← Class 8 final maths test lesson New set →

Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 741 · 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 trapezium has an area of 153 square cm. Its parallel sides are 5 cm and 29 cm. What is the distance between them (in cm)?
  2. 2.The diagonals of a rhombus are 4 cm and 8 cm. What is its area (in square cm)?
  3. 3.What is ∛3375? =
  4. 4.A square garden has an area of 2704 square m. How long is each side (in m)?
  5. 5.Which of these is a perfect cube? (a) 3889 (b) 3933 (c) 3375
  6. 6.What is 26²? =
  7. 7.Find the value of x² + 2xy + y² when x = 3 and y = 2.
  8. 8.Solve: 5(y − 1) = 4y + 2. What is y?
  9. 9.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
  10. 10.If a − b = 5 and ab = 36, what is a² + b²?
  11. 11.What is 24²? =
  12. 12.What is the smallest whole number by which 99 must be multiplied to get a perfect square?
  13. 13.Use (a − b)² = a² − 2ab + b² to find 66².
  14. 14.What is the value of 10⁻² (as a fraction)? =
  15. 15.Find the compound interest on ₹23700 at 10% per year for 1 year, compounded every year (in ₹).
  16. 16.What amount will ₹40000 grow to in 1 year at 25% per year compound interest (in ₹)?
  17. 17.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  18. 18.6.3 × 10⁷ =
  19. 19.Use (a + b)² = a² + 2ab + b² to find 77².
  20. 20.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  21. 21.Use (a + b)(a − b) = a² − b² to find 31 × 29.
  22. 22.Which of these is a perfect cube? (a) 588 (b) 512 (c) 617
  23. 23.Solve: 6(t − 4) = t + 1. What is t?
  24. 24.Write (8⁵)⁶ as a single power 8ⁿ. What is n?
  25. 25.A cuboid is 6 cm long, 7 cm wide and 7 cm high. What is its total surface area (in square cm)?
  26. 26.What is the value of 8²? =
  27. 27.The sum of three consecutive whole numbers is 117. What is the smallest of them?
  28. 28.What is the value of 2⁶ × 2⁻⁶? =
  29. 29.Write 8.8 × 10⁻² as a decimal. =
  30. 30.The length of a rectangle is 14 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  31. 31.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  32. 32.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  33. 33.A father is 36 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  34. 34.Write 7.2 × 10⁻² as a decimal. =
  35. 35.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  36. 36.What is the value of 3⁶ × 3⁻⁶? =
  37. 37.Find the compound interest on ₹28800 at 25% per year for 3 years, compounded every year (in ₹).
  38. 38.What amount will ₹28900 grow to in 1 year at 20% per year compound interest (in ₹)?
  39. 39.Solve: x/6 + x/5 = 77. What is x?
  40. 40.The length of a rectangle is 3 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?

Answer key

  1. 9
  2. 16
  3. 15
  4. 52
  5. 3375
  6. 676
  7. 25
  8. 7
  9. 36
  10. 97
  11. 576
  12. 11
  13. 4356
  14. 1/100
  15. 2370
  16. 50000
  17. 64
  18. 63000000
  19. 5929
  20. 27
  21. 899
  22. 512
  23. 5
  24. 30
  25. 266
  26. 64
  27. 38
  28. 1
  29. 0.088
  30. 18
  31. 4
  32. 7
  33. 10
  34. 0.072
  35. 27
  36. 1
  37. 27450
  38. 34680
  39. 210
  40. 6

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