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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 109 · 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.A town has 32000 people. The population grows by 15% every year. What will the population be after 3 years?
  2. 2.Write 5,60,000 in standard form as 5.6 × 10ⁿ. What is n?
  3. 3.Write 1.3 × 10⁻³ as a decimal. =
  4. 4.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  5. 5.What is the value of 8³? =
  6. 6.A trapezium has an area of 118 square cm. Its parallel sides are 30 cm and 29 cm. What is the distance between them (in cm)?
  7. 7.A room is 8 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  8. 8.If a − b = 2 and ab = 8, what is a² + b²?
  9. 9.Solve: 4n + 12 = 3n + 25. What is n?
  10. 10.What is the smallest whole number by which 1134 must be multiplied to get a perfect square?
  11. 11.If a − b = 7 and ab = 18, what is a² + b²?
  12. 12.A trapezium has an area of 208 square cm. Its parallel sides are 8 cm and 18 cm. What is the distance between them (in cm)?
  13. 13.Solve: n/3 + n/4 = 21. What is n?
  14. 14.What is the difference between the compound interest and the simple interest on ₹60000 at 12% per year for 2 years (in ₹)?
  15. 15.What is the value of (2/9)⁻²? =
  16. 16.What is √8100? =
  17. 17.What is 73²? =
  18. 18.What is the value of (2/3)⁻²? =
  19. 19.The sum of four consecutive whole numbers is 206. What is the largest of them?
  20. 20.Solve: 3(y − 4) = 2y + 10. What is y?
  21. 21.What is the value of 2⁴? =
  22. 22.The sum of three consecutive whole numbers is 99. What is the largest of them?
  23. 23.What is the difference between the compound interest and the simple interest on ₹9900 at 10% per year for 2 years (in ₹)?
  24. 24.Use (a + b)(a − b) = a² − b² to find 31 × 29.
  25. 25.A father is 30 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  26. 26.Solve: 3(p − 1) = 2p + 3. What is p?
  27. 27.What is √676? =
  28. 28.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  29. 29.What is the smallest whole number by which 486 must be multiplied to get a perfect square?
  30. 30.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
  31. 31.What is the value of 2⁻⁴ (as a fraction)? =
  32. 32.Solve: 4(n − 3) = n + 21. What is n?
  33. 33.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
  34. 34.What is the difference between the compound interest and the simple interest on ₹19500 at 20% per year for 2 years (in ₹)?
  35. 35.3.4 × 10⁴ =
  36. 36.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  37. 37.Write 9⁶ × 9² as a single power 9ⁿ. What is n?
  38. 38.What is the value of 10³? =
  39. 39.Write 8,900 in standard form as 8.9 × 10ⁿ. What is n?
  40. 40.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?

Answer key

  1. 48668
  2. 5
  3. 0.0013
  4. 9
  5. 512
  6. 4
  7. 72
  8. 20
  9. 13
  10. 14
  11. 85
  12. 16
  13. 36
  14. 864
  15. 81/4
  16. 90
  17. 5329
  18. 9/4
  19. 53
  20. 22
  21. 16
  22. 34
  23. 99
  24. 899
  25. 4
  26. 6
  27. 26
  28. 27
  29. 6
  30. 3
  31. 1/16
  32. 11
  33. 121
  34. 780
  35. 34000
  36. 24
  37. 8
  38. 1000
  39. 3
  40. 7

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