FCAT Mathematics Sample Items for Grade 8

1
FCAT Mathematics Sample Items for Grade 8

• All questions are from the FCAT Mathematics Item
  Specification for Grades 6 - 8

2
Table of Content
Strand A Slides 3 16
Strand B Slides 17 36
Strand C Slides 37 56
Strand D Slides 57 74
Strand E Slides 75 - 89
3
MA.A.1.3.2
understands the relative size of integers,
fractions, and decimals numbers expressed as
percents numbers with exponents numbers in
scientific notation radicals absolute value
and ratios. MC
1) The coldest temperatures on record for
four southern states are -2ºF, -27ºF, -34ºF, and
-17º F. Which of the following shows these
temperatures in order from least to greatest?

• -2º, -17º, -34º, -27º
• -2º, -27º, -34º, -17º
• -34º, -27º, -17º, -2º
• -34º, -17º, -27º, -2º

8th Grade
4
MA.A.1.3.4
2) Mr. Link has harvested 27 acres of his
36-acre orange grove, or 27/36 of the grove. What
is another way to express this number?
understands that numbers can be represented in a
variety of equivalent forms, including integers,
fractions, decimals, percents, scientific
notation, exponents, radicals, and absolute
value. (Also assesses A.1.3.1 and A.1.3.3) MC,
GR
3 / 4
Other Correct Responses 9/12, 0.75
8th Grade
5
MA.A.1.3.4
understands that numbers can be represented in a
variety of equivalent forms, including integers,
fractions, decimals, percents, scientific
notation, exponents, radicals, and absolute
value. (Also assesses A.1.3.1 and A.1.3.3) MC,
GR

• 3) In 1992, the Orlando International Airport
  served approximately 21,000,000 passengers. Which
  of the following is NOT another way of expressing
  the number 21,000,000?
• 2.1 107
• 21 106
• C. 21 million
• D. 2.1 million

8th Grade
6
MA.A.1.3.4
4) Steves friend wants to know how many
students are in Steves poetry club. Steve used
the expression below to represent the number of
students in the club.
understands that numbers can be represented in a
variety of equivalent forms, including integers,
fractions, decimals, percents, scientific
notation, exponents, radicals, and absolute
value. (Also assesses A.1.3.1 and A.1.3.3) MC,
GR
How many students are in Steves poetry club?
2 1
8th Grade
7
MA.A.2.3.1
understands and uses exponential and scientific
notation. MC, GR

• 5) A space shuttle can travel at a speed of 3
  107
• meters per hour. At this speed, how far will it
  travel in
• 24 hours?
• 3.0 107 meters
• B. 3.0 108 meters
• C. 7.2 107 meters
• D. 7.2 108 meters

8th Grade
8
MA.A.2.3.1
understands and uses exponential and scientific
notation. MC, GR
6) What is the value of the following
expression? 93 54
1 0 4
8th Grade
9
MA.A.3.3.1
understands and explains the effects of addition,
subtraction, multiplication, and division on
whole numbers, fractions, including mixed
numbers, and decimals, including the inverse
relationships of positive and negative
numbers. MC
7) When multiplying a whole number greater than
1 by a positive fraction less than 1, the product
is which of the following? A. greater than the
whole number B. less than the whole number C.
less than the fraction D. equal to 1
8th Grade
10
MA.A.3.3.2
selects the appropriate operation to solve
problems involving addition, subtraction, multipli
cation, and division of rational numbers, ratios,
proportions, and percents, including the
appropriate application of the algebraic order of
operations. MC, GR

• 8) In what order should the operations be
  performed in the expression below?
• 4 8 2 3 1
• , , ,
• , , ,
• C. , , ,
• D. , , ,

8th Grade
11
MA.A.3.3.2
selects the appropriate operation to solve
problems involving addition, subtraction, multipli
cation, and division of rational numbers, ratios,
proportions, and percents, including the
appropriate application of the algebraic order of
operations. MC, GR
9) What is the value of the expression below?
3 -1 4 8 2 3
1 / 8
Other Correct Responses 2/16, 0.125
8th Grade
12
MA.A.3.3.3
adds, subtracts, multiplies, and divides whole
numbers, decimals, and fractions, including mixed
numbers, to solve real-world problems, using
appropriate methods of computing, such as mental
mathematics, paper and pencil, and
calculator. MC, GR

