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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 964 · 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.A father is 14 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  2. 2.Find the value of x² − y² when x = 4 and y = 3.
  3. 3.What is the value of 3⁴? =
  4. 4.What is √3025? =
  5. 5.What is 9³? =
  6. 6.What amount will ₹49000 grow to in 3 years at 20% per year compound interest (in ₹)?
  7. 7.A room is 7 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  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.What is 19³? =
  10. 10.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  11. 11.Which of these is a perfect cube? (a) 512 (b) 569 (c) 552
  12. 12.What is the value of 7²? =
  13. 13.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  14. 14.What is the value of 2⁻⁶ (as a fraction)? =
  15. 15.What is the value of 5⁷? =
  16. 16.Use (a + b)² = a² + 2ab + b² to find 51².
  17. 17.Solve: 4(n − 1) = 3n + 1. What is n?
  18. 18.Use a² − b² = (a + b)(a − b) to find 46² − 31².
  19. 19.What amount will ₹11000 grow to in 1 year at 5% per year compound interest (in ₹)?
  20. 20.Write (3⁴)² as a single power 3ⁿ. What is n?
  21. 21.A square garden has an area of 289 square m. How long is each side (in m)?
  22. 22.What is the difference between the compound interest and the simple interest on ₹27500 at 12% per year for 2 years (in ₹)?
  23. 23.What is 3³? =
  24. 24.What is ∛343? =
  25. 25.What amount will ₹8400 grow to in 1 year at 12% per year compound interest (in ₹)?
  26. 26.A room is 11 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  27. 27.What amount will ₹16000 grow to in 3 years at 5% per year compound interest (in ₹)?
  28. 28.A room is 7 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  29. 29.If a − b = 7 and ab = 30, what is a² + b²?
  30. 30.What is the value of 5³? =
  31. 31.A room is 5 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  32. 32.A trapezium has parallel sides of 22 cm and 15 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  33. 33.Write 9⁸ × 9⁵ as a single power 9ⁿ. What is n?
  34. 34.What amount will ₹40000 grow to in 2 years at 4% per year compound interest (in ₹)?
  35. 35.What is the value of 2⁹? =
  36. 36.Find the value of x² + 2xy + y² when x = 9 and y = 8.
  37. 37.If a − b = 2 and ab = 80, what is a² + b²?
  38. 38.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  39. 39.Solve: 6(n − 3) = n + 57. What is n?
  40. 40.What amount will ₹37100 grow to in 1 year at 25% per year compound interest (in ₹)?

Answer key

  1. 10
  2. 7
  3. 81
  4. 55
  5. 729
  6. 84672
  7. 84
  8. 64
  9. 6859
  10. 3456
  11. 512
  12. 49
  13. 13
  14. 1/64
  15. 78125
  16. 2601
  17. 5
  18. 1155
  19. 11550
  20. 8
  21. 17
  22. 396
  23. 27
  24. 7
  25. 9408
  26. 136
  27. 18522
  28. 112
  29. 109
  30. 125
  31. 54
  32. 37
  33. 13
  34. 43264
  35. 512
  36. 289
  37. 164
  38. 8
  39. 15
  40. 46375

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