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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 474 · 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 three consecutive whole numbers is 132. What is the smallest of them?
  2. 2.A square garden has an area of 1156 square m. How long is each side (in m)?
  3. 3.What is the value of 2⁻⁵ (as a fraction)? =
  4. 4.A square garden has an area of 1225 square m. How long is each side (in m)?
  5. 5.If a − b = 1 and ab = 2, what is a² + b²?
  6. 6.Use (a + b)² = a² + 2ab + b² to find 99².
  7. 7.Find the compound interest on ₹19200 at 5% per year for 1 year, compounded every year (in ₹).
  8. 8.What amount will ₹14000 grow to in 1 year at 15% per year compound interest (in ₹)?
  9. 9.What is √841? =
  10. 10.Write 3.7 × 10⁻¹ as a decimal. =
  11. 11.A trapezium has parallel sides of 19 cm and 10 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  12. 12.Write 3.3 × 10⁻³ as a decimal. =
  13. 13.Use (a + b)² = a² + 2ab + b² to find 105².
  14. 14.A father is 4 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  15. 15.What is ∛27? =
  16. 16.Write 26,00,000 in standard form as 2.6 × 10ⁿ. What is n?
  17. 17.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  18. 18.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  19. 19.A father is 54 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  20. 20.What is √3969? =
  21. 21.A trapezium has parallel sides of 26 cm and 6 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  22. 22.Solve: 8x + 11 = 4x + 19. What is x?
  23. 23.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  24. 24.Find the compound interest on ₹9700 at 20% per year for 1 year, compounded every year (in ₹).
  25. 25.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  26. 26.Which of these is a perfect cube? (a) 276 (b) 306 (c) 216
  27. 27.Find the compound interest on ₹17500 at 8% per year for 1 year, compounded every year (in ₹).
  28. 28.What is ∛10648? =
  29. 29.What is √9409? =
  30. 30.A scooter is worth ₹16000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
  31. 31.Find the value of x² − 2xy + y² when x = 7 and y = 6.
  32. 32.What is the value of (3/4)⁻¹? =
  33. 33.Use a² − b² = (a + b)(a − b) to find 34² − 21².
  34. 34.Use (a + b)² = a² + 2ab + b² to find 107².
  35. 35.Write 9³ × 9⁹ as a single power 9ⁿ. What is n?
  36. 36.What is 73²? =
  37. 37.Write (9⁶)⁶ as a single power 9ⁿ. What is n?
  38. 38.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  39. 39.What amount will ₹52600 grow to in 1 year at 15% per year compound interest (in ₹)?
  40. 40.If a − b = 5 and ab = 14, what is a² + b²?

Answer key

  1. 43
  2. 34
  3. 1/32
  4. 35
  5. 5
  6. 9801
  7. 960
  8. 16100
  9. 29
  10. 0.37
  11. 29
  12. 0.0033
  13. 11025
  14. 3
  15. 3
  16. 6
  17. 8
  18. 726
  19. 11
  20. 63
  21. 128
  22. 2
  23. 384
  24. 1940
  25. 15
  26. 216
  27. 1400
  28. 22
  29. 97
  30. 9826
  31. 1
  32. 4/3
  33. 715
  34. 11449
  35. 12
  36. 5329
  37. 36
  38. 7
  39. 60490
  40. 53

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