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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 649 · 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 4096 cubic cm. How long is each edge (in cm)?
  2. 2.Find the compound interest on ₹27300 at 12% per year for 1 year, compounded every year (in ₹).
  3. 3.What is ∛6859? =
  4. 4.7.8 × 10⁴ =
  5. 5.If a − b = 2 and ab = 63, what is a² + b²?
  6. 6.Use (a + b)² = a² + 2ab + b² to find 96².
  7. 7.Write (6⁶)⁶ as a single power 6ⁿ. What is n?
  8. 8.Write 3⁴ × 3⁵ as a single power 3ⁿ. What is n?
  9. 9.A square garden has an area of 2916 square m. How long is each side (in m)?
  10. 10.What is the value of 5³ × 5⁻²? =
  11. 11.What is the smallest whole number by which 45 must be divided to get a perfect square?
  12. 12.What is √729? =
  13. 13.A cuboid is 4 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
  14. 14.What is 14³? =
  15. 15.Use (a + b)² = a² + 2ab + b² to find 33².
  16. 16.A trapezium has parallel sides of 10 cm and 2 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  17. 17.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  18. 18.Find the compound interest on ₹60000 at 10% per year for 3 years, compounded every year (in ₹).
  19. 19.What is 9³? =
  20. 20.How many whole numbers lie between 49² and 50²?
  21. 21.Solve: 4(t − 1) = 2t + 14. What is t?
  22. 22.Which of these is a perfect square? (a) 196 (b) 217 (c) 213
  23. 23.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  24. 24.What is ∛1728? =
  25. 25.What is the difference between the compound interest and the simple interest on ₹20000 at 4% per year for 2 years (in ₹)?
  26. 26.How many whole numbers lie between 30² and 31²?
  27. 27.Solve: t/5 + t/2 = 14. What is t?
  28. 28.Write (8⁹)⁵ as a single power 8ⁿ. What is n?
  29. 29.Find the compound interest on ₹22700 at 25% per year for 1 year, compounded every year (in ₹).
  30. 30.Which of these is a perfect square? (a) 592 (b) 598 (c) 576
  31. 31.A cuboid is 6 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
  32. 32.Solve: y/6 + y/3 = 6. What is y?
  33. 33.A trapezium has parallel sides of 5 cm and 13 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  34. 34.A trapezium has an area of 135 square cm. Its parallel sides are 13 cm and 2 cm. What is the distance between them (in cm)?
  35. 35.The diagonals of a rhombus are 22 cm and 17 cm. What is its area (in square cm)?
  36. 36.Solve: 3(y − 3) = 2y + 10. What is y?
  37. 37.Solve: 6n + 7 = 5n + 17. What is n?
  38. 38.Use (a + b)(a − b) = a² − b² to find 62 × 58.
  39. 39.What is the value of 3⁻³ (as a fraction)? =
  40. 40.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?

Answer key

  1. 16
  2. 3276
  3. 19
  4. 78000
  5. 130
  6. 9216
  7. 36
  8. 9
  9. 54
  10. 5
  11. 5
  12. 27
  13. 208
  14. 2744
  15. 1089
  16. 12
  17. 2
  18. 19860
  19. 729
  20. 98
  21. 9
  22. 196
  23. 2
  24. 12
  25. 32
  26. 60
  27. 20
  28. 45
  29. 5675
  30. 576
  31. 188
  32. 12
  33. 171
  34. 18
  35. 187
  36. 19
  37. 10
  38. 3596
  39. 1/27
  40. 9

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