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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 575 · 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 the value of 7⁻¹ (as a fraction)? =
  2. 2.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  3. 3.Write 32,00,000 in standard form as 3.2 × 10ⁿ. What is n?
  4. 4.Write 6⁵ × 6⁷ as a single power 6ⁿ. What is n?
  5. 5.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  6. 6.A cuboid is 9 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
  7. 7.Solve: p/3 + p/2 = 25. What is p?
  8. 8.What is the smallest whole number by which 128 must be divided to get a perfect square?
  9. 9.What is √729? =
  10. 10.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  11. 11.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
  12. 12.What is ∛64? =
  13. 13.A scooter is worth ₹7100. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
  14. 14.A trapezium has an area of 230 square cm. Its parallel sides are 17 cm and 6 cm. What is the distance between them (in cm)?
  15. 15.Find the compound interest on ₹39000 at 10% per year for 3 years, compounded every year (in ₹).
  16. 16.Solve: n/4 + n/6 = 40. What is n?
  17. 17.What is 22²? =
  18. 18.What is the value of 2⁻⁴ (as a fraction)? =
  19. 19.A square garden has an area of 3136 square m. How long is each side (in m)?
  20. 20.What is the value of 10³ × 10⁻⁵? =
  21. 21.Use (a − b)² = a² − 2ab + b² to find 31².
  22. 22.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  23. 23.Write 1.2 × 10⁻² as a decimal. =
  24. 24.A cuboid is 5 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
  25. 25.A cuboid is 15 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
  26. 26.What is 30²? =
  27. 27.Solve: 5(n − 5) = 3n + 7. What is n?
  28. 28.Use (a − b)² = a² − 2ab + b² to find 98².
  29. 29.The length of a rectangle is 9 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  30. 30.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  31. 31.A father is 32 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  32. 32.What is 6³? =
  33. 33.What is √1681? =
  34. 34.What is ∛9261? =
  35. 35.How many whole numbers lie between 14² and 15²?
  36. 36.Find the value of x² + 2xy + y² when x = 4 and y = 1.
  37. 37.Find the compound interest on ₹49500 at 20% per year for 2 years, compounded every year (in ₹).
  38. 38.Use (a − b)² = a² − 2ab + b² to find 64².
  39. 39.A father is 9 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  40. 40.The length of a rectangle is 9 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?

Answer key

  1. 1/7
  2. 27
  3. 6
  4. 12
  5. 18
  6. 150
  7. 30
  8. 2
  9. 27
  10. 3
  11. 441
  12. 4
  13. 6248
  14. 20
  15. 12909
  16. 96
  17. 484
  18. 1/16
  19. 56
  20. 1/100
  21. 961
  22. 726
  23. 0.012
  24. 90
  25. 306
  26. 900
  27. 16
  28. 9604
  29. 13
  30. 1536
  31. 8
  32. 216
  33. 41
  34. 21
  35. 28
  36. 25
  37. 21780
  38. 4096
  39. 6
  40. 12

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