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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 305 · 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 74²? =
  2. 2.Write 1.5 × 10⁻⁴ as a decimal. =
  3. 3.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  4. 4.Which of these is a perfect square? (a) 460 (b) 441 (c) 480
  5. 5.What is the value of 2⁹? =
  6. 6.Solve: 7t + 4 = 3t + 32. What is t?
  7. 7.A father is 36 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  8. 8.Use a² − b² = (a + b)(a − b) to find 53² − 11².
  9. 9.What is the value of 5³ × 5⁻¹? =
  10. 10.Solve: p/2 + p/4 = 3. What is p?
  11. 11.Solve: n/4 + n/6 = 5. What is n?
  12. 12.A room is 9 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  13. 13.Use (a + b)(a − b) = a² − b² to find 79 × 61.
  14. 14.What is 61²? =
  15. 15.The length of a rectangle is 2 cm more than its width. Its perimeter is 12 cm. What is its width (in cm)?
  16. 16.Solve: 4(n − 5) = 3n + 3. What is n?
  17. 17.What is the value of (2/9)⁻¹? =
  18. 18.Use (a − b)² = a² − 2ab + b² to find 66².
  19. 19.Which of these is a perfect square? (a) 1084 (b) 1057 (c) 1024
  20. 20.What is the smallest whole number by which 250 must be multiplied to get a perfect square?
  21. 21.Find the value of x² − 2xy + y² when x = 15 and y = 11.
  22. 22.Solve: 7y + 16 = 5y + 42. What is y?
  23. 23.A cuboid is 13 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
  24. 24.A trapezium has an area of 168 square cm. Its parallel sides are 8 cm and 20 cm. What is the distance between them (in cm)?
  25. 25.What is the difference between the compound interest and the simple interest on ₹2500 at 4% per year for 2 years (in ₹)?
  26. 26.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  27. 27.A cuboid is 3 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
  28. 28.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  29. 29.A town has 28900 people. The population grows by 4% every year. What will the population be after 1 year?
  30. 30.Which of these is a perfect square? (a) 819 (b) 828 (c) 784
  31. 31.What is √3136? =
  32. 32.A cuboid is 15 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
  33. 33.The sum of two consecutive whole numbers is 31. What is the largest of them?
  34. 34.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  35. 35.Solve: 9y + 20 = 7y + 28. What is y?
  36. 36.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  37. 37.What is 25²? =
  38. 38.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  39. 39.What is √8649? =
  40. 40.A trapezium has parallel sides of 23 cm and 18 cm, and the distance between them is 6 cm. What is its area (in square cm)?

Answer key

  1. 5476
  2. 0.00015
  3. 4
  4. 441
  5. 512
  6. 7
  7. 11
  8. 2688
  9. 25
  10. 4
  11. 12
  12. 78
  13. 4819
  14. 3721
  15. 2
  16. 23
  17. 9/2
  18. 4356
  19. 1024
  20. 10
  21. 16
  22. 13
  23. 174
  24. 12
  25. 4
  26. 9
  27. 202
  28. 1176
  29. 30056
  30. 784
  31. 56
  32. 306
  33. 16
  34. 2
  35. 4
  36. 12
  37. 625
  38. 5
  39. 93
  40. 123

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