Name: 
 

ACP Review



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

A bird watcher spied a woodpecker. The bird watcher is 40 yards lower than the woodpecker. The distance from the bird watcher to the woodpecker is 175 yards. What is the angle of elevation?
a.
13.2°
c.
76.8°
b.
12.9°
d.
77.1°
 

 2. 

Write the equation of a circle with center M(–3, –6) and radius 2.
a.
mc002-4.jpg
c.
mc002-6.jpg
b.
mc002-5.jpg
d.
mc002-7.jpg
 

 3. 

Find x and y.
mc003-1.jpg
a.
mc003-3.jpg
c.
mc003-5.jpg
b.
mc003-4.jpg
d.
mc003-6.jpg
 

 4. 

Find the probability that a point chosen at random lies in the shaded region.
mc004-1.jpg
a.
0.60
c.
0.58
b.
0.52
d.
0.54
 

 5. 

Find the area of the regular polygon. Round your answer to the nearest tenth.
mc005-1.jpg
a.
483.0 in.2
b.
176.6 in.2
c.
966.1 in.2
d.
80.0 in.2
 

 6. 

Find the measure of the mc006-1.jpg.
mc006-2.jpg
a.
143
c.
mc006-4.jpg
b.
mc006-3.jpg
d.
12
 

 7. 

Find the lateral area of the cone to the nearest whole number.
mc007-1.jpg
Not drawn to scale
a.
9425 mmc007-2.jpg
b.
4712 mmc007-3.jpg
c.
7540 mmc007-4.jpg
d.
3770 mmc007-5.jpg
 

 8. 

A fruit bowl contains 6 apples, 3 pears, and 8 oranges. Kayla selects 2 fruits at random without replacement. What is the probability that she selects an apple, then an orange?
a.
26.4%
c.
23.5%
b.
16.6%
d.
17.6%
 
 
Find the volume of the cylinder in terms of nar003-1.jpg.
 

 9. 

mc009-1.jpg
a.
198mc009-2.jpg in.mc009-3.jpg
b.
132mc009-4.jpg in.mc009-5.jpg
c.
396mc009-6.jpg in.mc009-7.jpg
d.
66mc009-8.jpg in.mc009-9.jpg
 

 10. 

mc010-1.jpg has radius 9, mc010-2.jpg has radius 4, and mc010-3.jpg is a common tangent. What is CD? (Hint: Draw a perpendicular segment mc010-4.jpg from B to mc010-5.jpg.)

mc010-6.jpg
a.
CD = 12
c.
CD = 13.3
b.
CD = 12.4
d.
CD = 13
 

 11. 

The vertices of a triangle are P(–4, –2), Q(–1, 4), and R(4, 5). Name the vertices of the image reflected in the x-axis.
a.
mc011-1.jpg
c.
mc011-3.jpg
b.
mc011-2.jpg
d.
mc011-4.jpg
 

 12. 

Find x.
mc012-1.jpg
a.
mc012-2.jpg
c.
8
b.
mc012-3.jpg
d.
272
 

 13. 

Find the volume of the composite space figure to the nearest whole number.
mc013-1.jpg
a.
170 cmmc013-2.jpg
b.
180 cmmc013-3.jpg
c.
60 cmmc013-4.jpg
d.
120 cmmc013-5.jpg
 

 14. 

Find x.
mc014-1.jpg
a.
23
c.
mc014-3.jpg
b.
mc014-2.jpg
d.
11
 

 15. 

The area of a regular hexagon is 30 in.2. Find the length of a side. Round your answer to the nearest tenth.
a.
4.5 in.
b.
5.9 in.
c.
3.4 in.
d.
11.5 in.
 

 16. 

Find the surface area of the figure to the nearest whole number.
mc016-1.jpg
a.
155 ftmc016-2.jpg
b.
74 ftmc016-3.jpg
c.
310 ftmc016-4.jpg
d.
135 ftmc016-5.jpg
 
 
Find x and the measures of the indicated parts.
 

 17. 

EB and ED

mc017-1.jpg
a.
mc017-2.jpg
c.
mc017-4.jpg
b.
mc017-3.jpg
d.
mc017-5.jpg
 

 18. 

AB
mc018-1.jpg
a.
mc018-2.jpg
c.
mc018-4.jpg
b.
mc018-3.jpg
d.
mc018-5.jpg
 

 19. 

Find the area of sector POM. Give your answer in terms of mc019-1.jpg.

mc019-2.jpg
a.
mc019-6.jpg
c.
mc019-8.jpg
b.
0mc019-7.jpg
d.
mc019-9.jpg
 

 20. 

P mc020-1.jpg(1, 2) for the glide vector mc020-2.jpg and the reflection line y = –x. Find the coordinates of P.
a.
(1, –3)
b.
(3, 5)
c.
(–1, 3)
d.
(–3, –5)
 
 
A 60-yard long drawbridge has one end at ground level. The other end is initially at an incline of 5°.
 

 21. 

During one stage of the drawbridge’s motion, the raised end is 15 yards above the ground. What is the incline of the drawbridge to the nearest hundredth?
a.
14.04°
c.
0.004°
b.
75.52°
d.
14.48°
 

 22. 

The surface areas of two similar solids are 363 ftmc022-1.jpg and 1199 ftmc022-2.jpg. The volume of the larger solid is 1715 ftmc022-3.jpg. What is the volume of the smaller solid?
a.
286 ftmc022-4.jpg
b.
779 ftmc022-5.jpg
c.
944 ftmc022-6.jpg
d.
1,715 ftmc022-7.jpg
 

 23. 

Find x and y.
mc023-1.jpg
a.
mc023-3.jpg
c.
mc023-5.jpg
b.
mc023-4.jpg
d.
mc023-6.jpg
 

 24. 

Pierre built the model shown in the diagram below for a social studies project. He wants to be able to show the inside of his model, so he sliced the figure as shown. Describe the cross section he created.

mc024-1.jpg
a.
pyramid
b.
pentagon
c.
hexagon
d.
rectangle
 

 25. 

mc025-1.jpg. Find mc025-2.jpg.

mc025-3.jpg
a.
mc025-9.jpg = mc025-10.jpg
c.
mc025-13.jpg = mc025-14.jpg
b.
mc025-11.jpg = mc025-12.jpg
d.
mc025-15.jpg = mc025-16.jpg
 

 26. 

The radius and height of the cylinder are multiplied by 4. Describe the effect on the volume.

mc026-1.jpg
a.
The volume is multiplied by 4.
c.
The volume is multiplied by 64.
b.
The volume is multiplied by 16.
d.
The volume is multiplied by 8.
 

 27. 

Graph the equation mc027-1.jpg.
a.
mc027-3.jpg
c.
mc027-5.jpg
b.
mc027-4.jpg
d.
mc027-6.jpg
 

 28. 

Find the shape resulting from the cross-section of the cylinder.

mc028-1.jpg
a.
circle
c.
rectangle
b.
ellipse
d.
square
 



 
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