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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 471 · 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: 5(y − 4) = y + 40. What is y?
  2. 2.If a + b = 10 and ab = 9, what is a² + b²?
  3. 3.The length of a rectangle is 11 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  4. 4.What is ∛512? =
  5. 5.How many whole numbers lie between 34² and 35²?
  6. 6.What is the value of 2¹ × 2⁻²? =
  7. 7.If a + b = 13 and ab = 12, what is a² + b²?
  8. 8.Which of these is a perfect cube? (a) 1728 (b) 1801 (c) 1804
  9. 9.Write 2.7 × 10⁻³ as a decimal. =
  10. 10.Solve: 4(n − 3) = n + 27. What is n?
  11. 11.A trapezium has parallel sides of 29 cm and 7 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  12. 12.What is the difference between the compound interest and the simple interest on ₹51600 at 25% per year for 2 years (in ₹)?
  13. 13.What amount will ₹54900 grow to in 1 year at 5% per year compound interest (in ₹)?
  14. 14.What is the value of 2² × 2⁻³? =
  15. 15.A square garden has an area of 2916 square m. How long is each side (in m)?
  16. 16.A square garden has an area of 3025 square m. How long is each side (in m)?
  17. 17.What is √4900? =
  18. 18.Solve: p/5 + p/3 = 24. What is p?
  19. 19.What is the difference between the compound interest and the simple interest on ₹10000 at 12% per year for 2 years (in ₹)?
  20. 20.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
  21. 21.Write 2,10,00,000 in standard form as 2.1 × 10ⁿ. What is n?
  22. 22.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  23. 23.Use (a + b)(a − b) = a² − b² to find 57 × 43.
  24. 24.Find the compound interest on ₹52500 at 8% per year for 2 years, compounded every year (in ₹).
  25. 25.What amount will ₹6000 grow to in 1 year at 20% per year compound interest (in ₹)?
  26. 26.Find the value of x² + 2xy + y² when x = 6 and y = 5.
  27. 27.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  28. 28.Use (a + b)² = a² + 2ab + b² to find 15².
  29. 29.What is the value of 2¹²? =
  30. 30.Use (a − b)² = a² − 2ab + b² to find 36².
  31. 31.What is the value of 2²? =
  32. 32.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  33. 33.Use (a + b)² = a² + 2ab + b² to find 66².
  34. 34.A room is 3 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  35. 35.If a + b = 13 and ab = 30, what is a² + b²?
  36. 36.What is 11²? =
  37. 37.A father is 11 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  38. 38.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  39. 39.Which of these is a perfect cube? (a) 45 (b) 27 (c) 40
  40. 40.Solve: 3(n − 2) = n + 8. What is n?

Answer key

  1. 15
  2. 82
  3. 2
  4. 8
  5. 68
  6. 1/2
  7. 145
  8. 1728
  9. 0.0027
  10. 13
  11. 360
  12. 3225
  13. 57645
  14. 1/2
  15. 54
  16. 55
  17. 70
  18. 45
  19. 144
  20. 64
  21. 7
  22. 1536
  23. 2451
  24. 8736
  25. 7200
  26. 121
  27. 13
  28. 225
  29. 4096
  30. 1296
  31. 4
  32. 8
  33. 4356
  34. 48
  35. 109
  36. 121
  37. 6
  38. 216
  39. 27
  40. 7

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