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Unit 7 Retest

Total questions: 75

Worksheet time: 3hrs 57mins

Name
Class
Date
1.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
2.
What is the area of a circle with the diameter of 10cm ?
a)
66cm
b)
78.5cm
c)
66.5cm
d)
10m
3.
what is the area of this semicircle ?
d = 8 cm 
a)
100.48 cm2
b)
80 cm2
c)
200.96 cm2
d)
25.12 cm2
4.
What does area mean?
a)
the distance around a shape
b)
half the distance around a shape
c)
the amount of space outside a shape
d)
the amount of space inside a shape
5.
Jesse used rope to stake a circular region in which to plant a garden. The diameter of the region is 20 inches. What is the approximate area of half of the garden?
a)
31.4 in2
b)
314 in2
c)
157 in2
d)
628 in2
6.
Ms. Catall is using a compass to find her way out of the woods. The compass has a radius of 4 centimeters. What is the compass's area?
a)
49.2 cm2
b)
45.6 cm2
c)
50.24 cm2
d)
55.9 cm2
7.

The definition of diameter is

a)

distance from the center of any point on the circle

b)

distance across the circle through the center

c)

distance from one point to another

d)

distance around the circle

8.

The definition of radius is

a)

distance from one point to another point

b)

distance around the circle

c)

distance from the center to any point on the circle

d)

distance across the circle through the center

9.
Mrs. Wilson placed the welcome mat shown below on her front door step. What is the area of her welcome mat in square feet? Leave in terms of π.
a)
A = 2π
b)
A = 8π
c)
A = 10π
d)
A = 4π
10.
Steven purchases a bowl. The diameter of the
bowl is 14 cm. What is the circumference of the 
bowl?
a)
28 cm
b)
43.98 cm
c)
87.96 cm
d)
7 cm
11.

If you fold a circle in half, what shape have you created?

a)

Quarter circle

b)

Semi-circle

c)

a taco

d)

another circle

12.
Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area?
a)
63.585 ft2
b)
68.345 ft2
c)
64.585 ft2
d)
61.345 ft2
13.

Find the area of the quarter circle. Round you answer to the nearest hundredth.

a)

58.88

b)

78.50

c)

7.85

d)

157.00

14.

Find the area of the semicircle. Round you answer to the nearest hundredth.

a)

19.63

b)

9.8125

c)

9.81

d)

39.25

15.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
16.
What is the radius?
a)
18
b)
72
c)
38
d)
14
17.
The radius of a circle is
a)
The measurement from the center of a circle to an edge of the circle.
b)
The measurement around the circle
c)
The measurement from and edge of the circle to another edge through the center
d)
A line perpendicular to the diameter of the circle
18.
The diameter of a circle is:
a)
The measurement around the circle.
b)
The distance from an edge of a circle to another edge.
c)
The distance from the center of the circle to an edge of a circle
d)
The distance from an edge of a circle to another edge through the center. 
19.
Steven purchases a bowl. The diameter of the bowl is 14 cm. What is the circumference of the bowl?
a)
28 cm
b)
43.96 cm
c)
87.96 cm
d)
7 cm
20.
Find the circumference of a circle with a radius of 13.5 mm.
a)
37.68mm
b)
18.84mm
c)
84.78 mm
d)
none of the above
21.
A circular swimming pool is 21 feet in diameter.
How many feet around is the pool?
a)
10.5 ft
b)
42 ft
c)
65.94 ft
d)
131.95 ft
22.

The equation C = πd, is used to find the circumference of a circle given it's diameter. This formula can be rearranged to solve for pi. Which equation is written correctly to solve for pi?

a)

π = Cd

b)

π = C ÷ d

c)

π = d ÷ c

d)

