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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 639 · 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.The length of a rectangle is 12 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  2. 2.Which of these is a perfect cube? (a) 343 (b) 378 (c) 484
  3. 3.Write 55,000 in standard form as 5.5 × 10ⁿ. What is n?
  4. 4.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
  5. 5.What is 5³? =
  6. 6.What is √1156? =
  7. 7.Find the value of x² − y² when x = 9 and y = 8.
  8. 8.What is the value of 2³ × 2⁻¹? =
  9. 9.Solve: 4(n − 2) = 3n + 5. What is n?
  10. 10.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.Find the compound interest on ₹56000 at 12% per year for 1 year, compounded every year (in ₹).
  12. 12.What amount will ₹56000 grow to in 3 years at 5% per year compound interest (in ₹)?
  13. 13.What is 14³? =
  14. 14.What is the value of 2¹ × 2⁻⁴? =
  15. 15.What amount will ₹21000 grow to in 3 years at 10% per year compound interest (in ₹)?
  16. 16.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  17. 17.Use (a − b)² = a² − 2ab + b² to find 68².
  18. 18.Write 270 in standard form as 2.7 × 10ⁿ. What is n?
  19. 19.What is the smallest whole number by which 40 must be divided to get a perfect cube?
  20. 20.A trapezium has an area of 80 square cm. Its parallel sides are 25 cm and 15 cm. What is the distance between them (in cm)?
  21. 21.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  22. 22.Which of these is a perfect square? (a) 576 (b) 610 (c) 623
  23. 23.What is ∛512? =
  24. 24.If a − b = 2 and ab = 8, what is a² + b²?
  25. 25.Use (a + b)² = a² + 2ab + b² to find 14².
  26. 26.A father is 24 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  27. 27.The length of a rectangle is 11 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  28. 28.What amount will ₹13000 grow to in 3 years at 20% per year compound interest (in ₹)?
  29. 29.A trapezium has an area of 63 square cm. Its parallel sides are 8 cm and 13 cm. What is the distance between them (in cm)?
  30. 30.Solve: 3(m − 1) = m + 7. What is m?
  31. 31.Use (a + b)(a − b) = a² − b² to find 108 × 92.
  32. 32.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  33. 33.If a − b = 5 and ab = 24, what is a² + b²?
  34. 34.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  35. 35.What is the difference between the compound interest and the simple interest on ₹22500 at 12% per year for 2 years (in ₹)?
  36. 36.Find the value of x² − 2xy + y² when x = 6 and y = 2.
  37. 37.What is 18²? =
  38. 38.A father is 24 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  39. 39.A square garden has an area of 36 square m. How long is each side (in m)?
  40. 40.What is 4³? =

Answer key

  1. 20
  2. 343
  3. 4
  4. 100
  5. 125
  6. 34
  7. 17
  8. 4
  9. 13
  10. 8
  11. 6720
  12. 64827
  13. 2744
  14. 1/8
  15. 27951
  16. 5
  17. 4624
  18. 2
  19. 5
  20. 4
  21. 19
  22. 576
  23. 8
  24. 20
  25. 196
  26. 5
  27. 15
  28. 22464
  29. 6
  30. 5
  31. 9936
  32. 3456
  33. 73
  34. 24
  35. 324
  36. 16
  37. 324
  38. 2
  39. 6
  40. 64

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