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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 407 · 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 √8836? =
  2. 2.What is √256? =
  3. 3.Solve: 7x + 4 = 5x + 10. What is x?
  4. 4.How many whole numbers lie between 32² and 33²?
  5. 5.Write 8¹⁵ ÷ 8⁹ as a single power 8ⁿ. What is n?
  6. 6.Which of these is a perfect square? (a) 1225 (b) 1250 (c) 1256
  7. 7.Find the compound interest on ₹36000 at 15% per year for 2 years, compounded every year (in ₹).
  8. 8.Solve: p/5 + p/6 = 22. What is p?
  9. 9.A trapezium has parallel sides of 10 cm and 9 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  10. 10.What is the value of 7²? =
  11. 11.A cuboid is 10 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?
  12. 12.What is the value of 5¹ × 5⁻⁶? =
  13. 13.A cuboid is 14 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  14. 14.A square garden has an area of 121 square m. How long is each side (in m)?
  15. 15.The sum of three consecutive whole numbers is 156. What is the smallest of them?
  16. 16.Which of these is a perfect cube? (a) 3375 (b) 3537 (c) 3759
  17. 17.The diagonals of a rhombus are 30 cm and 4 cm. What is its area (in square cm)?
  18. 18.What is the value of 5⁵ × 5⁻²? =
  19. 19.What is the value of 5³? =
  20. 20.Use (a − b)² = a² − 2ab + b² to find 32².
  21. 21.Which of these is a perfect cube? (a) 2929 (b) 3221 (c) 2744
  22. 22.Use (a − b)² = a² − 2ab + b² to find 38².
  23. 23.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  24. 24.Solve: 8x + 8 = 4x + 48. What is x?
  25. 25.If a + b = 14 and ab = 48, what is a² + b²?
  26. 26.What is √5329? =
  27. 27.What is the smallest whole number by which 150 must be multiplied to get a perfect square?
  28. 28.A cuboid is 6 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  29. 29.What is the value of 10³? =
  30. 30.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  31. 31.A room is 12 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  32. 32.The length of a rectangle is 1 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
  33. 33.A room is 3 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  34. 34.Find the value of x² + 2xy + y² when x = 7 and y = 4.
  35. 35.The length of a rectangle is 8 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  36. 36.Write (5⁶)⁷ as a single power 5ⁿ. What is n?
  37. 37.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  38. 38.What is the value of 3⁻³ (as a fraction)? =
  39. 39.Use a² − b² = (a + b)(a − b) to find 54² − 8².
  40. 40.A trapezium has parallel sides of 6 cm and 13 cm, and the distance between them is 20 cm. What is its area (in square cm)?

Answer key

  1. 94
  2. 16
  3. 3
  4. 64
  5. 6
  6. 1225
  7. 11610
  8. 60
  9. 171
  10. 49
  11. 280
  12. 1/3125
  13. 292
  14. 11
  15. 51
  16. 3375
  17. 60
  18. 125
  19. 125
  20. 1024
  21. 2744
  22. 1444
  23. 7
  24. 10
  25. 100
  26. 73
  27. 6
  28. 128
  29. 1000
  30. 25
  31. 102
  32. 3
  33. 48
  34. 121
  35. 4
  36. 42
  37. 5
  38. 1/27
  39. 2852
  40. 190

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