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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 167 · 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.Solve: 9m + 5 = 8m + 6. What is m?
  2. 2.A trapezium has an area of 24 square cm. Its parallel sides are 6 cm and 18 cm. What is the distance between them (in cm)?
  3. 3.Solve: 4y + 15 = 2y + 37. What is y?
  4. 4.What is ∛1331? =
  5. 5.Use (a − b)² = a² − 2ab + b² to find 32².
  6. 6.The diagonals of a rhombus are 12 cm and 13 cm. What is its area (in square cm)?
  7. 7.What is √324? =
  8. 8.Find the value of x² + 2xy + y² when x = 7 and y = 6.
  9. 9.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  10. 10.Solve: 5(m − 1) = 2m + 4. What is m?
  11. 11.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
  12. 12.A trapezium has parallel sides of 25 cm and 3 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  13. 13.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  14. 14.What is the value of 10⁶ × 10⁻²? =
  15. 15.What amount will ₹55200 grow to in 1 year at 8% per year compound interest (in ₹)?
  16. 16.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  17. 17.A father is 32 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  18. 18.What is √6084? =
  19. 19.Write 1.1 × 10⁻⁴ as a decimal. =
  20. 20.What is 7³? =
  21. 21.What is √4900? =
  22. 22.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  23. 23.Use (a − b)² = a² − 2ab + b² to find 56².
  24. 24.Solve: 8t + 14 = t + 70. What is t?
  25. 25.A trapezium has parallel sides of 24 cm and 17 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  26. 26.Write (9²)³ as a single power 9ⁿ. What is n?
  27. 27.A cuboid is 9 cm long, 9 cm wide and 10 cm high. What is its total surface area (in square cm)?
  28. 28.A trapezium has parallel sides of 12 cm and 11 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  29. 29.Use a² − b² = (a + b)(a − b) to find 28² − 19².
  30. 30.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
  31. 31.If a + b = 19 and ab = 90, what is a² + b²?
  32. 32.Use (a − b)² = a² − 2ab + b² to find 72².
  33. 33.Solve: 5(x − 2) = x + 10. What is x?
  34. 34.What is the value of 6⁻³ (as a fraction)? =
  35. 35.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  36. 36.Find the value of x² − 2xy + y² when x = 3 and y = 1.
  37. 37.Use (a + b)² = a² + 2ab + b² to find 54².
  38. 38.Write 8.8 × 10⁻⁴ as a decimal. =
  39. 39.What is the value of (4/9)⁻¹? =
  40. 40.Use (a − b)² = a² − 2ab + b² to find 74².

Answer key

  1. 1
  2. 2
  3. 11
  4. 11
  5. 1024
  6. 78
  7. 18
  8. 169
  9. 19
  10. 3
  11. 64
  12. 196
  13. 64
  14. 10000
  15. 59616
  16. 15
  17. 11
  18. 78
  19. 0.00011
  20. 343
  21. 70
  22. 1944
  23. 3136
  24. 8
  25. 123
  26. 6
  27. 522
  28. 46
  29. 423
  30. 100
  31. 181
  32. 5184
  33. 5
  34. 1/216
  35. 9
  36. 4
  37. 2916
  38. 0.00088
  39. 9/4
  40. 5476

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