• 10) Todd bought a pair of sneakers, originally
  priced at 64.95 and marked down 15. The sale
  price was then further reduced by 10. How much
  did Todd pay for the sneakers, including 6 sales
  tax?
• 48.71
• 49.69
• C. 51.64
• D. 52.67

8th Grade
13
MA.A.3.3.3
adds, subtracts, multiplies, and divides whole
numbers, decimals, and fractions, including mixed
numbers, to solve real-world problems, using
appropriate methods of computing, such as mental
mathematics, paper and pencil, and
calculator. MC, GR
11) Kirk and his father are on a 200-mile
bicycle trip across Florida. They plan to ride
for five days. During the first four days, they
traveled the following distances 45.8 miles, 42
miles, 41.5 miles, and 38.4 miles. How many more
miles do Kirk and his father have to travel to
reach their 200-mile goal?
3 2 . 3
8th Grade
14
MA.A.3.3.3
12) Ramón is purchasing 2 pairs of pants priced
at 21 per pair, 3 shirts priced at 10 each, and
1 pair of shoes priced at 36. All of these
prices are before tax. The price of every item
Ramón is purchasing will be reduced by 20 when
his total purchase is being calculated, before
tax is added. What dollar amount will be
subtracted from Ramóns total purchase, before
tax?
adds, subtracts, multiplies, and divides whole
numbers, decimals, and fractions, including mixed
numbers, to solve real-world problems, using
appropriate methods of computing, such as mental
mathematics, paper and pencil, and
calculator. MC, GR
2 1 . 6
8th Grade
15
MA.A.4.3.1
13) Margo wants to cover the top of her table
with a mosaic pattern made of different-colored
tiles. The tiles come in boxes that each contain
125 tiles. Margo has determined that Section 1 of
the table top, shown in the drawing below, will
require approximately 57 tiles to complete the
pattern.
uses estimation strategies to predict results and
to check the reasonableness of results. (Also
assesses A.4.2.1, B.2.3.1, and B.3.3.1) MC
8th Grade
16
MA.A.4.3.1
Which is closest to the whole number of boxes of
tiles Margo should purchase to complete the
mosaic design for the entire table top?
uses estimation strategies to predict results and
to check the reasonableness of results. (Also
assesses A.4.2.1, B.2.3.1, and B.3.3.1) MC

