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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 337 · 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.What is 7³? =
  2. 2.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  3. 3.Use a² − b² = (a + b)(a − b) to find 43² − 1².
  4. 4.Find the value of x² − 2xy + y² when x = 3 and y = 2.
  5. 5.The diagonals of a rhombus are 26 cm and 17 cm. What is its area (in square cm)?
  6. 6.Which of these is a perfect square? (a) 1156 (b) 1214 (c) 1157
  7. 7.What is the value of 10⁴ × 10⁻²? =
  8. 8.Find the value of x² − 2xy + y² when x = 5 and y = 1.
  9. 9.Solve: 4n + 3 = 3n + 15. What is n?
  10. 10.The diagonals of a rhombus are 8 cm and 24 cm. What is its area (in square cm)?
  11. 11.Use a² − b² = (a + b)(a − b) to find 31² − 5².
  12. 12.What is 40²? =
  13. 13.What is the difference between the compound interest and the simple interest on ₹37500 at 8% per year for 2 years (in ₹)?
  14. 14.Write 7.8 × 10⁻¹ as a decimal. =
  15. 15.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  16. 16.Use (a + b)² = a² + 2ab + b² to find 104².
  17. 17.Which of these is a perfect cube? (a) 94 (b) 64 (c) 76
  18. 18.Find the compound interest on ₹56700 at 20% per year for 2 years, compounded every year (in ₹).
  19. 19.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  20. 20.What amount will ₹59300 grow to in 2 years at 10% per year compound interest (in ₹)?
  21. 21.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
  22. 22.Solve: 5y + 20 = 4y + 31. What is y?
  23. 23.Solve: 3(p − 5) = p + 17. What is p?
  24. 24.What is ∛8? =
  25. 25.A town has 39200 people. The population grows by 15% every year. What will the population be after 1 year?
  26. 26.Find the compound interest on ₹6000 at 10% per year for 3 years, compounded every year (in ₹).
  27. 27.Find the value of x² − 2xy + y² when x = 12 and y = 9.
  28. 28.What is the value of (5/7)⁻¹? =
  29. 29.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  30. 30.4.5 × 10⁵ =
  31. 31.Write 80,00,000 in standard form as 8 × 10ⁿ. What is n?
  32. 32.Solve: y/3 + y/5 = 8. What is y?
  33. 33.Find the compound interest on ₹33700 at 10% per year for 2 years, compounded every year (in ₹).
  34. 34.What is √3364? =
  35. 35.A trapezium has parallel sides of 24 cm and 4 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  36. 36.Solve: 9m + 6 = m + 118. What is m?
  37. 37.What is the difference between the compound interest and the simple interest on ₹57500 at 4% per year for 2 years (in ₹)?
  38. 38.What is the value of 3⁴? =
  39. 39.A trapezium has an area of 192 square cm. Its parallel sides are 8 cm and 16 cm. What is the distance between them (in cm)?
  40. 40.Write (7⁶)⁴ as a single power 7ⁿ. What is n?

Answer key

  1. 343
  2. 20
  3. 1848
  4. 1
  5. 221
  6. 1156
  7. 100
  8. 16
  9. 12
  10. 96
  11. 936
  12. 1600
  13. 240
  14. 0.78
  15. 3
  16. 10816
  17. 64
  18. 24948
  19. 1014
  20. 71753
  21. 441
  22. 11
  23. 16
  24. 2
  25. 45080
  26. 1986
  27. 9
  28. 7/5
  29. 64
  30. 450000
  31. 6
  32. 15
  33. 7077
  34. 58
  35. 140
  36. 14
  37. 92
  38. 81
  39. 16
  40. 24

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