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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 954 · 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 cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  2. 2.What amount will ₹44800 grow to in 1 year at 15% per year compound interest (in ₹)?
  3. 3.Solve: 6m + 3 = 4m + 27. What is m?
  4. 4.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  5. 5.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  6. 6.Find the value of x² + 2xy + y² when x = 3 and y = 2.
  7. 7.A room is 5 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  8. 8.Write 3¹¹ ÷ 3³ as a single power 3ⁿ. What is n?
  9. 9.What is 16³? =
  10. 10.Which of these is a perfect cube? (a) 1450 (b) 1393 (c) 1331
  11. 11.A square garden has an area of 2304 square m. How long is each side (in m)?
  12. 12.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
  13. 13.What is ∛8000? =
  14. 14.The diagonals of a rhombus are 12 cm and 14 cm. What is its area (in square cm)?
  15. 15.Use (a + b)² = a² + 2ab + b² to find 28².
  16. 16.What is the value of 2⁵ × 2⁻²? =
  17. 17.What is the value of 5¹ × 5⁻¹? =
  18. 18.Use (a + b)² = a² + 2ab + b² to find 77².
  19. 19.What is √1444? =
  20. 20.What is the value of 6⁻³ (as a fraction)? =
  21. 21.What is √2704? =
  22. 22.Which of these is a perfect cube? (a) 298 (b) 216 (c) 283
  23. 23.A father is 36 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  24. 24.What is the smallest whole number by which 252 must be divided to get a perfect square?
  25. 25.A trapezium has an area of 172 square cm. Its parallel sides are 15 cm and 28 cm. What is the distance between them (in cm)?
  26. 26.Use (a − b)² = a² − 2ab + b² to find 91².
  27. 27.9.1 × 10² =
  28. 28.What is 5³? =
  29. 29.Use (a + b)² = a² + 2ab + b² to find 69².
  30. 30.Find the compound interest on ₹41900 at 4% per year for 1 year, compounded every year (in ₹).
  31. 31.Find the compound interest on ₹16000 at 5% per year for 3 years, compounded every year (in ₹).
  32. 32.A square garden has an area of 256 square m. How long is each side (in m)?
  33. 33.What is 8³? =
  34. 34.Write 7² × 7² as a single power 7ⁿ. What is n?
  35. 35.Write 6,400 in standard form as 6.4 × 10ⁿ. What is n?
  36. 36.The length of a rectangle is 2 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  37. 37.Find the compound interest on ₹54000 at 5% per year for 2 years, compounded every year (in ₹).
  38. 38.What is the value of 8²? =
  39. 39.Use a² − b² = (a + b)(a − b) to find 37² − 22².
  40. 40.What is the value of 2⁻⁶ (as a fraction)? =

Answer key

  1. 4
  2. 51520
  3. 12
  4. 27
  5. 17
  6. 25
  7. 80
  8. 8
  9. 4096
  10. 1331
  11. 48
  12. 625
  13. 20
  14. 84
  15. 784
  16. 8
  17. 1
  18. 5929
  19. 38
  20. 1/216
  21. 52
  22. 216
  23. 9
  24. 7
  25. 8
  26. 8281
  27. 910
  28. 125
  29. 4761
  30. 1676
  31. 2522
  32. 16
  33. 512
  34. 4
  35. 3
  36. 14
  37. 5535
  38. 64
  39. 885
  40. 1/64

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