1. 6
2. 10
3. 200
4. 600

8th Grade
17
MA.B.1.3.1
uses concrete and graphic models to derive
formulas for finding perimeter, area, surface
area, circumference, and volume of two-
and three-dimensional shapes, including rectangula
r solids and cylinders. (Also assesses B.1.2.2
and B.2.3.1) Grades 67 MC, GR Grade 8 GR, SR
14) Sachi is building a brick patio and needs to
determine its total area. The dimensions of the
patio are shown in the diagram below.
11 feet
13 feet
9 feet
16 feet
8th Grade
18
MA.B.1.3.1
uses concrete and graphic models to derive
formulas for finding perimeter, area, surface
area, circumference, and volume of two-
and three-dimensional shapes, including rectangula
r solids and cylinders. (Also assesses B.1.2.2
and B.2.3.1) Grades 67 MC, GR Grade 8 GR, SR
What is the total area, in square feet, of the
patio?
1 5 4
8th Grade
19
MA.B.1.3.1
uses concrete and graphic models to derive
formulas for finding perimeter, area, surface
area, circumference, and volume of two-
and three-dimensional shapes, including rectangula
r solids and cylinders. (Also assesses B.1.2.2
and B.2.3.1) Grades 67 MC, GR Grade 8 GR, SR
15) A cylindrical column 12 centimeters in
diameter is strengthened by wrapping one steel
band around the base of the column, with no
overlap. What should be the length of the steel
band in centimeters (cm)?
2 6 4 / 7
Other Correct Responses 37.68, 37.71
8th Grade
20
MA.B.1.3.1
16) Calvin is preparing a training schedule and
needs to determine the distance around the school
track. The track coach gave him the drawing below
and told him that the track is composed of two
straight segments with the ends of the track in
the shape of semicircles with a radius of 35
meters.
uses concrete and graphic models to derive
formulas for finding perimeter, area, surface
area, circumference, and volume of two-
and three-dimensional shapes, including rectangula
r solids and cylinders. (Also assesses B.1.2.2
and B.2.3.1) Grades 67 MC, GR Grade 8 GR, SR
90 meters
35 meters
35 meters
What is the distance around the track? In the
Answer Book, show your work or explain in words
how you determined the distance.
8th Grade
21
MA.B.1.3.1
uses concrete and graphic models to derive
formulas for finding perimeter, area, surface
area, circumference, and volume of two-
and three-dimensional shapes, including rectangula
r solids and cylinders. (Also assesses B.1.2.2
and B.2.3.1) Grades 67 MC, GR Grade 8 GR, SR
In the Answer Book Show your work or explain in
words how you determined the distance.
Distance __________________
A correct and complete response includes the
distance and valid work or explanation as shown
below. A distance 400 meters or 399.8 meters
or 70p 180 meters (using 3.14 for p) AND Valid
work that leads to a correct response (using22/7
for p) 90 m 90 m 180 m,22/7 70 220 m,220
m 180 m 400 m OR an explanation similar to
the following The length of the two straight
segments of the track is 90 m 90 m 180 m. The
distance around one end of the track is half the
distance around a circle. The distance around
both ends of the track is the circumference of a
circle.
8th Grade
22
MA.B.1.3.2
uses concrete and graphic models to derive
formulas for finding rates, distance, time, and
angle measures. (Also assesses B.1.2.2 and
B.2.3.1) Grade 6 (Assessed with
C.1.3.1) Grades 78 MC, GR
17) Under water, a sound wave travels 73,920
feet in 14 seconds. What is the speed of a sound
wave in feet per second?
5 2 8 0
8th Grade
23
MA.B.1.3.2
18) Dominic drove from Salt Lake City, Utah, to
Bryce Canyon National Park in 6 hours and 45
minutes at an average speed of 48 miles per hour.
What is his driving distance, in miles?
uses concrete and graphic models to derive
formulas for finding rates, distance, time, and
angle measures. (Also assesses B.1.2.2 and
B.2.3.1) Grade 6 (Assessed with
C.1.3.1) Grades 78 MC, GR

1. 208
2. 302.4
3. 309.6
4. 324

8th Grade
24
MA.B.1.3.2
19) The drawing below shows the distances, in
miles, between some Florida cities.
uses concrete and graphic models to derive
formulas for finding rates, distance, time, and
angle measures. (Also assesses B.1.2.2 and
B.2.3.1) Grade 6 (Assessed with
C.1.3.1) Grades 78 MC, GR
8th Grade
25
MA.B.1.3.2
Henry will drive from Ft. Myers to Naples and
then will drive along the Tamiami Trail to Miami
at an average rate of 60 miles per hour. How many
hours should it take Henry to drive nonstop from
Ft. Myers to Miami using this route?
uses concrete and graphic models to derive
formulas for finding rates, distance, time, and
angle measures. (Also assesses B.1.2.2 and
B.2.3.1) Grade 6 (Assessed with
C.1.3.1) Grades 78 MC, GR
2 . 4
8th Grade
26
MA.B.1.3.3
understands and describes how the change of a
figure in such dimensions as length, width,
height, or radius affects its other measurements
such as perimeter, area, surface area, and
volume. (Also assesses C.2.3.1) MC, GR

• 20) A park sculpture has a base in the shape of a
  rectangular prism. The sculptures base has a
  volume of 960 cubic inches. An artist is making a
  model of the sculpture with dimensions half the
  size of the actual sculpture. What is the volume
  of the base on the artists model?
• A. 120 cubic inches
• B. 240 cubic inches
• C. 480 cubic inches
• D. 960 cubic inches

