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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 990 · 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.Solve: 8x + 9 = 5x + 48. What is x?
  2. 2.What is √7225? =
  3. 3.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  4. 4.Use (a − b)² = a² − 2ab + b² to find 32².
  5. 5.A room is 3 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  6. 6.What is 17³? =
  7. 7.Use (a + b)(a − b) = a² − b² to find 36 × 24.
  8. 8.Find the compound interest on ₹15700 at 5% per year for 1 year, compounded every year (in ₹).
  9. 9.What is √529? =
  10. 10.What is ∛1728? =
  11. 11.What is the difference between the compound interest and the simple interest on ₹8400 at 10% per year for 2 years (in ₹)?
  12. 12.The diagonals of a rhombus are 6 cm and 25 cm. What is its area (in square cm)?
  13. 13.What is the smallest whole number by which 448 must be multiplied to get a perfect square?
  14. 14.Solve: 5p + 1 = p + 45. What is p?
  15. 15.A town has 32800 people. The population grows by 8% every year. What will the population be after 1 year?
  16. 16.The diagonals of a rhombus are 6 cm and 12 cm. What is its area (in square cm)?
  17. 17.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
  18. 18.Solve: 6n + 12 = 5n + 15. What is n?
  19. 19.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  20. 20.What is the smallest whole number by which 8 must be divided to get a perfect square?
  21. 21.Find the compound interest on ₹8000 at 5% per year for 3 years, compounded every year (in ₹).
  22. 22.What is the value of 2¹¹? =
  23. 23.What is the value of 7²? =
  24. 24.A cuboid is 5 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
  25. 25.A father is 26 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  26. 26.Which of these is a perfect cube? (a) 957 (b) 777 (c) 729
  27. 27.If a − b = 2 and ab = 24, what is a² + b²?
  28. 28.What is the difference between the compound interest and the simple interest on ₹42500 at 12% per year for 2 years (in ₹)?
  29. 29.A trapezium has parallel sides of 6 cm and 20 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  30. 30.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
  31. 31.What is √5184? =
  32. 32.A square garden has an area of 361 square m. How long is each side (in m)?
  33. 33.A cuboid is 10 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
  34. 34.A cuboid is 12 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
  35. 35.What is the smallest whole number by which 24 must be multiplied to get a perfect square?
  36. 36.What is the value of 3³? =
  37. 37.The diagonals of a rhombus are 16 cm and 6 cm. What is its area (in square cm)?
  38. 38.A father is 16 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  39. 39.Find the compound interest on ₹26300 at 4% per year for 1 year, compounded every year (in ₹).
  40. 40.Use (a + b)² = a² + 2ab + b² to find 38².

Answer key

  1. 13
  2. 85
  3. 150
  4. 1024
  5. 54
  6. 4913
  7. 864
  8. 785
  9. 23
  10. 12
  11. 84
  12. 75
  13. 7
  14. 11
  15. 35424
  16. 36
  17. 729
  18. 3
  19. 54
  20. 2
  21. 1261
  22. 2048
  23. 49
  24. 286
  25. 11
  26. 729
  27. 52
  28. 612
  29. 182
  30. 49
  31. 72
  32. 19
  33. 408
  34. 416
  35. 6
  36. 27
  37. 48
  38. 9
  39. 1052
  40. 1444

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