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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 346 · 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.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  2. 2.5.4 × 10⁶ =
  3. 3.Write 6⁸ × 6⁶ as a single power 6ⁿ. What is n?
  4. 4.What is √289? =
  5. 5.Write 5⁵ × 5⁶ as a single power 5ⁿ. What is n?
  6. 6.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  7. 7.A town has 8400 people. The population grows by 15% every year. What will the population be after 2 years?
  8. 8.What is 56²? =
  9. 9.The sum of four consecutive whole numbers is 154. What is the smallest of them?
  10. 10.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  11. 11.Solve: 5(p − 5) = p + 35. What is p?
  12. 12.What amount will ₹32000 grow to in 3 years at 5% per year compound interest (in ₹)?
  13. 13.What is ∛1728? =
  14. 14.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  15. 15.The length of a rectangle is 12 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  16. 16.The sum of four consecutive whole numbers is 178. What is the smallest of them?
  17. 17.Use (a − b)² = a² − 2ab + b² to find 11².
  18. 18.How many whole numbers lie between 45² and 46²?
  19. 19.Which of these is a perfect square? (a) 165 (b) 144 (c) 146
  20. 20.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  21. 21.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  22. 22.What is the difference between the compound interest and the simple interest on ₹2000 at 5% per year for 2 years (in ₹)?
  23. 23.The length of a rectangle is 9 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  24. 24.What is 93²? =
  25. 25.Use (a + b)² = a² + 2ab + b² to find 101².
  26. 26.Solve: 9p + 1 = 3p + 73. What is p?
  27. 27.Which of these is a perfect square? (a) 1024 (b) 1032 (c) 1069
  28. 28.Solve: 5(y − 5) = 2y + 35. What is y?
  29. 29.What is the value of 2¹ × 2⁻²? =
  30. 30.If a − b = 3 and ab = 10, what is a² + b²?
  31. 31.The length of a rectangle is 15 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  32. 32.Write 8.9 × 10⁻³ as a decimal. =
  33. 33.If a − b = 1 and ab = 2, what is a² + b²?
  34. 34.A cuboid is 7 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  35. 35.A cuboid is 15 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
  36. 36.The sum of two consecutive whole numbers is 39. What is the largest of them?
  37. 37.A trapezium has parallel sides of 18 cm and 30 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  38. 38.What is 27²? =
  39. 39.What is 2³? =
  40. 40.A square garden has an area of 225 square m. How long is each side (in m)?

Answer key

  1. 17
  2. 5400000
  3. 14
  4. 17
  5. 11
  6. 8
  7. 11109
  8. 3136
  9. 37
  10. 49
  11. 15
  12. 37044
  13. 12
  14. 2400
  15. 17
  16. 43
  17. 121
  18. 90
  19. 144
  20. 19
  21. 18
  22. 5
  23. 27
  24. 8649
  25. 10201
  26. 12
  27. 1024
  28. 20
  29. 1/2
  30. 29
  31. 13
  32. 0.0089
  33. 5
  34. 190
  35. 516
  36. 20
  37. 72
  38. 729
  39. 8
  40. 15

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