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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 403 · 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 69²? =
  2. 2.Write 8.6 × 10⁻⁴ as a decimal. =
  3. 3.Which of these is a perfect square? (a) 555 (b) 529 (c) 570
  4. 4.Solve: p/6 + p/5 = 77. What is p?
  5. 5.Find the compound interest on ₹58400 at 15% per year for 2 years, compounded every year (in ₹).
  6. 6.Find the compound interest on ₹44500 at 12% per year for 1 year, compounded every year (in ₹).
  7. 7.Solve: 4(x − 3) = 2x + 12. What is x?
  8. 8.Solve: t/5 + t/3 = 8. What is t?
  9. 9.What is √841? =
  10. 10.What is ∛12167? =
  11. 11.What is the smallest whole number by which 32 must be divided to get a perfect square?
  12. 12.A trapezium has an area of 99 square cm. Its parallel sides are 5 cm and 6 cm. What is the distance between them (in cm)?
  13. 13.Solve: 8x + 5 = 6x + 15. What is x?
  14. 14.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  15. 15.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  16. 16.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  17. 17.What is the value of 6³? =
  18. 18.What is the value of 5³? =
  19. 19.Which of these is a perfect cube? (a) 323 (b) 216 (c) 227
  20. 20.Write 92,00,000 in standard form as 9.2 × 10ⁿ. What is n?
  21. 21.Use (a − b)² = a² − 2ab + b² to find 36².
  22. 22.A square garden has an area of 2916 square m. How long is each side (in m)?
  23. 23.Use (a − b)² = a² − 2ab + b² to find 77².
  24. 24.The length of a rectangle is 14 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
  25. 25.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.What is 94²? =
  27. 27.Which of these is a perfect square? (a) 305 (b) 289 (c) 315
  28. 28.What is the value of 2² × 2⁻²? =
  29. 29.How many whole numbers lie between 47² and 48²?
  30. 30.What is the value of 2⁶ × 2⁻⁴? =
  31. 31.A cuboid is 14 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
  32. 32.The length of a rectangle is 5 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  33. 33.What is the value of 10⁶ × 10⁻¹? =
  34. 34.Find the value of x² − y² when x = 7 and y = 3.
  35. 35.A room is 4 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  36. 36.Find the value of x² + 2xy + y² when x = 13 and y = 9.
  37. 37.How many whole numbers lie between 26² and 27²?
  38. 38.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  39. 39.Find the compound interest on ₹44100 at 5% per year for 1 year, compounded every year (in ₹).
  40. 40.The sum of four consecutive whole numbers is 182. What is the largest of them?

Answer key

  1. 4761
  2. 0.00086
  3. 529
  4. 210
  5. 18834
  6. 5340
  7. 12
  8. 15
  9. 29
  10. 23
  11. 2
  12. 18
  13. 5
  14. 1014
  15. 17
  16. 96
  17. 216
  18. 125
  19. 216
  20. 6
  21. 1296
  22. 54
  23. 5929
  24. 28
  25. 27
  26. 8836
  27. 289
  28. 1
  29. 94
  30. 4
  31. 472
  32. 27
  33. 100000
  34. 40
  35. 64
  36. 484
  37. 52
  38. 11
  39. 2205
  40. 47

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