

Answer key

  1. 289
  2. 1591
  3. 2400
  4. 52
  5. 3
  6. 5776
  7. 5
  8. 14
  9. 8
  10. 216
  11. 2240
  12. 1020
  13. 5
  14. 21
  15. 5
  16. 9/4
  17. 4
  18. 25
  19. 5776
  20. 1331
  21. 81
  22. 896
  23. 341
  24. 11
  25. 44
  26. 1/6
  27. 8
  28. 262
  29. 86
  30. 34
  31. 216
  32. 100
  33. 2
  34. 9
  35. 5
  36. 9
  37. 11160
  38. 45
  39. 3375
  40. 1

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