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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 909 · 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 big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  2. 2.Solve: p/4 + p/6 = 15. What is p?
  3. 3.Use a² − b² = (a + b)(a − b) to find 48² − 15².
  4. 4.A father is 4 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  5. 5.What is the value of 2⁵ × 2⁻¹? =
  6. 6.What is the smallest whole number by which 250 must be multiplied to get a perfect square?
  7. 7.A square garden has an area of 784 square m. How long is each side (in m)?
  8. 8.What is the smallest whole number by which 147 must be multiplied to get a perfect square?
  9. 9.What is the value of (1/8)⁻¹? =
  10. 10.3 × 10² =
  11. 11.What is the value of 5³ × 5⁻³? =
  12. 12.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  13. 13.Solve: 9x + 6 = 2x + 20. What is x?
  14. 14.Solve: 6n + 7 = 2n + 11. What is n?
  15. 15.The diagonals of a rhombus are 26 cm and 3 cm. What is its area (in square cm)?
  16. 16.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  17. 17.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  18. 18.Find the value of x² + 2xy + y² when x = 4 and y = 3.
  19. 19.A town has 16000 people. The population grows by 5% every year. What will the population be after 3 years?
  20. 20.Use (a − b)² = a² − 2ab + b² to find 91².
  21. 21.Use (a + b)(a − b) = a² − b² to find 79 × 61.
  22. 22.What is √3481? =
  23. 23.The diagonals of a rhombus are 4 cm and 27 cm. What is its area (in square cm)?
  24. 24.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  25. 25.A cuboid is 13 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
  26. 26.How many whole numbers lie between 6² and 7²?
  27. 27.Solve: 4n + 9 = 3n + 12. What is n?
  28. 28.Write 850 in standard form as 8.5 × 10ⁿ. What is n?
  29. 29.What is the difference between the compound interest and the simple interest on ₹32200 at 10% per year for 2 years (in ₹)?
  30. 30.The sum of four consecutive whole numbers is 238. What is the smallest of them?
  31. 31.What is the value of (1/8)⁻²? =
  32. 32.What is the value of 3⁵ × 3⁻²? =
  33. 33.A scooter is worth ₹17700. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
  34. 34.A father is 33 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  35. 35.A trapezium has parallel sides of 24 cm and 22 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  36. 36.Solve: 6(y − 2) = y + 3. What is y?
  37. 37.A cuboid is 12 cm long, 4 cm wide and 5 cm high. What is its total surface area (in square cm)?
  38. 38.Which of these is a perfect cube? (a) 32 (b) 39 (c) 27
  39. 39.What is the value of 2⁶? =
  40. 40.Write 8 × 10⁻² as a decimal. =

Answer key

  1. 64
  2. 36
  3. 2079
  4. 3
  5. 16
  6. 10
  7. 28
  8. 3
  9. 8
  10. 300
  11. 1
  12. 3
  13. 2
  14. 1
  15. 39
  16. 2400
  17. 10
  18. 49
  19. 18522
  20. 8281
  21. 4819
  22. 59
  23. 54
  24. 2
  25. 762
  26. 12
  27. 3
  28. 2
  29. 322
  30. 58
  31. 64
  32. 27
  33. 16815
  34. 7
  35. 184
  36. 3
  37. 256
  38. 27
  39. 64
  40. 0.08

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