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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 384 · 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 ₹27500 grow to in 2 years at 12% per year compound interest (in ₹)?
  2. 2.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  3. 3.What is the difference between the compound interest and the simple interest on ₹2500 at 4% per year for 2 years (in ₹)?
  4. 4.A trapezium has an area of 288 square cm. Its parallel sides are 21 cm and 11 cm. What is the distance between them (in cm)?
  5. 5.Find the compound interest on ₹55000 at 8% per year for 2 years, compounded every year (in ₹).
  6. 6.Which of these is a perfect cube? (a) 3644 (b) 3508 (c) 3375
  7. 7.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
  8. 8.Use (a + b)(a − b) = a² − b² to find 85 × 75.
  9. 9.A town has 47800 people. The population grows by 4% every year. What will the population be after 1 year?
  10. 10.Use (a + b)² = a² + 2ab + b² to find 25².
  11. 11.What is the value of 6²? =
  12. 12.A town has 50900 people. The population grows by 5% every year. What will the population be after 1 year?
  13. 13.A room is 5 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  14. 14.Solve: 6(n − 3) = 5n + 7. What is n?
  15. 15.Write 4.7 × 10⁻³ as a decimal. =
  16. 16.What is the difference between the compound interest and the simple interest on ₹47600 at 5% per year for 2 years (in ₹)?
  17. 17.A town has 47500 people. The population grows by 12% every year. What will the population be after 2 years?
  18. 18.Solve: 8t + 20 = 2t + 110. What is t?
  19. 19.What is the difference between the compound interest and the simple interest on ₹35000 at 12% per year for 2 years (in ₹)?
  20. 20.What is 9³? =
  21. 21.Write (3⁶)² as a single power 3ⁿ. What is n?
  22. 22.The sum of two consecutive whole numbers is 59. What is the largest of them?
  23. 23.A father is 11 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  24. 24.What is ∛343? =
  25. 25.Solve: t/5 + t/6 = 22. What is t?
  26. 26.What amount will ₹54000 grow to in 2 years at 5% per year compound interest (in ₹)?
  27. 27.What is the difference between the compound interest and the simple interest on ₹43500 at 10% per year for 2 years (in ₹)?
  28. 28.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  29. 29.Solve: 3x + 12 = x + 32. What is x?
  30. 30.What is 59²? =
  31. 31.A father is 12 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  32. 32.8.6 × 10⁷ =
  33. 33.Solve: n/5 + n/4 = 72. What is n?
  34. 34.Which of these is a perfect square? (a) 143 (b) 121 (c) 124
  35. 35.How many whole numbers lie between 22² and 23²?
  36. 36.A father is 11 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  37. 37.Use (a + b)(a − b) = a² − b² to find 25 × 15.
  38. 38.Which of these is a perfect cube? (a) 749 (b) 729 (c) 838
  39. 39.What is 11³? =
  40. 40.What is the smallest whole number by which 625 must be divided to get a perfect cube?

Answer key

  1. 34496
  2. 27
  3. 4
  4. 18
  5. 9152
  6. 3375
  7. 25
  8. 6375
  9. 49712
  10. 625
  11. 36
  12. 53445
  13. 104
  14. 25
  15. 0.0047
  16. 119
  17. 59584
  18. 15
  19. 504
  20. 729
  21. 12
  22. 30
  23. 5
  24. 7
  25. 60
  26. 59535
  27. 435
  28. 1176
  29. 10
  30. 3481
  31. 11
  32. 86000000
  33. 160
  34. 121
  35. 44
  36. 8
  37. 375
  38. 729
  39. 1331
  40. 5

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