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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 446 · 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.Write (2⁸)⁵ as a single power 2ⁿ. What is n?
  2. 2.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  3. 3.Use (a − b)² = a² − 2ab + b² to find 92².
  4. 4.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  5. 5.Which of these is a perfect square? (a) 233 (b) 246 (c) 225
  6. 6.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  7. 7.Find the compound interest on ₹19500 at 4% per year for 1 year, compounded every year (in ₹).
  8. 8.Use (a + b)(a − b) = a² − b² to find 91 × 89.
  9. 9.Solve: 7y + 19 = y + 109. What is y?
  10. 10.What is the smallest whole number by which 45 must be divided to get a perfect square?
  11. 11.A room is 4 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  12. 12.Write 7³ × 7² as a single power 7ⁿ. What is n?
  13. 13.Solve: y/2 + y/6 = 24. What is y?
  14. 14.Solve: 4p + 3 = 2p + 15. What is p?
  15. 15.Find the value of x² − y² when x = 4 and y = 3.
  16. 16.The sum of four consecutive whole numbers is 86. What is the largest of them?
  17. 17.A trapezium has parallel sides of 29 cm and 23 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  18. 18.What amount will ₹47500 grow to in 3 years at 20% per year compound interest (in ₹)?
  19. 19.Use (a − b)² = a² − 2ab + b² to find 66².
  20. 20.Which of these is a perfect square? (a) 183 (b) 169 (c) 177
  21. 21.Find the compound interest on ₹17500 at 8% per year for 2 years, compounded every year (in ₹).
  22. 22.What is 98²? =
  23. 23.What is the value of 2⁻⁹ (as a fraction)? =
  24. 24.Solve: 5m + 7 = m + 15. What is m?
  25. 25.A square garden has an area of 676 square m. How long is each side (in m)?
  26. 26.Find the value of x² − y² when x = 10 and y = 8.
  27. 27.Write 2.3 × 10⁻⁴ as a decimal. =
  28. 28.Which of these is a perfect square? (a) 743 (b) 775 (c) 729
  29. 29.The length of a rectangle is 3 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  30. 30.Which of these is a perfect square? (a) 389 (b) 376 (c) 361
  31. 31.Write 6,60,00,000 in standard form as 6.6 × 10ⁿ. What is n?
  32. 32.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  33. 33.Which of these is a perfect cube? (a) 611 (b) 512 (c) 667
  34. 34.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  35. 35.What is 73²? =
  36. 36.What amount will ₹22500 grow to in 2 years at 12% per year compound interest (in ₹)?
  37. 37.A square garden has an area of 1936 square m. How long is each side (in m)?
  38. 38.Find the compound interest on ₹46600 at 20% per year for 1 year, compounded every year (in ₹).
  39. 39.Solve: 6(m − 2) = 4m + 2. What is m?
  40. 40.A square garden has an area of 1849 square m. How long is each side (in m)?

Answer key

  1. 40
  2. 1734
  3. 8464
  4. 7
  5. 225
  6. 19
  7. 780
  8. 8099
  9. 15
  10. 5
  11. 42
  12. 5
  13. 36
  14. 6
  15. 7
  16. 23
  17. 364
  18. 82080
  19. 4356
  20. 169
  21. 2912
  22. 9604
  23. 1/512
  24. 2
  25. 26
  26. 36
  27. 0.00023
  28. 729
  29. 11
  30. 361
  31. 7
  32. 3
  33. 512
  34. 15
  35. 5329
  36. 28224
  37. 44
  38. 9320
  39. 7
  40. 43

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