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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 151 · 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 total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  2. 2.What is 6³? =
  3. 3.The diagonals of a rhombus are 28 cm and 21 cm. What is its area (in square cm)?
  4. 4.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  5. 5.A scooter is worth ₹23200. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
  6. 6.Solve: y/2 + y/3 = 25. What is y?
  7. 7.A scooter is worth ₹42500. Its value falls by 4% every year. What will it be worth after 2 years (in ₹)?
  8. 8.Solve: 3(y − 1) = y + 23. What is y?
  9. 9.A trapezium has an area of 28 square cm. Its parallel sides are 22 cm and 6 cm. What is the distance between them (in cm)?
  10. 10.Solve: t/3 + t/4 = 42. What is t?
  11. 11.What is the value of (2/3)⁻¹? =
  12. 12.A scooter is worth ₹33100. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
  13. 13.Which of these is a perfect cube? (a) 2531 (b) 2441 (c) 2197
  14. 14.A trapezium has parallel sides of 25 cm and 4 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  15. 15.The sum of four consecutive whole numbers is 230. What is the largest of them?
  16. 16.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  17. 17.Find the value of x² + 2xy + y² when x = 13 and y = 1.
  18. 18.What amount will ₹48800 grow to in 2 years at 5% per year compound interest (in ₹)?
  19. 19.Which of these is a perfect square? (a) 227 (b) 242 (c) 225
  20. 20.Write 410 in standard form as 4.1 × 10ⁿ. What is n?
  21. 21.If a + b = 5 and ab = 6, what is a² + b²?
  22. 22.How many whole numbers lie between 17² and 18²?
  23. 23.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
  24. 24.A cuboid is 9 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  25. 25.A town has 34900 people. The population grows by 12% every year. What will the population be after 1 year?
  26. 26.Solve: x/3 + x/2 = 10. What is x?
  27. 27.The diagonals of a rhombus are 28 cm and 13 cm. What is its area (in square cm)?
  28. 28.What amount will ₹14800 grow to in 1 year at 12% per year compound interest (in ₹)?
  29. 29.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  30. 30.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  31. 31.Write (5⁶)² as a single power 5ⁿ. What is n?
  32. 32.What amount will ₹44600 grow to in 2 years at 10% per year compound interest (in ₹)?
  33. 33.A trapezium has parallel sides of 12 cm and 5 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  34. 34.Solve: p/2 + p/4 = 15. What is p?
  35. 35.What amount will ₹42400 grow to in 1 year at 10% per year compound interest (in ₹)?
  36. 36.What is the value of 8⁴? =
  37. 37.Use (a + b)(a − b) = a² − b² to find 34 × 26.
  38. 38.What is the value of 10⁵ × 10⁻⁵? =
  39. 39.A cuboid is 12 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  40. 40.What is the value of 2³? =

Answer key

  1. 12
  2. 216
  3. 294
  4. 2904
  5. 16762
  6. 30
  7. 39168
  8. 13
  9. 2
  10. 72
  11. 3/2
  12. 26811
  13. 2197
  14. 232
  15. 59
  16. 5
  17. 196
  18. 53802
  19. 225
  20. 2
  21. 13
  22. 34
  23. 100
  24. 202
  25. 39088
  26. 12
  27. 182
  28. 16576
  29. 96
  30. 600
  31. 12
  32. 53966
  33. 51
  34. 20
  35. 46640
  36. 4096
  37. 884
  38. 1
  39. 300
  40. 8

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