8th Grade
27
MA.B.1.3.3
21) A rectangular lot on wildlife preserve land
has dimensions of 5 miles by 8 miles. If the
dimensions of the lot are doubled, by how many
times will the area increase?
understands and describes how the change of a
figure in such dimensions as length, width,
height, or radius affects its other measurements
such as perimeter, area, surface area, and
volume. (Also assesses C.2.3.1) MC, GR
4
8th Grade
28
MA.B.1.3.3
22) Meri will increase the length of her
rectangular patio and rectangular driveway by 5
feet, as shown in the diagram below.
understands and describes how the change of a
figure in such dimensions as length, width,
height, or radius affects its other measurements
such as perimeter, area, surface area, and
volume. (Also assesses C.2.3.1) MC, GR
8th Grade
29
MA.B.1.3.3
By how many square feet will the total area of
the patio and driveway increase when the length
of each is increased as shown?
understands and describes how the change of a
figure in such dimensions as length, width,
height, or radius affects its other measurements
such as perimeter, area, surface area, and
volume. (Also assesses C.2.3.1) MC, GR
1 5 0
8th Grade
30
MA.B.1.3.4
constructs, interprets, and uses scale drawings
such as those based on number lines and maps to
solve real-world problems. (Also assesses
B.2.3.1) MC, GR
23) Hector is going to visit relatives in
Bellville this summer. He wants to know how far
Bellville is from his home in Aimsworth. He found
the map below.
On the map, Hector measured a total of 3 inches
from Aimsworth to Bellville. Based on the map
scale above, how many miles is it from Aimsworth
to Bellville? A.15 miles B.30 miles C.50
miles D.60 miles
8th Grade
31
MA.B.1.3.4
24) Carmello is making a model of our solar
system. He wants his model to look like the one
shown below.
constructs, interprets, and uses scale drawings
such as those based on number lines and maps to
solve real-world problems. (Also assesses
B.2.3.1) MC, GR
The average distance between the orbital paths of
Mercury and Venus is approximately 31.2 million
miles. According to the scale above, how far
apart, in centimeters, should the orbital paths
be on the model?
8th Grade
32
MA.B.1.3.4
constructs, interprets, and uses scale drawings
such as those based on number lines and maps to
solve real-world problems. (Also assesses
B.2.3.1) MC, GR
The average distance between the orbital paths of
Mercury and Venus is approximately 31.2 million
miles. According to the scale above, how far
apart, in centimeters, should the orbital paths
be on the model?
5 . 2
8th Grade
33
MA.B.1.3.4
25) Mr. Ogimachi will travel from Holt City to
Valley View for a business trip. He plans to
leave Holt City at 645 a.m. He used the map
below to estimate the distance from Holt City to
Valley View, and determined the distance on the
map to be 9 centimeters (cm).
constructs, interprets, and uses scale drawings
such as those based on number lines and maps to
solve real-world problems. (Also assesses
B.2.3.1) MC, GR
8th Grade
34
MA.B.1.3.4
constructs, interprets, and uses scale drawings
such as those based on number lines and maps to
solve real-world problems. (Also assesses
B.2.3.1) MC, GR
If Mr. Ogimachi drives at an average rate of 60
kilometers (km) per hour without stopping, which
of the following is closest to the time he should
arrive in Valley View?

1. 820 a.m.
2. 825 a.m.
3. 900 a.m.
4. 1045 a.m.

8th Grade
35
MA.B.2.3.2
26) The round steel rod shown below is 5.75 feet
long. If a steelworker cuts the steel rod into 10
equal pieces, approximately how many inches long
will each piece be?
solves problems involving units of measure and
converts answers to a larger or smaller unit
within either the metric or customary
system. MC, GR

