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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 433 · 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.Write (9³)² as a single power 9ⁿ. What is n?
  2. 2.The sum of two consecutive whole numbers is 81. What is the smallest of them?
  3. 3.What is 68²? =
  4. 4.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.What amount will ₹19400 grow to in 1 year at 10% per year compound interest (in ₹)?
  7. 7.What is √1444? =
  8. 8.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  9. 9.Solve: 5(y − 1) = y + 19. What is y?
  10. 10.Find the value of x² − 2xy + y² when x = 6 and y = 3.
  11. 11.What is 5³? =
  12. 12.4.8 × 10⁶ =
  13. 13.Solve: n/2 + n/5 = 49. What is n?
  14. 14.Which of these is a perfect cube? (a) 96 (b) 64 (c) 92
  15. 15.What is the value of 3⁵ × 3⁻²? =
  16. 16.A father is 18 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?
  17. 17.A father is 20 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  18. 18.What is the value of 10³? =
  19. 19.4.1 × 10⁴ =
  20. 20.A trapezium has an area of 250 square cm. Its parallel sides are 15 cm and 10 cm. What is the distance between them (in cm)?
  21. 21.What is the value of (3/8)⁻²? =
  22. 22.What is the value of 3⁶ × 3⁻⁵? =
  23. 23.Use (a + b)(a − b) = a² − b² to find 71 × 69.
  24. 24.A scooter is worth ₹48000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
  25. 25.How many whole numbers lie between 31² and 32²?
  26. 26.If a − b = 5 and ab = 6, what is a² + b²?
  27. 27.Write (3⁸)⁶ as a single power 3ⁿ. What is n?
  28. 28.Write (6⁸)⁶ as a single power 6ⁿ. What is n?
  29. 29.The length of a rectangle is 15 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  30. 30.The length of a rectangle is 14 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  31. 31.Solve: 4(t − 2) = t + 34. What is t?
  32. 32.Use (a + b)(a − b) = a² − b² to find 75 × 65.
  33. 33.What is 72²? =
  34. 34.What is the value of (3/4)⁻²? =
  35. 35.What is the value of 8⁴? =
  36. 36.A town has 11500 people. The population grows by 12% every year. What will the population be after 1 year?
  37. 37.2.6 × 10³ =
  38. 38.Which of these is a perfect cube? (a) 1797 (b) 1728 (c) 1855
  39. 39.Find the compound interest on ₹16000 at 25% per year for 3 years, compounded every year (in ₹).
  40. 40.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?

Answer key

  1. 6
  2. 40
  3. 4624
  4. 125
  5. 216
  6. 21340
  7. 38
  8. 7
  9. 6
  10. 9
  11. 125
  12. 4800000
  13. 70
  14. 64
  15. 27
  16. 7
  17. 2
  18. 1000
  19. 41000
  20. 20
  21. 64/9
  22. 3
  23. 4899
  24. 29478
  25. 62
  26. 37
  27. 48
  28. 48
  29. 6
  30. 13
  31. 14
  32. 4875
  33. 5184
  34. 16/9
  35. 4096
  36. 12880
  37. 2600
  38. 1728
  39. 15250
  40. 8

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