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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 930 · 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.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  2. 2.Use (a − b)² = a² − 2ab + b² to find 96².
  3. 3.What is 7³? =
  4. 4.Solve: 9t + 13 = 3t + 49. What is t?
  5. 5.Which of these is a perfect cube? (a) 216 (b) 271 (c) 253
  6. 6.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
  7. 7.Use (a − b)² = a² − 2ab + b² to find 57².
  8. 8.Which of these is a perfect cube? (a) 633 (b) 512 (c) 680
  9. 9.A square garden has an area of 225 square m. How long is each side (in m)?
  10. 10.Which of these is a perfect square? (a) 268 (b) 275 (c) 256
  11. 11.What is 27²? =
  12. 12.What is the difference between the compound interest and the simple interest on ₹42500 at 12% per year for 2 years (in ₹)?
  13. 13.Find the value of x² − y² when x = 12 and y = 8.
  14. 14.What is √9801? =
  15. 15.What is 13³? =
  16. 16.What is the value of 2²? =
  17. 17.A room is 3 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  18. 18.The diagonals of a rhombus are 24 cm and 11 cm. What is its area (in square cm)?
  19. 19.A scooter is worth ₹8300. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
  20. 20.Find the value of x² + 2xy + y² when x = 5 and y = 2.
  21. 21.What is the value of 6⁻³ (as a fraction)? =
  22. 22.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  23. 23.A room is 5 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  24. 24.Use (a + b)(a − b) = a² − b² to find 42 × 38.
  25. 25.What is the value of 2⁸? =
  26. 26.A square garden has an area of 1089 square m. How long is each side (in m)?
  27. 27.If a − b = 5 and ab = 14, what is a² + b²?
  28. 28.The diagonals of a rhombus are 14 cm and 9 cm. What is its area (in square cm)?
  29. 29.A trapezium has parallel sides of 7 cm and 28 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  30. 30.What is the value of (2/3)⁻¹? =
  31. 31.The diagonals of a rhombus are 4 cm and 3 cm. What is its area (in square cm)?
  32. 32.The sum of two consecutive whole numbers is 83. What is the largest of them?
  33. 33.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  34. 34.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  35. 35.A square garden has an area of 196 square m. How long is each side (in m)?
  36. 36.Write 4.1 × 10⁻⁴ as a decimal. =
  37. 37.Solve: 6(y − 1) = y + 44. What is y?
  38. 38.What is the value of 2⁷? =
  39. 39.Solve: p/4 + p/5 = 36. What is p?
  40. 40.Use (a − b)² = a² − 2ab + b² to find 86².

Answer key

  1. 14
  2. 9216
  3. 343
  4. 6
  5. 216
  6. 841
  7. 3249
  8. 512
  9. 15
  10. 256
  11. 729
  12. 612
  13. 80
  14. 99
  15. 2197
  16. 4
  17. 78
  18. 132
  19. 7968
  20. 49
  21. 1/216
  22. 3
  23. 54
  24. 1596
  25. 256
  26. 33
  27. 53
  28. 63
  29. 175
  30. 3/2
  31. 6
  32. 42
  33. 9
  34. 64
  35. 14
  36. 0.00041
  37. 10
  38. 128
  39. 80
  40. 7396

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