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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 628 · 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 cuboid is 10 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  2. 2.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  3. 3.Write 7.5 × 10⁻¹ as a decimal. =
  4. 4.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.What is the smallest whole number by which 405 must be divided to get a perfect square?
  6. 6.4.1 × 10² =
  7. 7.A square garden has an area of 256 square m. How long is each side (in m)?
  8. 8.What is the value of 3⁻¹ (as a fraction)? =
  9. 9.What is the difference between the compound interest and the simple interest on ₹12400 at 5% per year for 2 years (in ₹)?
  10. 10.Use (a + b)(a − b) = a² − b² to find 73 × 67.
  11. 11.Solve: 6(y − 2) = 3y + 18. What is y?
  12. 12.6.8 × 10² =
  13. 13.A trapezium has parallel sides of 30 cm and 8 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  14. 14.Use (a + b)² = a² + 2ab + b² to find 76².
  15. 15.What amount will ₹28000 grow to in 3 years at 10% per year compound interest (in ₹)?
  16. 16.Which of these is a perfect cube? (a) 2744 (b) 3109 (c) 3035
  17. 17.The diagonals of a rhombus are 18 cm and 29 cm. What is its area (in square cm)?
  18. 18.Find the value of x² + 2xy + y² when x = 8 and y = 4.
  19. 19.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  20. 20.What is the difference between the compound interest and the simple interest on ₹5000 at 12% per year for 2 years (in ₹)?
  21. 21.Which of these is a perfect square? (a) 1289 (b) 1284 (c) 1225
  22. 22.What is 8³? =
  23. 23.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  24. 24.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  25. 25.Which of these is a perfect cube? (a) 155 (b) 125 (c) 131
  26. 26.A town has 14700 people. The population grows by 8% every year. What will the population be after 1 year?
  27. 27.What is √1600? =
  28. 28.A room is 10 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  29. 29.Use (a − b)² = a² − 2ab + b² to find 65².
  30. 30.Use a² − b² = (a + b)(a − b) to find 23² − 1².
  31. 31.What is the value of 5² × 5⁻¹? =
  32. 32.1.8 × 10³ =
  33. 33.Which of these is a perfect square? (a) 536 (b) 529 (c) 568
  34. 34.A trapezium has an area of 228 square cm. Its parallel sides are 14 cm and 10 cm. What is the distance between them (in cm)?
  35. 35.What is the smallest whole number by which 243 must be divided to get a perfect square?
  36. 36.Solve: 4(p − 4) = p + 11. What is p?
  37. 37.Find the compound interest on ₹35000 at 20% per year for 3 years, compounded every year (in ₹).
  38. 38.Write 9.7 × 10⁻⁴ as a decimal. =
  39. 39.What is 13³? =
  40. 40.What is √2401? =

Answer key

  1. 320
  2. 216
  3. 0.75
  4. 64
  5. 5
  6. 410
  7. 16
  8. 1/3
  9. 31
  10. 4891
  11. 10
  12. 680
  13. 190
  14. 5776
  15. 37268
  16. 2744
  17. 261
  18. 144
  19. 10
  20. 72
  21. 1225
  22. 512
  23. 6
  24. 4
  25. 125
  26. 15876
  27. 40
  28. 112
  29. 4225
  30. 528
  31. 5
  32. 1800
  33. 529
  34. 19
  35. 3
  36. 9
  37. 25480
  38. 0.00097
  39. 2197
  40. 49

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