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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 870 · 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 ∛15625? =
  2. 2.Use (a − b)² = a² − 2ab + b² to find 33².
  3. 3.Which of these is a perfect cube? (a) 2101 (b) 1728 (c) 1936
  4. 4.Write (3⁵)⁶ as a single power 3ⁿ. What is n?
  5. 5.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
  6. 6.Which of these is a perfect cube? (a) 44 (b) 27 (c) 28
  7. 7.A room is 7 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  8. 8.Use a² − b² = (a + b)(a − b) to find 22² − 1².
  9. 9.Write 2⁵ × 2⁹ as a single power 2ⁿ. What is n?
  10. 10.Use (a − b)² = a² − 2ab + b² to find 22².
  11. 11.Which of these is a perfect cube? (a) 643 (b) 554 (c) 512
  12. 12.What is ∛64? =
  13. 13.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
  14. 14.What amount will ₹27200 grow to in 2 years at 5% per year compound interest (in ₹)?
  15. 15.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  16. 16.A room is 6 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  17. 17.Find the compound interest on ₹16900 at 20% per year for 1 year, compounded every year (in ₹).
  18. 18.The diagonals of a rhombus are 8 cm and 23 cm. What is its area (in square cm)?
  19. 19.Which of these is a perfect square? (a) 321 (b) 289 (c) 311
  20. 20.A room is 9 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  21. 21.Write 5.3 × 10⁻³ as a decimal. =
  22. 22.Which of these is a perfect square? (a) 1296 (b) 1319 (c) 1348
  23. 23.Write 1.6 × 10⁻⁴ as a decimal. =
  24. 24.What is the difference between the compound interest and the simple interest on ₹25600 at 5% per year for 2 years (in ₹)?
  25. 25.What is the value of 10⁶ × 10⁻⁶? =
  26. 26.What is the difference between the compound interest and the simple interest on ₹10000 at 8% per year for 2 years (in ₹)?
  27. 27.What is the smallest whole number by which 810 must be divided to get a perfect square?
  28. 28.What is the value of 6⁴? =
  29. 29.Write 7.9 × 10⁻¹ as a decimal. =
  30. 30.What is 13²? =
  31. 31.The sum of four consecutive whole numbers is 146. What is the smallest of them?
  32. 32.Find the compound interest on ₹33600 at 25% per year for 3 years, compounded every year (in ₹).
  33. 33.Solve: 6(t − 3) = t + 37. What is t?
  34. 34.What is √2704? =
  35. 35.Use (a − b)² = a² − 2ab + b² to find 92².
  36. 36.A cuboid is 15 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
  37. 37.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  38. 38.A trapezium has parallel sides of 4 cm and 20 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  39. 39.Use (a + b)² = a² + 2ab + b² to find 32².
  40. 40.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?

Answer key

  1. 25
  2. 1089
  3. 1728
  4. 30
  5. 100
  6. 27
  7. 128
  8. 483
  9. 14
  10. 484
  11. 512
  12. 4
  13. 529
  14. 29988
  15. 10
  16. 150
  17. 3380
  18. 92
  19. 289
  20. 130
  21. 0.0053
  22. 1296
  23. 0.00016
  24. 64
  25. 1
  26. 64
  27. 10
  28. 1296
  29. 0.79
  30. 169
  31. 35
  32. 32025
  33. 11
  34. 52
  35. 8464
  36. 550
  37. 7
  38. 120
  39. 1024
  40. 216

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