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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 518 · 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 father is 26 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  2. 2.What is 21²? =
  3. 3.Use (a + b)(a − b) = a² − b² to find 57 × 43.
  4. 4.A cuboid is 8 cm long, 7 cm wide and 7 cm high. What is its total surface area (in square cm)?
  5. 5.Use (a + b)(a − b) = a² − b² to find 72 × 68.
  6. 6.A room is 7 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  7. 7.What amount will ₹9500 grow to in 3 years at 20% per year compound interest (in ₹)?
  8. 8.The sum of three consecutive whole numbers is 33. What is the largest of them?
  9. 9.What is the difference between the compound interest and the simple interest on ₹16400 at 25% per year for 2 years (in ₹)?
  10. 10.Solve: t/5 + t/2 = 42. What is t?
  11. 11.What is the value of 5¹ × 5⁻⁴? =
  12. 12.Solve: m/2 + m/5 = 7. What is m?
  13. 13.Find the compound interest on ₹3600 at 25% per year for 2 years, compounded every year (in ₹).
  14. 14.What is 4³? =
  15. 15.What is ∛13824? =
  16. 16.If a + b = 5 and ab = 4, what is a² + b²?
  17. 17.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  18. 18.What is the value of 10²? =
  19. 19.What is √2601? =
  20. 20.What amount will ₹12400 grow to in 2 years at 10% per year compound interest (in ₹)?
  21. 21.Solve: 3(x − 3) = x + 13. What is x?
  22. 22.What amount will ₹27500 grow to in 2 years at 8% per year compound interest (in ₹)?
  23. 23.Write 780 in standard form as 7.8 × 10ⁿ. What is n?
  24. 24.Which of these is a perfect cube? (a) 3375 (b) 3791 (c) 3789
  25. 25.What is the value of 3¹ × 3⁻⁴? =
  26. 26.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  27. 27.Write 7⁵ × 7⁸ as a single power 7ⁿ. What is n?
  28. 28.Write 6⁴ × 6⁴ as a single power 6ⁿ. What is n?
  29. 29.What is √625? =
  30. 30.Which of these is a perfect cube? (a) 2663 (b) 2365 (c) 2197
  31. 31.Use (a + b)² = a² + 2ab + b² to find 27².
  32. 32.What is 36²? =
  33. 33.Which of these is a perfect cube? (a) 64 (b) 68 (c) 87
  34. 34.Solve: x/5 + x/4 = 45. What is x?
  35. 35.Use (a + b)(a − b) = a² − b² to find 43 × 37.
  36. 36.If a + b = 6 and ab = 5, what is a² + b²?
  37. 37.Use (a + b)(a − b) = a² − b² to find 92 × 88.
  38. 38.Use (a − b)² = a² − 2ab + b² to find 72².
  39. 39.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  40. 40.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?

Answer key

  1. 8
  2. 441
  3. 2451
  4. 322
  5. 4896
  6. 110
  7. 16416
  8. 12
  9. 1025
  10. 60
  11. 1/125
  12. 10
  13. 2025
  14. 64
  15. 24
  16. 17
  17. 14
  18. 100
  19. 51
  20. 15004
  21. 11
  22. 32076
  23. 2
  24. 3375
  25. 1/27
  26. 3750
  27. 13
  28. 8
  29. 25
  30. 2197
  31. 729
  32. 1296
  33. 64
  34. 100
  35. 1591
  36. 26
  37. 8096
  38. 5184
  39. 216
  40. 13

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