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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 57 · 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.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  2. 2.What is the value of 2⁻⁷ (as a fraction)? =
  3. 3.6.7 × 10² =
  4. 4.Which of these is a perfect square? (a) 961 (b) 997 (c) 1009
  5. 5.Write (3⁵)⁸ as a single power 3ⁿ. What is n?
  6. 6.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  7. 7.Which of these is a perfect cube? (a) 35 (b) 38 (c) 27
  8. 8.Use (a − b)² = a² − 2ab + b² to find 98².
  9. 9.What is √5929? =
  10. 10.What is 42²? =
  11. 11.What is the smallest whole number by which 1053 must be divided to get a perfect square?
  12. 12.A trapezium has parallel sides of 5 cm and 11 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  13. 13.A father is 27 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?
  14. 14.How many whole numbers lie between 12² and 13²?
  15. 15.What amount will ₹39000 grow to in 3 years at 20% per year compound interest (in ₹)?
  16. 16.The sum of two consecutive whole numbers is 33. What is the smallest of them?
  17. 17.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  18. 18.Use a² − b² = (a + b)(a − b) to find 88² − 12².
  19. 19.What is the value of 10⁵? =
  20. 20.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  21. 21.Find the value of x² − y² when x = 3 and y = 2.
  22. 22.Use (a − b)² = a² − 2ab + b² to find 16².
  23. 23.Use (a − b)² = a² − 2ab + b² to find 91².
  24. 24.What is 17²? =
  25. 25.What is the value of 10⁻¹ (as a fraction)? =
  26. 26.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  27. 27.What is the smallest whole number by which 75 must be divided to get a perfect square?
  28. 28.What is 51²? =
  29. 29.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  30. 30.Use a² − b² = (a + b)(a − b) to find 74² − 63².
  31. 31.How many whole numbers lie between 5² and 6²?
  32. 32.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  33. 33.Write (9²)⁴ as a single power 9ⁿ. What is n?
  34. 34.Find the value of x² + 2xy + y² when x = 13 and y = 3.
  35. 35.Solve: 4(p − 2) = 3p + 1. What is p?
  36. 36.Which of these is a perfect square? (a) 900 (b) 920 (c) 922
  37. 37.What is √400? =
  38. 38.A room is 12 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  39. 39.Write 2,20,000 in standard form as 2.2 × 10ⁿ. What is n?
  40. 40.Use (a − b)² = a² − 2ab + b² to find 12².

Answer key

  1. 1536
  2. 1/128
  3. 670
  4. 961
  5. 40
  6. 54
  7. 27
  8. 9604
  9. 77
  10. 1764
  11. 13
  12. 48
  13. 7
  14. 24
  15. 67392
  16. 16
  17. 16
  18. 7600
  19. 100000
  20. 2646
  21. 5
  22. 256
  23. 8281
  24. 289
  25. 1/10
  26. 2
  27. 3
  28. 2601
  29. 15
  30. 1507
  31. 10
  32. 7
  33. 8
  34. 256
  35. 9
  36. 900
  37. 20
  38. 160
  39. 5
  40. 144

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