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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 835 · 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 trapezium has parallel sides of 28 cm and 7 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  2. 2.Write (5⁹)⁴ as a single power 5ⁿ. What is n?
  3. 3.Use (a − b)² = a² − 2ab + b² to find 87².
  4. 4.4.1 × 10⁶ =
  5. 5.Find the value of x² + 2xy + y² when x = 4 and y = 3.
  6. 6.How many whole numbers lie between 11² and 12²?
  7. 7.Which of these is a perfect square? (a) 137 (b) 121 (c) 128
  8. 8.The length of a rectangle is 14 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  9. 9.A square garden has an area of 576 square m. How long is each side (in m)?
  10. 10.Use (a − b)² = a² − 2ab + b² to find 98².
  11. 11.The diagonals of a rhombus are 20 cm and 24 cm. What is its area (in square cm)?
  12. 12.What is 18³? =
  13. 13.Find the value of x² + 2xy + y² when x = 12 and y = 11.
  14. 14.What is 2³? =
  15. 15.Solve: t/3 + t/5 = 32. What is t?
  16. 16.Write (7³)⁹ as a single power 7ⁿ. What is n?
  17. 17.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
  18. 18.What is ∛4096? =
  19. 19.What is 20³? =
  20. 20.What is the value of 2⁶ × 2⁻⁵? =
  21. 21.Use (a − b)² = a² − 2ab + b² to find 67².
  22. 22.A trapezium has parallel sides of 17 cm and 7 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  23. 23.What is the value of 8⁻³ (as a fraction)? =
  24. 24.What is √400? =
  25. 25.Write 5¹² ÷ 5⁶ as a single power 5ⁿ. What is n?
  26. 26.What is the difference between the compound interest and the simple interest on ₹21300 at 20% per year for 2 years (in ₹)?
  27. 27.What is the value of 4⁻¹ (as a fraction)? =
  28. 28.What amount will ₹52800 grow to in 1 year at 12% per year compound interest (in ₹)?
  29. 29.What is the smallest whole number by which 175 must be multiplied to get a perfect square?
  30. 30.A trapezium has an area of 75 square cm. Its parallel sides are 12 cm and 13 cm. What is the distance between them (in cm)?
  31. 31.What is the value of 2³ × 2⁻³? =
  32. 32.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
  33. 33.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  34. 34.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  35. 35.Use (a − b)² = a² − 2ab + b² to find 54².
  36. 36.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.What is the value of 2³? =
  38. 38.What is the value of (3/8)⁻¹? =
  39. 39.A square garden has an area of 3481 square m. How long is each side (in m)?
  40. 40.Use (a − b)² = a² − 2ab + b² to find 52².

Answer key

  1. 315
  2. 36
  3. 7569
  4. 4100000
  5. 49
  6. 22
  7. 121
  8. 22
  9. 24
  10. 9604
  11. 240
  12. 5832
  13. 529
  14. 8
  15. 60
  16. 27
  17. 169
  18. 16
  19. 8000
  20. 2
  21. 4489
  22. 24
  23. 1/512
  24. 20
  25. 6
  26. 852
  27. 1/4
  28. 59136
  29. 7
  30. 6
  31. 1
  32. 676
  33. 11
  34. 15
  35. 2916
  36. 27
  37. 8
  38. 8/3
  39. 59
  40. 2704

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