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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 919 · 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.What is the smallest whole number by which 112 must be divided to get a perfect square?
  2. 2.Solve: 3(x − 3) = x + 23. What is x?
  3. 3.A cuboid is 13 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
  4. 4.What is √1296? =
  5. 5.The sum of two consecutive whole numbers is 107. What is the smallest of them?
  6. 6.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  7. 7.A town has 35200 people. The population grows by 5% every year. What will the population be after 2 years?
  8. 8.Find the compound interest on ₹4800 at 25% per year for 3 years, compounded every year (in ₹).
  9. 9.Which of these is a perfect cube? (a) 1083 (b) 1000 (c) 1131
  10. 10.Find the compound interest on ₹59000 at 10% per year for 3 years, compounded every year (in ₹).
  11. 11.What amount will ₹27900 grow to in 1 year at 25% per year compound interest (in ₹)?
  12. 12.Solve: 3y + 13 = 2y + 28. What is y?
  13. 13.What is the value of 2⁻⁴ (as a fraction)? =
  14. 14.What is the value of 3⁶ × 3⁻³? =
  15. 15.Use (a − b)² = a² − 2ab + b² to find 72².
  16. 16.Find the value of x² − 2xy + y² when x = 11 and y = 6.
  17. 17.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
  18. 18.Use (a + b)² = a² + 2ab + b² to find 79².
  19. 19.Solve: n/4 + n/5 = 27. What is n?
  20. 20.What is the value of (8/9)⁻²? =
  21. 21.A trapezium has an area of 255 square cm. Its parallel sides are 18 cm and 16 cm. What is the distance between them (in cm)?
  22. 22.What is the difference between the compound interest and the simple interest on ₹21000 at 10% per year for 2 years (in ₹)?
  23. 23.A room is 5 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  24. 24.A trapezium has an area of 180 square cm. Its parallel sides are 25 cm and 20 cm. What is the distance between them (in cm)?
  25. 25.Which of these is a perfect square? (a) 841 (b) 871 (c) 881
  26. 26.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  27. 27.A cuboid is 3 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
  28. 28.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  29. 29.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  30. 30.How many whole numbers lie between 10² and 11²?
  31. 31.The length of a rectangle is 10 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  32. 32.What is the difference between the compound interest and the simple interest on ₹57700 at 20% per year for 2 years (in ₹)?
  33. 33.A father is 54 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?
  34. 34.Write (7⁸)⁹ as a single power 7ⁿ. What is n?
  35. 35.A room is 7 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  36. 36.A trapezium has an area of 92 square cm. Its parallel sides are 13 cm and 10 cm. What is the distance between them (in cm)?
  37. 37.Find the compound interest on ₹50800 at 20% per year for 1 year, compounded every year (in ₹).
  38. 38.Solve: 8n + 7 = 7n + 11. What is n?
  39. 39.What is 27²? =
  40. 40.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?

Answer key

  1. 7
  2. 16
  3. 536
  4. 36
  5. 53
  6. 150
  7. 38808
  8. 4575
  9. 1000
  10. 19529
  11. 34875
  12. 15
  13. 1/16
  14. 27
  15. 5184
  16. 25
  17. 256
  18. 6241
  19. 60
  20. 81/64
  21. 15
  22. 210
  23. 96
  24. 8
  25. 841
  26. 49
  27. 142
  28. 9
  29. 14
  30. 20
  31. 7
  32. 2308
  33. 11
  34. 72
  35. 170
  36. 8
  37. 10160
  38. 4
  39. 729
  40. 4

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