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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 966 · 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.Solve: 6(x − 2) = 5x + 1. What is x?
  2. 2.Find the compound interest on ₹3900 at 15% per year for 1 year, compounded every year (in ₹).
  3. 3.What amount will ₹6400 grow to in 3 years at 25% per year compound interest (in ₹)?
  4. 4.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  5. 5.What is 81²? =
  6. 6.A cuboid is 9 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
  7. 7.A trapezium has an area of 35 square cm. Its parallel sides are 19 cm and 16 cm. What is the distance between them (in cm)?
  8. 8.The sum of three consecutive whole numbers is 66. What is the smallest of them?
  9. 9.What is the value of (2/9)⁻¹? =
  10. 10.What is the smallest whole number by which 320 must be divided to get a perfect square?
  11. 11.How many whole numbers lie between 35² and 36²?
  12. 12.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
  13. 13.The sum of two consecutive whole numbers is 45. What is the smallest of them?
  14. 14.A trapezium has an area of 350 square cm. Its parallel sides are 16 cm and 19 cm. What is the distance between them (in cm)?
  15. 15.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  16. 16.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  17. 17.2.3 × 10³ =
  18. 18.What amount will ₹22500 grow to in 2 years at 8% per year compound interest (in ₹)?
  19. 19.The diagonals of a rhombus are 12 cm and 21 cm. What is its area (in square cm)?
  20. 20.Solve: 3(y − 2) = 2y + 7. What is y?
  21. 21.Solve: 5n + 5 = 3n + 13. What is n?
  22. 22.Solve: 6t + 15 = 3t + 48. What is t?
  23. 23.A square garden has an area of 144 square m. How long is each side (in m)?
  24. 24.What is the value of (5/6)⁻¹? =
  25. 25.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  26. 26.What is the value of 3¹ × 3⁻³? =
  27. 27.What is ∛8000? =
  28. 28.The sum of two consecutive whole numbers is 23. What is the largest of them?
  29. 29.Use a² − b² = (a + b)(a − b) to find 84² − 41².
  30. 30.What is the value of 2⁴ × 2⁻⁶? =
  31. 31.Write 9.1 × 10⁻⁴ as a decimal. =
  32. 32.What is the smallest whole number by which 18 must be divided to get a perfect square?
  33. 33.What is the value of 3³ × 3⁻³? =
  34. 34.Solve: n/5 + n/4 = 36. What is n?
  35. 35.Write (7⁷)⁸ as a single power 7ⁿ. What is n?
  36. 36.3.4 × 10² =
  37. 37.Use a² − b² = (a + b)(a − b) to find 83² − 17².
  38. 38.Use a² − b² = (a + b)(a − b) to find 49² − 42².
  39. 39.Write (5⁹)⁷ as a single power 5ⁿ. What is n?
  40. 40.Use (a + b)² = a² + 2ab + b² to find 102².

Answer key

  1. 13
  2. 585
  3. 12500
  4. 3
  5. 6561
  6. 146
  7. 2
  8. 21
  9. 9/2
  10. 5
  11. 70
  12. 729
  13. 22
  14. 20
  15. 25
  16. 12
  17. 2300
  18. 26244
  19. 126
  20. 13
  21. 4
  22. 11
  23. 12
  24. 6/5
  25. 16
  26. 1/9
  27. 20
  28. 12
  29. 5375
  30. 1/4
  31. 0.00091
  32. 2
  33. 1
  34. 80
  35. 56
  36. 340
  37. 6600
  38. 637
  39. 63
  40. 10404

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