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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 150 · 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 scooter is worth ₹18300. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
  2. 2.A town has 24200 people. The population grows by 15% every year. What will the population be after 1 year?
  3. 3.Use (a + b)² = a² + 2ab + b² to find 37².
  4. 4.Solve: 8n + 6 = 5n + 9. What is n?
  5. 5.Use (a + b)² = a² + 2ab + b² to find 23².
  6. 6.What is √1024? =
  7. 7.How many whole numbers lie between 10² and 11²?
  8. 8.What amount will ₹22400 grow to in 2 years at 25% per year compound interest (in ₹)?
  9. 9.Use (a + b)(a − b) = a² − b² to find 46 × 34.
  10. 10.Use (a + b)(a − b) = a² − b² to find 33 × 27.
  11. 11.Write 4.7 × 10⁻² as a decimal. =
  12. 12.Use (a − b)² = a² − 2ab + b² to find 19².
  13. 13.1.8 × 10² =
  14. 14.Solve: 4(p − 1) = 2p + 14. What is p?
  15. 15.A cuboid is 11 cm long, 12 cm wide and 6 cm high. What is its total surface area (in square cm)?
  16. 16.Use (a + b)(a − b) = a² − b² to find 91 × 89.
  17. 17.What is √9409? =
  18. 18.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  19. 19.What is 46²? =
  20. 20.A square garden has an area of 3481 square m. How long is each side (in m)?
  21. 21.What is the smallest whole number by which 960 must be multiplied to get a perfect square?
  22. 22.Find the compound interest on ₹28400 at 15% per year for 1 year, compounded every year (in ₹).
  23. 23.What is the value of 9⁻³ (as a fraction)? =
  24. 24.How many whole numbers lie between 5² and 6²?
  25. 25.Use (a + b)² = a² + 2ab + b² to find 28².
  26. 26.The diagonals of a rhombus are 8 cm and 3 cm. What is its area (in square cm)?
  27. 27.Use a² − b² = (a + b)(a − b) to find 69² − 44².
  28. 28.Find the compound interest on ₹7500 at 4% per year for 2 years, compounded every year (in ₹).
  29. 29.Solve: 4(n − 2) = 3n + 7. What is n?
  30. 30.Use (a + b)² = a² + 2ab + b² to find 34².
  31. 31.Find the compound interest on ₹35000 at 4% per year for 2 years, compounded every year (in ₹).
  32. 32.A trapezium has parallel sides of 18 cm and 24 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  33. 33.Use (a − b)² = a² − 2ab + b² to find 15².
  34. 34.What is the value of 3⁵? =
  35. 35.Write 2¹¹ ÷ 2² as a single power 2ⁿ. What is n?
  36. 36.What is the value of 4⁶? =
  37. 37.What is 23²? =
  38. 38.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
  39. 39.Write 4² × 4³ as a single power 4ⁿ. What is n?
  40. 40.Solve: x/2 + x/3 = 35. What is x?

Answer key

  1. 17385
  2. 27830
  3. 1369
  4. 1
  5. 529
  6. 32
  7. 20
  8. 35000
  9. 1564
  10. 891
  11. 0.047
  12. 361
  13. 180
  14. 9
  15. 540
  16. 8099
  17. 97
  18. 7
  19. 2116
  20. 59
  21. 15
  22. 4260
  23. 1/729
  24. 10
  25. 784
  26. 12
  27. 2825
  28. 612
  29. 15
  30. 1156
  31. 2856
  32. 210
  33. 225
  34. 243
  35. 9
  36. 4096
  37. 529
  38. 676
  39. 5
  40. 42

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