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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 830 · 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.If a + b = 5 and ab = 6, what is a² + b²?
  2. 2.A trapezium has an area of 176 square cm. Its parallel sides are 26 cm and 6 cm. What is the distance between them (in cm)?
  3. 3.9.1 × 10² =
  4. 4.What is the value of 3³ × 3⁻⁶? =
  5. 5.What is the value of 5⁴? =
  6. 6.What is √8649? =
  7. 7.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  8. 8.Use (a − b)² = a² − 2ab + b² to find 83².
  9. 9.What is the difference between the compound interest and the simple interest on ₹9300 at 20% per year for 2 years (in ₹)?
  10. 10.How many whole numbers lie between 6² and 7²?
  11. 11.What is the value of 3⁻³ (as a fraction)? =
  12. 12.Use (a + b)² = a² + 2ab + b² to find 83².
  13. 13.What is the difference between the compound interest and the simple interest on ₹39600 at 15% per year for 2 years (in ₹)?
  14. 14.How many whole numbers lie between 50² and 51²?
  15. 15.What is the value of 8⁻¹ (as a fraction)? =
  16. 16.Find the compound interest on ₹55000 at 12% per year for 2 years, compounded every year (in ₹).
  17. 17.What amount will ₹7700 grow to in 1 year at 15% per year compound interest (in ₹)?
  18. 18.Which of these is a perfect square? (a) 583 (b) 602 (c) 576
  19. 19.Which of these is a perfect cube? (a) 288 (b) 216 (c) 233
  20. 20.A room is 5 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  21. 21.What is √900? =
  22. 22.What is ∛216? =
  23. 23.What is the value of 3⁸? =
  24. 24.The length of a rectangle is 4 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  25. 25.Solve: 9t + 4 = 4t + 19. What is t?
  26. 26.A square garden has an area of 484 square m. How long is each side (in m)?
  27. 27.What is √196? =
  28. 28.A town has 21400 people. The population grows by 20% every year. What will the population be after 2 years?
  29. 29.Use a² − b² = (a + b)(a − b) to find 40² − 15².
  30. 30.The diagonals of a rhombus are 24 cm and 21 cm. What is its area (in square cm)?
  31. 31.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
  32. 32.Find the compound interest on ₹48500 at 10% per year for 1 year, compounded every year (in ₹).
  33. 33.What is 25²? =
  34. 34.Solve: m/5 + m/6 = 55. What is m?
  35. 35.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  36. 36.Use (a + b)² = a² + 2ab + b² to find 46².
  37. 37.What is the value of 10⁴ × 10⁻²? =
  38. 38.Solve: 5p + 4 = 3p + 10. What is p?
  39. 39.What is 86²? =
  40. 40.What is the value of (1/4)⁻¹? =

Answer key

  1. 13
  2. 11
  3. 910
  4. 1/27
  5. 625
  6. 93
  7. 17
  8. 6889
  9. 372
  10. 12
  11. 1/27
  12. 6889
  13. 891
  14. 100
  15. 1/8
  16. 13992
  17. 8855
  18. 576
  19. 216
  20. 80
  21. 30
  22. 6
  23. 6561
  24. 10
  25. 3
  26. 22
  27. 14
  28. 30816
  29. 1375
  30. 252
  31. 25
  32. 4850
  33. 625
  34. 150
  35. 216
  36. 2116
  37. 100
  38. 3
  39. 7396
  40. 4

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