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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 872 · 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.What is the value of 3⁹? =
  2. 2.The length of a rectangle is 10 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  3. 3.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  4. 4.A town has 38000 people. The population grows by 10% every year. What will the population be after 3 years?
  5. 5.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  6. 6.The length of a rectangle is 5 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  7. 7.What is √576? =
  8. 8.Which of these is a perfect square? (a) 196 (b) 204 (c) 198
  9. 9.What is 10³? =
  10. 10.What is √144? =
  11. 11.What is the value of (1/8)⁻²? =
  12. 12.A trapezium has an area of 60 square cm. Its parallel sides are 10 cm and 20 cm. What is the distance between them (in cm)?
  13. 13.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  14. 14.Use (a + b)(a − b) = a² − b² to find 51 × 49.
  15. 15.A cuboid is 4 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
  16. 16.Use (a + b)(a − b) = a² − b² to find 88 × 72.
  17. 17.Use (a + b)(a − b) = a² − b² to find 26 × 14.
  18. 18.What is the value of 2⁵? =
  19. 19.What is the difference between the compound interest and the simple interest on ₹37100 at 10% per year for 2 years (in ₹)?
  20. 20.What is 4³? =
  21. 21.A room is 10 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  22. 22.A room is 9 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  23. 23.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
  24. 24.What is ∛12167? =
  25. 25.A trapezium has parallel sides of 10 cm and 7 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  26. 26.The diagonals of a rhombus are 30 cm and 18 cm. What is its area (in square cm)?
  27. 27.What amount will ₹36900 grow to in 1 year at 10% per year compound interest (in ₹)?
  28. 28.What is √1024? =
  29. 29.A town has 42500 people. The population grows by 8% every year. What will the population be after 2 years?
  30. 30.What is the difference between the compound interest and the simple interest on ₹30800 at 5% per year for 2 years (in ₹)?
  31. 31.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  32. 32.The length of a rectangle is 8 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  33. 33.Solve: 3(p − 2) = p + 10. What is p?
  34. 34.What is 16²? =
  35. 35.What is the value of 7²? =
  36. 36.What is ∛343? =
  37. 37.If a − b = 2 and ab = 35, what is a² + b²?
  38. 38.Solve: 3(x − 1) = x + 11. What is x?
  39. 39.A cuboid is 12 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
  40. 40.What is the smallest whole number by which 686 must be multiplied to get a perfect square?

Answer key

  1. 19683
  2. 7
  3. 11
  4. 50578
  5. 2
  6. 16
  7. 24
  8. 196
  9. 1000
  10. 12
  11. 64
  12. 4
  13. 4
  14. 2499
  15. 360
  16. 6336
  17. 364
  18. 32
  19. 371
  20. 64
  21. 152
  22. 96
  23. 625
  24. 23
  25. 17
  26. 270
  27. 40590
  28. 32
  29. 49572
  30. 77
  31. 16
  32. 22
  33. 8
  34. 256
  35. 49
  36. 7
  37. 74
  38. 7
  39. 672
  40. 14

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