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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 822 · 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.Solve: 5(n − 3) = n + 9. What is n?
  2. 2.A cuboid is 10 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
  3. 3.Find the compound interest on ₹48000 at 10% per year for 3 years, compounded every year (in ₹).
  4. 4.What amount will ₹41400 grow to in 1 year at 25% per year compound interest (in ₹)?
  5. 5.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  6. 6.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  7. 7.What is the smallest whole number by which 27 must be divided to get a perfect square?
  8. 8.A square garden has an area of 400 square m. How long is each side (in m)?
  9. 9.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
  10. 10.Use a² − b² = (a + b)(a − b) to find 36² − 5².
  11. 11.What is √1024? =
  12. 12.A trapezium has parallel sides of 10 cm and 12 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  13. 13.Write 8,800 in standard form as 8.8 × 10ⁿ. What is n?
  14. 14.Find the value of x² + 2xy + y² when x = 10 and y = 5.
  15. 15.A father is 39 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?
  16. 16.Solve: 4(n − 2) = 3n + 7. What is n?
  17. 17.Find the value of x² + 2xy + y² when x = 9 and y = 1.
  18. 18.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
  19. 19.A cuboid is 13 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
  20. 20.Solve: p/2 + p/4 = 9. What is p?
  21. 21.A room is 10 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  22. 22.Use (a − b)² = a² − 2ab + b² to find 33².
  23. 23.What is the value of 3⁻³ (as a fraction)? =
  24. 24.If a + b = 4 and ab = 3, what is a² + b²?
  25. 25.A scooter is worth ₹16000. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
  26. 26.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  27. 27.What is the value of 2⁻⁴ (as a fraction)? =
  28. 28.Write 5.6 × 10⁻¹ as a decimal. =
  29. 29.Write 8.9 × 10⁻¹ as a decimal. =
  30. 30.Find the value of x² + 2xy + y² when x = 12 and y = 1.
  31. 31.Use (a + b)(a − b) = a² − b² to find 75 × 65.
  32. 32.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  33. 33.What is ∛2197? =
  34. 34.Solve: 3(t − 4) = 2t + 2. What is t?
  35. 35.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  36. 36.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.Solve: 5m + 16 = 3m + 42. What is m?
  38. 38.What is the difference between the compound interest and the simple interest on ₹15000 at 12% per year for 2 years (in ₹)?
  39. 39.What is the value of 5¹ × 5⁻³? =
  40. 40.A room is 8 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?

Answer key

  1. 6
  2. 376
  3. 15888
  4. 51750
  5. 8
  6. 2
  7. 3
  8. 20
  9. 100
  10. 1271
  11. 32
  12. 66
  13. 3
  14. 225
  15. 7
  16. 15
  17. 100
  18. 36
  19. 270
  20. 12
  21. 180
  22. 1089
  23. 1/27
  24. 10
  25. 6750
  26. 10
  27. 1/16
  28. 0.56
  29. 0.89
  30. 169
  31. 4875
  32. 27
  33. 13
  34. 14
  35. 4
  36. 125
  37. 13
  38. 216
  39. 1/25
  40. 180

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