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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 767 · 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. 1.6 × 10⁷ =
  2. 2.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
  3. 3.A trapezium has an area of 86 square cm. Its parallel sides are 15 cm and 28 cm. What is the distance between them (in cm)?
  4. 4.Solve: 7n + 2 = 2n + 72. What is n?
  5. 5.A father is 11 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  6. 6.A trapezium has an area of 342 square cm. Its parallel sides are 29 cm and 9 cm. What is the distance between them (in cm)?
  7. 7.Write 4.7 × 10⁻³ as a decimal. =
  8. 8.A town has 27800 people. The population grows by 10% every year. What will the population be after 1 year?
  9. 9.Which of these is a perfect cube? (a) 142 (b) 138 (c) 125
  10. 10.Find the compound interest on ₹39000 at 10% per year for 3 years, compounded every year (in ₹).
  11. 11.What amount will ₹23200 grow to in 2 years at 15% per year compound interest (in ₹)?
  12. 12.Use (a + b)² = a² + 2ab + b² to find 39².
  13. 13.What is the difference between the compound interest and the simple interest on ₹30500 at 20% per year for 2 years (in ₹)?
  14. 14.A cuboid is 4 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
  15. 15.What amount will ₹56700 grow to in 1 year at 5% per year compound interest (in ₹)?
  16. 16.Find the compound interest on ₹30400 at 25% per year for 3 years, compounded every year (in ₹).
  17. 17.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
  18. 18.The diagonals of a rhombus are 6 cm and 25 cm. What is its area (in square cm)?
  19. 19.A scooter is worth ₹51700. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
  20. 20.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
  21. 21.Use (a + b)² = a² + 2ab + b² to find 106².
  22. 22.What is √8100? =
  23. 23.A trapezium has an area of 172 square cm. Its parallel sides are 19 cm and 24 cm. What is the distance between them (in cm)?
  24. 24.A cuboid is 9 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  25. 25.A cuboid is 12 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  26. 26.A scooter is worth ₹54500. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
  27. 27.Solve: 4(x − 4) = x + 17. What is x?
  28. 28.What is the value of 3³ × 3⁻¹? =
  29. 29.Find the compound interest on ₹13800 at 5% per year for 1 year, compounded every year (in ₹).
  30. 30.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  31. 31.A town has 21600 people. The population grows by 5% every year. What will the population be after 2 years?
  32. 32.What is the value of (3/5)⁻¹? =
  33. 33.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.What is ∛1000? =
  35. 35.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
  36. 36.What is 65²? =
  37. 37.The diagonals of a rhombus are 26 cm and 8 cm. What is its area (in square cm)?
  38. 38.Solve: 5(p − 3) = 4p + 9. What is p?
  39. 39.What is the value of 3⁻⁵ (as a fraction)? =
  40. 40.What is 25²? =

Answer key

  1. 60000000
  2. 576
  3. 4
  4. 14
  5. 5
  6. 18
  7. 0.0047
  8. 30580
  9. 125
  10. 12909
  11. 30682
  12. 1521
  13. 1220
  14. 76
  15. 59535
  16. 28975
  17. 841
  18. 75
  19. 38775
  20. 289
  21. 11236
  22. 90
  23. 8
  24. 294
  25. 104
  26. 52320
  27. 11
  28. 9
  29. 690
  30. 14
  31. 23814
  32. 5/3
  33. 125
  34. 10
  35. 49
  36. 4225
  37. 104
  38. 24
  39. 1/243
  40. 625

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