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TEST NAME: Surface Area Practice Test
TEST ID: 484906
GRADE: 07
SUBJECT: Mathematics
TEST CATEGORY: My Classroom
Surface Area Practice Test
Page 1 of 17
Student: Class:
Date:
1.
A room on a scale drawing has the dimensions 8 cm by 12 cm. The scale
of the drawing is 2 cm = 3 ft. What are the actual dimensions of the
room?
A.
5 ft by 8 ft
B.
12 ft by 18 ft
C.
24 ft by 36 ft
2.
The scale on a map is 1 inch = 50 miles. The actual distance between
two cities is 475 miles. What is the distance between the cities on the
map?
A.
4.75 in.
B.
8.50 in.
C.
9.00 in.
D.
9.50 in.
3.
Two angles in a triangle measure 102° and 54°. What is the measure of
the third angle?
A.
156°
B.
48°
C.
34°
D.
24°
4.
A cube is cut into two equal pieces using a horizontal plane. The top half
of the cube is removed. A vertical plane cuts the remaining bottom piece
of the cube in half. What shape is the cross­section of the bottom piece
of the cube?
A.
square
B.
rectangle
C.
rhombus
D.
trapezoid
Surface Area Practice Test
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5.
An isosceles triangle has an angle that measures 68°. Which could be the
measure of another angle in the triangle?
A.
22°
B.
56°
C.
60°
D.
112°
6.
A 600­ft tall building is represented by a 30­in. tall model. Using the
same scale, what would be the model size of a 380­ft tall building?
A.
15 in.
B.
17 in.
C.
19 in.
D.
21 in.
7.
A plane will intersect the right rectangular prism below perpendicular to
the side it is resting on. The plane will form a cross section.
What is the area of the cross section?
A.
4.5 ft2
B.
9 ft2
C.
18 ft2
D.
36 ft2
Surface Area Practice Test
Page 3 of 17
David is building a scale model of a railroad station near his house. His
scale is 1 in. = 12 ft. The actual station is 540 ft long. What is the
length of the model of the railroad station?
8.
A.
50 ft
B.
45 ft
C.
42 ft
A right rectangular prism is sliced by a plane. Which CANNOT be the
shape of the cross section formed by the slice?
9.
A.
a parallelogram
B.
an octagon
C.
a trapezoid
D.
a triangle
10.
Look at the square pyramid.
The pyramid is cut by two planes. They each are perpendicular to the
base of the pyramid, and both pass through the vertex of the pyramid.
Which statement best describes the shapes of the cross sections formed
by the intersections of the planes and the pyramid?
A.
They are congruent triangles.
B.
They are congruent trapezoids.
C.
They are triangles but not necessarily congruent.
D.
They are trapezoids but not necessarily congruent.
Surface Area Practice Test
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11.
In triangle LMN, ∠L measures 40°, ∠M measures 60°, and ∠N measures
80°. Which lists the sides of the triangle in order from shortest length to
longest length?
A.
B.
C.
D.
12. How many unique triangles can be drawn with side lengths 4 centimeters (cm), 6 cm, and 8 cm?
A.
0
B.
1
C.
2
D.
3
Surface Area Practice Test
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13.
Elaine drew the model below of her room and bed. The scale of the
model is 1 in. = 2 ft.
What is the approximatearea of her actual bed?
A.
7 ft2
B.
14 ft2
C.
24 ft2
D.
28 ft2
14.
Two angles of a triangle measured 78° and 30°. What is the measure of
the third angle?
A.
60°
B.
62°
C.
72°
Surface Area Practice Test
Page 6 of 17
15.
The scale on a map is 1 inch = streets on the map is miles. The distance between two
inches. What is the actual distance between
these streets?
A.
miles
B.
miles
C.
miles
D.
miles
16.
A round table has a radius of 15 in. A round tablecloth hangs 2 in. over
the edge of the entire table. What is the approximate area of the
tablecloth?
A.
107 in.2
B.
707 in.2
C.
908 in.2
D.
1,134 in.2
17.
The sum of the measures of the three interior angles of any triangle is
always 180°. The unmarked angles of the triangle below total 150°.
What is the measure of an angle that would be complementary to A.
30°
B.
60°
C.
90°
D.
150°
Surface Area Practice Test
Page 7 of 17
18.
The diameter of the circle below measures 7 cm.
