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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 479 · 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 length of a rectangle is 6 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  2. 2.What is 20³? =
  3. 3.Solve: 3(p − 5) = p + 23. What is p?
  4. 4.Solve: m/4 + m/6 = 35. What is m?
  5. 5.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  6. 6.A father is 24 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?
  7. 7.What is the value of 3² × 3⁻³? =
  8. 8.The length of a rectangle is 12 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  9. 9.9 × 10⁷ =
  10. 10.What is the value of 5⁵? =
  11. 11.What is the smallest whole number by which 52 must be divided to get a perfect square?
  12. 12.1.7 × 10⁵ =
  13. 13.A town has 52400 people. The population grows by 5% every year. What will the population be after 1 year?
  14. 14.What is the value of 5³ × 5⁻⁶? =
  15. 15.Write 25,000 in standard form as 2.5 × 10ⁿ. What is n?
  16. 16.What is the smallest whole number by which 28 must be multiplied to get a perfect square?
  17. 17.Find the value of x² − 2xy + y² when x = 14 and y = 6.
  18. 18.The diagonals of a rhombus are 6 cm and 3 cm. What is its area (in square cm)?
  19. 19.Use (a − b)² = a² − 2ab + b² to find 57².
  20. 20.What is the smallest whole number by which 1215 must be divided to get a perfect square?
  21. 21.Use (a + b)(a − b) = a² − b² to find 92 × 88.
  22. 22.Write 1.6 × 10⁻² as a decimal. =
  23. 23.What is √7921? =
  24. 24.Write 9³ × 9² as a single power 9ⁿ. What is n?
  25. 25.A trapezium has parallel sides of 6 cm and 8 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  26. 26.Solve: n/5 + n/4 = 18. What is n?
  27. 27.What is the value of 3⁴ × 3⁻¹? =
  28. 28.A room is 4 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  29. 29.What is the value of (3/5)⁻²? =
  30. 30.A trapezium has an area of 210 square cm. Its parallel sides are 24 cm and 11 cm. What is the distance between them (in cm)?
  31. 31.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  32. 32.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  33. 33.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  34. 34.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  35. 35.Use a² − b² = (a + b)(a − b) to find 25² − 4².
  36. 36.What is ∛15625? =
  37. 37.A trapezium has an area of 40 square cm. Its parallel sides are 16 cm and 24 cm. What is the distance between them (in cm)?
  38. 38.What is the value of 6⁵? =
  39. 39.A town has 46900 people. The population grows by 8% every year. What will the population be after 1 year?
  40. 40.What is 9³? =

Answer key

  1. 24
  2. 8000
  3. 19
  4. 84
  5. 27
  6. 4
  7. 1/3
  8. 9
  9. 90000000
  10. 3125
  11. 13
  12. 170000
  13. 55020
  14. 1/125
  15. 4
  16. 7
  17. 64
  18. 9
  19. 3249
  20. 15
  21. 8096
  22. 0.016
  23. 89
  24. 5
  25. 14
  26. 40
  27. 27
  28. 130
  29. 25/9
  30. 12
  31. 20
  32. 10
  33. 7
  34. 1014
  35. 609
  36. 25
  37. 2
  38. 7776
  39. 50652
  40. 729

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