π = C - d

23.
π is equal to circumference divided by _________________.
a)
radius
b)
diameter
c)
area
d)
itself
24.
The diameter of a circular pool is 24.8 feet and the circumference is 77.9 feet. What formula would you use to find π?
a)
C/d
b)
d/C
25.
What is the Circumference of a lid if the diameter
is 7.8 cm?
a)
14.3 cm
b)
24.5 cm 
c)
Formula   C = πd
26.
If the diameter of a circle is 15.3 meters, what is the circumference?
a)
5.76 meters
b)
48.07 meters
c)
Formula   C = πd
27.
What is the "formal" definition of pi?
a)
22/7
b)
3.1415926
c)
the ratio of a circle's circumference to its diameter
d)
the surface area of a sphere of diameter 22/7
28.
What is the area of the shaded region?
a)
14 m2
b)
120 m2
c)
106 m2
d)
134 m2
29.
What is the area of the shaded region? Write your answer as a whole number or a decimal rounded to the nearest hundredth.
a)
77 square inches
b)
83 square inches
c)
160 square inches
d)
55 square inches
30.
To promote recycling, the ground of the neighborhood sandbox is being covered with shredded tires . The sandbox will not be covered.
What is the area of the shredded tire portion of the playground?
a)
3600 feet2
b)
450 feet2
c)
1342 feet2
d)
3150 feet2
31.
The diagram shows one side of a storage barn. This side needs to be painted. Find the total area to be painted.
a)
333.4 ft2
b)
467.4 ft2
c)
345.4 ft2
d)
572.4 ft2
32.
Jeff drew a circle inside a square, as shown below.  Which method can Jeff use to find the area of the square not covered by the circle?
a)
Subtract the area of the circle from the area of the square.
b)
Subtract the area of the square from the area of the circle.
c)
Subtract 1/4 the area of the square from the area of the circle.
d)
Subtract 1/4 the area of the circle from the area of the square.
33.
Area of  the shaded figure: 
a)
350
b)
137.5
c)
212.5
d)
484.2
34.
a)
625
b)
134.13
c)
490.87
d)
228.4
35.
a)
117.83
b)
215.03
c)
97.2
d)
287.5
36.
a)
405
b)
88.36
c)
316.64
d)
328.56
37.
Determine the area of the shaded region. 
a)
36m2
b)
26m2
c)
28m2
d)
32m2
38.
Determine the area of the shaded region. 
a)
42.24 m2
b)
26.42 m2
c)
40.42 m2
d)
41.42 m2
39.
The figure shows 2 circles inside a trapezoid.  Which procedure should be used to find the area of the shaded region?
a)
Subtract the perimeter of the trapezoid from the area of both circles.
b)
Subtract the circumference of both circles from the area of the trapezoid.
c)
Subtract the area of the trapezoid from the area of both circles.
d)
Subtract the area of both circles from the area of the trapezoid.
40.
Which of the following is closest to the area of the figure shown?(use 3)
a)
420 cm2
b)
512 cm2
c)
320 cm2
d)
1,124 cm2
41.
 What is the area of the shaded region?
a)
19.8 cm2
b)
25.16 cm2
c)
32.6 cm2
d)
14.96 cm2
42.
find the area of the circle with radius 3 cm below.
a)
100 cm2
b)
225 cm2
c)
9 cm2
d)
28.26 cm2
43.

The head of a nail is circular, as shown. The head of this nail has a diameter of 6 millimeters. Which measurement is closest to the area of the head of this nail in square millimeters?

a)

9.42 mm2

b)

113.04 mm2

c)

28.26 mm2

d)

37.67 mm2

44.

A circle has a diameter of 7.6 feet. Which measurement is closest to the circumference of the circle in feet?

a)

23.9 ft

b)

45.3 ft

c)

47.7 ft

d)

11.9 ft

45.

A model of a rectangular stove top with four circular burners is shown. The side lengths of the stove top and the diameters of the burners are labeled. Which measurement is the best estimate of the area in square inches of the stove stop that does not include the area of the burners?

a)

108 in.2

b)

492 in.2

c)

420 in.2

d)

528 in.2

46.

The sum of the measure of angle M and angle R create a complementary angle. The measure of angle M is  (5x + 10)°\left(5x\ +\ 10\right)\degree . The measure of angle R is  55°55\degree . What is the value of x?

a)

 35°35\degree  

b)

 125°125\degree  

c)

 5°5\degree  

d)

 23°23\degree  

47.

A drawing of a sailboat was made using a rectangle and two right triangles, as shown. What is the area of the drawing of the sailboat in square centimeters?

a)

30 cm2

b)

45 cm2

c)

60 cm2

d)

15 cm2

48.

Using your knowledge of triangles and supplementary angles, what is the value of x?

a)

40°40\degree

b)

60°60\degree

c)

20°20\degree

d)

30°30\degree

49.

