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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 571 · 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.Write 6.5 × 10⁻⁴ as a decimal. =
  2. 2.Write 40,00,000 in standard form as 4 × 10ⁿ. What is n?
  3. 3.Write 9³ × 9² as a single power 9ⁿ. What is n?
  4. 4.A room is 3 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  5. 5.What is ∛8000? =
  6. 6.A cuboid is 7 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  7. 7.What is ∛3375? =
  8. 8.A cuboid is 11 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
  9. 9.Write 6.2 × 10⁻¹ as a decimal. =
  10. 10.The diagonals of a rhombus are 26 cm and 8 cm. What is its area (in square cm)?
  11. 11.Which of these is a perfect square? (a) 362 (b) 388 (c) 361
  12. 12.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  13. 13.What amount will ₹10000 grow to in 2 years at 4% per year compound interest (in ₹)?
  14. 14.What is √169? =
  15. 15.Solve: 5(p − 2) = 4p + 11. What is p?
  16. 16.A father is 33 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  17. 17.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  18. 18.What is 13³? =
  19. 19.Solve: 6m + 12 = 3m + 30. What is m?
  20. 20.If a + b = 4 and ab = 3, what is a² + b²?
  21. 21.What is 40²? =
  22. 22.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  23. 23.What is the value of 7⁻² (as a fraction)? =
  24. 24.What amount will ₹4800 grow to in 3 years at 25% per year compound interest (in ₹)?
  25. 25.What is the value of 6⁵? =
  26. 26.Write (9³)⁴ as a single power 9ⁿ. What is n?
  27. 27.A town has 15100 people. The population grows by 12% every year. What will the population be after 1 year?
  28. 28.Find the compound interest on ₹29300 at 4% per year for 1 year, compounded every year (in ₹).
  29. 29.Which of these is a perfect cube? (a) 1034 (b) 1000 (c) 1063
  30. 30.7.2 × 10³ =
  31. 31.Solve: 5(m − 1) = m + 11. What is m?
  32. 32.A town has 15500 people. The population grows by 20% every year. What will the population be after 2 years?
  33. 33.A father is 30 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?
  34. 34.Find the compound interest on ₹7500 at 8% per year for 2 years, compounded every year (in ₹).
  35. 35.What is the difference between the compound interest and the simple interest on ₹35900 at 10% per year for 2 years (in ₹)?
  36. 36.7.8 × 10³ =
  37. 37.A trapezium has an area of 225 square cm. Its parallel sides are 23 cm and 2 cm. What is the distance between them (in cm)?
  38. 38.A room is 5 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  39. 39.Write 6¹¹ ÷ 6⁹ as a single power 6ⁿ. What is n?
  40. 40.A scooter is worth ₹31800. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?

Answer key

  1. 0.00065
  2. 6
  3. 5
  4. 104
  5. 20
  6. 82
  7. 15
  8. 206
  9. 0.62
  10. 104
  11. 361
  12. 5
  13. 10816
  14. 13
  15. 21
  16. 4
  17. 2904
  18. 2197
  19. 6
  20. 10
  21. 1600
  22. 9
  23. 1/49
  24. 9375
  25. 7776
  26. 12
  27. 16912
  28. 1172
  29. 1000
  30. 7200
  31. 4
  32. 22320
  33. 9
  34. 1248
  35. 359
  36. 7800
  37. 18
  38. 48
  39. 2
  40. 28620

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