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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 971 · 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 trapezium has parallel sides of 24 cm and 28 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  2. 2.The sum of three consecutive whole numbers is 81. What is the largest of them?
  3. 3.How many whole numbers lie between 6² and 7²?
  4. 4.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.Use a² − b² = (a + b)(a − b) to find 41² − 33².
  7. 7.A town has 3600 people. The population grows by 25% every year. What will the population be after 2 years?
  8. 8.What is the smallest whole number by which 245 must be multiplied to get a perfect square?
  9. 9.A trapezium has an area of 200 square cm. Its parallel sides are 19 cm and 6 cm. What is the distance between them (in cm)?
  10. 10.What is the value of (5/8)⁻²? =
  11. 11.What is the value of 8⁻¹ (as a fraction)? =
  12. 12.Solve: 5(m − 1) = 3m + 13. What is m?
  13. 13.How many whole numbers lie between 50² and 51²?
  14. 14.Use (a + b)² = a² + 2ab + b² to find 34².
  15. 15.What is the value of 5⁴? =
  16. 16.The diagonals of a rhombus are 20 cm and 4 cm. What is its area (in square cm)?
  17. 17.A cuboid is 6 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
  18. 18.Use a² − b² = (a + b)(a − b) to find 45² − 15².
  19. 19.A scooter is worth ₹4700. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
  20. 20.What is the value of (2/7)⁻¹? =
  21. 21.Use (a + b)(a − b) = a² − b² to find 69 × 51.
  22. 22.4.9 × 10³ =
  23. 23.What is ∛6859? =
  24. 24.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  25. 25.9.7 × 10⁶ =
  26. 26.How many whole numbers lie between 26² and 27²?
  27. 27.A trapezium has parallel sides of 23 cm and 22 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  28. 28.Find the value of x² + 2xy + y² when x = 4 and y = 1.
  29. 29.The diagonals of a rhombus are 20 cm and 25 cm. What is its area (in square cm)?
  30. 30.What is the value of 6⁻² (as a fraction)? =
  31. 31.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  32. 32.Write 9,20,000 in standard form as 9.2 × 10ⁿ. What is n?
  33. 33.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  34. 34.What is 20³? =
  35. 35.Solve: n/2 + n/5 = 42. What is n?
  36. 36.What is the value of 2⁶ × 2⁻⁴? =
  37. 37.A trapezium has parallel sides of 27 cm and 3 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  38. 38.What is the smallest whole number by which 208 must be multiplied to get a perfect square?
  39. 39.What is √225? =
  40. 40.Write 6,80,000 in standard form as 6.8 × 10ⁿ. What is n?

Answer key

  1. 130
  2. 28
  3. 12
  4. 125
  5. 125
  6. 592
  7. 5625
  8. 5
  9. 16
  10. 64/25
  11. 1/8
  12. 9
  13. 100
  14. 1156
  15. 625
  16. 40
  17. 168
  18. 1800
  19. 4512
  20. 7/2
  21. 3519
  22. 4900
  23. 19
  24. 8
  25. 9700000
  26. 52
  27. 180
  28. 25
  29. 250
  30. 1/36
  31. 49
  32. 5
  33. 19
  34. 8000
  35. 60
  36. 4
  37. 180
  38. 13
  39. 15
  40. 5

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