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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 838 · 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 √2916? =
  2. 2.What is 95²? =
  3. 3.What is √529? =
  4. 4.A trapezium has an area of 301 square cm. Its parallel sides are 20 cm and 23 cm. What is the distance between them (in cm)?
  5. 5.Use (a − b)² = a² − 2ab + b² to find 68².
  6. 6.What is ∛729? =
  7. 7.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  8. 8.What is ∛125? =
  9. 9.Write 6,40,00,000 in standard form as 6.4 × 10ⁿ. What is n?
  10. 10.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
  11. 11.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  12. 12.Use (a + b)² = a² + 2ab + b² to find 41².
  13. 13.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  14. 14.Solve: 5(y − 4) = 3y + 14. What is y?
  15. 15.Find the value of x² + 2xy + y² when x = 5 and y = 2.
  16. 16.A scooter is worth ₹32000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
  17. 17.Solve: 4(y − 5) = y + 31. What is y?
  18. 18.A room is 12 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  19. 19.What is ∛12167? =
  20. 20.Use (a + b)² = a² + 2ab + b² to find 97².
  21. 21.What is the value of 2⁻⁶ (as a fraction)? =
  22. 22.Solve: n/2 + n/6 = 12. What is n?
  23. 23.What amount will ₹9000 grow to in 3 years at 10% per year compound interest (in ₹)?
  24. 24.What amount will ₹30400 grow to in 2 years at 15% per year compound interest (in ₹)?
  25. 25.What is √1600? =
  26. 26.Write 1.8 × 10⁻⁴ as a decimal. =
  27. 27.Solve: n/5 + n/4 = 27. What is n?
  28. 28.Use (a + b)(a − b) = a² − b² to find 22 × 18.
  29. 29.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  30. 30.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
  31. 31.What is 15²? =
  32. 32.What is the value of 4⁶? =
  33. 33.A scooter is worth ₹50100. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
  34. 34.Use (a − b)² = a² − 2ab + b² to find 52².
  35. 35.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  36. 36.A square garden has an area of 529 square m. How long is each side (in m)?
  37. 37.7.8 × 10² =
  38. 38.7 × 10² =
  39. 39.A trapezium has parallel sides of 27 cm and 25 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  40. 40.A square garden has an area of 81 square m. How long is each side (in m)?

Answer key

  1. 54
  2. 9025
  3. 23
  4. 14
  5. 4624
  6. 9
  7. 8
  8. 5
  9. 7
  10. 484
  11. 54
  12. 1681
  13. 125
  14. 17
  15. 49
  16. 27436
  17. 17
  18. 120
  19. 23
  20. 9409
  21. 1/64
  22. 18
  23. 11979
  24. 40204
  25. 40
  26. 0.00018
  27. 60
  28. 396
  29. 19
  30. 529
  31. 225
  32. 4096
  33. 44088
  34. 2704
  35. 3
  36. 23
  37. 780
  38. 700
  39. 364
  40. 9

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