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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 235 · 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 difference between the compound interest and the simple interest on ₹34400 at 15% per year for 2 years (in ₹)?
  2. 2.Use a² − b² = (a + b)(a − b) to find 56² − 16².
  3. 3.What is ∛512? =
  4. 4.Solve: y/2 + y/6 = 24. What is y?
  5. 5.Solve: x/5 + x/4 = 27. What is x?
  6. 6.What is the value of 2⁻⁴ (as a fraction)? =
  7. 7.If a − b = 4 and ab = 5, what is a² + b²?
  8. 8.Write 4⁷ × 4³ as a single power 4ⁿ. What is n?
  9. 9.Write 9.7 × 10⁻³ as a decimal. =
  10. 10.A trapezium has an area of 289 square cm. Its parallel sides are 9 cm and 25 cm. What is the distance between them (in cm)?
  11. 11.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  12. 12.Solve: 3(t − 5) = t + 23. What is t?
  13. 13.A square garden has an area of 2704 square m. How long is each side (in m)?
  14. 14.What is √1764? =
  15. 15.Solve: 4y + 3 = 3y + 14. What is y?
  16. 16.What is the difference between the compound interest and the simple interest on ₹18000 at 20% per year for 2 years (in ₹)?
  17. 17.Use (a − b)² = a² − 2ab + b² to find 29².
  18. 18.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  19. 19.Use a² − b² = (a + b)(a − b) to find 28² − 4².
  20. 20.Solve: m/3 + m/6 = 21. What is m?
  21. 21.A father is 39 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  22. 22.7.7 × 10⁷ =
  23. 23.A room is 5 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  24. 24.A scooter is worth ₹42200. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
  25. 25.Use (a − b)² = a² − 2ab + b² to find 22².
  26. 26.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  27. 27.Solve: 3x + 2 = 2x + 17. What is x?
  28. 28.What is the value of 10³? =
  29. 29.Solve: t/3 + t/6 = 9. What is t?
  30. 30.How many whole numbers lie between 43² and 44²?
  31. 31.What amount will ₹5900 grow to in 1 year at 25% per year compound interest (in ₹)?
  32. 32.Find the value of x² + 2xy + y² when x = 9 and y = 2.
  33. 33.What is ∛8? =
  34. 34.Solve: 3y + 19 = 2y + 23. What is y?
  35. 35.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  36. 36.What is the value of 3⁷? =
  37. 37.A trapezium has parallel sides of 27 cm and 8 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  38. 38.A room is 7 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  39. 39.The length of a rectangle is 8 cm more than its width. Its perimeter is 136 cm. What is its width (in cm)?
  40. 40.What is 18²? =

Answer key

  1. 774
  2. 2880
  3. 8
  4. 36
  5. 60
  6. 1/16
  7. 26
  8. 10
  9. 0.0097
  10. 17
  11. 5
  12. 19
  13. 52
  14. 42
  15. 11
  16. 720
  17. 841
  18. 2
  19. 768
  20. 42
  21. 8
  22. 77000000
  23. 80
  24. 33760
  25. 484
  26. 8
  27. 15
  28. 1000
  29. 18
  30. 86
  31. 7375
  32. 121
  33. 2
  34. 4
  35. 4
  36. 2187
  37. 35
  38. 112
  39. 30
  40. 324

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