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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 660 · 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 50² − 11².
  2. 2.Use a² − b² = (a + b)(a − b) to find 62² − 50².
  3. 3.What is ∛343? =
  4. 4.If a − b = 7 and ab = 18, what is a² + b²?
  5. 5.What is the value of 2⁶ × 2⁻⁴? =
  6. 6.What is 55²? =
  7. 7.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  8. 8.Use (a − b)² = a² − 2ab + b² to find 58².
  9. 9.Use (a + b)(a − b) = a² − b² to find 77 × 63.
  10. 10.If a + b = 23 and ab = 132, what is a² + b²?
  11. 11.What amount will ₹48700 grow to in 1 year at 5% per year compound interest (in ₹)?
  12. 12.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
  13. 13.The diagonals of a rhombus are 26 cm and 8 cm. What is its area (in square cm)?
  14. 14.What is the smallest whole number by which 12 must be divided to get a perfect square?
  15. 15.Use (a − b)² = a² − 2ab + b² to find 39².
  16. 16.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  17. 17.The sum of four consecutive whole numbers is 82. What is the smallest of them?
  18. 18.What amount will ₹46800 grow to in 1 year at 8% per year compound interest (in ₹)?
  19. 19.What is the value of 10²? =
  20. 20.What is the smallest whole number by which 8 must be multiplied to get a perfect square?
  21. 21.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  22. 22.What is the value of 2³ × 2⁻³? =
  23. 23.Find the compound interest on ₹6000 at 10% per year for 3 years, compounded every year (in ₹).
  24. 24.What is ∛13824? =
  25. 25.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  26. 26.What is ∛4913? =
  27. 27.A square garden has an area of 1444 square m. How long is each side (in m)?
  28. 28.Write 9.4 × 10⁻² as a decimal. =
  29. 29.What is √8464? =
  30. 30.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  31. 31.What is 6³? =
  32. 32.Use (a + b)(a − b) = a² − b² to find 101 × 99.
  33. 33.Solve: 6y + 16 = 5y + 18. What is y?
  34. 34.Write 24,00,000 in standard form as 2.4 × 10ⁿ. What is n?
  35. 35.What is the difference between the compound interest and the simple interest on ₹24400 at 25% per year for 2 years (in ₹)?
  36. 36.A cuboid is 3 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
  37. 37.How many whole numbers lie between 32² and 33²?
  38. 38.A town has 44600 people. The population grows by 4% every year. What will the population be after 1 year?
  39. 39.What is the value of 10³ × 10⁻¹? =
  40. 40.If a − b = 1 and ab = 90, what is a² + b²?

Answer key

  1. 2379
  2. 1344
  3. 7
  4. 85
  5. 4
  6. 3025
  7. 16
  8. 3364
  9. 4851
  10. 265
  11. 51135
  12. 49
  13. 104
  14. 3
  15. 1521
  16. 8
  17. 19
  18. 50544
  19. 100
  20. 2
  21. 11
  22. 1
  23. 1986
  24. 24
  25. 64
  26. 17
  27. 38
  28. 0.094
  29. 92
  30. 600
  31. 216
  32. 9999
  33. 2
  34. 6
  35. 1525
  36. 174
  37. 64
  38. 46384
  39. 100
  40. 181

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