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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 662 · 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 amount will ₹47900 grow to in 1 year at 15% per year compound interest (in ₹)?
  2. 2.What is the value of 5⁻³ (as a fraction)? =
  3. 3.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  4. 4.The diagonals of a rhombus are 22 cm and 15 cm. What is its area (in square cm)?
  5. 5.Solve: 5p + 4 = 2p + 31. What is p?
  6. 6.Use (a + b)(a − b) = a² − b² to find 37 × 23.
  7. 7.What is 59²? =
  8. 8.Use (a − b)² = a² − 2ab + b² to find 64².
  9. 9.Find the compound interest on ₹6200 at 12% per year for 1 year, compounded every year (in ₹).
  10. 10.Solve: 5(m − 5) = 3m + 17. What is m?
  11. 11.How many whole numbers lie between 23² and 24²?
  12. 12.Use (a − b)² = a² − 2ab + b² to find 59².
  13. 13.Which of these is a perfect cube? (a) 67 (b) 73 (c) 64
  14. 14.What is the value of 10³ × 10⁻³? =
  15. 15.The length of a rectangle is 5 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  16. 16.A cuboid is 8 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  17. 17.What is 67²? =
  18. 18.Find the value of x² − y² when x = 7 and y = 3.
  19. 19.What is the difference between the compound interest and the simple interest on ₹5000 at 8% per year for 2 years (in ₹)?
  20. 20.A trapezium has parallel sides of 9 cm and 14 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  21. 21.What is 15³? =
  22. 22.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
  23. 23.What is ∛4913? =
  24. 24.The length of a rectangle is 10 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  25. 25.Which of these is a perfect cube? (a) 149 (b) 182 (c) 125
  26. 26.What is √2304? =
  27. 27.A square garden has an area of 1156 square m. How long is each side (in m)?
  28. 28.What is the value of 3¹ × 3⁻⁴? =
  29. 29.The diagonals of a rhombus are 6 cm and 5 cm. What is its area (in square cm)?
  30. 30.Find the value of x² − 2xy + y² when x = 4 and y = 1.
  31. 31.Which of these is a perfect cube? (a) 283 (b) 262 (c) 216
  32. 32.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  33. 33.Write (9⁸)⁵ as a single power 9ⁿ. What is n?
  34. 34.Find the compound interest on ₹60000 at 8% per year for 2 years, compounded every year (in ₹).
  35. 35.Use (a + b)² = a² + 2ab + b² to find 64².
  36. 36.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  37. 37.A father is 13 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  38. 38.The sum of three consecutive whole numbers is 51. What is the smallest of them?
  39. 39.Solve: 4(n − 2) = n + 31. What is n?
  40. 40.What is 4³? =

Answer key

  1. 55085
  2. 1/125
  3. 9
  4. 165
  5. 9
  6. 851
  7. 3481
  8. 4096
  9. 744
  10. 21
  11. 46
  12. 3481
  13. 64
  14. 1
  15. 11
  16. 112
  17. 4489
  18. 40
  19. 32
  20. 46
  21. 3375
  22. 529
  23. 17
  24. 24
  25. 125
  26. 48
  27. 34
  28. 1/27
  29. 15
  30. 9
  31. 216
  32. 16
  33. 40
  34. 9984
  35. 4096
  36. 12
  37. 11
  38. 16
  39. 13
  40. 64

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