← Class 8 final maths test lesson New set →

Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 279 · 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 ∛8000? =
  2. 2.What is the value of 3³ × 3⁻²? =
  3. 3.What is 20²? =
  4. 4.Use (a + b)(a − b) = a² − b² to find 95 × 85.
  5. 5.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  6. 6.What is the difference between the compound interest and the simple interest on ₹33200 at 15% per year for 2 years (in ₹)?
  7. 7.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  8. 8.What is the smallest whole number by which 54 must be divided to get a perfect square?
  9. 9.Solve: m/3 + m/2 = 10. What is m?
  10. 10.Use (a + b)² = a² + 2ab + b² to find 62².
  11. 11.What is the smallest whole number by which 27 must be divided to get a perfect square?
  12. 12.How many whole numbers lie between 5² and 6²?
  13. 13.What is √225? =
  14. 14.Find the compound interest on ₹50200 at 25% per year for 1 year, compounded every year (in ₹).
  15. 15.A trapezium has an area of 90 square cm. Its parallel sides are 25 cm and 20 cm. What is the distance between them (in cm)?
  16. 16.What amount will ₹2900 grow to in 1 year at 10% per year compound interest (in ₹)?
  17. 17.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  18. 18.What amount will ₹16500 grow to in 1 year at 8% per year compound interest (in ₹)?
  19. 19.A scooter is worth ₹37200. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
  20. 20.What is the value of 3⁸? =
  21. 21.Solve: 4(n − 1) = 2n + 16. What is n?
  22. 22.Find the compound interest on ₹17100 at 8% per year for 1 year, compounded every year (in ₹).
  23. 23.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  24. 24.What amount will ₹59000 grow to in 3 years at 10% per year compound interest (in ₹)?
  25. 25.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  26. 26.How many whole numbers lie between 48² and 49²?
  27. 27.Find the value of x² − y² when x = 5 and y = 4.
  28. 28.A square garden has an area of 3600 square m. How long is each side (in m)?
  29. 29.Find the compound interest on ₹9600 at 25% per year for 3 years, compounded every year (in ₹).
  30. 30.Write (2⁴)⁹ as a single power 2ⁿ. What is n?
  31. 31.Which of these is a perfect cube? (a) 2818 (b) 2901 (c) 2744
  32. 32.Write 85,00,000 in standard form as 8.5 × 10ⁿ. What is n?
  33. 33.A scooter is worth ₹48000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
  34. 34.What is √3249? =
  35. 35.What is the smallest whole number by which 44 must be multiplied to get a perfect square?
  36. 36.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  37. 37.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.Write 2¹⁰ ÷ 2⁷ as a single power 2ⁿ. What is n?
  39. 39.A town has 48000 people. The population grows by 5% every year. What will the population be after 3 years?
  40. 40.Use (a − b)² = a² − 2ab + b² to find 15².

Answer key

  1. 20
  2. 3
  3. 400
  4. 8075
  5. 9
  6. 747
  7. 9
  8. 6
  9. 12
  10. 3844
  11. 3
  12. 10
  13. 15
  14. 12550
  15. 4
  16. 3190
  17. 1734
  18. 17820
  19. 33480
  20. 6561
  21. 10
  22. 1368
  23. 6
  24. 78529
  25. 9
  26. 96
  27. 9
  28. 60
  29. 9150
  30. 36
  31. 2744
  32. 6
  33. 29478
  34. 57
  35. 11
  36. 8
  37. 27
  38. 3
  39. 55566
  40. 225

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