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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 394 · 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.Use a² − b² = (a + b)(a − b) to find 88² − 80².
  2. 2.What is the smallest whole number by which 252 must be multiplied to get a perfect square?
  3. 3.A trapezium has an area of 66 square cm. Its parallel sides are 29 cm and 15 cm. What is the distance between them (in cm)?
  4. 4.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  5. 5.Which of these is a perfect square? (a) 196 (b) 222 (c) 199
  6. 6.Which of these is a perfect cube? (a) 3974 (b) 3375 (c) 3621
  7. 7.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  8. 8.A cuboid is 11 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
  9. 9.What is ∛512? =
  10. 10.A room is 11 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  11. 11.The diagonals of a rhombus are 22 cm and 15 cm. What is its area (in square cm)?
  12. 12.Find the compound interest on ₹4400 at 5% per year for 2 years, compounded every year (in ₹).
  13. 13.What is ∛12167? =
  14. 14.What is 2³? =
  15. 15.Use (a + b)² = a² + 2ab + b² to find 12².
  16. 16.Use (a − b)² = a² − 2ab + b² to find 55².
  17. 17.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  18. 18.Solve: 6(p − 2) = 3p + 33. What is p?
  19. 19.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  20. 20.What is 27²? =
  21. 21.Solve: 4x + 9 = 3x + 11. What is x?
  22. 22.Find the value of x² − y² when x = 11 and y = 6.
  23. 23.Use (a − b)² = a² − 2ab + b² to find 58².
  24. 24.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  25. 25.What is the smallest whole number by which 63 must be multiplied to get a perfect square?
  26. 26.What is ∛1331? =
  27. 27.7.2 × 10³ =
  28. 28.Use a² − b² = (a + b)(a − b) to find 39² − 26².
  29. 29.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?
  30. 30.What is the value of 5³ × 5⁻³? =
  31. 31.A father is 10 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  32. 32.What is the value of 2² × 2⁻³? =
  33. 33.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?
  34. 34.Solve: 3(x − 3) = 2x + 11. What is x?
  35. 35.What is the value of 5² × 5⁻⁵? =
  36. 36.What is the difference between the compound interest and the simple interest on ₹58900 at 10% per year for 2 years (in ₹)?
  37. 37.Solve: m/4 + m/2 = 6. What is m?
  38. 38.The sum of two consecutive whole numbers is 27. What is the largest of them?
  39. 39.Write 3.1 × 10⁻⁴ as a decimal. =
  40. 40.Find the value of x² + 2xy + y² when x = 13 and y = 3.

Answer key

  1. 1344
  2. 7
  3. 3
  4. 294
  5. 196
  6. 3375
  7. 5
  8. 304
  9. 8
  10. 160
  11. 165
  12. 451
  13. 23
  14. 8
  15. 144
  16. 3025
  17. 2
  18. 15
  19. 96
  20. 729
  21. 2
  22. 85
  23. 3364
  24. 64
  25. 7
  26. 11
  27. 7200
  28. 845
  29. 196
  30. 1
  31. 3
  32. 1/2
  33. 400
  34. 20
  35. 1/125
  36. 589
  37. 8
  38. 14
  39. 0.00031
  40. 256

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