The circumference of a circle is C centimeters. The diameter of the circle is 13 centimeters. Which expression best represents the value of pi?

a)

 C6.5\frac{C}{6.5}  

b)

 6.5C\frac{6.5}{C}  

c)

 C13\frac{C}{13}  

d)

 13C\frac{13}{C}  

50.

Which equation is true when k = -15?

a)

3k−11=−343k-11=-34

b)

−53+4k=7-53+4k=7

c)

k3+17=12\frac{k}{3}+17=12

d)

k5+2.5=0.5\frac{k}{5}+2.5=0.5

51.

 20.54=12.83+3x20.54=12.83+3x  

What is the solution to this equation?

a)

x = 3.14

b)

x = 11.12

c)

x = 7.71

d)

x = 2.57

52.

How are a circle's circumference and diameter related?

a)

The diameter is pi times as much as the circumference.

b)

The diameter is 2pi times as much as the circumference.

c)

The circumference is pi times as much as the diameter.

d)

The circumference is 2pi times as much as the diameter.

53.

A company's logo was designed using circles of 3 different sizes. The diameters of two of the circles are shown. What is the measurement that is closest to the are of the largest circle in square centimeters?

a)

113.04 cm2

b)

254.24 cm2

c)

141.2 cm2

d)

28.26 cm2

54.

A utility line runs underground through Shaynes rectangular backyard. He is not allowed to dig within 3 feet of the utility line. The diagram below shows the dimensions of his backyard in feet. The dashed line represents the utility line. What is the area in square feet of the part of the backyard in which Shayne is allowed to dig?

a)

272 ft2

b)

238 ft2

c)

374 ft2

d)

102 ft2

55.

 −7x−13≥8-7x-13\ge8  

Which number line represents the solution to this inequality?

a)

A

b)

B

c)

C

d)

D

56.

What is the area of the shaded region?

a)

1256 cm2

b)

256 cm2

c)

58 cm2

d)

44 cm2

57.
What is the area of this rectangle?
a)
40 square centimeters
b)
45 square centimeters
c)
28 centimeters
d)
50 square centimeters
58.
Find the area of the composite figure
a)
40
b)
9
c)
49
d)
61
59.
 What is the area of the arrow?
a)
17 in2
b)
40 in2
c)
52 in2
d)
61 in2
60.
Find the Area.
a)
91 square feet
b)
49 square feet
c)
78 square feet
d)
1011 square feet
61.
Mrs. Davis wanted to cover the classroom with new carpet. If the length of the classroom was 12 feet and the width was 8 feet. How much carpet would she need to buy?
a)
20 feet
b)
40 ft
c)
96 square feet
d)
40 square feet
62.
What is the area of this figure?
a)
60 square inches
b)
78 square inches
c)
68 square inches
d)
76 square inches
63.
What is the area of the composite shape?
a)
28 square meters
b)
112 square meters
c)
140 square meters
d)
234 square meters
64.

Find x

a)

52 degrees

b)

31 degrees

c)

103 degrees

d)

45 degrees

65.
Determine if it is possible to form a triangle with the given side lengths. 2 mm, 2 mm, 8 mm
a)
yes
b)
no
66.
Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd
a)
yes
b)
no
67.
Solve for x.
a)
16
b)
11
c)
50
d)
6
68.

What should all three angles in a triangle add up to?

a)

360

b)

90

c)

180

d)

270

69.

Can this set of angles be used to construct a triangle?


90o, 80o , 20o

a)

Yes

b)

No

c)

I don't know

70.
Find the missing angle.
a)
43
b)
47
c)
57
d)
67
71.
If ∠H and ∠J are complementary, and the measure of ∠H is 35°, what is the measure of ∠J?
a)
145
b)
55
c)
60
d)
65
72.
If ∠A and ∠B are supplementary, and the measure of ∠A is 120°, what is the measure of ∠B?
a)
180
b)
50
c)
60
d)
80
73.
a)
x = 118
b)
x = 108
c)
x = 28
d)
x = 58
74.
What kind of angles are shown?
a)
complementary
b)
supplementary
c)
adjacent
d)
corresponding
75.
What is an example of a pair of complementary angles?
a)
13° and 45°
b)
10° and 170°
c)
81° and 9°
d)
90° and 3°

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