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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 415 · 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 square garden has an area of 100 square m. How long is each side (in m)?
  2. 2.Use (a + b)² = a² + 2ab + b² to find 106².
  3. 3.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  4. 4.Solve: 4t + 11 = 3t + 13. What is t?
  5. 5.A trapezium has an area of 370 square cm. Its parallel sides are 16 cm and 21 cm. What is the distance between them (in cm)?
  6. 6.Use a² − b² = (a + b)(a − b) to find 26² − 16².
  7. 7.If a − b = 1 and ab = 12, what is a² + b²?
  8. 8.How many whole numbers lie between 37² and 38²?
  9. 9.What is the value of (2/7)⁻¹? =
  10. 10.What is √1156? =
  11. 11.1.5 × 10³ =
  12. 12.A trapezium has parallel sides of 6 cm and 4 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  13. 13.A trapezium has an area of 62 square cm. Its parallel sides are 9 cm and 22 cm. What is the distance between them (in cm)?
  14. 14.What is the smallest whole number by which 98 must be multiplied to get a perfect square?
  15. 15.What is 8³? =
  16. 16.What is ∛216? =
  17. 17.A trapezium has an area of 217 square cm. Its parallel sides are 12 cm and 19 cm. What is the distance between them (in cm)?
  18. 18.Solve: 3(t − 1) = 2t + 9. What is t?
  19. 19.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  20. 20.A trapezium has parallel sides of 8 cm and 11 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  21. 21.Write 9.8 × 10⁻² as a decimal. =
  22. 22.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  24. 24.Which of these is a perfect cube? (a) 200 (b) 161 (c) 125
  25. 25.Solve: 6(p − 1) = 3p + 27. What is p?
  26. 26.7.5 × 10⁶ =
  27. 27.What is 11³? =
  28. 28.The diagonals of a rhombus are 10 cm and 24 cm. What is its area (in square cm)?
  29. 29.A town has 12400 people. The population grows by 5% every year. What will the population be after 2 years?
  30. 30.What is √5776? =
  31. 31.9.7 × 10⁶ =
  32. 32.If a + b = 9 and ab = 8, what is a² + b²?
  33. 33.A father is 21 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  34. 34.Find the value of x² − 2xy + y² when x = 9 and y = 3.
  35. 35.A cuboid is 3 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
  36. 36.A trapezium has parallel sides of 30 cm and 4 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  37. 37.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  38. 38.If a − b = 1 and ab = 6, what is a² + b²?
  39. 39.What is the value of (5/9)⁻²? =
  40. 40.A cuboid is 6 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?

Answer key

  1. 10
  2. 11236
  3. 49
  4. 2
  5. 20
  6. 420
  7. 25
  8. 74
  9. 7/2
  10. 34
  11. 1500
  12. 30
  13. 4
  14. 2
  15. 512
  16. 6
  17. 14
  18. 12
  19. 5
  20. 114
  21. 0.098
  22. 27
  23. 10
  24. 125
  25. 11
  26. 7500000
  27. 1331
  28. 120
  29. 13671
  30. 76
  31. 9700000
  32. 65
  33. 2
  34. 36
  35. 132
  36. 85
  37. 5
  38. 13
  39. 81/25
  40. 288

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