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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 589 · 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 × 2⁻³? =
  2. 2.Solve: 5y + 4 = 2y + 13. What is y?
  3. 3.What is the difference between the compound interest and the simple interest on ₹2500 at 12% per year for 2 years (in ₹)?
  4. 4.What is the value of (2/7)⁻¹? =
  5. 5.What is √8649? =
  6. 6.Find the value of x² + 2xy + y² when x = 6 and y = 3.
  7. 7.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  8. 8.What is the value of 6³? =
  9. 9.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  10. 10.The diagonals of a rhombus are 4 cm and 4 cm. What is its area (in square cm)?
  11. 11.Write 6,90,000 in standard form as 6.9 × 10ⁿ. What is n?
  12. 12.A trapezium has an area of 270 square cm. Its parallel sides are 21 cm and 15 cm. What is the distance between them (in cm)?
  13. 13.A father is 45 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?
  14. 14.Use (a + b)(a − b) = a² − b² to find 73 × 67.
  15. 15.What is 34²? =
  16. 16.The length of a rectangle is 4 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  17. 17.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  18. 18.What is √1089? =
  19. 19.What is √1024? =
  20. 20.A cuboid is 12 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
  21. 21.What amount will ₹58000 grow to in 2 years at 15% per year compound interest (in ₹)?
  22. 22.Use (a − b)² = a² − 2ab + b² to find 24².
  23. 23.Use (a + b)² = a² + 2ab + b² to find 14².
  24. 24.Solve: 5(n − 3) = 2n + 9. What is n?
  25. 25.What is the difference between the compound interest and the simple interest on ₹25000 at 8% per year for 2 years (in ₹)?
  26. 26.What is 11³? =
  27. 27.What is √2500? =
  28. 28.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  29. 29.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  30. 30.What amount will ₹58000 grow to in 1 year at 10% per year compound interest (in ₹)?
  31. 31.Find the value of x² − y² when x = 4 and y = 1.
  32. 32.The length of a rectangle is 3 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
  33. 33.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  34. 34.Use (a − b)² = a² − 2ab + b² to find 23².
  35. 35.What is the value of 4⁻¹ (as a fraction)? =
  36. 36.Solve: 3(m − 1) = m + 7. What is m?
  37. 37.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.What is 11²? =
  39. 39.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  40. 40.A square garden has an area of 1849 square m. How long is each side (in m)?

Answer key

  1. 1
  2. 3
  3. 36
  4. 7/2
  5. 93
  6. 81
  7. 25
  8. 216
  9. 25
  10. 8
  11. 5
  12. 15
  13. 12
  14. 4891
  15. 1156
  16. 4
  17. 27
  18. 33
  19. 32
  20. 324
  21. 76705
  22. 576
  23. 196
  24. 8
  25. 160
  26. 1331
  27. 50
  28. 726
  29. 2
  30. 63800
  31. 15
  32. 2
  33. 49
  34. 529
  35. 1/4
  36. 5
  37. 216
  38. 121
  39. 3456
  40. 43

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