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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 552 · 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 trapezium has parallel sides of 15 cm and 8 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  2. 2.What is 4³? =
  3. 3.A trapezium has an area of 38 square cm. Its parallel sides are 12 cm and 7 cm. What is the distance between them (in cm)?
  4. 4.Find the value of x² + 2xy + y² when x = 10 and y = 7.
  5. 5.Solve: y/3 + y/2 = 40. What is y?
  6. 6.A trapezium has parallel sides of 30 cm and 2 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  7. 7.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
  8. 8.A trapezium has an area of 34 square cm. Its parallel sides are 7 cm and 10 cm. What is the distance between them (in cm)?
  9. 9.What is ∛8? =
  10. 10.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.What is ∛9261? =
  12. 12.A trapezium has an area of 209 square cm. Its parallel sides are 24 cm and 14 cm. What is the distance between them (in cm)?
  13. 13.Solve: t/2 + t/4 = 3. What is t?
  14. 14.What is the value of 5³? =
  15. 15.Which of these is a perfect square? (a) 486 (b) 513 (c) 484
  16. 16.A trapezium has an area of 117 square cm. Its parallel sides are 10 cm and 29 cm. What is the distance between them (in cm)?
  17. 17.Which of these is a perfect cube? (a) 78 (b) 72 (c) 64
  18. 18.A scooter is worth ₹14100. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
  19. 19.Solve: 3(n − 2) = n + 6. What is n?
  20. 20.Use (a − b)² = a² − 2ab + b² to find 99².
  21. 21.Use (a + b)² = a² + 2ab + b² to find 34².
  22. 22.What is 11³? =
  23. 23.How many whole numbers lie between 44² and 45²?
  24. 24.Find the compound interest on ₹11600 at 20% per year for 1 year, compounded every year (in ₹).
  25. 25.Write 3⁷ × 3⁶ as a single power 3ⁿ. What is n?
  26. 26.What is the difference between the compound interest and the simple interest on ₹2600 at 20% per year for 2 years (in ₹)?
  27. 27.Write 6.3 × 10⁻⁴ as a decimal. =
  28. 28.What is the value of 2¹⁶? =
  29. 29.Find the compound interest on ₹43100 at 10% per year for 2 years, compounded every year (in ₹).
  30. 30.Use (a + b)² = a² + 2ab + b² to find 106².
  31. 31.Which of these is a perfect square? (a) 1299 (b) 1326 (c) 1296
  32. 32.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  33. 33.A trapezium has an area of 408 square cm. Its parallel sides are 29 cm and 19 cm. What is the distance between them (in cm)?
  34. 34.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  35. 35.A trapezium has parallel sides of 27 cm and 20 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  36. 36.What is the value of (2/9)⁻¹? =
  37. 37.What is √324? =
  38. 38.Which of these is a perfect square? (a) 1611 (b) 1672 (c) 1600
  39. 39.Use (a + b)² = a² + 2ab + b² to find 18².
  40. 40.Find the compound interest on ₹39100 at 10% per year for 1 year, compounded every year (in ₹).

Answer key

  1. 92
  2. 64
  3. 4
  4. 289
  5. 48
  6. 304
  7. 625
  8. 4
  9. 2
  10. 27
  11. 21
  12. 11
  13. 4
  14. 125
  15. 484
  16. 6
  17. 64
  18. 13395
  19. 6
  20. 9801
  21. 1156
  22. 1331
  23. 88
  24. 2320
  25. 13
  26. 104
  27. 0.00063
  28. 65536
  29. 9051
  30. 11236
  31. 1296
  32. 2400
  33. 17
  34. 726
  35. 376
  36. 9/2
  37. 18
  38. 1600
  39. 324
  40. 3910

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