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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 845 · 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 two consecutive whole numbers is 69. What is the largest of them?
  2. 2.Write 2⁶ × 2⁹ as a single power 2ⁿ. What is n?
  3. 3.What is ∛1728? =
  4. 4.A trapezium has an area of 210 square cm. Its parallel sides are 24 cm and 4 cm. What is the distance between them (in cm)?
  5. 5.If a − b = 1 and ab = 30, what is a² + b²?
  6. 6.What is the difference between the compound interest and the simple interest on ₹49600 at 25% per year for 2 years (in ₹)?
  7. 7.Find the value of x² + 2xy + y² when x = 3 and y = 2.
  8. 8.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  9. 9.What is the value of 5²? =
  10. 10.What is 20²? =
  11. 11.What is the value of 2⁵ × 2⁻⁴? =
  12. 12.Find the value of x² + 2xy + y² when x = 6 and y = 4.
  13. 13.What amount will ₹21600 grow to in 1 year at 25% per year compound interest (in ₹)?
  14. 14.Use (a + b)(a − b) = a² − b² to find 64 × 56.
  15. 15.Find the compound interest on ₹17800 at 4% per year for 1 year, compounded every year (in ₹).
  16. 16.If a − b = 1 and ab = 2, what is a² + b²?
  17. 17.Use (a + b)² = a² + 2ab + b² to find 41².
  18. 18.Solve: 5(t − 1) = t + 35. What is t?
  19. 19.Write 6.4 × 10⁻³ as a decimal. =
  20. 20.A cuboid is 5 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  21. 21.What amount will ₹24000 grow to in 3 years at 20% per year compound interest (in ₹)?
  22. 22.A cuboid is 12 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  23. 23.What is √2916? =
  24. 24.What is the value of (1/6)⁻²? =
  25. 25.If a − b = 10 and ab = 24, what is a² + b²?
  26. 26.Solve: 3n + 10 = n + 30. What is n?
  27. 27.A square garden has an area of 2500 square m. How long is each side (in m)?
  28. 28.What amount will ₹2200 grow to in 1 year at 12% per year compound interest (in ₹)?
  29. 29.The diagonals of a rhombus are 18 cm and 10 cm. What is its area (in square cm)?
  30. 30.Solve: 3(n − 1) = n + 13. What is n?
  31. 31.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  32. 32.Write (6⁸)⁵ as a single power 6ⁿ. What is n?
  33. 33.Solve: t/6 + t/4 = 20. What is t?
  34. 34.What is √3844? =
  35. 35.Use (a + b)(a − b) = a² − b² to find 105 × 95.
  36. 36.A square garden has an area of 784 square m. How long is each side (in m)?
  37. 37.Use (a + b)² = a² + 2ab + b² to find 23².
  38. 38.What amount will ₹20000 grow to in 2 years at 25% per year compound interest (in ₹)?
  39. 39.Use a² − b² = (a + b)(a − b) to find 30² − 5².
  40. 40.If a + b = 6 and ab = 8, what is a² + b²?

Answer key

  1. 35
  2. 15
  3. 12
  4. 15
  5. 61
  6. 3100
  7. 25
  8. 4
  9. 25
  10. 400
  11. 2
  12. 100
  13. 27000
  14. 3584
  15. 712
  16. 5
  17. 1681
  18. 10
  19. 0.0064
  20. 76
  21. 41472
  22. 160
  23. 54
  24. 36
  25. 148
  26. 10
  27. 50
  28. 2464
  29. 90
  30. 8
  31. 8
  32. 40
  33. 48
  34. 62
  35. 9975
  36. 28
  37. 529
  38. 31250
  39. 875
  40. 20

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