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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 748 · 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 13600 people. The population grows by 5% every year. What will the population be after 1 year?
  2. 2.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  3. 3.What is the smallest whole number by which 99 must be multiplied to get a perfect square?
  4. 4.Solve: 8t + 7 = 3t + 67. What is t?
  5. 5.What is the value of 10⁻¹ (as a fraction)? =
  6. 6.Which of these is a perfect cube? (a) 153 (b) 158 (c) 125
  7. 7.What amount will ₹15000 grow to in 2 years at 12% per year compound interest (in ₹)?
  8. 8.A room is 5 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  9. 9.Write 5¹⁰ ÷ 5² as a single power 5ⁿ. What is n?
  10. 10.What is the value of 10⁶ × 10⁻⁶? =
  11. 11.Find the compound interest on ₹8000 at 5% per year for 3 years, compounded every year (in ₹).
  12. 12.What is the value of 3¹⁰? =
  13. 13.Write (8⁶)⁷ as a single power 8ⁿ. What is n?
  14. 14.A cuboid is 5 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
  15. 15.Solve: 9y + 1 = 8y + 5. What is y?
  16. 16.Solve: 3t + 1 = t + 25. What is t?
  17. 17.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  18. 18.The length of a rectangle is 11 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  19. 19.A cuboid is 10 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
  20. 20.What is ∛4913? =
  21. 21.What amount will ₹30800 grow to in 2 years at 25% per year compound interest (in ₹)?
  22. 22.The length of a rectangle is 9 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  23. 23.The diagonals of a rhombus are 24 cm and 11 cm. What is its area (in square cm)?
  24. 24.Solve: 3(y − 3) = 2y + 4. What is y?
  25. 25.The diagonals of a rhombus are 14 cm and 8 cm. What is its area (in square cm)?
  26. 26.What is the smallest whole number by which 96 must be multiplied to get a perfect square?
  27. 27.A scooter is worth ₹10300. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
  28. 28.Solve: x/5 + x/4 = 27. What is x?
  29. 29.A father is 36 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  30. 30.What is 12²? =
  31. 31.Which of these is a perfect square? (a) 1494 (b) 1451 (c) 1444
  32. 32.Write 2.3 × 10⁻¹ as a decimal. =
  33. 33.What is √1225? =
  34. 34.The length of a rectangle is 1 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  35. 35.1.3 × 10⁴ =
  36. 36.What is the value of 3² × 3⁻³? =
  37. 37.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  38. 38.Write 6 × 10⁻⁴ as a decimal. =
  39. 39.A trapezium has an area of 124 square cm. Its parallel sides are 29 cm and 2 cm. What is the distance between them (in cm)?
  40. 40.Write 3¹³ ÷ 3⁵ as a single power 3ⁿ. What is n?

Answer key

  1. 14280
  2. 9
  3. 11
  4. 12
  5. 1/10
  6. 125
  7. 18816
  8. 72
  9. 8
  10. 1
  11. 1261
  12. 59049
  13. 42
  14. 160
  15. 4
  16. 12
  17. 2
  18. 2
  19. 248
  20. 17
  21. 48125
  22. 4
  23. 132
  24. 13
  25. 56
  26. 6
  27. 9888
  28. 60
  29. 12
  30. 144
  31. 1444
  32. 0.23
  33. 35
  34. 19
  35. 13000
  36. 1/3
  37. 54
  38. 0.0006
  39. 8
  40. 8

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