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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 624 · 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 diagonals of a rhombus are 8 cm and 14 cm. What is its area (in square cm)?
  2. 2.What is the value of 2¹⁶? =
  3. 3.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  4. 4.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  5. 5.Use (a + b)² = a² + 2ab + b² to find 103².
  6. 6.A room is 12 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  7. 7.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  8. 8.What is the smallest whole number by which 686 must be multiplied to get a perfect square?
  9. 9.What is the smallest whole number by which 176 must be multiplied to get a perfect square?
  10. 10.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  11. 11.A town has 42800 people. The population grows by 25% every year. What will the population be after 2 years?
  12. 12.Solve: t/3 + t/4 = 14. What is t?
  13. 13.Find the value of x² − 2xy + y² when x = 3 and y = 1.
  14. 14.What is the value of (1/7)⁻¹? =
  15. 15.Solve: m/2 + m/3 = 5. What is m?
  16. 16.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  17. 17.What is ∛729? =
  18. 18.How many whole numbers lie between 20² and 21²?
  19. 19.If a + b = 12 and ab = 35, what is a² + b²?
  20. 20.A trapezium has parallel sides of 17 cm and 28 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  21. 21.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  22. 22.Solve: 8n + 20 = n + 48. What is n?
  23. 23.Use (a + b)² = a² + 2ab + b² to find 84².
  24. 24.If a + b = 5 and ab = 4, what is a² + b²?
  25. 25.What is √5625? =
  26. 26.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  27. 27.What amount will ₹36000 grow to in 2 years at 15% per year compound interest (in ₹)?
  28. 28.4.4 × 10⁵ =
  29. 29.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  30. 30.Write 2,30,00,000 in standard form as 2.3 × 10ⁿ. What is n?
  31. 31.What is ∛4096? =
  32. 32.Find the compound interest on ₹12300 at 5% per year for 1 year, compounded every year (in ₹).
  33. 33.The length of a rectangle is 9 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  34. 34.8.4 × 10² =
  35. 35.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  36. 36.Find the compound interest on ₹55000 at 4% per year for 2 years, compounded every year (in ₹).
  37. 37.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  38. 38.A trapezium has parallel sides of 25 cm and 5 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  39. 39.Solve: 4(t − 5) = 2t + 12. What is t?
  40. 40.What is 65²? =

Answer key

  1. 56
  2. 65536
  3. 2
  4. 5
  5. 10609
  6. 210
  7. 1536
  8. 14
  9. 11
  10. 20
  11. 66875
  12. 24
  13. 4
  14. 7
  15. 6
  16. 4
  17. 9
  18. 40
  19. 74
  20. 315
  21. 64
  22. 4
  23. 7056
  24. 17
  25. 75
  26. 2
  27. 47610
  28. 440000
  29. 3750
  30. 7
  31. 16
  32. 615
  33. 28
  34. 840
  35. 24
  36. 4488
  37. 12
  38. 240
  39. 16
  40. 4225

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