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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 18 · 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.Find the value of x² + 2xy + y² when x = 3 and y = 2.
  2. 2.Solve: 3p + 10 = p + 18. What is p?
  3. 3.Which of these is a perfect square? (a) 742 (b) 771 (c) 729
  4. 4.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.How many whole numbers lie between 7² and 8²?
  6. 6.Write 4.7 × 10⁻² as a decimal. =
  7. 7.Write 2¹⁷ ÷ 2⁹ as a single power 2ⁿ. What is n?
  8. 8.Use (a + b)² = a² + 2ab + b² to find 15².
  9. 9.A room is 10 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  10. 10.The length of a rectangle is 1 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  11. 11.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  12. 12.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  13. 13.The sum of two consecutive whole numbers is 19. What is the largest of them?
  14. 14.How many whole numbers lie between 27² and 28²?
  15. 15.Use (a + b)(a − b) = a² − b² to find 41 × 39.
  16. 16.A town has 17200 people. The population grows by 25% every year. What will the population be after 2 years?
  17. 17.Use (a − b)² = a² − 2ab + b² to find 42².
  18. 18.What is the smallest whole number by which 1215 must be multiplied to get a perfect square?
  19. 19.What is the value of 4³? =
  20. 20.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  21. 21.Use (a + b)² = a² + 2ab + b² to find 33².
  22. 22.What is 93²? =
  23. 23.What is √7569? =
  24. 24.A father is 28 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  25. 25.Use a² − b² = (a + b)(a − b) to find 41² − 15².
  26. 26.The length of a rectangle is 3 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  27. 27.What is the value of 3⁶ × 3⁻⁶? =
  28. 28.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  29. 29.Write 3.4 × 10⁻¹ as a decimal. =
  30. 30.What is the value of 10⁶ × 10⁻⁴? =
  31. 31.The sum of two consecutive whole numbers is 15. What is the smallest of them?
  32. 32.A square garden has an area of 144 square m. How long is each side (in m)?
  33. 33.Write (7²)⁶ as a single power 7ⁿ. What is n?
  34. 34.The length of a rectangle is 4 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  35. 35.A square garden has an area of 1024 square m. How long is each side (in m)?
  36. 36.What is √400? =
  37. 37.What is the value of (3/7)⁻¹? =
  38. 38.The diagonals of a rhombus are 22 cm and 27 cm. What is its area (in square cm)?
  39. 39.The diagonals of a rhombus are 26 cm and 14 cm. What is its area (in square cm)?
  40. 40.Write 2³ × 2² as a single power 2ⁿ. What is n?

Answer key

  1. 25
  2. 4
  3. 729
  4. 27
  5. 14
  6. 0.047
  7. 8
  8. 225
  9. 108
  10. 9
  11. 20
  12. 27
  13. 10
  14. 54
  15. 1599
  16. 26875
  17. 1764
  18. 15
  19. 64
  20. 8
  21. 1089
  22. 8649
  23. 87
  24. 10
  25. 1456
  26. 10
  27. 1
  28. 6
  29. 0.34
  30. 100
  31. 7
  32. 12
  33. 12
  34. 3
  35. 32
  36. 20
  37. 7/3
  38. 297
  39. 182
  40. 5

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