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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 834 · 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.A trapezium has parallel sides of 16 cm and 30 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  2. 2.Use (a + b)(a − b) = a² − b² to find 88 × 72.
  3. 3.Which of these is a perfect square? (a) 427 (b) 425 (c) 400
  4. 4.A square garden has an area of 1156 square m. How long is each side (in m)?
  5. 5.Find the compound interest on ₹57500 at 8% per year for 2 years, compounded every year (in ₹).
  6. 6.The sum of four consecutive whole numbers is 50. What is the largest of them?
  7. 7.A trapezium has parallel sides of 29 cm and 16 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  8. 8.Write (2⁶)⁹ as a single power 2ⁿ. What is n?
  9. 9.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  10. 10.Find the value of x² − y² when x = 14 and y = 2.
  11. 11.Use (a − b)² = a² − 2ab + b² to find 29².
  12. 12.What is ∛8000? =
  13. 13.The length of a rectangle is 7 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  14. 14.A father is 24 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  15. 15.Write 2¹¹ ÷ 2² as a single power 2ⁿ. What is n?
  16. 16.Solve: 6(y − 5) = 4y + 8. What is y?
  17. 17.Write 6⁸ × 6⁵ as a single power 6ⁿ. What is n?
  18. 18.The length of a rectangle is 14 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  19. 19.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  20. 20.Use (a + b)² = a² + 2ab + b² to find 13².
  21. 21.Use (a + b)² = a² + 2ab + b² to find 92².
  22. 22.Which of these is a perfect cube? (a) 50 (b) 27 (c) 54
  23. 23.Write 6.8 × 10⁻¹ as a decimal. =
  24. 24.Write 3⁷ ÷ 3² as a single power 3ⁿ. What is n?
  25. 25.What amount will ₹30400 grow to in 2 years at 25% per year compound interest (in ₹)?
  26. 26.A room is 6 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  27. 27.Write 6⁷ ÷ 6⁵ as a single power 6ⁿ. What is n?
  28. 28.Solve: n/2 + n/4 = 6. What is n?
  29. 29.Solve: 6(t − 5) = 2t + 14. What is t?
  30. 30.A cuboid is 3 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  31. 31.What is 67²? =
  32. 32.Use a² − b² = (a + b)(a − b) to find 99² − 28².
  33. 33.What is the value of 2⁵ × 2⁻¹? =
  34. 34.Use (a + b)² = a² + 2ab + b² to find 66².
  35. 35.Use a² − b² = (a + b)(a − b) to find 52² − 46².
  36. 36.If a + b = 3 and ab = 2, what is a² + b²?
  37. 37.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  38. 38.What is 18³? =
  39. 39.What is the value of 3⁴ × 3⁻²? =
  40. 40.The length of a rectangle is 1 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?

Answer key

  1. 46
  2. 6336
  3. 400
  4. 34
  5. 9568
  6. 14
  7. 90
  8. 54
  9. 49
  10. 192
  11. 841
  12. 20
  13. 6
  14. 2
  15. 9
  16. 19
  17. 13
  18. 19
  19. 20
  20. 169
  21. 8464
  22. 27
  23. 0.68
  24. 5
  25. 47500
  26. 72
  27. 2
  28. 8
  29. 11
  30. 52
  31. 4489
  32. 9017
  33. 16
  34. 4356
  35. 588
  36. 5
  37. 2646
  38. 5832
  39. 9
  40. 11

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