• 0.479 inches
• 0.575 inches
• C. 5.75 inches
• D. 6.9 inches

8th Grade
36
MA.B.2.3.2
27) The distance from Roberts house to a boat
dock is 425 meters. Robert walks to the dock and
back to his house each day. After 3 days, how
far, in kilometers, will Robert have walked?
solves problems involving units of measure and
converts answers to a larger or smaller unit
within either the metric or customary
system. MC, GR
2 . 5 5
8th Grade
37
MA.C.1.3.1
28) Triangle ABC is an isosceles triangle.
understands the basic properties of, and
relationships pertaining to, regular and
irregular geometric shapes in two and
three dimensions. (Also assesses C.1.2.1) MC
What is the measure of Angle A? A. 44 B. 68 C.
112 D. 136
8th Grade
38
MA.C.1.3.1
29) The figure below is composed of several
triangles.
understands the basic properties of, and
relationships pertaining to, regular and
irregular geometric shapes in two and
three dimensions. (Also assesses C.1.2.1) MC
Which of the following pairs of line segments in
the figure must be parallel?
8th Grade
39
MA.C.2.3.1
30) Before she can enter a race, Jasmine needs
to know the height of her sailboat. Jasmine is 5
feet tall and casts a shadow 6 feet long, as
shown below.
understands the geometric concepts of symmetry,
reflections, congruency, similarity, perpendicular
ity, parallelism, and transformations, including
flips (reflections), slides (translations), turns
(rotations), and enlargements. (Also assesses
B.1.3.3, C.1.2.1, C.1.3.1, and C.3.3.1) Grades
67 MC Grade 8 MC, ER
If the lengths of the sailboats shadow and
Jasmines shadow at the same time of day are
known, which of the following properties could be
used to find the height (h), in feet, of the
sailboat? A. congruency B. parallelism C.
symmetry D. similarity
8th Grade
40
MA.C.2.3.1
31) Look at the figures below showing a floor
tile design. Figure 1 was transformed to make the
new design in Figure 2 using only two steps.
understands the geometric concepts of symmetry,
reflections, congruency, similarity, perpendicular
ity, parallelism, and transformations, including
flips (reflections), slides (translations), turns
(rotations), and enlargements. (Also assesses
B.1.3.3, C.1.2.1, C.1.3.1, and C.3.3.1) Grades
67 MC Grade 8 MC, ER
8th Grade
41
MA.C.2.3.1
Complete the following in the Answer Book Part
A Explain in words how Figure 1 can be
transformed to Figure 2 in only two steps. Use
mathematical terms to describe the
transformation. Part B On the grid, draw Figure
3 by making the following transformations to
Figure 2 Rotate Figure 2 ninety degrees
clockwise around point D and reflect the rotated
figure over vertical line n. Be sure to label
this new figure as Figure 3, and also label
points A, B, C, and D. Part C Explain in words
whether Figures 1, 2, and 3 are congruent or not,
and why.
understands the geometric concepts of symmetry,
reflections, congruency, similarity, perpendicular
ity, parallelism, and transformations, including
flips (reflections), slides (translations), turns
(rotations), and enlargements. (Also assesses
B.1.3.3, C.1.2.1, C.1.3.1, and C.3.3.1) Grades
67 MC Grade 8 MC, ER
8th Grade
42
A correct and complete response includes
appropriate Response explanations and an
appropriate drawing. Part A An explanation
similar to the following First I reflected
Figure 1 over line n. Then I rotated it clockwise
90 about point C1. OR I rotated Figure 1 90
counterclockwise about point C and reflected it
over line n. OR other valid explanation AND Part
B Correctly drawn and labeled figure, as shown
on the grid. AND Part C An explanation
similar to the following All three figures are
congruent because their size and shape are
exactly the same only their positions are
different. OR other valid explanation.
MA.C.2.3.1
understands the geometric concepts of symmetry,
reflections, congruency, similarity, perpendicular
ity, parallelism, and transformations, including
flips (reflections), slides (translations), turns
(rotations), and enlargements. (Also assesses
B.1.3.3, C.1.2.1, C.1.3.1, and C.3.3.1) Grades
67 MC Grade 8 MC, ER
8th Grade
43
MA.C.2.3.1
32) The diagram below shows a side view of a
bridge. In the diagram, ABC is congruent to DEF.
understands the geometric concepts of symmetry,
reflections, congruency, similarity, perpendicular
ity, parallelism, and transformations, including
flips (reflections), slides (translations), turns
(rotations), and enlargements. (Also assesses
B.1.3.3, C.1.2.1, C.1.3.1, and C.3.3.1) Grades
67 MC Grade 8 MC, ER
Which statement about BAC and DEF must be true?
A. They must have equal measures B. They must
each measure at least 45 degrees C. Their
measures must have a sum of 90 degrees D. Their
measures must have a sum of 180 degrees
8th Grade
44
33) The Wilford Outdoor Advertising Agency
sought a building whose side was tall enough to
accommodate an 18-meter high rectangular
billboard. The advertising artist found a
building he thought might work. He is 2 meters
