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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 647 · 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 ∛15625? =
  2. 2.Write 7.1 × 10⁻³ as a decimal. =
  3. 3.Find the compound interest on ₹2000 at 15% per year for 2 years, compounded every year (in ₹).
  4. 4.A father is 14 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  5. 5.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.How many whole numbers lie between 11² and 12²?
  7. 7.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  8. 8.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  9. 9.Which of these is a perfect cube? (a) 228 (b) 280 (c) 216
  10. 10.What is the value of 3⁵? =
  11. 11.What is the value of 2¹¹? =
  12. 12.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  13. 13.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  14. 14.What is ∛125? =
  15. 15.What is 46²? =
  16. 16.What is ∛8? =
  17. 17.The diagonals of a rhombus are 6 cm and 21 cm. What is its area (in square cm)?
  18. 18.What is 11³? =
  19. 19.Use a² − b² = (a + b)(a − b) to find 52² − 50².
  20. 20.Write 9,00,000 in standard form as 9 × 10ⁿ. What is n?
  21. 21.What is the value of 2³ × 2⁻²? =
  22. 22.A trapezium has parallel sides of 22 cm and 23 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  23. 23.The length of a rectangle is 8 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  24. 24.Find the compound interest on ₹16000 at 5% per year for 3 years, compounded every year (in ₹).
  25. 25.Write 8,10,000 in standard form as 8.1 × 10ⁿ. What is n?
  26. 26.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  27. 27.Solve: t/2 + t/4 = 21. What is t?
  28. 28.Find the compound interest on ₹44600 at 10% per year for 1 year, compounded every year (in ₹).
  29. 29.What is the value of (7/9)⁻¹? =
  30. 30.How many whole numbers lie between 8² and 9²?
  31. 31.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
  32. 32.What is the value of 2³ × 2⁻⁶? =
  33. 33.What amount will ₹10000 grow to in 2 years at 5% per year compound interest (in ₹)?
  34. 34.Solve: 4(n − 4) = n + 20. What is n?
  35. 35.What is √144? =
  36. 36.A town has 19200 people. The population grows by 25% every year. What will the population be after 2 years?
  37. 37.Find the compound interest on ₹42500 at 4% per year for 2 years, compounded every year (in ₹).
  38. 38.Find the value of x² + 2xy + y² when x = 9 and y = 5.
  39. 39.Use (a − b)² = a² − 2ab + b² to find 38².
  40. 40.What is 45²? =

Answer key

  1. 25
  2. 0.0071
  3. 645
  4. 8
  5. 64
  6. 22
  7. 1014
  8. 19
  9. 216
  10. 243
  11. 2048
  12. 4
  13. 2904
  14. 5
  15. 2116
  16. 2
  17. 63
  18. 1331
  19. 204
  20. 5
  21. 2
  22. 405
  23. 12
  24. 2522
  25. 5
  26. 7
  27. 28
  28. 4460
  29. 9/7
  30. 16
  31. 625
  32. 1/8
  33. 11025
  34. 12
  35. 12
  36. 30000
  37. 3468
  38. 196
  39. 1444
  40. 2025

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