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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 318 · 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 8000 cubic cm. How long is each edge (in cm)?
  2. 2.Find the compound interest on ₹59600 at 5% per year for 1 year, compounded every year (in ₹).
  3. 3.How many whole numbers lie between 44² and 45²?
  4. 4.Solve: 6(t − 3) = 4t + 16. What is t?
  5. 5.2.4 × 10⁵ =
  6. 6.What is the value of 4³? =
  7. 7.What is √8464? =
  8. 8.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  9. 9.Solve: 4(p − 3) = 3p + 10. What is p?
  10. 10.Write 2¹⁸ ÷ 2⁹ as a single power 2ⁿ. What is n?
  11. 11.Which of these is a perfect square? (a) 319 (b) 302 (c) 289
  12. 12.6.6 × 10⁴ =
  13. 13.Use a² − b² = (a + b)(a − b) to find 28² − 12².
  14. 14.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  15. 15.The diagonals of a rhombus are 16 cm and 22 cm. What is its area (in square cm)?
  16. 16.What amount will ₹25000 grow to in 1 year at 5% per year compound interest (in ₹)?
  17. 17.Solve: n/4 + n/5 = 72. What is n?
  18. 18.What is 87²? =
  19. 19.What is the smallest whole number by which 490 must be multiplied to get a perfect square?
  20. 20.Write 3¹⁵ ÷ 3⁹ as a single power 3ⁿ. What is n?
  21. 21.What is the value of 3⁵ × 3⁻¹? =
  22. 22.The length of a rectangle is 10 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  23. 23.Write (7³)² as a single power 7ⁿ. What is n?
  24. 24.Use (a + b)(a − b) = a² − b² to find 21 × 19.
  25. 25.A trapezium has an area of 25 square cm. Its parallel sides are 22 cm and 3 cm. What is the distance between them (in cm)?
  26. 26.What is 72²? =
  27. 27.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  28. 28.A scooter is worth ₹2500. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
  29. 29.Use (a + b)² = a² + 2ab + b² to find 18².
  30. 30.7.9 × 10² =
  31. 31.What is 3³? =
  32. 32.Use a² − b² = (a + b)(a − b) to find 92² − 45².
  33. 33.What is ∛8? =
  34. 34.Use (a − b)² = a² − 2ab + b² to find 91².
  35. 35.Solve: x/6 + x/4 = 5. What is x?
  36. 36.7 × 10² =
  37. 37.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  38. 38.The sum of four consecutive whole numbers is 66. What is the largest of them?
  39. 39.A scooter is worth ₹5400. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
  40. 40.The sum of four consecutive whole numbers is 226. What is the smallest of them?

Answer key

  1. 20
  2. 2980
  3. 88
  4. 17
  5. 240000
  6. 64
  7. 92
  8. 216
  9. 22
  10. 9
  11. 289
  12. 66000
  13. 640
  14. 4
  15. 176
  16. 26250
  17. 160
  18. 7569
  19. 10
  20. 6
  21. 81
  22. 8
  23. 6
  24. 399
  25. 2
  26. 5184
  27. 726
  28. 2116
  29. 324
  30. 790
  31. 27
  32. 6439
  33. 2
  34. 8281
  35. 12
  36. 700
  37. 7
  38. 18
  39. 5184
  40. 55

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