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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 119 · 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.Use (a − b)² = a² − 2ab + b² to find 19².
  2. 2.What amount will ₹9500 grow to in 1 year at 25% per year compound interest (in ₹)?
  3. 3.Use (a + b)² = a² + 2ab + b² to find 18².
  4. 4.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.What is the difference between the compound interest and the simple interest on ₹51200 at 5% per year for 2 years (in ₹)?
  6. 6.Find the compound interest on ₹48000 at 15% per year for 3 years, compounded every year (in ₹).
  7. 7.What is ∛729? =
  8. 8.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  9. 9.What is √1444? =
  10. 10.What is 13³? =
  11. 11.What is the difference between the compound interest and the simple interest on ₹10000 at 4% per year for 2 years (in ₹)?
  12. 12.What is the difference between the compound interest and the simple interest on ₹32500 at 4% per year for 2 years (in ₹)?
  13. 13.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
  14. 14.Which of these is a perfect cube? (a) 2889 (b) 2744 (c) 3218
  15. 15.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  16. 16.What is 15³? =
  17. 17.Solve: 3(m − 3) = 2m + 13. What is m?
  18. 18.What is 47²? =
  19. 19.How many whole numbers lie between 29² and 30²?
  20. 20.Solve: 6(t − 2) = 5t + 9. What is t?
  21. 21.What is ∛13824? =
  22. 22.Solve: 5(p − 4) = p + 24. What is p?
  23. 23.Find the value of x² + 2xy + y² when x = 5 and y = 3.
  24. 24.Use a² − b² = (a + b)(a − b) to find 40² − 18².
  25. 25.What amount will ₹23600 grow to in 1 year at 8% per year compound interest (in ₹)?
  26. 26.Use (a − b)² = a² − 2ab + b² to find 92².
  27. 27.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  28. 28.1.2 × 10⁷ =
  29. 29.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  30. 30.Solve: 3(x − 5) = 2x + 7. What is x?
  31. 31.What is ∛343? =
  32. 32.What is the value of 5⁻¹ (as a fraction)? =
  33. 33.A cuboid is 15 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
  34. 34.A square garden has an area of 256 square m. How long is each side (in m)?
  35. 35.What is the value of 3¹ × 3⁻³? =
  36. 36.Which of these is a perfect square? (a) 965 (b) 961 (c) 963
  37. 37.Solve: 4(x − 3) = x + 3. What is x?
  38. 38.What is the smallest whole number by which 180 must be multiplied to get a perfect square?
  39. 39.Which of these is a perfect square? (a) 543 (b) 529 (c) 532
  40. 40.A square garden has an area of 1369 square m. How long is each side (in m)?

Answer key

  1. 361
  2. 11875
  3. 324
  4. 8
  5. 128
  6. 25002
  7. 9
  8. 27
  9. 38
  10. 2197
  11. 16
  12. 52
  13. 289
  14. 2744
  15. 64
  16. 3375
  17. 22
  18. 2209
  19. 58
  20. 21
  21. 24
  22. 11
  23. 64
  24. 1276
  25. 25488
  26. 8464
  27. 20
  28. 12000000
  29. 3174
  30. 22
  31. 7
  32. 1/5
  33. 522
  34. 16
  35. 1/9
  36. 961
  37. 5
  38. 5
  39. 529
  40. 37

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