← Class 8 final maths test lesson New set →

Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 254 · 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 the value of 2³ × 2⁻⁴? =
  2. 2.Write 8⁹ ÷ 8⁶ as a single power 8ⁿ. What is n?
  3. 3.Solve: y/2 + y/3 = 30. What is y?
  4. 4.Use (a + b)² = a² + 2ab + b² to find 81².
  5. 5.Write 6⁹ × 6⁶ as a single power 6ⁿ. What is n?
  6. 6.A trapezium has an area of 21 square cm. Its parallel sides are 17 cm and 4 cm. What is the distance between them (in cm)?
  7. 7.What is the difference between the compound interest and the simple interest on ₹9600 at 20% per year for 2 years (in ₹)?
  8. 8.What is √1024? =
  9. 9.A scooter is worth ₹41600. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
  10. 10.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  11. 11.What amount will ₹11600 grow to in 2 years at 25% per year compound interest (in ₹)?
  12. 12.A trapezium has parallel sides of 30 cm and 10 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  13. 13.What is the value of 2⁵ × 2⁻¹? =
  14. 14.A cuboid is 11 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
  15. 15.Use (a − b)² = a² − 2ab + b² to find 87².
  16. 16.The length of a rectangle is 8 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  17. 17.Solve: 4n + 20 = 3n + 32. What is n?
  18. 18.What is the difference between the compound interest and the simple interest on ₹35000 at 8% per year for 2 years (in ₹)?
  19. 19.Which of these is a perfect square? (a) 340 (b) 351 (c) 324
  20. 20.If a − b = 2 and ab = 99, what is a² + b²?
  21. 21.A father is 30 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  22. 22.What is ∛512? =
  23. 23.A cuboid is 6 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
  24. 24.Find the value of x² − 2xy + y² when x = 8 and y = 4.
  25. 25.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  26. 26.What is the value of 6⁵? =
  27. 27.The diagonals of a rhombus are 6 cm and 27 cm. What is its area (in square cm)?
  28. 28.The sum of two consecutive whole numbers is 21. What is the largest of them?
  29. 29.A trapezium has parallel sides of 9 cm and 11 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  30. 30.What is 69²? =
  31. 31.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  32. 32.Which of these is a perfect square? (a) 200 (b) 208 (c) 196
  33. 33.What is the difference between the compound interest and the simple interest on ₹44200 at 20% per year for 2 years (in ₹)?
  34. 34.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  35. 35.What is the value of 10¹ × 10⁻⁴? =
  36. 36.What is ∛125? =
  37. 37.Find the value of x² − 2xy + y² when x = 4 and y = 1.
  38. 38.Find the compound interest on ₹41700 at 20% per year for 2 years, compounded every year (in ₹).
  39. 39.If a − b = 3 and ab = 4, what is a² + b²?
  40. 40.Use (a − b)² = a² − 2ab + b² to find 17².

Answer key

  1. 1/2
  2. 3
  3. 36
  4. 6561
  5. 15
  6. 2
  7. 384
  8. 32
  9. 17550
  10. 4
  11. 18125
  12. 80
  13. 16
  14. 298
  15. 7569
  16. 26
  17. 12
  18. 224
  19. 324
  20. 202
  21. 6
  22. 8
  23. 344
  24. 16
  25. 17
  26. 7776
  27. 81
  28. 11
  29. 130
  30. 4761
  31. 4
  32. 196
  33. 1768
  34. 600
  35. 1/1000
  36. 5
  37. 9
  38. 18348
  39. 17
  40. 289

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