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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 432 · 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 amount will ₹16000 grow to in 3 years at 10% per year compound interest (in ₹)?
  2. 2.What amount will ₹40000 grow to in 3 years at 5% per year compound interest (in ₹)?
  3. 3.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  4. 4.A father is 5 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  5. 5.Use (a − b)² = a² − 2ab + b² to find 36².
  6. 6.Solve: 3t + 3 = 2t + 18. What is t?
  7. 7.What amount will ₹18300 grow to in 1 year at 20% per year compound interest (in ₹)?
  8. 8.The diagonals of a rhombus are 24 cm and 8 cm. What is its area (in square cm)?
  9. 9.What amount will ₹19000 grow to in 3 years at 10% per year compound interest (in ₹)?
  10. 10.What is the value of 10²? =
  11. 11.Which of these is a perfect square? (a) 511 (b) 484 (c) 497
  12. 12.What is the value of 3⁻⁴ (as a fraction)? =
  13. 13.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  14. 14.What is ∛15625? =
  15. 15.The diagonals of a rhombus are 20 cm and 6 cm. What is its area (in square cm)?
  16. 16.The sum of four consecutive whole numbers is 198. What is the largest of them?
  17. 17.What amount will ₹11400 grow to in 1 year at 25% per year compound interest (in ₹)?
  18. 18.What is √8281? =
  19. 19.Use (a − b)² = a² − 2ab + b² to find 87².
  20. 20.The sum of four consecutive whole numbers is 58. What is the smallest of them?
  21. 21.What is the smallest whole number by which 960 must be multiplied to get a perfect square?
  22. 22.What is 9³? =
  23. 23.What is the value of 6²? =
  24. 24.A scooter is worth ₹12600. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
  25. 25.What is the difference between the compound interest and the simple interest on ₹47200 at 15% per year for 2 years (in ₹)?
  26. 26.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  27. 27.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  28. 28.Use a² − b² = (a + b)(a − b) to find 97² − 49².
  29. 29.Which of these is a perfect square? (a) 361 (b) 396 (c) 372
  30. 30.Find the value of x² + 2xy + y² when x = 13 and y = 10.
  31. 31.What is the value of (1/8)⁻²? =
  32. 32.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  33. 33.What is the difference between the compound interest and the simple interest on ₹27500 at 4% per year for 2 years (in ₹)?
  34. 34.Solve: p/5 + p/3 = 8. What is p?
  35. 35.What is the value of 5⁵ × 5⁻⁶? =
  36. 36.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?
  37. 37.Find the compound interest on ₹54300 at 15% per year for 1 year, compounded every year (in ₹).
  38. 38.A father is 12 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  39. 39.What is ∛9261? =
  40. 40.Use (a + b)² = a² + 2ab + b² to find 96².

Answer key

  1. 21296
  2. 46305
  3. 11
  4. 2
  5. 1296
  6. 15
  7. 21960
  8. 96
  9. 25289
  10. 100
  11. 484
  12. 1/81
  13. 3
  14. 25
  15. 60
  16. 51
  17. 14250
  18. 91
  19. 7569
  20. 13
  21. 15
  22. 729
  23. 36
  24. 10206
  25. 1062
  26. 216
  27. 2400
  28. 7008
  29. 361
  30. 529
  31. 64
  32. 726
  33. 44
  34. 15
  35. 1/5
  36. 196
  37. 8145
  38. 7
  39. 21
  40. 9216

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