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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 46 · 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.Solve: 5m + 12 = 3m + 28. What is m?
  2. 2.What is the value of 2¹⁵? =
  3. 3.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  4. 4.Use (a − b)² = a² − 2ab + b² to find 32².
  5. 5.The sum of four consecutive whole numbers is 106. What is the smallest of them?
  6. 6.The sum of two consecutive whole numbers is 47. What is the largest of them?
  7. 7.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.What is the value of 2²? =
  9. 9.Write 4.2 × 10⁻¹ as a decimal. =
  10. 10.Solve: 4n + 12 = 2n + 16. What is n?
  11. 11.Write 6⁹ × 6² as a single power 6ⁿ. What is n?
  12. 12.Which of these is a perfect cube? (a) 27 (b) 45 (c) 42
  13. 13.A father is 33 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  14. 14.A trapezium has parallel sides of 7 cm and 12 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  15. 15.A cuboid is 11 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
  16. 16.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  17. 17.Solve: 5(x − 2) = x + 18. What is x?
  18. 18.What is √5776? =
  19. 19.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?
  20. 20.Use a² − b² = (a + b)(a − b) to find 61² − 10².
  21. 21.What is 96²? =
  22. 22.Write 4⁵ × 4⁴ as a single power 4ⁿ. What is n?
  23. 23.Solve: 3(m − 4) = 2m + 9. What is m?
  24. 24.What is 9³? =
  25. 25.Find the compound interest on ₹17800 at 25% per year for 1 year, compounded every year (in ₹).
  26. 26.A cuboid is 3 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
  27. 27.What is ∛10648? =
  28. 28.Find the compound interest on ₹15500 at 20% per year for 3 years, compounded every year (in ₹).
  29. 29.A father is 60 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  30. 30.What is the difference between the compound interest and the simple interest on ₹54800 at 25% per year for 2 years (in ₹)?
  31. 31.A trapezium has an area of 153 square cm. Its parallel sides are 4 cm and 14 cm. What is the distance between them (in cm)?
  32. 32.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  33. 33.Find the compound interest on ₹25000 at 4% per year for 2 years, compounded every year (in ₹).
  34. 34.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  35. 35.Which of these is a perfect square? (a) 1089 (b) 1116 (c) 1094
  36. 36.What is √1369? =
  37. 37.Write 9.2 × 10⁻¹ as a decimal. =
  38. 38.What is the value of 10¹ × 10⁻²? =
  39. 39.A cuboid is 11 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  40. 40.Which of these is a perfect cube? (a) 2326 (b) 2207 (c) 2197

Answer key

  1. 8
  2. 32768
  3. 10
  4. 1024
  5. 25
  6. 24
  7. 216
  8. 4
  9. 0.42
  10. 2
  11. 11
  12. 27
  13. 10
  14. 152
  15. 506
  16. 9
  17. 7
  18. 76
  19. 8
  20. 3621
  21. 9216
  22. 9
  23. 21
  24. 729
  25. 4450
  26. 190
  27. 22
  28. 11284
  29. 12
  30. 3425
  31. 17
  32. 7
  33. 2040
  34. 4
  35. 1089
  36. 37
  37. 0.92
  38. 1/10
  39. 206
  40. 2197

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