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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 223 · 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 1.3 × 10⁻³ as a decimal. =
  2. 2.A trapezium has an area of 266 square cm. Its parallel sides are 25 cm and 13 cm. What is the distance between them (in cm)?
  3. 3.A town has 36800 people. The population grows by 25% every year. What will the population be after 3 years?
  4. 4.What is the value of 2⁻⁶ (as a fraction)? =
  5. 5.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
  6. 6.A trapezium has parallel sides of 6 cm and 9 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  7. 7.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  8. 8.A trapezium has an area of 75 square cm. Its parallel sides are 23 cm and 2 cm. What is the distance between them (in cm)?
  9. 9.What is ∛2744? =
  10. 10.A square garden has an area of 2809 square m. How long is each side (in m)?
  11. 11.A room is 6 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  12. 12.Find the value of x² + 2xy + y² when x = 12 and y = 1.
  13. 13.Find the compound interest on ₹3300 at 8% per year for 1 year, compounded every year (in ₹).
  14. 14.The length of a rectangle is 9 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  15. 15.Which of these is a perfect cube? (a) 27 (b) 42 (c) 29
  16. 16.Solve: p/2 + p/5 = 14. What is p?
  17. 17.A square garden has an area of 484 square m. How long is each side (in m)?
  18. 18.What is ∛8000? =
  19. 19.What is √4489? =
  20. 20.The diagonals of a rhombus are 24 cm and 8 cm. What is its area (in square cm)?
  21. 21.A trapezium has parallel sides of 19 cm and 10 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  22. 22.A room is 8 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  23. 23.Find the value of x² + 2xy + y² when x = 15 and y = 14.
  24. 24.Which of these is a perfect cube? (a) 626 (b) 668 (c) 512
  25. 25.What amount will ₹16000 grow to in 3 years at 5% per year compound interest (in ₹)?
  26. 26.Find the value of x² + 2xy + y² when x = 6 and y = 2.
  27. 27.What is the value of 9³? =
  28. 28.How many whole numbers lie between 9² and 10²?
  29. 29.A trapezium has parallel sides of 20 cm and 2 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  30. 30.Solve: 3(t − 2) = t + 8. What is t?
  31. 31.Find the compound interest on ₹6100 at 12% per year for 1 year, compounded every year (in ₹).
  32. 32.What is 21²? =
  33. 33.A father is 24 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.Which of these is a perfect square? (a) 1296 (b) 1308 (c) 1343
  35. 35.Write 6⁹ × 6⁶ as a single power 6ⁿ. What is n?
  36. 36.What is the value of 2⁶ × 2⁻⁶? =
  37. 37.What is the value of 6³? =
  38. 38.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
  39. 39.Write 9⁶ × 9³ as a single power 9ⁿ. What is n?
  40. 40.2.3 × 10⁷ =

Answer key

  1. 0.0013
  2. 14
  3. 71875
  4. 1/64
  5. 25
  6. 15
  7. 12
  8. 6
  9. 14
  10. 53
  11. 60
  12. 169
  13. 264
  14. 8
  15. 27
  16. 20
  17. 22
  18. 20
  19. 67
  20. 96
  21. 174
  22. 170
  23. 841
  24. 512
  25. 18522
  26. 64
  27. 729
  28. 18
  29. 154
  30. 7
  31. 732
  32. 441
  33. 6
  34. 1296
  35. 15
  36. 1
  37. 216
  38. 841
  39. 9
  40. 23000000

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