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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 171 · 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.The sum of three consecutive whole numbers is 63. What is the smallest of them?
  2. 2.Use (a − b)² = a² − 2ab + b² to find 82².
  3. 3.What amount will ₹48700 grow to in 1 year at 25% per year compound interest (in ₹)?
  4. 4.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.How many whole numbers lie between 10² and 11²?
  6. 6.What is ∛4913? =
  7. 7.Solve: 4(x − 1) = x + 23. What is x?
  8. 8.Write 9⁷ ÷ 9⁵ as a single power 9ⁿ. What is n?
  9. 9.Which of these is a perfect square? (a) 357 (b) 324 (c) 358
  10. 10.The length of a rectangle is 2 cm more than its width. Its perimeter is 12 cm. What is its width (in cm)?
  11. 11.What is the difference between the compound interest and the simple interest on ₹16800 at 5% per year for 2 years (in ₹)?
  12. 12.What is √1225? =
  13. 13.Use (a − b)² = a² − 2ab + b² to find 47².
  14. 14.What is ∛216? =
  15. 15.Write (7⁴)⁹ as a single power 7ⁿ. What is n?
  16. 16.Write 2.8 × 10⁻¹ as a decimal. =
  17. 17.A trapezium has an area of 170 square cm. Its parallel sides are 9 cm and 11 cm. What is the distance between them (in cm)?
  18. 18.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  19. 19.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
  20. 20.The diagonals of a rhombus are 30 cm and 5 cm. What is its area (in square cm)?
  21. 21.A father is 8 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  22. 22.Find the value of x² − y² when x = 8 and y = 1.
  23. 23.What is the difference between the compound interest and the simple interest on ₹55200 at 15% per year for 2 years (in ₹)?
  24. 24.What is the value of 5²? =
  25. 25.Write 7.8 × 10⁻² as a decimal. =
  26. 26.A cuboid is 4 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
  27. 27.Write 9.2 × 10⁻⁴ as a decimal. =
  28. 28.A room is 7 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  29. 29.What is √1024? =
  30. 30.What is √144? =
  31. 31.What is the smallest whole number by which 1134 must be divided to get a perfect square?
  32. 32.What is the value of 6⁶? =
  33. 33.What is ∛10648? =
  34. 34.What is the value of 3⁻¹ (as a fraction)? =
  35. 35.A room is 4 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  36. 36.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  37. 37.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  38. 38.What is the smallest whole number by which 320 must be multiplied to get a perfect square?
  39. 39.The sum of four consecutive whole numbers is 70. What is the smallest of them?
  40. 40.Solve: 6n + 10 = n + 15. What is n?

Answer key

  1. 20
  2. 6724
  3. 60875
  4. 27
  5. 20
  6. 17
  7. 9
  8. 2
  9. 324
  10. 2
  11. 42
  12. 35
  13. 2209
  14. 6
  15. 36
  16. 0.28
  17. 17
  18. 4
  19. 625
  20. 75
  21. 5
  22. 63
  23. 1242
  24. 25
  25. 0.078
  26. 254
  27. 0.00092
  28. 120
  29. 32
  30. 12
  31. 14
  32. 46656
  33. 22
  34. 1/3
  35. 56
  36. 600
  37. 1014
  38. 5
  39. 16
  40. 1

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