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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 108 · 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 cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  2. 2.Which of these is a perfect cube? (a) 88 (b) 66 (c) 64
  3. 3.What is the value of 2² × 2⁻⁶? =
  4. 4.Find the value of x² − y² when x = 5 and y = 1.
  5. 5.What is the value of 4⁵? =
  6. 6.Use (a − b)² = a² − 2ab + b² to find 36².
  7. 7.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  8. 8.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  9. 9.Write 5¹⁴ ÷ 5⁵ as a single power 5ⁿ. What is n?
  10. 10.Which of these is a perfect cube? (a) 3375 (b) 3562 (c) 3547
  11. 11.Write 5⁹ ÷ 5³ as a single power 5ⁿ. What is n?
  12. 12.What is the smallest whole number by which 60 must be divided to get a perfect square?
  13. 13.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  14. 14.The length of a rectangle is 3 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  15. 15.Which of these is a perfect square? (a) 1552 (b) 1572 (c) 1521
  16. 16.What is 49²? =
  17. 17.A room is 6 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  18. 18.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  19. 19.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
  20. 20.Use (a + b)² = a² + 2ab + b² to find 29².
  21. 21.Write 110 in standard form as 1.1 × 10ⁿ. What is n?
  22. 22.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  23. 23.Solve: 9x + 20 = x + 68. What is x?
  24. 24.Solve: x/2 + x/4 = 24. What is x?
  25. 25.A town has 22900 people. The population grows by 20% every year. What will the population be after 1 year?
  26. 26.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?
  27. 27.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  28. 28.What is √5476? =
  29. 29.A trapezium has an area of 14 square cm. Its parallel sides are 6 cm and 8 cm. What is the distance between them (in cm)?
  30. 30.What amount will ₹3500 grow to in 1 year at 4% per year compound interest (in ₹)?
  31. 31.What is the smallest whole number by which 147 must be multiplied to get a perfect square?
  32. 32.Solve: 5y + 17 = 4y + 28. What is y?
  33. 33.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  34. 34.Use a² − b² = (a + b)(a − b) to find 87² − 14².
  35. 35.What is ∛12167? =
  36. 36.If a − b = 11 and ab = 12, what is a² + b²?
  37. 37.What is the value of 5⁴ × 5⁻⁴? =
  38. 38.What amount will ₹15100 grow to in 2 years at 20% per year compound interest (in ₹)?
  39. 39.A trapezium has parallel sides of 22 cm and 5 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  40. 40.Solve: 5(t − 3) = 3t + 17. What is t?

Answer key

  1. 4
  2. 64
  3. 1/16
  4. 24
  5. 1024
  6. 1296
  7. 384
  8. 96
  9. 9
  10. 3375
  11. 6
  12. 15
  13. 864
  14. 19
  15. 1521
  16. 2401
  17. 72
  18. 27
  19. 36
  20. 841
  21. 2
  22. 4
  23. 6
  24. 32
  25. 27480
  26. 400
  27. 12
  28. 74
  29. 2
  30. 3640
  31. 3
  32. 11
  33. 5
  34. 7373
  35. 23
  36. 145
  37. 1
  38. 21744
  39. 162
  40. 16

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