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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 436 · 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 the difference between the compound interest and the simple interest on ₹49100 at 10% per year for 2 years (in ₹)?
  2. 2.Solve: 8y + 12 = 2y + 42. What is y?
  3. 3.How many whole numbers lie between 5² and 6²?
  4. 4.Use a² − b² = (a + b)(a − b) to find 42² − 36².
  5. 5.A cuboid is 11 cm long, 7 cm wide and 6 cm high. What is its total surface area (in square cm)?
  6. 6.What is 62²? =
  7. 7.Write 2⁶ × 2³ as a single power 2ⁿ. What is n?
  8. 8.What is 30²? =
  9. 9.A trapezium has parallel sides of 10 cm and 12 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  10. 10.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  11. 11.A town has 52000 people. The population grows by 10% every year. What will the population be after 3 years?
  12. 12.Write 9.7 × 10⁻² as a decimal. =
  13. 13.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  14. 14.Use (a + b)² = a² + 2ab + b² to find 109².
  15. 15.How many whole numbers lie between 30² and 31²?
  16. 16.The diagonals of a rhombus are 18 cm and 23 cm. What is its area (in square cm)?
  17. 17.What is the difference between the compound interest and the simple interest on ₹22500 at 4% per year for 2 years (in ₹)?
  18. 18.Which of these is a perfect cube? (a) 512 (b) 698 (c) 633
  19. 19.Find the value of x² − y² when x = 6 and y = 2.
  20. 20.Find the value of x² + 2xy + y² when x = 14 and y = 8.
  21. 21.A trapezium has parallel sides of 19 cm and 6 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  22. 22.Find the value of x² − y² when x = 8 and y = 1.
  23. 23.What is ∛5832? =
  24. 24.What is the difference between the compound interest and the simple interest on ₹57500 at 4% per year for 2 years (in ₹)?
  25. 25.Which of these is a perfect cube? (a) 3463 (b) 3375 (c) 3423
  26. 26.7.7 × 10⁴ =
  27. 27.Find the value of x² − 2xy + y² when x = 10 and y = 1.
  28. 28.Which of these is a perfect square? (a) 131 (b) 128 (c) 121
  29. 29.If a + b = 13 and ab = 42, what is a² + b²?
  30. 30.The sum of two consecutive whole numbers is 121. What is the smallest of them?
  31. 31.What is 65²? =
  32. 32.Use a² − b² = (a + b)(a − b) to find 95² − 80².
  33. 33.What is the value of (7/8)⁻²? =
  34. 34.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  35. 35.What amount will ₹24000 grow to in 3 years at 5% per year compound interest (in ₹)?
  36. 36.What is 18³? =
  37. 37.A scooter is worth ₹47600. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
  38. 38.Find the compound interest on ₹42100 at 8% per year for 1 year, compounded every year (in ₹).
  39. 39.Use (a + b)² = a² + 2ab + b² to find 103².
  40. 40.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?

Answer key

  1. 491
  2. 5
  3. 10
  4. 468
  5. 370
  6. 3844
  7. 9
  8. 900
  9. 33
  10. 14
  11. 69212
  12. 0.097
  13. 9
  14. 11881
  15. 60
  16. 207
  17. 36
  18. 512
  19. 32
  20. 484
  21. 100
  22. 63
  23. 18
  24. 92
  25. 3375
  26. 77000
  27. 81
  28. 121
  29. 85
  30. 60
  31. 4225
  32. 2625
  33. 64/49
  34. 49
  35. 27783
  36. 5832
  37. 35700
  38. 3368
  39. 10609
  40. 3

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