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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 507 · 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.Use a² − b² = (a + b)(a − b) to find 74² − 19².
  2. 2.A room is 3 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  3. 3.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  4. 4.Which of these is a perfect cube? (a) 125 (b) 158 (c) 141
  5. 5.What is ∛125? =
  6. 6.A father is 27 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  7. 7.Which of these is a perfect cube? (a) 1000 (b) 1022 (c) 1077
  8. 8.Write 99,000 in standard form as 9.9 × 10ⁿ. What is n?
  9. 9.A square garden has an area of 1225 square m. How long is each side (in m)?
  10. 10.3.5 × 10⁷ =
  11. 11.What is √8464? =
  12. 12.What amount will ₹6700 grow to in 1 year at 5% per year compound interest (in ₹)?
  13. 13.6.9 × 10³ =
  14. 14.Which of these is a perfect square? (a) 403 (b) 400 (c) 423
  15. 15.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  16. 16.Solve: t/4 + t/3 = 49. What is t?
  17. 17.What amount will ₹48000 grow to in 3 years at 10% per year compound interest (in ₹)?
  18. 18.What is the difference between the compound interest and the simple interest on ₹40000 at 4% per year for 2 years (in ₹)?
  19. 19.Write 6⁸ × 6³ as a single power 6ⁿ. What is n?
  20. 20.The diagonals of a rhombus are 30 cm and 20 cm. What is its area (in square cm)?
  21. 21.Use (a + b)(a − b) = a² − b² to find 26 × 14.
  22. 22.What is √5041? =
  23. 23.What is 3³? =
  24. 24.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  25. 25.A square garden has an area of 361 square m. How long is each side (in m)?
  26. 26.A scooter is worth ₹39900. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
  27. 27.A father is 30 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  28. 28.Write 7,30,000 in standard form as 7.3 × 10ⁿ. What is n?
  29. 29.Which of these is a perfect square? (a) 676 (b) 689 (c) 684
  30. 30.What is the value of 10² × 10⁻¹? =
  31. 31.Write (5³)⁵ as a single power 5ⁿ. What is n?
  32. 32.Find the compound interest on ₹23900 at 12% per year for 1 year, compounded every year (in ₹).
  33. 33.What is ∛6859? =
  34. 34.What is 18³? =
  35. 35.Solve: 6x + 14 = 3x + 26. What is x?
  36. 36.Solve: 6(t − 4) = t + 16. What is t?
  37. 37.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  38. 38.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  39. 39.If a + b = 16 and ab = 63, what is a² + b²?
  40. 40.The diagonals of a rhombus are 20 cm and 13 cm. What is its area (in square cm)?

Answer key

  1. 5115
  2. 88
  3. 5
  4. 125
  5. 5
  6. 3
  7. 1000
  8. 4
  9. 35
  10. 35000000
  11. 92
  12. 7035
  13. 6900
  14. 400
  15. 12
  16. 84
  17. 63888
  18. 64
  19. 11
  20. 300
  21. 364
  22. 71
  23. 27
  24. 6
  25. 19
  26. 32319
  27. 8
  28. 5
  29. 676
  30. 10
  31. 15
  32. 2868
  33. 19
  34. 5832
  35. 4
  36. 8
  37. 3
  38. 2
  39. 130
  40. 130

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