tall and on the morning he examined the building,
he cast a shadow 0.5 meter long, while the
building cast a shadow 4 meters long.
MA.C.2.3.1
understands the geometric concepts of symmetry,
reflections, congruency, similarity, perpendicular
ity, parallelism, and transformations, including
flips (reflections), slides (translations), turns
(rotations), and enlargements. (Also assesses
B.1.3.3, C.1.2.1, C.1.3.1, and C.3.3.1) Grades
67 MC Grade 8 MC, ER
8th Grade
45
MA.C.2.3.1
Part A Write a proportion which could be used to
find the height of the side of the building. Let
x represent the height of the side of the
building in meters.
understands the geometric concepts of symmetry,
reflections, congruency, similarity, perpendicular
ity, parallelism, and transformations, including
flips (reflections), slides (translations), turns
(rotations), and enlargements. (Also assesses
B.1.3.3, C.1.2.1, C.1.3.1, and C.3.3.1) Grades
67 MC Grade 8 MC, ER
Part B Use your proportion in Part A to find the
height of the building. Show all work necessary
to justify your answer.
Part C The advertising artist came back to the
building at 400 in the afternoon to recheck the
building. At that time, his shadow was 1.5 meters
long. How long, in meters, should the buildings
shadow have been at that time? Show all work
necessary to justify your answer.
8th Grade
46
MA.C.2.3.1
understands the geometric concepts of symmetry,
reflections, congruency, similarity, perpendicular
ity, parallelism, and transformations, including
flips (reflections), slides (translations), turns
(rotations), and enlargements. (Also assesses
B.1.3.3, C.1.2.1, C.1.3.1, and C.3.3.1) Grades
67 MC Grade 8 MC, ER
8th Grade
47
MA.C.2.3.1
understands the geometric concepts of symmetry,
reflections, congruency, similarity, perpendicular
ity, parallelism, and transformations, including
flips (reflections), slides (translations), turns
(rotations), and enlargements. (Also assesses
B.1.3.3, C.1.2.1, C.1.3.1, and C.3.3.1) Grades
67 MC Grade 8 MC, ER
8th Grade
48
MA.C.3.3.1
34) Jack wants to make ?LMN similar to ?PQR. He
has plotted points L and M on the grid below and
needs to place point N. Which of the following
coordinates of point N would make ?LMN similar to
?PQR?
represents and applies geometric properties and
relationships to solve real-world and
mathematical problems. (Also assesses C.2.3.1,
C.2.3.2, and C.3.2.2) Grades 6 MC Grades 7 MC,
GR Grade 8 MC, SR
A. ( 0, -1) B. (-3, -1) C. (-1, -1) D. (-6, -1)
8th Grade
49
MA.C.3.3.1
35) You are designing a camping tent with an
octagon-shaped base and have drawn a diagram of
the base on the coordinate grid below.
represents and applies geometric properties and
relationships to solve real-world and
mathematical problems. (Also assesses C.2.3.1,
C.2.3.2, and C.3.2.2) Grades 6 MC Grades 7 MC,
GR Grade 8 MC, SR
8th Grade
50
MA.C.3.3.1
Complete the following in the Answer Book Part
A How many lines of symmetry does this diagram
have? Part B Draw all the lines of symmetry on
the diagram and determine the coordinates for the
point at which the lines intersect.
represents and applies geometric properties and
relationships to solve real-world and
mathematical problems. (Also assesses C.2.3.1,
C.2.3.2, and C.3.2.2) Grades 6 MC Grades 7 MC,
GR Grade 8 MC, SR
A correct and complete response includes the
correct Response number of lines of symmetry, a
correct drawing of the lines of symmetry on the
grid, and the correct coordinates for the point
of intersection as shown below. Part A Lines
of symmetry 4 AND Part B Four lines of
symmetry correctly drawn on the diagram AND
Coordinates (4, 3)
8th Grade
51
MA.C.3.3.1
represents and applies geometric properties and
relationships to solve real-world and
mathematical problems. (Also assesses C.2.3.1,
C.2.3.2, and C.3.2.2) Grades 6 MC Grades 7 MC,
GR Grade 8 MC, SR
8th Grade
52
36) In architecture, coordinate planes are used
to help make design layouts for buildings. The
grid below represents a building layout with
several points plotted.
MA.C.3.3.1
represents and applies geometric properties and
relationships to solve real-world and
mathematical problems. (Also assesses C.2.3.1,
C.2.3.2, and C.3.2.2) Grades 6 MC Grades 7 MC,
GR Grade 8 MC, SR
8th Grade
53
MA.C.3.3.1
Part A On the coordinate plane above, plot and
label points C (-5, -2) and F (6, 9).
Then draw the following line segments AC, BC,
DF, and EF. Part B The distance between
points C and F is the widest part of the
building. What is the width, in feet, of the
widest part of the building? Show all work
necessary to justify your answer.
represents and applies geometric properties and
relationships to solve real-world and
mathematical problems. (Also assesses C.2.3.1,
C.2.3.2, and C.3.2.2) Grades 6 MC Grades 7 MC,
GR Grade 8 MC, SR
8th Grade
54
MA.C.3.3.1
Top-Score Response
represents and applies geometric properties and
relationships to solve real-world and
