← Class 8 final maths test lesson New set →

Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 187 · 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 13³? =
  2. 2.A scooter is worth ₹56000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
  3. 3.A room is 4 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  4. 4.Use a² − b² = (a + b)(a − b) to find 20² − 16².
  5. 5.A cuboid is 8 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
  6. 6.What is 51²? =
  7. 7.Find the compound interest on ₹12300 at 5% per year for 1 year, compounded every year (in ₹).
  8. 8.A father is 10 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  9. 9.What is the value of 3⁶ × 3⁻⁶? =
  10. 10.Which of these is a perfect cube? (a) 33 (b) 27 (c) 53
  11. 11.What is 27²? =
  12. 12.Write 7.2 × 10⁻⁴ as a decimal. =
  13. 13.What is the smallest whole number by which 343 must be divided to get a perfect square?
  14. 14.Write 3⁷ × 3⁹ as a single power 3ⁿ. What is n?
  15. 15.What is the smallest whole number by which 637 must be multiplied to get a perfect square?
  16. 16.Use (a + b)(a − b) = a² − b² to find 74 × 66.
  17. 17.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  18. 18.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  19. 19.The length of a rectangle is 3 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  20. 20.A room is 3 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  21. 21.What amount will ₹29600 grow to in 1 year at 15% per year compound interest (in ₹)?
  22. 22.How many whole numbers lie between 26² and 27²?
  23. 23.What is the value of (1/4)⁻¹? =
  24. 24.Find the value of x² − y² when x = 8 and y = 2.
  25. 25.If a − b = 8 and ab = 9, what is a² + b²?
  26. 26.What is √6084? =
  27. 27.Use a² − b² = (a + b)(a − b) to find 78² − 17².
  28. 28.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  29. 29.A trapezium has parallel sides of 6 cm and 23 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  30. 30.What is the value of 4⁷? =
  31. 31.What is 21²? =
  32. 32.What is √841? =
  33. 33.A room is 12 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  34. 34.What is √1089? =
  35. 35.A cuboid is 15 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
  36. 36.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  37. 37.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  38. 38.What is the value of 2²? =
  39. 39.Find the compound interest on ₹57800 at 15% per year for 1 year, compounded every year (in ₹).
  40. 40.Write 5³ × 5⁵ as a single power 5ⁿ. What is n?

Answer key

  1. 2197
  2. 48013
  3. 56
  4. 144
  5. 556
  6. 2601
  7. 615
  8. 8
  9. 1
  10. 27
  11. 729
  12. 0.00072
  13. 7
  14. 16
  15. 13
  16. 4884
  17. 5
  18. 18
  19. 6
  20. 80
  21. 34040
  22. 52
  23. 4
  24. 60
  25. 82
  26. 78
  27. 5795
  28. 9
  29. 116
  30. 16384
  31. 441
  32. 29
  33. 150
  34. 33
  35. 470
  36. 18
  37. 3
  38. 4
  39. 8670
  40. 8

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets