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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 299 · 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 diagonals of a rhombus are 4 cm and 15 cm. What is its area (in square cm)?
  2. 2.What amount will ₹33500 grow to in 3 years at 20% per year compound interest (in ₹)?
  3. 3.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  4. 4.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.Solve: n/2 + n/3 = 35. What is n?
  6. 6.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  7. 7.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  8. 8.Use (a + b)² = a² + 2ab + b² to find 16².
  9. 9.If a − b = 1 and ab = 2, what is a² + b²?
  10. 10.What is the value of 2⁻² (as a fraction)? =
  11. 11.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  12. 12.The diagonals of a rhombus are 20 cm and 19 cm. What is its area (in square cm)?
  13. 13.Solve: 3(y − 4) = 2y + 13. What is y?
  14. 14.Which of these is a perfect square? (a) 400 (b) 403 (c) 414
  15. 15.How many whole numbers lie between 10² and 11²?
  16. 16.What is the value of 5⁵ × 5⁻³? =
  17. 17.Write 2 × 10⁻² as a decimal. =
  18. 18.What is ∛8000? =
  19. 19.A cuboid is 3 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
  20. 20.The diagonals of a rhombus are 18 cm and 28 cm. What is its area (in square cm)?
  21. 21.Which of these is a perfect cube? (a) 216 (b) 222 (c) 295
  22. 22.A scooter is worth ₹28500. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
  23. 23.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  24. 24.A town has 21000 people. The population grows by 12% every year. What will the population be after 1 year?
  25. 25.What is the value of 2⁵? =
  26. 26.A trapezium has an area of 208 square cm. Its parallel sides are 27 cm and 5 cm. What is the distance between them (in cm)?
  27. 27.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  28. 28.A trapezium has parallel sides of 26 cm and 10 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  29. 29.The length of a rectangle is 9 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  30. 30.What is the value of 5⁻⁴ (as a fraction)? =
  31. 31.A cuboid is 13 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
  32. 32.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
  33. 33.Use (a − b)² = a² − 2ab + b² to find 34².
  34. 34.What is the smallest whole number by which 117 must be divided to get a perfect square?
  35. 35.What is the difference between the compound interest and the simple interest on ₹47600 at 15% per year for 2 years (in ₹)?
  36. 36.How many whole numbers lie between 45² and 46²?
  37. 37.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?
  38. 38.What is the value of 3³ × 3⁻²? =
  39. 39.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  40. 40.Use (a + b)² = a² + 2ab + b² to find 106².

Answer key

  1. 30
  2. 57888
  3. 25
  4. 27
  5. 42
  6. 2904
  7. 19
  8. 256
  9. 5
  10. 1/4
  11. 2
  12. 190
  13. 25
  14. 400
  15. 20
  16. 25
  17. 0.02
  18. 20
  19. 132
  20. 252
  21. 216
  22. 14592
  23. 17
  24. 23520
  25. 32
  26. 13
  27. 216
  28. 72
  29. 9
  30. 1/625
  31. 202
  32. 484
  33. 1156
  34. 13
  35. 1071
  36. 90
  37. 400
  38. 3
  39. 54
  40. 11236

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