TEST NAME: Geometry
TEST ID: 489169
GRADE: 07
SUBJECT: Mathematics
TEST CATEGORY: School Assessment
Geometry
Page 1 of 17
Student: Class:
Date:
1.
Mr. Koger asked the students in his class to construct a triangle with a
right angle, a 3 cm side, and a 6 cm side.
Part A. Sketch a triangle that meets these conditions. Label the right
angle and the 3 cm and 6 cm sides.
Part B. Do any other possible triangles fit these conditions? If so, sketch
the other possible triangles and label the right angle and sides.
Use words, numbers, and/or pictures to show your work.
2.
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
Geometry
Page 2 of 17
3.
Mario ordered a pizza that had a diameter of 14 in. What is the
approximate area of the pizza?
A.
22 in.2
B.
44 in.2
C.
154 in.2
D.
616 in.2
4.
What two­dimensional shape would result from slicing through this right
rectangular prism from one edge to another?
A.
a square
B.
a triangle
C.
a rectangle
D.
a pentagon
Geometry
Page 3 of 17
5. A patio surface is composed of a trapezoid and a rectangle. The dimensions, in yards (yd), of the patio surface
are shown.
What is the area of the patio surface in square yards?
A.
180
B.
220
C.
240
D.
300
6.
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
Geometry
Page 4 of 17
7.
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°
8.
A right rectangular prism is sliced by a plane. Which CANNOT be the
shape of the cross section formed by the slice?
A.
a parallelogram
B.
an octagon
C.
a trapezoid
D.
a triangle
Geometry
Page 5 of 17
Tricia made a circular mat from a square piece of cloth.
9.
Which is closest to the circumference, in inches, of the circular mat?
A.
44 inches
B.
88 inches
C.
154 inches
D.
616 inches
10.
Carla makes a scale drawing of her garden that is 30 feet long and 24
feet wide. If the garden in her drawing is 20 inches long, what is its
width, in inches?
A.
14
B.
16
C.
25
D.
26
Geometry
Page 6 of 17
11.
Workers put a sidewalk completely around a building that measures 40 ft
by 60 ft. The sidewalk is 5 ft away from each side of the building. The
sidewalk is 3 ft wide. What is the area of the sidewalk? A.
264 ft2
B.
756 ft2
C.
3,500 ft2
D.
4,256 ft2
Geometry
Page 7 of 17
12.
Yolanda has a circular tablecloth. She wants to put a ribbon around the outside edge.
She knows that the area of the tablecloth is . Which expression would help her find
the number of meters of ribbon she will need to go around the outside edge of the
tablecloth?
A.
B.
C.
D.
13.
Look at the figure below.
What is the value of x?
A.
19°
B.
22°
C.
67°
D.
71°
Geometry
Page 8 of 17
14.
Part A. Jeremy wants to put a fence around a circular swimming pool. He
knows the area of the pool's top surface is square meters. How much
fencing does Jeremy need for the pool? Be sure to show all work.
Part B. A second pool has an area on its top surface that is 20% greater
than the pool in part A. What is the measure of the radius, in meters, of
the second pool? Be sure to show all work.
Part C. What is the cost for fencing the pool in part B if one meter of
fence cost $65?
Use words, numbers, and/or pictures to show your work.
15.
A Stegosaurus skeleton at a museum has a height of 4 meters. The gift
shop at the museum sells a model of the Stegosaurus. The scale used to
create the model was 1 cm = 0.16 m. What is the height, in centimeters,
of the model of the Stegosaurus the gift shop sells?
A.
0.04 m
B.
0.064 m
C.
20 cm
D.
25 cm
16.
Ms. Warren had each student take 3 pencils and create a triangle with
them. Roberto has 3 pencils that measure 12 cm, 5 cm, and 7 cm. How
many triangles can Roberto create with his 3 pencils?
A.
infinitely many
B.
two
C.
one
D.
none
Geometry
Page 9 of 17
17.
The square pyramid below is intersected by plane A. The plane forms a
cross section. What is the shape of the cross section created by plane A?
A.
rhombus
B.
square
C.
trapezoid
D.
triangle
18.
What is the approximate area of the circle below?
A.
19 ft2
B.
