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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 441 · 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.A town has 9200 people. The population grows by 15% every year. What will the population be after 2 years?
  2. 2.Use a² − b² = (a + b)(a − b) to find 62² − 43².
  3. 3.What is the difference between the compound interest and the simple interest on ₹39800 at 20% per year for 2 years (in ₹)?
  4. 4.Use a² − b² = (a + b)(a − b) to find 28² − 2².
  5. 5.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  6. 6.How many whole numbers lie between 11² and 12²?
  7. 7.Solve: 3t + 1 = t + 19. What is t?
  8. 8.Find the compound interest on ₹38000 at 5% per year for 2 years, compounded every year (in ₹).
  9. 9.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.If a + b = 6 and ab = 8, what is a² + b²?
  11. 11.A room is 8 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  12. 12.Which of these is a perfect cube? (a) 1566 (b) 1606 (c) 1331
  13. 13.A trapezium has an area of 75 square cm. Its parallel sides are 21 cm and 4 cm. What is the distance between them (in cm)?
  14. 14.Use (a + b)(a − b) = a² − b² to find 95 × 85.
  15. 15.How many whole numbers lie between 35² and 36²?
  16. 16.What is the difference between the compound interest and the simple interest on ₹2500 at 4% per year for 2 years (in ₹)?
  17. 17.Write 9¹⁰ ÷ 9³ as a single power 9ⁿ. What is n?
  18. 18.What amount will ₹12500 grow to in 2 years at 12% per year compound interest (in ₹)?
  19. 19.Find the value of x² − y² when x = 6 and y = 2.
  20. 20.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  21. 21.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  22. 22.The sum of three consecutive whole numbers is 78. What is the smallest of them?
  23. 23.Solve: 4x + 6 = x + 24. What is x?
  24. 24.What is 13³? =
  25. 25.Write 7¹⁶ ÷ 7⁷ as a single power 7ⁿ. What is n?
  26. 26.The diagonals of a rhombus are 10 cm and 12 cm. What is its area (in square cm)?
  27. 27.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  28. 28.What is the value of 3² × 3⁻²? =
  29. 29.What is the value of 2¹ × 2⁻¹? =
  30. 30.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  31. 31.Solve: 9n + 15 = 2n + 120. What is n?
  32. 32.A town has 54000 people. The population grows by 15% every year. What will the population be after 2 years?
  33. 33.A square garden has an area of 2209 square m. How long is each side (in m)?
  34. 34.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  35. 35.What is the value of 2⁴ × 2⁻⁴? =
  36. 36.What is the value of 3⁻⁵ (as a fraction)? =
  37. 37.Solve: 6y + 15 = 3y + 54. What is y?
  38. 38.The length of a rectangle is 6 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
  39. 39.8.2 × 10⁴ =
  40. 40.Write 3.9 × 10⁻⁴ as a decimal. =

Answer key

  1. 12167
  2. 1995
  3. 1592
  4. 780
  5. 6
  6. 22
  7. 9
  8. 3895
  9. 64
  10. 20
  11. 78
  12. 1331
  13. 6
  14. 8075
  15. 70
  16. 4
  17. 7
  18. 15680
  19. 32
  20. 64
  21. 13
  22. 25
  23. 6
  24. 2197
  25. 9
  26. 60
  27. 8
  28. 1
  29. 1
  30. 8
  31. 15
  32. 71415
  33. 47
  34. 8
  35. 1
  36. 1/243
  37. 13
  38. 30
  39. 82000
  40. 0.00039

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