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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 587 · 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 smallest whole number by which 486 must be divided to get a perfect square?
  2. 2.Write 2² × 2⁹ as a single power 2ⁿ. What is n?
  3. 3.Write (7⁴)² as a single power 7ⁿ. What is n?
  4. 4.How many whole numbers lie between 7² and 8²?
  5. 5.A cuboid is 5 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
  6. 6.A cuboid is 4 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  7. 7.What is the difference between the compound interest and the simple interest on ₹25200 at 5% per year for 2 years (in ₹)?
  8. 8.What is ∛4913? =
  9. 9.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  10. 10.How many whole numbers lie between 5² and 6²?
  11. 11.Use (a + b)(a − b) = a² − b² to find 35 × 25.
  12. 12.Write 4⁵ × 4² as a single power 4ⁿ. What is n?
  13. 13.The length of a rectangle is 9 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  14. 14.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  15. 15.Solve: 3(p − 4) = p + 26. What is p?
  16. 16.What is √324? =
  17. 17.What amount will ₹5600 grow to in 2 years at 5% per year compound interest (in ₹)?
  18. 18.A trapezium has an area of 66 square cm. Its parallel sides are 4 cm and 29 cm. What is the distance between them (in cm)?
  19. 19.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  20. 20.The length of a rectangle is 15 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  21. 21.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.Write 5,900 in standard form as 5.9 × 10ⁿ. What is n?
  23. 23.A trapezium has parallel sides of 4 cm and 12 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  24. 24.Write 1.4 × 10⁻³ as a decimal. =
  25. 25.Solve: n/2 + n/3 = 40. What is n?
  26. 26.What amount will ₹56600 grow to in 1 year at 10% per year compound interest (in ₹)?
  27. 27.If a + b = 12 and ab = 20, what is a² + b²?
  28. 28.What is the smallest whole number by which 343 must be multiplied to get a perfect square?
  29. 29.A square garden has an area of 289 square m. How long is each side (in m)?
  30. 30.What is 10³? =
  31. 31.What is the value of 3⁹? =
  32. 32.The length of a rectangle is 15 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
  33. 33.What is the value of (3/4)⁻¹? =
  34. 34.If a − b = 4 and ab = 21, what is a² + b²?
  35. 35.What amount will ₹31600 grow to in 2 years at 5% per year compound interest (in ₹)?
  36. 36.The length of a rectangle is 3 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  37. 37.What is ∛1000? =
  38. 38.If a − b = 4 and ab = 32, what is a² + b²?
  39. 39.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  40. 40.What is the value of 2³? =

Answer key

  1. 6
  2. 11
  3. 8
  4. 14
  5. 460
  6. 40
  7. 63
  8. 17
  9. 6
  10. 10
  11. 875
  12. 7
  13. 24
  14. 125
  15. 19
  16. 18
  17. 6174
  18. 4
  19. 5
  20. 5
  21. 8
  22. 3
  23. 120
  24. 0.0014
  25. 48
  26. 62260
  27. 104
  28. 7
  29. 17
  30. 1000
  31. 19683
  32. 28
  33. 4/3
  34. 58
  35. 34839
  36. 29
  37. 10
  38. 80
  39. 3174
  40. 8

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