38 ft2
C.
75 ft2
D.
113 ft2
Geometry
Page 10 of 17
19.
What is the approximate circumference of a circle with a radius of 5 in.?
A.
16 in.
B.
20 in.
C.
31 in.
D.
79 in.
20.
Alex is painting the interior of a rectangular box. The interior of the box
measures 12 in. wide, 12 in. long, and 6 in. high. If the lid is missing,
how much area will Alex paint?
A.
144 in.2
B.
288 in.2
C.
432 in.2
D.
864 in.2
21.
The area of the triangle below is 44 in.2
What is the length of the base (x)?
A.
2 in.
B.
4 in.
C.
6 in.
D.
8 in.
Geometry
Page 11 of 17
22.
A plane slices through a prism parallel to the bases to create a cross
section shaped like a right triangle.
If the prism stays in the same location, how could the plane be moved to
create a cross section shaped like a rectangle?
A.
move the plane so it slices through the prism perpendicular to the
bases
B.
move the plane so it slices through the prism intersecting the bases
at 45° angles
C.
move the plane up so it slices through the prism at a higher height
still parallel to the base
D.
move the plane down so it slices through the prism at a lower height
still parallel to the base
Geometry
Page 12 of 17
23.
What is the surface area of the rectangular prism below?
A.
79 in.2
B.
120 in.2
C.
158 in.2
24.
The length of two sides of triangle XYZ are 6 cm and 10 cm. Which set of
inequalities represents all the possible lengths, L, of of the third side of
triangle XYZ?
A.
L > 6 and L < 10
B.
L ≥ 6 and L ≤ 10
C.
L > 4 and L < 16
D.
L ≥ 4 and L ≤ 16
25.
A rectangular prism is cut perpedicular to its base. What two­dimensional
figure is formed by the cross section?
A.
triangle
B.
trapezoid
C.
rectangle
Geometry
Page 13 of 17
26.
Daniel painted the exterior of a wooden 7­cm cube. He did not paint the
bottom of the cube. How much area of the cube did Daniel paint?
A.
196 cm2
B.
245 cm2
C.
294 cm2
D.
343 cm2
27.
One side of a triangle measures 10 inches. Which could be the measures
of the other two sides of the triangle?
A.
3 inches and 8 inches
B.
4 inches and 6 inches
C.
5 inches and 15 inches
D.
6 inches and 18 inches
28.
The diameter of a circle on a coordinate plane has endpoints at (2, 3)
and (2, 8). What is the approximate area of the circle?
A.
16 units2
B.
20 units2
C.
25 units2
D.
79 units2
Geometry
Page 14 of 17
29.
The image below shows a plane slicing a cone. If the plane does not slice the base, which two­dimensional figures could
be the result from slicing a cone with a plane?
A.
a circle or an ellipse
B.
a triangle or a circle
C.
a triangle or a parallelogram
D.
an ellipse or a parallelogram
30.
A builder made a scale drawing of a rectangular room. The drawing has a
length of 6 inches and a width of 4.5 inches. The actual room will have a
length of 18 feet. What will be the area of the actual room?
A.
243 square feet
B.
260 square feet
C.
432 square feet
D.
486 square feet
Geometry
Page 15 of 17
31.
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
32. An architect created a scale model of a building she designed, as shown below.
The ratio of the scale model to the actual building is 2 inches (in.) to 15 feet (ft). What is the width of the actual
building?
A.
B.
C.
D.
Geometry
Page 16 of 17
33.
Lara draws some triangle models with the measurements she wants to
use to construct them. Which of these triangle constructions would NOT
be possible?
A.
a triangle with side measurements of 3, 4, and 6 inches
B.
a triangle with side measurements of 2, 3, and 5 inches
C.
a triangle with side measurements of 3, 3, and 4 inches
D.
a triangle with side measurements of 5, 5, and 5 inches
34.
In the figure below, ∠OQP is a right angle.
What is the measurement of ∠LQM?
A.
19°
B.
22°
C.
31°
D.
38°
35.
A triangle has two angles that measure 40° and 100°. What type of
triangle is this?
A.
scalene
B.
isosceles
C.
equilateral
Geometry
Page 17 of 17