mathematical problems. (Also assesses C.2.3.1,
C.2.3.2, and C.3.2.2) Grades 6 MC Grades 7 MC,
GR Grade 8 MC, SR
8th Grade
55
MA.C.3.3.1
Top-Score Response
represents and applies geometric properties and
relationships to solve real-world and
mathematical problems. (Also assesses C.2.3.1,
C.2.3.2, and C.3.2.2) Grades 6 MC Grades 7 MC,
GR Grade 8 MC, SR
8th Grade
56
MA.C.3.3.2
37) What are the coordinates of the y-intercept
of line QR?
identifies and plots ordered pairs in all four
quadrants of a rectangular coordinate system
(graph) and applies simple properties of
lines. MC
A. (2, 0) B. (0, 2) C. (-1, 0) D. (0, -1)
8th Grade
57
MA.D.1.3.1
38) A graphic artist has drawn the pattern shown
below.
describes a wide variety of patterns,
relationships, and functions through models, such
as manipulatives, tables, graphs, expressions,
equations, and inequalities. (Also assesses
A.5.3.1) MC, GR
If the artist continues the pattern, what will
Row 15 look like?
8th Grade
58
MA.D.1.3.1
39) Use the function table to find the value of
y when x 5.
describes a wide variety of patterns,
relationships, and functions through models, such
as manipulatives, tables, graphs, expressions,
equations, and inequalities. (Also assesses
A.5.3.1) MC, GR
1 6
8th Grade
59
40) The diagram below shows some rows of
Pascals triangle.
MA.D.1.3.1
describes a wide variety of patterns,
relationships, and functions through models, such
as manipulatives, tables, graphs, expressions,
equations, and inequalities. (Also assesses
A.5.3.1) MC, GR
Which of the following should be in row 5 of
Pascals triangle?
8th Grade
60
41) The femur, or thighbone, is the longest bone
in the human body. Scientists can calculate a
persons approximate height by measuring the
length of the persons femur. The table below
shows the linear relationship between femur
length (f) and a persons height (h).
MA.D.1.3.1
describes a wide variety of patterns,
relationships, and functions through models, such
as manipulatives, tables, graphs, expressions,
equations, and inequalities. (Also assesses
A.5.3.1) MC, GR
8th Grade
61
MA.D.1.3.1
A scientist measures a human femur bone that is
40 centimeters long. What is the value of h when
f has a value of 40?
describes a wide variety of patterns,
relationships, and functions through models, such
as manipulatives, tables, graphs, expressions,
equations, and inequalities. (Also assesses
A.5.3.1) MC, GR
1 6 9
8th Grade
62
MA.D.1.3.2
42) A holiday shop buys a box of ornaments for
51.00 and resells them for 7.00 per ornament.
If x represents the number of ornaments in a box,
which of the following expressions could be used
to find the difference between the selling price
and the cost of one box of ornaments? A. 7x
51 B. 7x - 51 C. 51x 7 D. 51x - 7
creates and interprets tables, graphs, equations,
and verbal descriptions to explain
cause-and-effect relationships. (Also assesses
A.5.3.1) Grades 67 MC, GR Grade 8 MC, GR, SR
8th Grade
63
MA.D.1.3.2
43) What is the value of the expression -3x 7,
when x -6?
creates and interprets tables, graphs, equations,
and verbal descriptions to explain
cause-and-effect relationships. (Also assesses
A.5.3.1) Grades 67 MC, GR Grade 8 MC, GR, SR
2 5
8th Grade
64
MA.D.1.3.2
44) Lyndsey is designing a border using a row of
hexagonal tiles with each side measuring 1 foot.
She made the following table to determine the
perimeter of the border as the number of tiles
used increases.
creates and interprets tables, graphs, equations,
and verbal descriptions to explain
cause-and-effect relationships. (Also assesses
A.5.3.1) Grades 67 MC, GR Grade 8 MC, GR, SR
Part A Write a rule or expression that could be
used to determine the perimeter of the border
using any number of tiles (n). Part B Based on
the rule or expression you wrote in Part A, what
will be the perimeter if Lyndsey uses 25 tiles in
her border?
8th Grade
65
Top-Score Response
MA.D.1.3.2
A correct and complete response includes a
correct rule or expression and the correct answer
for 25 tiles. Valid expression equivalent to
the following 4n 2 OR Valid rule similar
to the following Multiply the number of tiles by
four and then add two. OR other valid rule or
expression written in words or symbols AND
Valid answer equivalent to the following
4(25) 2 100 2 Perimeter 102 feet
creates and interprets tables, graphs, equations,
and verbal descriptions to explain
cause-and-effect relationships. (Also assesses
A.5.3.1) Grades 67 MC, GR Grade 8 MC, GR, SR
8th Grade
66
MA.D.1.3.2
45) The equation below is used to find C, the
total charge in dollars, not including tax, for a
purchase of company jackets ( j) that have a
specific design and color.
creates and interprets tables, graphs, equations,
and verbal descriptions to explain
cause-and-effect relationships. (Also assesses
A.5.3.1) Grades 67 MC, GR Grade 8 MC, GR, SR
What is the total charge, not including tax, for
a purchase of 300 jackets?
A. 120 B. 200 C. 6100 D. 36,000
8th Grade
67
MA.D.2.3.1

