8th Grade Math Practice
Some questions (c) 2012 by Region 10 Educational Service Center.
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1 Triangle ABC is similar to triangle DEF.
3 Kate has a photo with dimension of 16
inches long by 20 inches wide. She wants
to dilate the photo so that the length is 10
inches. What would be the new width of
the photo?
A 6
B
8
What scale factor was used to dilate
C
12.5
triangle ABC to triangle DEF?
D 14
A 1.2
B
1.6
C
0.625
D 5.2
4 In class one day, Lance was reflecting
triangle ABC across a line to form triangle
A'B'C'. Triangle ABC had coordinates (­3,
2), (­5, 4) and (­3, 6). Triangle A'B'C' had
coordinates (­3, ­4), (­5, ­6), and (­3, ­
2 Mrs. Stewart placed a picture of an
equilateral triangle on the photocopy
8). What was the line of reflection for this
transformation?
machine. She wanted the triangle to be
reduced by a scale factor of 0.75. If the
length of each side of the actual triangle is
12 centimeters, what is the length of each
side of the reduced triangle on the copy?
5 Kayla has a circular dining table in her
home. If the circumference of her table is
F
11.25 cm
approximately 18.84 feet, what is the
G
9 cm
approximate area of the table?
H
16 cm
A 59.16 ft2
J
12.75 cm
B
18.84 ft2
C
28.26 ft2
D 113.04 ft2
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6 Look at the drawing below.
Is there enough information given in the picture to find the perimeter of the large triangle?
F
Yes, because I can find side l and then find the perimeter.
G
No, because I don't know side l.
H
Yes, because I know the length of the base.
7 Which figure below represents a triangle
with sides a, b and c in which the
relationship a2 + b2 = c 2 is NOT true?
A
B
C
D
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8 Look at the drawing shown below.
If the three squares come together to form a right triangle as indicated in the drawing, what is
the area of x?
F
77 in2
G
35 in2
H
49 in2
J
21 in2
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9 If ΔABC is a right triangle formed by the
10
A right triangle RST is drawn below. A
placement of three squares as shown
square is drawn onto each side of the
below, which is the closest to the area of
triangle. The area of square A is 25 cm²
the shaded square?
and the area of square B is 144 cm².
Determine the length, x, of the indicated
side of the right triangle.
A 570 in2
B
345 in2
C
90 in2
D 24 in2
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F
13 cm
G
17 cm
H
169 cm
J
119 cm
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11
Braden had a rectangular piece of construction paper that measured 18 inches by 10 inches. He
folded the construction paper in half twice, as shown in the diagram below.
What was the area of the rectangle formed by the first fold?
A 90 in2
B
45 in2
C
50 in2
D 28 in2
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12
Sheila’s car uses gasoline at an average
13
Mrs. Simpson wants to cover two of her
rate of 20 miles per gallon. She must drive
bulletin boards with paper. The drawing
from City A to City B. Use the ruler on the
below shows the dimensions of the
Mathematics Chart to measure the
bulletin boards.
distance from City A to City B in inches
on the diagram below.
How many gallons of gasoline will Sheila’s
car use at this rate when she drives from
City A to City B?
What is the least amount of paper that
F
360 gallons
Mrs. Simpson will need to cover both of
G
60 gallons
H
18 gallons
A 28 ft2
J
48 gallons
B
42 ft2
C
52 ft2
these bulletin boards?
D 46 ft2
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14
A circle with a radius of 3 and a center Q (1, 2) units is drawn on the coordinate plane below. Which of these points could be located on the circle?
F
(– 2, 2)
G
(4, 5)
H
(1, 3)
J
(3, 2)
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15
The coordinates of points A, B, and C are
(­1, 1), (­3, 3), and (­1, 5), as shown
below. Which could be the coordinates of point
D, in square ABCD?
A (0, 5)
B
(1, 3)
C
(1, 6)
D (2, 3)
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16
The points labeled on the coordinate plane below represent three of the four vertices of a
square.
What coordinates would represent the location of the fourth vertex of the square?
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17
Which quadrant in the coordinate plane
18
The drawing shows the top view of a solid
below has ONLY positive x and y values?
figure made of stacked cubes. The
numbers in the squares tell the number of
cubes in each stack.
Which is a 3 dimensional drawing of this
A Quadrant I
solid figure?
B
Quadrant II
F
C
Quadrant IV
G
H
J
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19
Danford bought some yogurt in a
container as shown below.
Which of the following best represents
the front view of the container?
A
B
C
D
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20
The drawing represents the view from directly above a three­dimensional figure that was built
with cubes. Which drawing below shows a three­dimensional figure that would have this view from directly
above?
F
G
H
J
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21
The drawing shows a solid figure made by stacking cubes.
Which drawing best represents a top view of this solid figure?
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A
B
C
D
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22
The graph below shows Line Segment AB.
If Line Segment AB is reflected over the y­axis, what would be the coordinates of B', the
reflection of B?
F
(–4, 7)
G
(–1, 3)
H
(1, –3)
J
(4, –7)
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23
In class one day, Jennifer was reflecting
triangle ABC across a line to form triangle
A'B'C'. Triangle ABC had coordinates:
(4, 1), (­2, 4) and (4, 4).
Triangle A'B'C' had coordinates:
(6, 1), (12, 4) and (6, 4).
What was the line of reflection for this
transformation?
A x = 5
B
y­axis
C
y = 5
D x­axis
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24
Triangle ABC has coordinates A(­6,6), B(­2,6) and C(­3,2). In the grid below, complete the
following steps.
A. Draw triangle ABC on the coordinate grid above.
B. Draw triangle A'B'C', the image of triangle ABC after it is translated 6 units to the right and 2
units up. Label the new coordinates of triangle A', B' and C'.
C. Draw triangle A" B"C", the reflection of triangle ABC across the x­axis. Label the new
coordinates of A", B", and C".
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25
Carlos drew a scale picture of his backyard for his landscaper. He wants a water feature in the
center of the yard which will be in the same shape as the yard.
What is the scale factor used to arrive at the image of ABCD that is to be his water feature?
A
B
C
D 2
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