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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 91 · 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 the value of 10¹ × 10⁻²? =
  2. 2.Solve: t/4 + t/3 = 7. What is t?
  3. 3.Use (a − b)² = a² − 2ab + b² to find 51².
  4. 4.The length of a rectangle is 11 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  5. 5.What is 18³? =
  6. 6.A father is 42 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  7. 7.Find the compound interest on ₹14800 at 12% per year for 1 year, compounded every year (in ₹).
  8. 8.What is the value of 5¹ × 5⁻⁴? =
  9. 9.Write 98,000 in standard form as 9.8 × 10ⁿ. What is n?
  10. 10.Use (a + b)(a − b) = a² − b² to find 59 × 41.
  11. 11.Solve: 3(t − 1) = 2t + 10. What is t?
  12. 12.What is the value of 2² × 2⁻⁴? =
  13. 13.What is 79²? =
  14. 14.Use a² − b² = (a + b)(a − b) to find 65² − 1².
  15. 15.What is the value of 2⁵ × 2⁻²? =
  16. 16.The length of a rectangle is 14 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  17. 17.A trapezium has parallel sides of 26 cm and 28 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  18. 18.A father is 4 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  19. 19.A town has 2800 people. The population grows by 15% every year. What will the population be after 2 years?
  20. 20.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  21. 21.The length of a rectangle is 6 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  22. 22.What is √1600? =
  23. 23.What is 18²? =
  24. 24.What amount will ₹55000 grow to in 1 year at 20% per year compound interest (in ₹)?
  25. 25.Use (a + b)² = a² + 2ab + b² to find 73².
  26. 26.A trapezium has parallel sides of 17 cm and 3 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  27. 27.How many whole numbers lie between 41² and 42²?
  28. 28.A father is 26 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  29. 29.Solve: 4(m − 1) = 3m + 8. What is m?
  30. 30.Find the value of x² + 2xy + y² when x = 4 and y = 1.
  31. 31.A cuboid is 15 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
  32. 32.Which of these is a perfect square? (a) 1089 (b) 1110 (c) 1125
  33. 33.What is ∛13824? =
  34. 34.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  35. 35.Use a² − b² = (a + b)(a − b) to find 24² − 10².
  36. 36.Use (a − b)² = a² − 2ab + b² to find 62².
  37. 37.What is ∛6859? =
  38. 38.What is the value of 5³ × 5⁻¹? =
  39. 39.What is ∛64? =
  40. 40.A father is 18 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?

Answer key

  1. 1/10
  2. 12
  3. 2601
  4. 17
  5. 5832
  6. 7
  7. 1776
  8. 1/125
  9. 4
  10. 2419
  11. 13
  12. 1/4
  13. 6241
  14. 4224
  15. 8
  16. 22
  17. 108
  18. 2
  19. 3703
  20. 13
  21. 5
  22. 40
  23. 324
  24. 66000
  25. 5329
  26. 30
  27. 82
  28. 11
  29. 12
  30. 25
  31. 500
  32. 1089
  33. 24
  34. 3174
  35. 476
  36. 3844
  37. 19
  38. 25
  39. 4
  40. 3

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