SAT Math Hard Practice Quiz
A
B
C
D
5.
In the figure above,
AB
= 6 and
BC
= 8. What is the
length of segment
BD
?
(A)
2
(B)
12
5
(C)
4
(D)
24
5
(E)
6
6.
If four distinct lines lie in a plane, and exactly two of
them are parallel, what is the least possible number of
points of intersection of the lines?
(A)
Two
(B)
Three
(C)
Four
(D)
Five
(E)
More than five
7.
The perimeter of a particular equilateral triangle is
numerically equal to the area of the triangle. What is
the perimeter of the triangle?
(A)
3
(B)
4
(C)
4
√
3
(D)
12
√
3
(E)
18
√
3
8.
In the figure above, a square is inscribed in a circle. If
the area of the square is 36, what is the perimeter of the
shaded region?
(A)
6 +
3
√
2
2
π
(B)
6 + 3
π
(C)
6 + 3
√
2
π
(D)
36 + 6
√
2
π
(E)
9
2
π
−
9
A
B
C
7
Note: Figure not drawn to scale.
9.
In the figure above,
AC
= 7 and
AB
=
BC
. What is the
smallest possible integer value of
AB
?
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pg. 7