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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 948 · 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 ∛12167? =
  2. 2.What is 9³? =
  3. 3.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  4. 4.What is √1521? =
  5. 5.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  6. 6.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  7. 7.Write 8.1 × 10⁻¹ as a decimal. =
  8. 8.Use (a + b)² = a² + 2ab + b² to find 12².
  9. 9.Use (a + b)(a − b) = a² − b² to find 21 × 19.
  10. 10.What is the value of 10⁴ × 10⁻³? =
  11. 11.Find the compound interest on ₹45000 at 10% per year for 3 years, compounded every year (in ₹).
  12. 12.Find the compound interest on ₹46500 at 10% per year for 1 year, compounded every year (in ₹).
  13. 13.A square garden has an area of 400 square m. How long is each side (in m)?
  14. 14.What is ∛4096? =
  15. 15.Write 9.1 × 10⁻⁴ as a decimal. =
  16. 16.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
  17. 17.Write 7⁶ × 7² as a single power 7ⁿ. What is n?
  18. 18.What is √529? =
  19. 19.What is the value of 4²? =
  20. 20.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  21. 21.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  22. 22.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
  23. 23.How many whole numbers lie between 14² and 15²?
  24. 24.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.Write 89,000 in standard form as 8.9 × 10ⁿ. What is n?
  26. 26.What is the value of 2⁶? =
  27. 27.Write 4⁷ × 4³ as a single power 4ⁿ. What is n?
  28. 28.What is the difference between the compound interest and the simple interest on ₹2800 at 5% per year for 2 years (in ₹)?
  29. 29.2.3 × 10² =
  30. 30.A father is 9 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  31. 31.Solve: 5(t − 4) = 4t + 12. What is t?
  32. 32.What is the smallest whole number by which 63 must be divided to get a perfect square?
  33. 33.Solve: 6(t − 4) = 5t + 13. What is t?
  34. 34.Find the compound interest on ₹35000 at 4% per year for 2 years, compounded every year (in ₹).
  35. 35.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
  36. 36.Use a² − b² = (a + b)(a − b) to find 32² − 15².
  37. 37.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.A trapezium has an area of 148 square cm. Its parallel sides are 24 cm and 13 cm. What is the distance between them (in cm)?
  39. 39.Find the compound interest on ₹23000 at 10% per year for 3 years, compounded every year (in ₹).
  40. 40.What is the smallest whole number by which 7 must be divided to get a perfect cube?

Answer key

  1. 23
  2. 729
  3. 11
  4. 39
  5. 7
  6. 13
  7. 0.81
  8. 144
  9. 399
  10. 10
  11. 14895
  12. 4650
  13. 20
  14. 16
  15. 0.00091
  16. 25
  17. 8
  18. 23
  19. 16
  20. 64
  21. 7
  22. 484
  23. 28
  24. 216
  25. 4
  26. 64
  27. 10
  28. 7
  29. 230
  30. 3
  31. 32
  32. 7
  33. 37
  34. 2856
  35. 529
  36. 799
  37. 125
  38. 8
  39. 7613
  40. 7

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