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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 438 · 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 86²? =
  2. 2.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  3. 3.A room is 12 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  4. 4.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.The diagonals of a rhombus are 14 cm and 14 cm. What is its area (in square cm)?
  6. 6.Use (a + b)(a − b) = a² − b² to find 71 × 69.
  7. 7.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.The length of a rectangle is 7 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  9. 9.A trapezium has parallel sides of 19 cm and 3 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  10. 10.Use (a + b)² = a² + 2ab + b² to find 102².
  11. 11.What amount will ₹26400 grow to in 2 years at 15% per year compound interest (in ₹)?
  12. 12.What is the difference between the compound interest and the simple interest on ₹30000 at 4% per year for 2 years (in ₹)?
  13. 13.What is √1296? =
  14. 14.The length of a rectangle is 15 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  15. 15.Write 3.8 × 10⁻¹ as a decimal. =
  16. 16.What is the value of 5⁵? =
  17. 17.How many whole numbers lie between 50² and 51²?
  18. 18.A town has 40000 people. The population grows by 10% every year. What will the population be after 3 years?
  19. 19.Which of these is a perfect square? (a) 481 (b) 441 (c) 456
  20. 20.What amount will ₹30800 grow to in 2 years at 5% per year compound interest (in ₹)?
  21. 21.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  22. 22.Which of these is a perfect square? (a) 1496 (b) 1486 (c) 1444
  23. 23.What is the value of 10² × 10⁻³? =
  24. 24.Find the compound interest on ₹56500 at 5% per year for 1 year, compounded every year (in ₹).
  25. 25.What is the difference between the compound interest and the simple interest on ₹19200 at 15% per year for 2 years (in ₹)?
  26. 26.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  27. 27.Solve: y/4 + y/6 = 40. What is y?
  28. 28.9.6 × 10³ =
  29. 29.Which of these is a perfect square? (a) 625 (b) 666 (c) 646
  30. 30.The diagonals of a rhombus are 10 cm and 25 cm. What is its area (in square cm)?
  31. 31.A square garden has an area of 1444 square m. How long is each side (in m)?
  32. 32.A father is 39 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?
  33. 33.What is the smallest whole number by which 126 must be multiplied to get a perfect square?
  34. 34.Solve: x/5 + x/6 = 11. What is x?
  35. 35.Solve: t/4 + t/3 = 7. What is t?
  36. 36.What is the value of 10¹ × 10⁻³? =
  37. 37.Solve: p/4 + p/6 = 15. What is p?
  38. 38.What is the difference between the compound interest and the simple interest on ₹5000 at 4% per year for 2 years (in ₹)?
  39. 39.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  40. 40.A room is 9 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?

Answer key

  1. 7396
  2. 19
  3. 160
  4. 27
  5. 98
  6. 4899
  7. 64
  8. 26
  9. 88
  10. 10404
  11. 34914
  12. 48
  13. 36
  14. 14
  15. 0.38
  16. 3125
  17. 100
  18. 53240
  19. 441
  20. 33957
  21. 3
  22. 1444
  23. 1/10
  24. 2825
  25. 432
  26. 294
  27. 96
  28. 9600
  29. 625
  30. 125
  31. 38
  32. 6
  33. 14
  34. 30
  35. 12
  36. 1/100
  37. 36
  38. 8
  39. 8
  40. 104

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