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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 390 · 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 value of 3⁵ × 3⁻⁴? =
  2. 2.A trapezium has parallel sides of 19 cm and 30 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  3. 3.What is the value of 6²? =
  4. 4.What is the difference between the compound interest and the simple interest on ₹50000 at 8% per year for 2 years (in ₹)?
  5. 5.A room is 9 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  6. 6.What is 18³? =
  7. 7.2.6 × 10³ =
  8. 8.What is √121? =
  9. 9.A father is 13 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  10. 10.What is 3³? =
  11. 11.Solve: 5x + 16 = 4x + 25. What is x?
  12. 12.Find the compound interest on ₹6000 at 10% per year for 3 years, compounded every year (in ₹).
  13. 13.A trapezium has parallel sides of 27 cm and 26 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  14. 14.Use (a + b)(a − b) = a² − b² to find 34 × 26.
  15. 15.Use (a + b)² = a² + 2ab + b² to find 54².
  16. 16.What is the value of 6⁴? =
  17. 17.What is ∛1000? =
  18. 18.What is the value of 3¹ × 3⁻¹? =
  19. 19.What is the value of 7⁻³ (as a fraction)? =
  20. 20.Use (a + b)(a − b) = a² − b² to find 72 × 68.
  21. 21.Solve: y/5 + y/6 = 55. What is y?
  22. 22.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  23. 23.A cuboid is 15 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
  24. 24.A father is 30 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  25. 25.Use (a + b)² = a² + 2ab + b² to find 41².
  26. 26.Which of these is a perfect cube? (a) 1066 (b) 1000 (c) 1081
  27. 27.If a − b = 7 and ab = 18, what is a² + b²?
  28. 28.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  29. 29.What amount will ₹46300 grow to in 1 year at 10% per year compound interest (in ₹)?
  30. 30.Write 1.7 × 10⁻² as a decimal. =
  31. 31.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  32. 32.Which of these is a perfect cube? (a) 400 (b) 429 (c) 343
  33. 33.The length of a rectangle is 3 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  34. 34.A square garden has an area of 64 square m. How long is each side (in m)?
  35. 35.A trapezium has an area of 39 square cm. Its parallel sides are 29 cm and 10 cm. What is the distance between them (in cm)?
  36. 36.A scooter is worth ₹17100. Its value falls by 8% every year. What will it be worth after 1 year (in ₹)?
  37. 37.A cuboid is 6 cm long, 9 cm wide and 10 cm high. What is its total surface area (in square cm)?
  38. 38.If a + b = 11 and ab = 18, what is a² + b²?
  39. 39.The sum of two consecutive whole numbers is 57. What is the smallest of them?
  40. 40.What is the value of 4³? =

Answer key

  1. 3
  2. 147
  3. 36
  4. 320
  5. 120
  6. 5832
  7. 2600
  8. 11
  9. 11
  10. 27
  11. 9
  12. 1986
  13. 371
  14. 884
  15. 2916
  16. 1296
  17. 10
  18. 1
  19. 1/343
  20. 4896
  21. 150
  22. 16
  23. 470
  24. 8
  25. 1681
  26. 1000
  27. 85
  28. 12
  29. 50930
  30. 0.017
  31. 4
  32. 343
  33. 23
  34. 8
  35. 2
  36. 15732
  37. 408
  38. 85
  39. 28
  40. 64

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