Self Studies

Permutations an...

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  • Question 1
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    Which pair of numbers comes next?
    10,18,12,21,15,25,,....10, 18, 12, 21, 15 ,25, ,....

  • Question 2
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    The area of the triangle formed from points (1,2),(2,4)(1, 2), (2, 4) and (3,1)(3, 1) is ____ square units.

  • Question 3
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    (9,2),(5,1)(9, 2), (5, -1) and (7,5) (7, -5) are the vertices of the triangle. Find its area.

  • Question 4
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    What is the area of the triangle whose vertices are: (3,15),(6,7)(-3, 15), (6, -7) and (10,5)(10, 5)?

  • Question 5
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    What is the area of the triangle for the following points (6,2),(5,4)(6, 2), (5, 4) and (3,1)(3, -1)?

  • Question 6
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    The area of the triangle whose vertices are (0,1),(1,4)(0, 1), (1, 4) and (1,2)(1, 2) is ___ square units.

  • Question 7
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    In figure, if the midpoints of segments GH,JK\overline{GH}, \overline{JK}, and LM\overline{LM} are connected, calculate the area of the resulting triangle.

  • Question 8
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    Calculate the area of a triangle with vertices (1,1),(3,1)(1, 1), (3, 1) and (5,7)(5, 7).

  • Question 9
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    If n is an integer with 0n110\le n \le 11 then the minimum value of n!(11n)!n!(11-n)! is attained when a value of n = 

  • Question 10
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    The area of the triangle with coordinates (1,2),(5,5)(1, 2), (5, 5) and (k,2)(k, 2) is 1515 square units. Calculate a possible value for kk.

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