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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 778 · 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.If a + b = 6 and ab = 8, what is a² + b²?
  2. 2.Which of these is a perfect cube? (a) 72 (b) 99 (c) 64
  3. 3.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  4. 4.What is the value of 2³ × 2⁻¹? =
  5. 5.Use (a + b)(a − b) = a² − b² to find 79 × 61.
  6. 6.The length of a rectangle is 2 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  7. 7.How many whole numbers lie between 36² and 37²?
  8. 8.Write 2¹² ÷ 2⁵ as a single power 2ⁿ. What is n?
  9. 9.Find the value of x² + 2xy + y² when x = 9 and y = 1.
  10. 10.Use (a + b)² = a² + 2ab + b² to find 72².
  11. 11.Use (a + b)² = a² + 2ab + b² to find 83².
  12. 12.What is the value of 3²? =
  13. 13.Use (a + b)² = a² + 2ab + b² to find 32².
  14. 14.Find the compound interest on ₹20700 at 4% per year for 1 year, compounded every year (in ₹).
  15. 15.What is the value of (2/7)⁻¹? =
  16. 16.A room is 3 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  17. 17.What amount will ₹51200 grow to in 1 year at 12% per year compound interest (in ₹)?
  18. 18.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  19. 19.What is the value of (1/2)⁻²? =
  20. 20.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  21. 21.What amount will ₹54400 grow to in 2 years at 25% per year compound interest (in ₹)?
  22. 22.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  23. 23.What is ∛8? =
  24. 24.Use (a − b)² = a² − 2ab + b² to find 27².
  25. 25.A trapezium has parallel sides of 21 cm and 9 cm, and the distance between them is 19 cm. What is its area (in square cm)?
  26. 26.Find the compound interest on ₹27200 at 20% per year for 1 year, compounded every year (in ₹).
  27. 27.Use a² − b² = (a + b)(a − b) to find 55² − 2².
  28. 28.What is √9801? =
  29. 29.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  30. 30.What amount will ₹58800 grow to in 1 year at 8% per year compound interest (in ₹)?
  31. 31.What is the value of 5²? =
  32. 32.A father is 22 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  33. 33.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.The sum of three consecutive whole numbers is 159. What is the largest of them?
  35. 35.What is the value of 10⁵ × 10⁻³? =
  36. 36.What amount will ₹41700 grow to in 1 year at 20% per year compound interest (in ₹)?
  37. 37.Write 6⁵ × 6⁸ as a single power 6ⁿ. What is n?
  38. 38.Solve: 4(x − 1) = x + 17. What is x?
  39. 39.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  40. 40.Use (a − b)² = a² − 2ab + b² to find 12².

Answer key

  1. 20
  2. 64
  3. 18
  4. 4
  5. 4819
  6. 27
  7. 72
  8. 7
  9. 100
  10. 5184
  11. 6889
  12. 9
  13. 1024
  14. 828
  15. 7/2
  16. 48
  17. 57344
  18. 4
  19. 4
  20. 12
  21. 85000
  22. 27
  23. 2
  24. 729
  25. 285
  26. 5440
  27. 3021
  28. 99
  29. 3
  30. 63504
  31. 25
  32. 7
  33. 216
  34. 54
  35. 100
  36. 50040
  37. 13
  38. 7
  39. 1734
  40. 144

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