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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 7 · 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.Use a² − b² = (a + b)(a − b) to find 34² − 27².
  2. 2.How many whole numbers lie between 7² and 8²?
  3. 3.What is the smallest whole number by which 112 must be divided to get a perfect square?
  4. 4.The sum of two consecutive whole numbers is 63. What is the smallest of them?
  5. 5.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
  6. 6.What amount will ₹8100 grow to in 1 year at 25% per year compound interest (in ₹)?
  7. 7.Find the compound interest on ₹54000 at 15% per year for 2 years, compounded every year (in ₹).
  8. 8.Use (a + b)² = a² + 2ab + b² to find 31².
  9. 9.Which of these is a perfect square? (a) 903 (b) 905 (c) 900
  10. 10.What is √2401? =
  11. 11.Use (a + b)(a − b) = a² − b² to find 23 × 17.
  12. 12.How many whole numbers lie between 11² and 12²?
  13. 13.Write 5.6 × 10⁻¹ as a decimal. =
  14. 14.Write 7.6 × 10⁻⁴ as a decimal. =
  15. 15.How many whole numbers lie between 17² and 18²?
  16. 16.What is √9409? =
  17. 17.The length of a rectangle is 2 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  18. 18.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  19. 19.A cuboid is 9 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
  20. 20.What is the smallest whole number by which 56 must be multiplied to get a perfect square?
  21. 21.Write 5.9 × 10⁻² as a decimal. =
  22. 22.What is the value of 3⁴ × 3⁻¹? =
  23. 23.What is the value of 3⁶? =
  24. 24.Use a² − b² = (a + b)(a − b) to find 33² − 31².
  25. 25.A trapezium has an area of 60 square cm. Its parallel sides are 9 cm and 3 cm. What is the distance between them (in cm)?
  26. 26.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  27. 27.Solve: 4m + 8 = 2m + 30. What is m?
  28. 28.Write 6⁵ × 6⁹ as a single power 6ⁿ. What is n?
  29. 29.If a − b = 8 and ab = 9, what is a² + b²?
  30. 30.Use a² − b² = (a + b)(a − b) to find 37² − 10².
  31. 31.A square garden has an area of 529 square m. How long is each side (in m)?
  32. 32.Write 8¹⁰ ÷ 8⁶ as a single power 8ⁿ. What is n?
  33. 33.Use (a − b)² = a² − 2ab + b² to find 74².
  34. 34.What is the value of (1/4)⁻¹? =
  35. 35.If a + b = 7 and ab = 10, what is a² + b²?
  36. 36.Solve: 3(x − 3) = x + 5. What is x?
  37. 37.Write (8³)³ as a single power 8ⁿ. What is n?
  38. 38.Write 6.1 × 10⁻⁴ as a decimal. =
  39. 39.What is the smallest whole number by which 325 must be multiplied to get a perfect square?
  40. 40.A father is 30 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?

Answer key

  1. 427
  2. 14
  3. 7
  4. 31
  5. 784
  6. 10125
  7. 17415
  8. 961
  9. 900
  10. 49
  11. 391
  12. 22
  13. 0.56
  14. 0.00076
  15. 34
  16. 97
  17. 16
  18. 3
  19. 384
  20. 14
  21. 0.059
  22. 27
  23. 729
  24. 128
  25. 10
  26. 13
  27. 11
  28. 14
  29. 82
  30. 1269
  31. 23
  32. 4
  33. 5476
  34. 4
  35. 29
  36. 7
  37. 9
  38. 0.00061
  39. 13
  40. 2

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