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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 759 · 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 96²? =
  2. 2.8.5 × 10² =
  3. 3.A room is 11 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  4. 4.Solve: n/3 + n/5 = 48. What is n?
  5. 5.A town has 40000 people. The population grows by 15% every year. What will the population be after 3 years?
  6. 6.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  7. 7.A trapezium has parallel sides of 8 cm and 21 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  8. 8.What is the difference between the compound interest and the simple interest on ₹10000 at 8% per year for 2 years (in ₹)?
  9. 9.5.7 × 10³ =
  10. 10.A trapezium has parallel sides of 12 cm and 16 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  11. 11.Use a² − b² = (a + b)(a − b) to find 28² − 13².
  12. 12.Use (a − b)² = a² − 2ab + b² to find 76².
  13. 13.Solve: 3(x − 5) = 2x + 3. What is x?
  14. 14.Use (a − b)² = a² − 2ab + b² to find 72².
  15. 15.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  16. 16.Solve: 9n + 14 = 7n + 22. What is n?
  17. 17.Solve: 5x + 15 = 4x + 19. What is x?
  18. 18.Find the compound interest on ₹60000 at 4% per year for 2 years, compounded every year (in ₹).
  19. 19.Use a² − b² = (a + b)(a − b) to find 47² − 5².
  20. 20.If a + b = 13 and ab = 30, what is a² + b²?
  21. 21.What is the value of 9⁻³ (as a fraction)? =
  22. 22.Use (a + b)(a − b) = a² − b² to find 61 × 59.
  23. 23.What amount will ₹56000 grow to in 1 year at 20% per year compound interest (in ₹)?
  24. 24.A square garden has an area of 64 square m. How long is each side (in m)?
  25. 25.Write 7.5 × 10⁻³ as a decimal. =
  26. 26.Use (a + b)² = a² + 2ab + b² to find 46².
  27. 27.What is the value of (4/9)⁻¹? =
  28. 28.What is the value of (1/3)⁻²? =
  29. 29.Write 9⁴ × 9⁵ as a single power 9ⁿ. What is n?
  30. 30.Which of these is a perfect cube? (a) 466 (b) 416 (c) 343
  31. 31.Solve: n/3 + n/2 = 40. What is n?
  32. 32.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  33. 33.A father is 26 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  34. 34.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  35. 35.5.2 × 10⁷ =
  36. 36.Find the compound interest on ₹45000 at 4% per year for 1 year, compounded every year (in ₹).
  37. 37.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  38. 38.What is √5329? =
  39. 39.Solve: 5m + 13 = 4m + 25. What is m?
  40. 40.A square garden has an area of 100 square m. How long is each side (in m)?

Answer key

  1. 9216
  2. 850
  3. 128
  4. 90
  5. 60835
  6. 3
  7. 58
  8. 64
  9. 5700
  10. 70
  11. 615
  12. 5776
  13. 18
  14. 5184
  15. 11
  16. 4
  17. 4
  18. 4896
  19. 2184
  20. 109
  21. 1/729
  22. 3599
  23. 67200
  24. 8
  25. 0.0075
  26. 2116
  27. 9/4
  28. 9
  29. 9
  30. 343
  31. 48
  32. 54
  33. 5
  34. 2
  35. 52000000
  36. 1800
  37. 7
  38. 73
  39. 12
  40. 10

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