Download Carousel Review Problems

Station 1: Circle Word Problems
(use
for all calculations)
1. The diameter of a circular pool is 20 feet. There is a border around the
pool. The width of the border is 5 feet. What is the area of the border?
Round to the nearest whole number if necessary.
2. Pavone’s Pizza sells a 10-inch (diameter) personal pizza for $10, and a
12-inch small pizza for $14. Which pizza is the better value?? Guess
based on your math intuition. Then justify your answer by giving the unit
cost per square inch for each pizza.
3. A wire is formed into a square with an area of 81 square feet. The wire
is then straightened and cut into four congruent pieces. Each piece is
then formed into a circle. What is the area of each circle? Round to the
nearest hundredth.
OCMS 2016
Station 2: Angle Relationships
1. Find all the missing angle measures for the figure below without a protractor. (Make a
T-Table on your paper with your answers.)
D
A
F
Angle
Angle Measure
a. <FEA
b. <AED
103°
c. <GED
E
d. <BEC
37°
e. <GEC
C
G
B
f. <FEG
2. Sketch and label two intersecting lines for which ∠CDE and ∠ADR are both acute
vertical angles.
3. Sketch and label two intersecting lines for which ∠HOG and ∠GOX are supplementary,
and <HOG is obtuse.
4. Sketch and label ∠ABC and ∠DBE, a pair of complementary angles that are not
vertical, adjacent, or congruent.
5.
OCMS 2016
Station 3: Circle Calculation Problems
(use
for all calculations)
Use the given information to find the missing information.
Give each answer in two forms: exact (in terms of ) and rounded to the
nearest hundredth unit.
Be sure to show work in 3 steps: formula, substitute, solve with units.
a. Radius: 2 m
Circumference: ?
c. Radius: 5.5 in
Area: ?
e. Circumference: 69.08 cm
Diameter: ?
OCMS 2016
b. Diameter: 2 m
Circumference: ?
d. Diameter: 40 in
Area: ?
f. Area: 153.86 cm2
Radius:
?
Station 4: Angle Relationships
1. Use the given relationship to find the missing angle:
a.
If G is complementary to
b.
If J is supplementary to
c.
If N is vertical to
, and
, then
, and
, and
must be
, then
, then
must be
must be
.
#2-5: Sketch and label the given angles. Then answer the question.
2.
and
4.
are vertical angles.
. Find
and
are complementary. If
is the measure of each angle?
5.
and
?
are adjacent angles.
.
is 18 greater than
and
. What is
6.
and
are supplementary angles. If
what is the measure of each angle?
7.
In the diagram below, find all missing angles without a protractor.
Angle
F
ÐFGH
I
J
G
K
ÐIGH
64°
H
ÐKGH
ÐKGJ
OCMS 2016
is 9 less than
Measure
, what
,
Station 5: Triangles
#1 and 2: Define a variable, write an equation, solve. Find the measure of
EACH angle, then classify the triangle by its sides and angle measures.
Round to the nearest whole angle measure if needed.
1.
2. One angle of a triangle is 80°.
The ratio of the other two
angles is 3:2. What are the
measures of all the angles of
the triangle?
3. Bo lives 52 miles east of Kyara. Kyara lives 38 miles north of the shopping
mall. Sketch and label this situation. Given what you know about triangles,
what are the shortest and longest straight-line, whole number distances
Bo could live from the mall?
OCMS 2016
Station 6: More Angles
#1-2: Write an equation to find the measure of each marked angle:
1.
2.
G
H
7x - 5
F
C
6x
E
I
4x - 15
A
6x - 25
B
D
3. In the diagram below, you are given the measures of three angles. The
diagram is NOT drawn to scale. Detemine the measure of the missing
angles a through m. Write your answers on the diagram (handout).
86
c
a
b
123
d
j
i
OCMS 2016
g
h
f
e
62
k
l