What is the approximate area of the circle?
A.
14 cm2
B.
22 cm2
C.
38 cm2
D.
154 cm2
19.
In the figure below, ray TX is perpendicular to line WY.
What is the measure of ∠TXZ?
A.
25°
B.
30°
C.
35°
Surface Area Practice Test
Page 8 of 17
20.
In the figure below, ∠EFH and ∠HFG are supplementary.
What is the measure of ∠EFH?
A.
100°
B.
114°
C.
135°
D.
144°
21.
Which equation represents x, the difference between and in this diagram?
A.
B.
C.
D.
Surface Area Practice Test
Page 9 of 17
22.
In the figure below, all lines intersect at point M. Angles GMH and HMI
are congruent.
What is the measure of angle KMI?
A.
136°
B.
132°
C.
92°
D.
44°
Surface Area Practice Test
Page 10 of 17
23. Angle measures are shown in the figure.
What is the difference in the measures of angle WVX and angle WXV?
A.
26°
B.
31°
C.
33°
D.
57°
24.
What is the approximate area of a circle with a radius of 1.6 cm?
A.
3 cm2
B.
5 cm2
C.
8 cm2
D.
10 cm2
25.
Kelly is wrapping paper around a box. The box is 18 in. long, 12 in. wide,
and 3 in. high. What is the minimum amount of paper Kelly needs to
completely wrap the box?
A.
306 in.2
B.
612 in.2
C.
648 in.2
Surface Area Practice Test
Page 11 of 17
26.
Each block on the graph below represents one unit. What is the approximatearea of the circle?
A.
100 units2
B.
88 units2
C.
79 units2
27.
The circumference of a circle is 19 in. What is the approximate diameter
of the circle?
A.
3 in.
B.
6 in.
C.
10 in.
D.
38 in.
Surface Area Practice Test
Page 12 of 17
28.
Figure EFGH is a parallelogram.
What is the measure of angle G?
A.
60°
B.
100°
C.
120°
29.
In the figure below, ∠1 measures x° and ∠2 measures 5x°.
What is the measure of ∠1?
A.
20°
B.
30°
C.
36°
D.
45°
Surface Area Practice Test
Page 13 of 17
30.
A circle has an area of approximately 615 square millimeters. What is the
diameter of the circle to the nearest millimeter? A.
196
B.
98
C.
28
D.
14
31.
Randy is planting grass in his rectangular backyard. A bag of grass seed
covers 8,000 ft2. His backyard measures 90 ft by 240 ft. There is a 36 ft
by 24 ft rectangular shed in the middle of the yard. How many bags of
grass seed will Randy need?
A.
5
B.
4
C.
3
D.
2
32.
Tricia made a circular mat from a square piece of cloth.
Which is closest to the circumference, in inches, of the circular mat?
A.
44 inches
B.
88 inches
C.
154 inches
D.
616 inches
Surface Area Practice Test
Page 14 of 17
33.
What is the approximate area of a circle with a diameter of 6.2 inches?
A.
9.7 square inches
B.
19.5 square inches
C.
30.2 square inches
D.
120.8 square inches
34.
In the figure below, angle PQS is 105°.
What is the measure of angle PQR?
A.
70°
B.
65°
C.
55°
35.
Mr. Stein builds a concrete patio that is 6 inches thick, 12 feet wide, and
20 feet long. The premixed concrete cost $2 per cubic foot. How much did
the concrete cost?
A.
$120
B.
$240
C.
$480
Surface Area Practice Test
Page 15 of 17
36.
The figure below is a parallelogram.
What is the value of x?
A.
9
B.
27
C.
36
37.
A wheel has a radius of 4.5 in. What is the approximate circumference
of the wheel?
A.
14 in.
B.
28 in.
C.
64 in.
38.
The vertex of an isosceles triangle is an angle of 50°, as shown below.
What is the measurement of one of the other two angles?
A.
40°
B.
65°
C.
75°
D.
130°
Surface Area Practice Test
Page 16 of 17
39.
What is the approximate area of this circle?
A.
11 ft2
B.
22 ft2
C.
38 ft2
D.
49 ft2
40.
The circumference of a circle is 16 ft. What is the approximate area of
the circle?
A.
20 ft2
B.
50 ft2
C.
80 ft2
D.
200 ft2
Surface Area Practice Test
Page 17 of 17