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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 153 · 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.Solve: 5(x − 3) = x + 5. What is x?
  2. 2.How many whole numbers lie between 31² and 32²?
  3. 3.A scooter is worth ₹32400. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
  4. 4.What is the smallest whole number by which 40 must be divided to get a perfect square?
  5. 5.What is the smallest whole number by which 384 must be multiplied to get a perfect square?
  6. 6.The length of a rectangle is 10 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  7. 7.What is the value of 2¹⁰? =
  8. 8.A room is 3 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  9. 9.The diagonals of a rhombus are 8 cm and 4 cm. What is its area (in square cm)?
  10. 10.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  11. 11.What is 9³? =
  12. 12.Use a² − b² = (a + b)(a − b) to find 95² − 73².
  13. 13.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  14. 14.A square garden has an area of 2500 square m. How long is each side (in m)?
  15. 15.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
  16. 16.2.6 × 10³ =
  17. 17.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
  18. 18.If a − b = 7 and ab = 30, what is a² + b²?
  19. 19.A cuboid is 4 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  20. 20.Solve: 8n + 3 = n + 24. What is n?
  21. 21.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  22. 22.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  23. 23.A cuboid is 12 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  24. 24.The sum of four consecutive whole numbers is 218. What is the smallest of them?
  25. 25.A room is 5 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  26. 26.A cuboid is 4 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
  27. 27.What is the value of 5¹ × 5⁻³? =
  28. 28.Find the value of x² + 2xy + y² when x = 13 and y = 9.
  29. 29.What is the value of 2¹²? =
  30. 30.What is the value of 5⁵ × 5⁻⁴? =
  31. 31.The sum of three consecutive whole numbers is 51. What is the smallest of them?
  32. 32.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  33. 33.A cuboid is 13 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
  34. 34.How many whole numbers lie between 6² and 7²?
  35. 35.What is 95²? =
  36. 36.Use a² − b² = (a + b)(a − b) to find 99² − 28².
  37. 37.What is the smallest whole number by which 96 must be divided to get a perfect square?
  38. 38.What is 52²? =
  39. 39.Solve: 4(m − 2) = 3m + 1. What is m?
  40. 40.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?

Answer key

  1. 5
  2. 62
  3. 23409
  4. 10
  5. 6
  6. 9
  7. 1024
  8. 130
  9. 16
  10. 18
  11. 729
  12. 3696
  13. 11
  14. 50
  15. 169
  16. 2600
  17. 441
  18. 109
  19. 96
  20. 3
  21. 7
  22. 15
  23. 104
  24. 53
  25. 80
  26. 328
  27. 1/25
  28. 484
  29. 4096
  30. 5
  31. 16
  32. 25
  33. 334
  34. 12
  35. 9025
  36. 9017
  37. 6
  38. 2704
  39. 9
  40. 100

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