← Class 8 final maths test lesson New set →

Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 89 · 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.Write 3² × 3⁵ as a single power 3ⁿ. What is n?
  2. 2.What amount will ₹43000 grow to in 3 years at 10% per year compound interest (in ₹)?
  3. 3.How many whole numbers lie between 47² and 48²?
  4. 4.Use (a − b)² = a² − 2ab + b² to find 85².
  5. 5.8.4 × 10⁶ =
  6. 6.The diagonals of a rhombus are 26 cm and 16 cm. What is its area (in square cm)?
  7. 7.Use (a + b)(a − b) = a² − b² to find 24 × 16.
  8. 8.Solve: m/3 + m/5 = 40. What is m?
  9. 9.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.Use (a − b)² = a² − 2ab + b² to find 83².
  11. 11.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  12. 12.Write 1.4 × 10⁻¹ as a decimal. =
  13. 13.What is 71²? =
  14. 14.The length of a rectangle is 5 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  15. 15.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  16. 16.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  17. 17.Find the compound interest on ₹48000 at 5% per year for 3 years, compounded every year (in ₹).
  18. 18.Use (a − b)² = a² − 2ab + b² to find 57².
  19. 19.What is the difference between the compound interest and the simple interest on ₹17500 at 8% per year for 2 years (in ₹)?
  20. 20.Solve: 3(n − 3) = 2n + 6. What is n?
  21. 21.The sum of three consecutive whole numbers is 75. What is the largest of them?
  22. 22.What is the value of 2⁸? =
  23. 23.What is the value of 2⁷? =
  24. 24.What is the smallest whole number by which 125 must be multiplied to get a perfect square?
  25. 25.The sum of two consecutive whole numbers is 37. What is the smallest of them?
  26. 26.Use (a + b)² = a² + 2ab + b² to find 81².
  27. 27.Use a² − b² = (a + b)(a − b) to find 95² − 8².
  28. 28.A father is 22 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  29. 29.Which of these is a perfect square? (a) 625 (b) 675 (c) 645
  30. 30.What is the value of 2¹⁰? =
  31. 31.What is the value of 2¹⁶? =
  32. 32.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  33. 33.Find the compound interest on ₹11200 at 4% per year for 1 year, compounded every year (in ₹).
  34. 34.Solve: t/6 + t/5 = 55. What is t?
  35. 35.How many whole numbers lie between 45² and 46²?
  36. 36.Write 7 × 10⁻¹ as a decimal. =
  37. 37.A square garden has an area of 3600 square m. How long is each side (in m)?
  38. 38.The length of a rectangle is 4 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  39. 39.What is 37²? =
  40. 40.Solve: 9n + 20 = 7n + 42. What is n?

Answer key

  1. 7
  2. 57233
  3. 94
  4. 7225
  5. 8400000
  6. 208
  7. 384
  8. 75
  9. 27
  10. 6889
  11. 12
  12. 0.14
  13. 5041
  14. 13
  15. 125
  16. 11
  17. 7566
  18. 3249
  19. 112
  20. 15
  21. 26
  22. 256
  23. 128
  24. 5
  25. 18
  26. 6561
  27. 8961
  28. 8
  29. 625
  30. 1024
  31. 65536
  32. 9
  33. 448
  34. 150
  35. 90
  36. 0.7
  37. 60
  38. 8
  39. 1369
  40. 11

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