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CST/STAR Review CS-5
Practice Set C evens
2x  1
2. If f x 
find x so that f x  5
x 1
bg
bg
6. Simplify
x
(no radicals)
11
x
10. Graph/is it a function? y  x 2  2 x  3
b g
14. Solve log 3x  1  3
Name_________________________ No._____
4. Find the volume and surface area of a
sphere with r=8.
8. Two numbers add to 17, and 7 times the
first minus 5 times the second is 3. Find the
numbers.
12. If a= -2 find a  1  a  1
16. For f ( x) 
3 3
x  9 , find f 1
5
18. Steve, Jose, and Clyde can do a piece of
20. The sum of three consecutive odd integers
work in 4 hours. If Steve can do the same piece is 1,359. Find the integers.
of work in 10 hours, and Jose in 12 hours, how
many hours will it take Clyde to do the work
alone?
Practice Set E: Golden State Exam Geometry Review
2. MNO is similar to XYZ . If MN=15,
4. In parallelogram ABCD, the measure of
A is (2 x  5) and the measure of C is
MO=20, NO=30, XY  4k  2 , and
XZ  4k  4 , find XY.
(4 x  59) . The measure of B is
a. 6
b. 12
c. 15
d. 18
a. 32˚
b. 69˚
c. 83˚
d. 111˚
CST/STAR Review CS-5
6. Which of the following points are vertices of
a square with one side tangent to the circle
( x  3)2  y 2  9 ?
a.
b.
(0, 0)(6, 0)
(3,3)(3, 3)
(4, 1)(0,1)
(4,1)(0, 1)
c.
d.
Name_________________________ No._____
8. The diameter of the base of a cone is 18 and
the height is 14. What is the volume of the
cone?
(6, 2)(10, 2)
a. 378  11187.5
c. 972  3053.6
(6, 2)(10, 2)
(6, 6)(9,3)
b. 588  1847.3
d. 1134  3562.6
(6, 0)(3,3)
10. A round ice-skating rink is built inside a
rectangular arena as shown in the figure. The
management needs to order new material to
cover the floor represented by the shaded
area. Which of the following algebraic
expressions represents this shaded area?
12. The endpoints of one diagonal of a square
are (-5,2) and (7,-6). What is the equation of
the line containing the other diagonal?
a. xy   x 2
c. xy   4x
a. 3x  2 y  1
c. 3x  2 y  1
b.  x 2  xy
d. xy   2x
b. 3x  2 y  2
d. 3x  2 y  7
2
2
14. AD CB and cut by transversal AB .
AC  CB . AB=10, DAB  35 . Which of the
following expressions could be used to
determine the length of AC ?
16. The apothem (drawn from the center,
perpendicular to a side) of a regular hexagon
has a length of 6. What is the perimeter of the
hexagon?
a. 10cos55
c. 10cos35
a. 2 3  3.46
b. 10sin 55
d. 10tan35
18. Trapezoid ABCD is inscribed in circle P. If
AB  BC  CD and AP=12, what is the
measure of the median of the trapezoid?
b. 4 3  6.93
d. 24 3  41.57
20. A circle of area 25 circumscribes a
regular pentagon as shown. To the nearest
tenth, what is the length of an arc joining two
adjacent vertices?
a. 6
a. 4.3
b. 12
c. 18
d. 24
b. 5.0
c. 12 3  20.78
c. 5.9
d. 6.3