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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 488 · 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.The sum of two consecutive whole numbers is 79. What is the smallest of them?
  2. 2.How many whole numbers lie between 16² and 17²?
  3. 3.What is 16²? =
  4. 4.What amount will ₹41000 grow to in 1 year at 20% per year compound interest (in ₹)?
  5. 5.What is the value of 7²? =
  6. 6.Use (a + b)² = a² + 2ab + b² to find 24².
  7. 7.Find the compound interest on ₹15800 at 20% per year for 2 years, compounded every year (in ₹).
  8. 8.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
  9. 9.A trapezium has parallel sides of 8 cm and 11 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  10. 10.Use (a + b)(a − b) = a² − b² to find 93 × 87.
  11. 11.Use (a + b)² = a² + 2ab + b² to find 22².
  12. 12.Solve: x/2 + x/4 = 21. What is x?
  13. 13.What is the value of 3² × 3⁻¹? =
  14. 14.What is the difference between the compound interest and the simple interest on ₹42000 at 5% per year for 2 years (in ₹)?
  15. 15.Find the compound interest on ₹52500 at 8% per year for 2 years, compounded every year (in ₹).
  16. 16.A town has 45900 people. The population grows by 20% every year. What will the population be after 2 years?
  17. 17.What is the value of 5² × 5⁻¹? =
  18. 18.What is the difference between the compound interest and the simple interest on ₹50000 at 4% per year for 2 years (in ₹)?
  19. 19.What is ∛2744? =
  20. 20.A room is 11 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  21. 21.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  22. 22.What is √2116? =
  23. 23.Solve: n/4 + n/5 = 9. What is n?
  24. 24.What is the value of 2⁴? =
  25. 25.Which of these is a perfect square? (a) 216 (b) 224 (c) 196
  26. 26.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  27. 27.Use (a − b)² = a² − 2ab + b² to find 59².
  28. 28.What is 49²? =
  29. 29.A trapezium has parallel sides of 28 cm and 16 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  30. 30.The length of a rectangle is 8 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
  31. 31.How many whole numbers lie between 17² and 18²?
  32. 32.Write (8⁸)⁴ as a single power 8ⁿ. What is n?
  33. 33.Use (a + b)² = a² + 2ab + b² to find 66².
  34. 34.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  35. 35.Write 3 × 10⁻⁴ as a decimal. =
  36. 36.What is 51²? =
  37. 37.What is √3844? =
  38. 38.Use (a + b)(a − b) = a² − b² to find 33 × 27.
  39. 39.Which of these is a perfect cube? (a) 1000 (b) 1277 (c) 1010
  40. 40.Use (a − b)² = a² − 2ab + b² to find 27².

Answer key

  1. 39
  2. 32
  3. 256
  4. 49200
  5. 49
  6. 576
  7. 6952
  8. 225
  9. 19
  10. 8091
  11. 484
  12. 28
  13. 3
  14. 105
  15. 8736
  16. 66096
  17. 5
  18. 80
  19. 14
  20. 190
  21. 3
  22. 46
  23. 20
  24. 16
  25. 196
  26. 9
  27. 3481
  28. 2401
  29. 88
  30. 28
  31. 34
  32. 32
  33. 4356
  34. 7
  35. 0.0003
  36. 2601
  37. 62
  38. 891
  39. 1000
  40. 729

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