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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 895 · 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.A town has 44400 people. The population grows by 10% every year. What will the population be after 2 years?
  2. 2.Which of these is a perfect square? (a) 704 (b) 676 (c) 679
  3. 3.A scooter is worth ₹22400. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
  4. 4.Which of these is a perfect cube? (a) 3013 (b) 3179 (c) 2744
  5. 5.What is ∛512? =
  6. 6.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  8. 8.The length of a rectangle is 1 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  9. 9.Which of these is a perfect square? (a) 982 (b) 961 (c) 997
  10. 10.A square garden has an area of 256 square m. How long is each side (in m)?
  11. 11.What is the difference between the compound interest and the simple interest on ₹51600 at 10% per year for 2 years (in ₹)?
  12. 12.Find the compound interest on ₹5600 at 4% per year for 1 year, compounded every year (in ₹).
  13. 13.If a − b = 6 and ab = 16, what is a² + b²?
  14. 14.What is √1156? =
  15. 15.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  16. 16.What is 13³? =
  17. 17.A room is 7 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  18. 18.What amount will ₹38200 grow to in 1 year at 8% per year compound interest (in ₹)?
  19. 19.If a − b = 8 and ab = 33, what is a² + b²?
  20. 20.What is the value of 2¹⁶? =
  21. 21.A cuboid is 3 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  22. 22.A trapezium has an area of 168 square cm. Its parallel sides are 23 cm and 5 cm. What is the distance between them (in cm)?
  23. 23.What is the difference between the compound interest and the simple interest on ₹38400 at 5% per year for 2 years (in ₹)?
  24. 24.If a − b = 4 and ab = 96, what is a² + b²?
  25. 25.What is the value of 5¹ × 5⁻¹? =
  26. 26.What is the value of 9²? =
  27. 27.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  28. 28.Solve: 9n + 15 = n + 87. What is n?
  29. 29.Use (a + b)(a − b) = a² − b² to find 38 × 22.
  30. 30.What is the smallest whole number by which 112 must be divided to get a perfect square?
  31. 31.Solve: 8p + 7 = 3p + 47. What is p?
  32. 32.Find the value of x² − y² when x = 13 and y = 2.
  33. 33.What is 16³? =
  34. 34.A square garden has an area of 225 square m. How long is each side (in m)?
  35. 35.A town has 14100 people. The population grows by 12% every year. What will the population be after 1 year?
  36. 36.Find the compound interest on ₹23000 at 10% per year for 3 years, compounded every year (in ₹).
  37. 37.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?
  38. 38.The diagonals of a rhombus are 10 cm and 9 cm. What is its area (in square cm)?
  39. 39.Use a² − b² = (a + b)(a − b) to find 28² − 26².
  40. 40.Solve: y/4 + y/5 = 45. What is y?

Answer key

  1. 53724
  2. 676
  3. 16184
  4. 2744
  5. 8
  6. 8
  7. 20
  8. 24
  9. 961
  10. 16
  11. 516
  12. 224
  13. 68
  14. 34
  15. 726
  16. 2197
  17. 78
  18. 41256
  19. 130
  20. 65536
  21. 318
  22. 12
  23. 96
  24. 208
  25. 1
  26. 81
  27. 9
  28. 9
  29. 836
  30. 7
  31. 8
  32. 165
  33. 4096
  34. 15
  35. 15792
  36. 7613
  37. 400
  38. 45
  39. 108
  40. 100

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