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MathToSuccess
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SAT Math
1.  In the figure below, a triangle is inscribed in a circle with one of its side AC through the circle center O. If AB = 4 and BC = 14, what is the area of the circle?
A) 51π
B) 54π
C) 56π
D) 53π
E) It cannot be determined from the information given.
2.  The circles and the enclosing rectangle are tangent as shown in the diagram. If the total area of all the circles is 50π, what is the area of the rectangle?
Best GT Prep
A) 199
B) 200
C) 204
D) 198
E) 203
3.  ABCD is a trapezoid. If CD = 12, AE = 3, and EB = 4. What is the area ratio of the triangle ADE to the trapezoid ABCD? Note that the diagram might not be drawn to scale.
Best GT Prep
A)
2
19
 
B)
3
7
 
C)
6
19
 
D)
3
19
 
E)
7
19
 
4.  ABC is a triangle. D is the midpoint of AB, and E is the midpoint of CD. If the area of the triangle ABC is 38, what is the area of the shaded shape?
Best GT Prep
A) 28.5
B) 27.5
C) 26.5
D) 25.5
E) can not be determined
5.  By connecting the four midpoints of each of the sides of a square, a new square is formed enclosed in the original square. If the most external square is the 1st square, the one enclosed by the first one is the 2nd square, the one enclosed by the 2nd square is the 3rd square, ... and so on. If the 6th square has an area of 3, what is the area of the 1st square?
Best GT Prep
A) 768
B) 6
C) 384
D) 96
E) 192



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