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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 460 · 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: 4t + 12 = t + 57. What is t?
  2. 2.A square garden has an area of 441 square m. How long is each side (in m)?
  3. 3.What is the value of 9³? =
  4. 4.Which of these is a perfect square? (a) 753 (b) 740 (c) 729
  5. 5.A cuboid is 9 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
  6. 6.Use (a + b)(a − b) = a² − b² to find 101 × 99.
  7. 7.What is the value of 5⁴ × 5⁻¹? =
  8. 8.A cuboid is 6 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
  9. 9.What is 43²? =
  10. 10.A father is 30 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  11. 11.Find the compound interest on ₹55000 at 4% per year for 2 years, compounded every year (in ₹).
  12. 12.Write (6⁹)² as a single power 6ⁿ. What is n?
  13. 13.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  14. 14.What is √6889? =
  15. 15.Which of these is a perfect cube? (a) 1000 (b) 1286 (c) 1180
  16. 16.If a + b = 5 and ab = 6, what is a² + b²?
  17. 17.What is the smallest whole number by which 63 must be divided to get a perfect square?
  18. 18.What is the value of 2¹¹? =
  19. 19.Write 6³ × 6⁵ as a single power 6ⁿ. What is n?
  20. 20.What is the value of 4⁵? =
  21. 21.Which of these is a perfect cube? (a) 69 (b) 78 (c) 64
  22. 22.What amount will ₹7500 grow to in 2 years at 8% per year compound interest (in ₹)?
  23. 23.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  24. 24.Use (a + b)² = a² + 2ab + b² to find 19².
  25. 25.The length of a rectangle is 15 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  26. 26.What is the value of 4²? =
  27. 27.The length of a rectangle is 6 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  28. 28.A trapezium has parallel sides of 17 cm and 23 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  29. 29.What is the value of 8⁻² (as a fraction)? =
  30. 30.What is 18²? =
  31. 31.What is ∛6859? =
  32. 32.What is the difference between the compound interest and the simple interest on ₹11200 at 25% per year for 2 years (in ₹)?
  33. 33.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  34. 34.What amount will ₹21700 grow to in 1 year at 5% per year compound interest (in ₹)?
  35. 35.What amount will ₹37500 grow to in 2 years at 8% per year compound interest (in ₹)?
  36. 36.How many whole numbers lie between 12² and 13²?
  37. 37.Find the compound interest on ₹17900 at 20% per year for 2 years, compounded every year (in ₹).
  38. 38.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  39. 39.If a + b = 3 and ab = 2, what is a² + b²?
  40. 40.The length of a rectangle is 14 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?

Answer key

  1. 15
  2. 21
  3. 729
  4. 729
  5. 168
  6. 9999
  7. 125
  8. 248
  9. 1849
  10. 12
  11. 4488
  12. 18
  13. 9
  14. 83
  15. 1000
  16. 13
  17. 7
  18. 2048
  19. 8
  20. 1024
  21. 64
  22. 8748
  23. 2
  24. 361
  25. 15
  26. 16
  27. 9
  28. 360
  29. 1/64
  30. 324
  31. 19
  32. 700
  33. 14
  34. 22785
  35. 43740
  36. 24
  37. 7876
  38. 20
  39. 5
  40. 5

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