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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 387 · 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 room is 7 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  2. 2.A trapezium has an area of 209 square cm. Its parallel sides are 12 cm and 26 cm. What is the distance between them (in cm)?
  3. 3.What is the value of (4/5)⁻¹? =
  4. 4.Find the compound interest on ₹6100 at 8% per year for 1 year, compounded every year (in ₹).
  5. 5.Use (a + b)² = a² + 2ab + b² to find 33².
  6. 6.What is the value of 2⁻⁶ (as a fraction)? =
  7. 7.A trapezium has parallel sides of 13 cm and 10 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  8. 8.What is the value of 2² × 2⁻³? =
  9. 9.What amount will ₹28300 grow to in 1 year at 10% per year compound interest (in ₹)?
  10. 10.A trapezium has parallel sides of 12 cm and 5 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  11. 11.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  12. 12.Write 2⁴ × 2⁹ as a single power 2ⁿ. What is n?
  13. 13.A square garden has an area of 400 square m. How long is each side (in m)?
  14. 14.Which of these is a perfect square? (a) 1009 (b) 961 (c) 1006
  15. 15.What is the value of 10² × 10⁻⁵? =
  16. 16.Use (a + b)² = a² + 2ab + b² to find 15².
  17. 17.A trapezium has parallel sides of 26 cm and 2 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  18. 18.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  19. 19.Write 9 × 10⁻¹ as a decimal. =
  20. 20.The sum of three consecutive whole numbers is 18. What is the smallest of them?
  21. 21.Write (2³)⁴ as a single power 2ⁿ. What is n?
  22. 22.Use a² − b² = (a + b)(a − b) to find 39² − 14².
  23. 23.What is √4489? =
  24. 24.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  25. 25.What is the smallest whole number by which 98 must be divided to get a perfect square?
  26. 26.What is the value of 2¹²? =
  27. 27.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  28. 28.Solve: m/6 + m/3 = 9. What is m?
  29. 29.Find the value of x² − 2xy + y² when x = 7 and y = 5.
  30. 30.A town has 15800 people. The population grows by 12% every year. What will the population be after 1 year?
  31. 31.The sum of four consecutive whole numbers is 98. What is the smallest of them?
  32. 32.The diagonals of a rhombus are 8 cm and 8 cm. What is its area (in square cm)?
  33. 33.What is the value of 2¹³? =
  34. 34.A cuboid is 6 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  35. 35.The length of a rectangle is 15 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  36. 36.What is 17³? =
  37. 37.If a + b = 4 and ab = 3, what is a² + b²?
  38. 38.What is 11²? =
  39. 39.A cuboid is 4 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
  40. 40.What is the smallest whole number by which 245 must be divided to get a perfect square?

Answer key

  1. 88
  2. 11
  3. 5/4
  4. 488
  5. 1089
  6. 1/64
  7. 69
  8. 1/2
  9. 31130
  10. 17
  11. 4
  12. 13
  13. 20
  14. 961
  15. 1/1000
  16. 225
  17. 140
  18. 216
  19. 0.9
  20. 5
  21. 12
  22. 1325
  23. 67
  24. 17
  25. 2
  26. 4096
  27. 18
  28. 18
  29. 4
  30. 17696
  31. 23
  32. 32
  33. 8192
  34. 208
  35. 3
  36. 4913
  37. 10
  38. 121
  39. 66
  40. 5

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