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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 343 · 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.Which of these is a perfect square? (a) 774 (b) 729 (c) 740
  2. 2.A room is 12 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  3. 3.What is ∛1000? =
  4. 4.What is the difference between the compound interest and the simple interest on ₹46400 at 15% per year for 2 years (in ₹)?
  5. 5.Write (3³)⁶ as a single power 3ⁿ. What is n?
  6. 6.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  7. 7.Write 2.2 × 10⁻¹ as a decimal. =
  8. 8.The length of a rectangle is 5 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  9. 9.The sum of two consecutive whole numbers is 27. What is the largest of them?
  10. 10.What is ∛8000? =
  11. 11.Solve: 4m + 4 = m + 25. What is m?
  12. 12.A trapezium has parallel sides of 20 cm and 27 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  13. 13.The sum of four consecutive whole numbers is 106. What is the largest of them?
  14. 14.If a + b = 19 and ab = 90, what is a² + b²?
  15. 15.Write 7,600 in standard form as 7.6 × 10ⁿ. What is n?
  16. 16.Solve: 4x + 1 = 2x + 3. What is x?
  17. 17.What is 18²? =
  18. 18.Write 7¹⁰ ÷ 7⁸ as a single power 7ⁿ. What is n?
  19. 19.Use (a − b)² = a² − 2ab + b² to find 69².
  20. 20.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  21. 21.How many whole numbers lie between 16² and 17²?
  22. 22.What is 20³? =
  23. 23.Use (a + b)(a − b) = a² − b² to find 102 × 98.
  24. 24.What is the value of 2²? =
  25. 25.Write (8³)³ as a single power 8ⁿ. What is n?
  26. 26.Solve: 8n + 16 = n + 107. What is n?
  27. 27.Find the compound interest on ₹13900 at 10% per year for 1 year, compounded every year (in ₹).
  28. 28.The length of a rectangle is 11 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
  29. 29.What is the value of (8/9)⁻²? =
  30. 30.What is 20²? =
  31. 31.What is the value of 3⁵ × 3⁻²? =
  32. 32.A trapezium has an area of 342 square cm. Its parallel sides are 20 cm and 18 cm. What is the distance between them (in cm)?
  33. 33.How many whole numbers lie between 11² and 12²?
  34. 34.A cuboid is 5 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
  35. 35.What is the smallest whole number by which 150 must be divided to get a perfect square?
  36. 36.A trapezium has an area of 288 square cm. Its parallel sides are 21 cm and 15 cm. What is the distance between them (in cm)?
  37. 37.What is the value of 6⁻² (as a fraction)? =
  38. 38.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  40. 40.Write (5⁸)³ as a single power 5ⁿ. What is n?

Answer key

  1. 729
  2. 200
  3. 10
  4. 1044
  5. 18
  6. 24
  7. 0.22
  8. 6
  9. 14
  10. 20
  11. 7
  12. 235
  13. 28
  14. 181
  15. 3
  16. 1
  17. 324
  18. 2
  19. 4761
  20. 4
  21. 32
  22. 8000
  23. 9996
  24. 4
  25. 9
  26. 13
  27. 1390
  28. 29
  29. 81/64
  30. 400
  31. 27
  32. 18
  33. 22
  34. 90
  35. 6
  36. 16
  37. 1/36
  38. 27
  39. 4
  40. 24

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