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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 134 · 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 the difference between the compound interest and the simple interest on ₹15400 at 20% per year for 2 years (in ₹)?
  2. 2.The length of a rectangle is 9 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  3. 3.A town has 33900 people. The population grows by 15% every year. What will the population be after 1 year?
  4. 4.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
  5. 5.Use (a + b)² = a² + 2ab + b² to find 23².
  6. 6.What is the value of 5⁷? =
  7. 7.What is the value of 5¹ × 5⁻⁶? =
  8. 8.How many whole numbers lie between 42² and 43²?
  9. 9.Find the compound interest on ₹27500 at 4% per year for 2 years, compounded every year (in ₹).
  10. 10.A square garden has an area of 2304 square m. How long is each side (in m)?
  11. 11.A town has 57600 people. The population grows by 15% every year. What will the population be after 1 year?
  12. 12.What is the difference between the compound interest and the simple interest on ₹57500 at 12% per year for 2 years (in ₹)?
  13. 13.The diagonals of a rhombus are 18 cm and 4 cm. What is its area (in square cm)?
  14. 14.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  15. 15.Use (a + b)² = a² + 2ab + b² to find 48².
  16. 16.Solve: 3m + 15 = m + 25. What is m?
  17. 17.What is the value of 7⁻² (as a fraction)? =
  18. 18.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  19. 19.What is the value of 2²? =
  20. 20.A cuboid is 5 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?
  21. 21.The diagonals of a rhombus are 10 cm and 27 cm. What is its area (in square cm)?
  22. 22.A trapezium has parallel sides of 29 cm and 9 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  23. 23.Write (4⁶)² as a single power 4ⁿ. What is n?
  24. 24.Solve: 4(n − 3) = 3n + 11. What is n?
  25. 25.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  26. 26.Solve: 9p + 11 = p + 107. What is p?
  27. 27.Solve: 5y + 19 = 3y + 47. What is y?
  28. 28.Find the compound interest on ₹41600 at 5% per year for 2 years, compounded every year (in ₹).
  29. 29.Use (a − b)² = a² − 2ab + b² to find 28².
  30. 30.What is the value of 2¹⁵? =
  31. 31.What is the value of 2⁸? =
  32. 32.What is the difference between the compound interest and the simple interest on ₹16900 at 10% per year for 2 years (in ₹)?
  33. 33.Solve: 3(t − 2) = 2t + 11. What is t?
  34. 34.Write (5⁴)⁸ as a single power 5ⁿ. What is n?
  35. 35.Solve: 5(x − 4) = 4x + 12. What is x?
  36. 36.A room is 7 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  37. 37.Write (3⁶)³ as a single power 3ⁿ. What is n?
  38. 38.Find the compound interest on ₹2500 at 20% per year for 3 years, compounded every year (in ₹).
  39. 39.What is the difference between the compound interest and the simple interest on ₹30000 at 12% per year for 2 years (in ₹)?
  40. 40.Use (a + b)² = a² + 2ab + b² to find 34².

Answer key

  1. 616
  2. 17
  3. 38985
  4. 36
  5. 529
  6. 78125
  7. 1/3125
  8. 84
  9. 2244
  10. 48
  11. 66240
  12. 828
  13. 36
  14. 64
  15. 2304
  16. 5
  17. 1/49
  18. 2646
  19. 4
  20. 170
  21. 135
  22. 190
  23. 12
  24. 23
  25. 5
  26. 12
  27. 14
  28. 4264
  29. 784
  30. 32768
  31. 256
  32. 169
  33. 17
  34. 32
  35. 32
  36. 104
  37. 18
  38. 1820
  39. 432
  40. 1156

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