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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 98 · 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.What is √2500? =
  2. 2.What is the value of 3³ × 3⁻⁴? =
  3. 3.What is ∛2744? =
  4. 4.Use a² − b² = (a + b)(a − b) to find 92² − 53².
  5. 5.A cuboid is 6 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
  6. 6.A cuboid is 9 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  7. 7.A trapezium has an area of 88 square cm. Its parallel sides are 27 cm and 17 cm. What is the distance between them (in cm)?
  8. 8.What is 6³? =
  9. 9.A square garden has an area of 289 square m. How long is each side (in m)?
  10. 10.A cuboid is 7 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  11. 11.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.What is 5³? =
  13. 13.A trapezium has an area of 174 square cm. Its parallel sides are 22 cm and 7 cm. What is the distance between them (in cm)?
  14. 14.The sum of two consecutive whole numbers is 81. What is the smallest of them?
  15. 15.What is the value of (4/9)⁻¹? =
  16. 16.What is the value of 10³ × 10⁻¹? =
  17. 17.Write (2⁴)⁹ as a single power 2ⁿ. What is n?
  18. 18.Find the compound interest on ₹14400 at 10% per year for 1 year, compounded every year (in ₹).
  19. 19.Solve: 6(x − 1) = 5x + 1. What is x?
  20. 20.The sum of four consecutive whole numbers is 234. What is the smallest of them?
  21. 21.A cuboid is 8 cm long, 4 cm wide and 5 cm high. What is its total surface area (in square cm)?
  22. 22.A father is 27 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  23. 23.Write 8.2 × 10⁻¹ as a decimal. =
  24. 24.What amount will ₹24600 grow to in 1 year at 5% per year compound interest (in ₹)?
  25. 25.Use a² − b² = (a + b)(a − b) to find 31² − 23².
  26. 26.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  27. 27.The length of a rectangle is 11 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  28. 28.The length of a rectangle is 11 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  29. 29.Solve: y/4 + y/2 = 6. What is y?
  30. 30.A room is 3 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  31. 31.Which of these is a perfect square? (a) 243 (b) 225 (c) 236
  32. 32.A town has 28000 people. The population grows by 10% every year. What will the population be after 3 years?
  33. 33.Solve: 6(m − 1) = 5m + 7. What is m?
  34. 34.Which of these is a perfect square? (a) 165 (b) 144 (c) 145
  35. 35.What is the value of 3⁻⁶ (as a fraction)? =
  36. 36.Use a² − b² = (a + b)(a − b) to find 41² − 32².
  37. 37.Find the value of x² − 2xy + y² when x = 7 and y = 1.
  38. 38.If a + b = 7 and ab = 6, what is a² + b²?
  39. 39.Use (a − b)² = a² − 2ab + b² to find 65².
  40. 40.Write 9.7 × 10⁻³ as a decimal. =

Answer key

  1. 50
  2. 1/3
  3. 14
  4. 5655
  5. 184
  6. 332
  7. 4
  8. 216
  9. 17
  10. 64
  11. 27
  12. 125
  13. 12
  14. 40
  15. 9/4
  16. 100
  17. 36
  18. 1440
  19. 7
  20. 57
  21. 184
  22. 6
  23. 0.82
  24. 25830
  25. 432
  26. 5
  27. 7
  28. 18
  29. 8
  30. 48
  31. 225
  32. 37268
  33. 13
  34. 144
  35. 1/729
  36. 657
  37. 36
  38. 37
  39. 4225
  40. 0.0097

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