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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 989 · 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 cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  2. 2.If a + b = 7 and ab = 12, what is a² + b²?
  3. 3.What is 16³? =
  4. 4.Use (a + b)² = a² + 2ab + b² to find 73².
  5. 5.What is the value of 2² × 2⁻⁵? =
  6. 6.If a + b = 5 and ab = 4, what is a² + b²?
  7. 7.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  8. 8.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  9. 9.Write 8⁶ × 8³ as a single power 8ⁿ. What is n?
  10. 10.The diagonals of a rhombus are 28 cm and 12 cm. What is its area (in square cm)?
  11. 11.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
  12. 12.A father is 24 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?
  13. 13.What is the value of 3² × 3⁻⁵? =
  14. 14.Use (a − b)² = a² − 2ab + b² to find 17².
  15. 15.If a − b = 11 and ab = 12, what is a² + b²?
  16. 16.A square garden has an area of 49 square m. How long is each side (in m)?
  17. 17.Solve: 4(x − 5) = x + 22. What is x?
  18. 18.What is the value of 5⁵ × 5⁻¹? =
  19. 19.What is √961? =
  20. 20.What is the difference between the compound interest and the simple interest on ₹50800 at 15% per year for 2 years (in ₹)?
  21. 21.The sum of two consecutive whole numbers is 117. What is the smallest of them?
  22. 22.A trapezium has an area of 37 square cm. Its parallel sides are 19 cm and 18 cm. What is the distance between them (in cm)?
  23. 23.Which of these is a perfect square? (a) 274 (b) 263 (c) 256
  24. 24.What is √676? =
  25. 25.Solve: 4(t − 1) = t + 8. What is t?
  26. 26.What is 52²? =
  27. 27.Write (2²)⁵ as a single power 2ⁿ. What is n?
  28. 28.Solve: p/4 + p/2 = 18. What is p?
  29. 29.What is the difference between the compound interest and the simple interest on ₹56600 at 10% per year for 2 years (in ₹)?
  30. 30.Find the compound interest on ₹50000 at 8% per year for 1 year, compounded every year (in ₹).
  31. 31.Use a² − b² = (a + b)(a − b) to find 27² − 9².
  32. 32.What is √8281? =
  33. 33.A cuboid is 3 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
  34. 34.Solve: 6(n − 1) = n + 19. What is n?
  35. 35.What is 18³? =
  36. 36.Use (a − b)² = a² − 2ab + b² to find 86².
  37. 37.The diagonals of a rhombus are 24 cm and 6 cm. What is its area (in square cm)?
  38. 38.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  39. 39.A trapezium has an area of 140 square cm. Its parallel sides are 26 cm and 9 cm. What is the distance between them (in cm)?
  40. 40.What is the value of 2¹⁰? =

Answer key

  1. 11
  2. 25
  3. 4096
  4. 5329
  5. 1/8
  6. 17
  7. 10
  8. 2
  9. 9
  10. 168
  11. 576
  12. 8
  13. 1/27
  14. 289
  15. 145
  16. 7
  17. 14
  18. 625
  19. 31
  20. 1143
  21. 58
  22. 2
  23. 256
  24. 26
  25. 4
  26. 2704
  27. 10
  28. 24
  29. 566
  30. 4000
  31. 648
  32. 91
  33. 62
  34. 5
  35. 5832
  36. 7396
  37. 72
  38. 6
  39. 8
  40. 1024

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