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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 228 · 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.A town has 35300 people. The population grows by 5% every year. What will the population be after 1 year?
  2. 2.Solve: 7n + 10 = 5n + 14. What is n?
  3. 3.What is the difference between the compound interest and the simple interest on ₹48000 at 25% per year for 2 years (in ₹)?
  4. 4.Which of these is a perfect square? (a) 324 (b) 330 (c) 338
  5. 5.The length of a rectangle is 15 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  6. 6.Write 2.3 × 10⁻¹ as a decimal. =
  7. 7.Which of these is a perfect cube? (a) 2476 (b) 2322 (c) 2197
  8. 8.A town has 12500 people. The population grows by 8% every year. What will the population be after 2 years?
  9. 9.What is 5³? =
  10. 10.A town has 40000 people. The population grows by 10% every year. What will the population be after 3 years?
  11. 11.Solve: m/5 + m/3 = 40. What is m?
  12. 12.Find the value of x² − y² when x = 8 and y = 5.
  13. 13.What is 11³? =
  14. 14.Solve: x/4 + x/5 = 45. What is x?
  15. 15.Which of these is a perfect square? (a) 1024 (b) 1035 (c) 1025
  16. 16.What is 51²? =
  17. 17.Solve: 5(y − 2) = 2y + 11. What is y?
  18. 18.Write (4⁷)⁷ as a single power 4ⁿ. What is n?
  19. 19.Find the value of x² − y² when x = 5 and y = 1.
  20. 20.Use (a + b)² = a² + 2ab + b² to find 54².
  21. 21.Find the compound interest on ₹13800 at 15% per year for 1 year, compounded every year (in ₹).
  22. 22.A trapezium has parallel sides of 10 cm and 4 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  23. 23.Write (3⁸)² as a single power 3ⁿ. What is n?
  24. 24.What is the value of 2¹²? =
  25. 25.Solve: 3m + 18 = 2m + 24. What is m?
  26. 26.Use (a − b)² = a² − 2ab + b² to find 89².
  27. 27.How many whole numbers lie between 7² and 8²?
  28. 28.A father is 60 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  29. 29.How many whole numbers lie between 44² and 45²?
  30. 30.A room is 12 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  31. 31.What is 8³? =
  32. 32.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  33. 33.What is √3364? =
  34. 34.What is 88²? =
  35. 35.Solve: t/4 + t/3 = 56. What is t?
  36. 36.A square garden has an area of 625 square m. How long is each side (in m)?
  37. 37.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  38. 38.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  39. 39.A trapezium has parallel sides of 14 cm and 2 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  40. 40.Find the value of x² − 2xy + y² when x = 3 and y = 1.

Answer key

  1. 37065
  2. 2
  3. 3000
  4. 324
  5. 5
  6. 0.23
  7. 2197
  8. 14580
  9. 125
  10. 53240
  11. 75
  12. 39
  13. 1331
  14. 100
  15. 1024
  16. 2601
  17. 7
  18. 49
  19. 24
  20. 2916
  21. 2070
  22. 91
  23. 16
  24. 4096
  25. 6
  26. 7921
  27. 14
  28. 12
  29. 88
  30. 126
  31. 512
  32. 8
  33. 58
  34. 7744
  35. 96
  36. 25
  37. 25
  38. 54
  39. 144
  40. 4

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