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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 637 · 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.Use (a − b)² = a² − 2ab + b² to find 61².
  2. 2.What is the value of 3²? =
  3. 3.A scooter is worth ₹38400. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
  4. 4.A scooter is worth ₹8200. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
  5. 5.Use (a − b)² = a² − 2ab + b² to find 43².
  6. 6.What is 3³? =
  7. 7.Use a² − b² = (a + b)(a − b) to find 91² − 78².
  8. 8.What is the value of 2¹⁰? =
  9. 9.What is ∛10648? =
  10. 10.A room is 3 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  11. 11.A square garden has an area of 1156 square m. How long is each side (in m)?
  12. 12.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  13. 13.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  14. 14.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  15. 15.2.7 × 10² =
  16. 16.Use (a + b)² = a² + 2ab + b² to find 101².
  17. 17.What is ∛512? =
  18. 18.What is the value of 3⁴ × 3⁻⁴? =
  19. 19.What is 87²? =
  20. 20.The sum of four consecutive whole numbers is 130. What is the largest of them?
  21. 21.What is the value of 10³ × 10⁻⁵? =
  22. 22.A square garden has an area of 676 square m. How long is each side (in m)?
  23. 23.How many whole numbers lie between 33² and 34²?
  24. 24.The sum of four consecutive whole numbers is 174. What is the largest of them?
  25. 25.A cuboid is 10 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
  26. 26.A scooter is worth ₹2900. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
  27. 27.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  28. 28.A scooter is worth ₹8000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
  29. 29.How many whole numbers lie between 27² and 28²?
  30. 30.What amount will ₹19400 grow to in 1 year at 4% per year compound interest (in ₹)?
  31. 31.Use (a + b)(a − b) = a² − b² to find 27 × 13.
  32. 32.What is ∛27? =
  33. 33.Which of these is a perfect cube? (a) 2075 (b) 1984 (c) 1728
  34. 34.Find the compound interest on ₹24000 at 5% per year for 3 years, compounded every year (in ₹).
  35. 35.What is the value of (7/9)⁻¹? =
  36. 36.What is 4³? =
  37. 37.A cuboid is 4 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
  38. 38.Write (9⁶)⁴ as a single power 9ⁿ. What is n?
  39. 39.A town has 42600 people. The population grows by 20% every year. What will the population be after 1 year?
  40. 40.What is the smallest whole number by which 875 must be divided to get a perfect cube?

Answer key

  1. 3721
  2. 9
  3. 16200
  4. 7790
  5. 1849
  6. 27
  7. 2197
  8. 1024
  9. 22
  10. 70
  11. 34
  12. 5
  13. 8
  14. 13
  15. 270
  16. 10201
  17. 8
  18. 1
  19. 7569
  20. 34
  21. 1/100
  22. 26
  23. 66
  24. 45
  25. 388
  26. 2610
  27. 2904
  28. 6859
  29. 54
  30. 20176
  31. 351
  32. 3
  33. 1728
  34. 3783
  35. 9/7
  36. 64
  37. 108
  38. 24
  39. 51120
  40. 7

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