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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 138 · 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 big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  2. 2.What is the value of 5⁻² (as a fraction)? =
  3. 3.What is the value of 2³ × 2⁻¹? =
  4. 4.What amount will ₹30800 grow to in 2 years at 25% per year compound interest (in ₹)?
  5. 5.What is 76²? =
  6. 6.How many whole numbers lie between 48² and 49²?
  7. 7.Which of these is a perfect square? (a) 361 (b) 377 (c) 376
  8. 8.What is 18³? =
  9. 9.Use (a − b)² = a² − 2ab + b² to find 62².
  10. 10.A scooter is worth ₹17500. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
  11. 11.What is the difference between the compound interest and the simple interest on ₹17600 at 25% per year for 2 years (in ₹)?
  12. 12.What is √6400? =
  13. 13.The sum of four consecutive whole numbers is 234. What is the smallest of them?
  14. 14.Write (4⁶)⁹ as a single power 4ⁿ. What is n?
  15. 15.What is ∛125? =
  16. 16.A trapezium has an area of 399 square cm. Its parallel sides are 27 cm and 30 cm. What is the distance between them (in cm)?
  17. 17.Use (a − b)² = a² − 2ab + b² to find 77².
  18. 18.Use (a − b)² = a² − 2ab + b² to find 58².
  19. 19.A town has 16800 people. The population grows by 8% every year. What will the population be after 1 year?
  20. 20.What is √169? =
  21. 21.Solve: 7x + 13 = 4x + 25. What is x?
  22. 22.What is the value of (2/5)⁻¹? =
  23. 23.Write 8 × 10⁻⁴ as a decimal. =
  24. 24.If a + b = 7 and ab = 12, what is a² + b²?
  25. 25.The sum of four consecutive whole numbers is 210. What is the smallest of them?
  26. 26.What amount will ₹41200 grow to in 2 years at 5% per year compound interest (in ₹)?
  27. 27.A room is 9 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  28. 28.What is 59²? =
  29. 29.What is 80²? =
  30. 30.Write (2³)⁹ as a single power 2ⁿ. What is n?
  31. 31.What amount will ₹24000 grow to in 3 years at 5% per year compound interest (in ₹)?
  32. 32.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  33. 33.Write 6⁸ × 6⁷ as a single power 6ⁿ. What is n?
  34. 34.What is the smallest whole number by which 1215 must be multiplied to get a perfect square?
  35. 35.If a − b = 2 and ab = 8, what is a² + b²?
  36. 36.A room is 5 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  37. 37.Solve: 9t + 11 = 5t + 67. What is t?
  38. 38.What is the value of 10⁵? =
  39. 39.What is 2³? =
  40. 40.Use (a − b)² = a² − 2ab + b² to find 88².

Answer key

  1. 27
  2. 1/25
  3. 4
  4. 48125
  5. 5776
  6. 96
  7. 361
  8. 5832
  9. 3844
  10. 14812
  11. 1100
  12. 80
  13. 57
  14. 54
  15. 5
  16. 14
  17. 5929
  18. 3364
  19. 18144
  20. 13
  21. 4
  22. 5/2
  23. 0.0008
  24. 25
  25. 51
  26. 45423
  27. 78
  28. 3481
  29. 6400
  30. 27
  31. 27783
  32. 7
  33. 15
  34. 15
  35. 20
  36. 80
  37. 14
  38. 100000
  39. 8
  40. 7744

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