12.Practice.Tests.for.the.SAT_2015-2016_1128p

Section 31
Practice Test Eleven
943
17. If a and b are positive integers and the ratio of a + 2
to b + 2 is the same as the ratio of a + 4 to b + 4,
which of the following must be true?
I. a= b
II. a= 2
III. b = 2a
(A) none
(B) I only
(C) II only
(D) III only
(E) II and III only
19. For any positive odd integer k, how many even
integers are greater than zero and less than k?
(A) k- 1
(B)
k
2
(C) l
k
(D) k- 1
2
(E)
2
k- 1
A B c D E F
L
T
•
18. The figure above shows two circles of equal size.
Each circle is tangent to the other circle at one
point and tangent to the large rectangle at three
points. The vertical line segments that intersect
the large rectangle at points A through F divide the
large rectangle into five smaller rectangles of equal
size. If the length of line segment AB is 2, what is
the radius of each circle?
(A) 2
(B) 2.25
(C) 2.5
(D) 3
(E) 5
20. In the figure above, a 1-foot by 2-foot lattice is
constructed from 7 ! -foot pipes and 6 connectors
of two types: 4 L connectors, each of which joins
2 pipes, and 2 T connectors, each of which joins
3 pipes. Which of the following gives the correct
number of each type of connector that would
be used to make a 1-foot by 5-foot lattice in the
same way?
(A) 4 L, 5 T
(B) 4 L, 8 T
(C) 4L,10T
(D) 20 L, 8 T
(E) 20 L, 10 T
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