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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 958 · 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: p/4 + p/3 = 21. What is p?
  2. 2.Solve: 3n + 4 = n + 20. What is n?
  3. 3.Solve: 6(x − 4) = 4x + 10. What is x?
  4. 4.Solve: x/2 + x/3 = 40. What is x?
  5. 5.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  6. 6.A room is 11 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  7. 7.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  8. 8.Solve: 9x + 12 = x + 108. What is x?
  9. 9.Find the value of x² − 2xy + y² when x = 6 and y = 3.
  10. 10.What is the value of 2⁻⁷ (as a fraction)? =
  11. 11.Find the compound interest on ₹40000 at 5% per year for 3 years, compounded every year (in ₹).
  12. 12.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  13. 13.What is 4³? =
  14. 14.The sum of four consecutive whole numbers is 166. What is the largest of them?
  15. 15.What is the value of (2/5)⁻¹? =
  16. 16.What is the difference between the compound interest and the simple interest on ₹10000 at 12% per year for 2 years (in ₹)?
  17. 17.A square garden has an area of 1764 square m. How long is each side (in m)?
  18. 18.The length of a rectangle is 10 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  19. 19.Which of these is a perfect cube? (a) 2253 (b) 2197 (c) 2471
  20. 20.A father is 12 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  21. 21.What is ∛125? =
  22. 22.What amount will ₹54200 grow to in 1 year at 10% per year compound interest (in ₹)?
  23. 23.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  24. 24.A square garden has an area of 100 square m. How long is each side (in m)?
  25. 25.A room is 7 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  26. 26.A trapezium has parallel sides of 23 cm and 9 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  27. 27.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.How many whole numbers lie between 20² and 21²?
  29. 29.Which of these is a perfect cube? (a) 229 (b) 262 (c) 216
  30. 30.Solve: m/4 + m/6 = 10. What is m?
  31. 31.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  32. 32.Find the compound interest on ₹36800 at 25% per year for 3 years, compounded every year (in ₹).
  33. 33.Use (a − b)² = a² − 2ab + b² to find 19².
  34. 34.What is √9025? =
  35. 35.How many whole numbers lie between 29² and 30²?
  36. 36.A scooter is worth ₹20800. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
  37. 37.A cuboid is 14 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
  38. 38.A room is 9 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  39. 39.What is √196? =
  40. 40.A square garden has an area of 2916 square m. How long is each side (in m)?

Answer key

  1. 36
  2. 8
  3. 17
  4. 48
  5. 3
  6. 144
  7. 3
  8. 12
  9. 9
  10. 1/128
  11. 6305
  12. 600
  13. 64
  14. 43
  15. 5/2
  16. 144
  17. 42
  18. 12
  19. 2197
  20. 4
  21. 5
  22. 59620
  23. 2
  24. 10
  25. 170
  26. 64
  27. 125
  28. 40
  29. 216
  30. 24
  31. 2
  32. 35075
  33. 361
  34. 95
  35. 58
  36. 13312
  37. 330
  38. 104
  39. 14
  40. 54

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