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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 250 · 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 3 × 10⁻² as a decimal. =
  2. 2.What is 20³? =
  3. 3.Solve: 3(y − 3) = 2y + 4. What is y?
  4. 4.If a + b = 6 and ab = 5, what is a² + b²?
  5. 5.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  6. 6.What is ∛343? =
  7. 7.Use (a + b)(a − b) = a² − b² to find 49 × 31.
  8. 8.Use (a − b)² = a² − 2ab + b² to find 45².
  9. 9.If a + b = 14 and ab = 48, what is a² + b²?
  10. 10.The sum of three consecutive whole numbers is 96. What is the largest of them?
  11. 11.Write 2.2 × 10⁻⁴ as a decimal. =
  12. 12.What is the difference between the compound interest and the simple interest on ₹20000 at 4% per year for 2 years (in ₹)?
  13. 13.If a − b = 2 and ab = 48, what is a² + b²?
  14. 14.What is the value of (2/9)⁻²? =
  15. 15.What is the difference between the compound interest and the simple interest on ₹26000 at 15% per year for 2 years (in ₹)?
  16. 16.Write (2⁵)³ as a single power 2ⁿ. What is n?
  17. 17.A trapezium has an area of 144 square cm. Its parallel sides are 16 cm and 20 cm. What is the distance between them (in cm)?
  18. 18.What is √2209? =
  19. 19.Write 5⁶ ÷ 5⁴ as a single power 5ⁿ. What is n?
  20. 20.What is √1369? =
  21. 21.A father is 14 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  22. 22.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.The diagonals of a rhombus are 20 cm and 22 cm. What is its area (in square cm)?
  24. 24.A cuboid is 7 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
  25. 25.If a + b = 13 and ab = 30, what is a² + b²?
  26. 26.What is √1024? =
  27. 27.5.2 × 10⁵ =
  28. 28.Which of these is a perfect cube? (a) 590 (b) 512 (c) 531
  29. 29.The length of a rectangle is 14 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
  30. 30.The diagonals of a rhombus are 12 cm and 6 cm. What is its area (in square cm)?
  31. 31.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
  32. 32.Use (a + b)² = a² + 2ab + b² to find 21².
  33. 33.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  34. 34.7.1 × 10⁴ =
  35. 35.A father is 8 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  36. 36.The diagonals of a rhombus are 18 cm and 15 cm. What is its area (in square cm)?
  37. 37.Solve: x/6 + x/2 = 12. What is x?
  38. 38.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
  39. 39.What is the value of 2⁵ × 2⁻⁶? =
  40. 40.A trapezium has parallel sides of 18 cm and 3 cm, and the distance between them is 4 cm. What is its area (in square cm)?

Answer key

  1. 0.03
  2. 8000
  3. 13
  4. 26
  5. 8
  6. 7
  7. 1519
  8. 2025
  9. 100
  10. 33
  11. 0.00022
  12. 32
  13. 100
  14. 81/4
  15. 585
  16. 15
  17. 8
  18. 47
  19. 2
  20. 37
  21. 10
  22. 64
  23. 220
  24. 254
  25. 109
  26. 32
  27. 520000
  28. 512
  29. 26
  30. 36
  31. 441
  32. 441
  33. 6
  34. 71000
  35. 4
  36. 135
  37. 18
  38. 121
  39. 1/2
  40. 42

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