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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 211 · 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 √1849? =
  2. 2.What is 13³? =
  3. 3.How many whole numbers lie between 5² and 6²?
  4. 4.Write 7⁸ × 7² as a single power 7ⁿ. What is n?
  5. 5.What is √529? =
  6. 6.What amount will ₹17800 grow to in 1 year at 5% per year compound interest (in ₹)?
  7. 7.A town has 37000 people. The population grows by 15% every year. What will the population be after 1 year?
  8. 8.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
  9. 9.What is √1089? =
  10. 10.What amount will ₹3500 grow to in 1 year at 15% per year compound interest (in ₹)?
  11. 11.Solve: 5(y − 4) = 4y + 4. What is y?
  12. 12.What is ∛9261? =
  13. 13.Find the value of x² − 2xy + y² when x = 14 and y = 6.
  14. 14.Write 2⁴ × 2⁴ as a single power 2ⁿ. What is n?
  15. 15.Find the compound interest on ₹34000 at 25% per year for 2 years, compounded every year (in ₹).
  16. 16.Solve: 5(n − 5) = 2n + 38. What is n?
  17. 17.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  18. 18.Which of these is a perfect square? (a) 400 (b) 412 (c) 414
  19. 19.What is the value of 9⁴? =
  20. 20.What is ∛15625? =
  21. 21.A trapezium has parallel sides of 29 cm and 27 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  22. 22.What is 32²? =
  23. 23.What is the smallest whole number by which 63 must be multiplied to get a perfect square?
  24. 24.A square garden has an area of 2116 square m. How long is each side (in m)?
  25. 25.Find the compound interest on ₹39600 at 25% per year for 2 years, compounded every year (in ₹).
  26. 26.Use (a − b)² = a² − 2ab + b² to find 79².
  27. 27.Which of these is a perfect square? (a) 461 (b) 473 (c) 441
  28. 28.What is 36²? =
  29. 29.What is √144? =
  30. 30.What is the value of 3³? =
  31. 31.Solve: 5(y − 4) = 4y + 8. What is y?
  32. 32.The length of a rectangle is 7 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  33. 33.Use a² − b² = (a + b)(a − b) to find 84² − 57².
  34. 34.The diagonals of a rhombus are 28 cm and 27 cm. What is its area (in square cm)?
  35. 35.Solve: 9p + 2 = 7p + 26. What is p?
  36. 36.A trapezium has parallel sides of 5 cm and 15 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  37. 37.What is √4489? =
  38. 38.Find the compound interest on ₹10700 at 4% per year for 1 year, compounded every year (in ₹).
  39. 39.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  40. 40.Use (a − b)² = a² − 2ab + b² to find 28².

Answer key

  1. 43
  2. 2197
  3. 10
  4. 10
  5. 23
  6. 18690
  7. 42550
  8. 484
  9. 33
  10. 4025
  11. 24
  12. 21
  13. 64
  14. 8
  15. 19125
  16. 21
  17. 27
  18. 400
  19. 6561
  20. 25
  21. 336
  22. 1024
  23. 7
  24. 46
  25. 22275
  26. 6241
  27. 441
  28. 1296
  29. 12
  30. 27
  31. 28
  32. 6
  33. 3807
  34. 378
  35. 12
  36. 130
  37. 67
  38. 428
  39. 216
  40. 784

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