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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 940 · 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.The length of a rectangle is 6 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  2. 2.A trapezium has parallel sides of 23 cm and 14 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  3. 3.Use a² − b² = (a + b)(a − b) to find 26² − 22².
  4. 4.A father is 27 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  5. 5.What is the value of 2⁹? =
  6. 6.What amount will ₹59700 grow to in 1 year at 10% per year compound interest (in ₹)?
  7. 7.Solve: 3x + 15 = x + 25. What is x?
  8. 8.A cuboid is 11 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  9. 9.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  10. 10.The sum of two consecutive whole numbers is 83. What is the smallest of them?
  11. 11.Solve: 5y + 4 = 3y + 10. What is y?
  12. 12.A cuboid is 4 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  13. 13.Solve: 3(p − 3) = 2p + 8. What is p?
  14. 14.Solve: 7x + 14 = 6x + 24. What is x?
  15. 15.A square garden has an area of 144 square m. How long is each side (in m)?
  16. 16.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  17. 17.Which of these is a perfect square? (a) 121 (b) 127 (c) 135
  18. 18.Find the compound interest on ₹10000 at 8% per year for 2 years, compounded every year (in ₹).
  19. 19.What amount will ₹21100 grow to in 1 year at 12% per year compound interest (in ₹)?
  20. 20.What is √225? =
  21. 21.What is 18³? =
  22. 22.Use (a + b)² = a² + 2ab + b² to find 61².
  23. 23.A town has 3500 people. The population grows by 20% every year. What will the population be after 3 years?
  24. 24.How many whole numbers lie between 19² and 20²?
  25. 25.What is ∛729? =
  26. 26.Use (a − b)² = a² − 2ab + b² to find 57².
  27. 27.What is the value of 2¹⁶? =
  28. 28.A room is 5 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  29. 29.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  30. 30.What is the value of 6⁴? =
  31. 31.Find the value of x² − 2xy + y² when x = 3 and y = 1.
  32. 32.Write 1.3 × 10⁻⁴ as a decimal. =
  33. 33.A trapezium has an area of 228 square cm. Its parallel sides are 20 cm and 4 cm. What is the distance between them (in cm)?
  34. 34.Solve: m/5 + m/2 = 21. What is m?
  35. 35.What is √3844? =
  36. 36.Use (a + b)² = a² + 2ab + b² to find 22².
  37. 37.What is ∛1000? =
  38. 38.A trapezium has an area of 153 square cm. Its parallel sides are 28 cm and 23 cm. What is the distance between them (in cm)?
  39. 39.Use (a − b)² = a² − 2ab + b² to find 29².
  40. 40.Write 2 × 10⁻² as a decimal. =

Answer key

  1. 17
  2. 185
  3. 192
  4. 8
  5. 512
  6. 65670
  7. 5
  8. 178
  9. 25
  10. 41
  11. 3
  12. 164
  13. 17
  14. 10
  15. 12
  16. 384
  17. 121
  18. 1664
  19. 23632
  20. 15
  21. 5832
  22. 3721
  23. 6048
  24. 38
  25. 9
  26. 3249
  27. 65536
  28. 104
  29. 5
  30. 1296
  31. 4
  32. 0.00013
  33. 19
  34. 30
  35. 62
  36. 484
  37. 10
  38. 6
  39. 841
  40. 0.02

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