• 46) In professional ice hockey, a team earns 2
  points for a win, 1 point for a tie, and 0 points
  for a loss. During the first half of the
  1996-1997 season, one team had 8 losses and 10
  ties, and had earned 62 points. Which of the
  following equations could be used to determine
  the number of wins (w) this team had?
• 62 w 8
• 62 w 10
• 62 2w 10
• 62 2w 8

represents and solves real-world problems
graphically, with algebraic expressions,
equations, and inequalities. (Also assesses
A.1.3.3) Grades 67 MC Grade 8 MC, SR
8th Grade
68
MA.D.2.3.1
47) The average yearly rainfall for a town in
California is 14 inches. For the past 10 years,
the yearly rainfall has been not more than 6
inches above or below that average. Which number
line below shows the range of the yearly rainfall
for the past 10 years?
represents and solves real-world problems
graphically, with algebraic expressions,
equations, and inequalities. (Also assesses
A.1.3.3) Grades 67 MC Grade 8 MC, SR
8th Grade
69
MA.D.2.3.1
48) A shop owner buys a box of identical photo
albums for 51.00 and sells them for 7.00 per
photo album. If x represents the number of photo
albums in a box, which of the following
expressions could be used to find the difference
between the total selling price and the cost of 1
box of photo albums?
represents and solves real-world problems
graphically, with algebraic expressions,
equations, and inequalities. (Also assesses
A.1.3.3) Grades 67 MC Grade 8 MC, SR

• 7x 51
• 7x - 51
• 51x 7
• 51x - 7

8th Grade
70
MA.D.2.3.1
49) Samuel went with his family to Alligator
Park. While they were waiting for the alligator
show to start, a park employee told their group
that if there were 3 more alligators in the pond,
there would be a total of 140 legs on the
alligators in the water.
represents and solves real-world problems
graphically, with algebraic expressions,
equations, and inequalities. (Also assesses
A.1.3.3) Grades 67 MC Grade 8 MC, SR
Part A Write an equation that could be used to
determine the number of alligators (a) in the
pond. (Assume that each alligator has 4 legs).
Part B Solve your equation from Part A to
determine the number of alligators in the pond.
8th Grade
71
MA.D.2.3.1
Top-Score Response
represents and solves real-world problems
graphically, with algebraic expressions,
equations, and inequalities. (Also assesses
A.1.3.3) Grades 67 MC Grade 8 MC, SR
A correct and complete response includes the
correct equation and the correct answer as shown
below. An equation equivalent to the
following 4n 12 140 OR other valid
equation AND The number of alligators 32
8th Grade
72
MA.D.2.3.2
50) Miko is flying her plane within its safety
limit at an altitude of 35,000 feet. To avoid a
storm, she ascends 5,500 feet without going past
the plane's safety limit. Based on the inequality
of a 5,500 35,000, where a represents the
original altitude in feet, which of the following
could be the original altitude of the plane?
uses algebraic problem-solving strategies to
solve real-world problems involving linear
equations and inequalities. MC, GR

• 40,000 feet
• 30,000 feet
• 29,750 feet
• 27,750 feet

8th Grade
73
MA.D.2.3.2
51) The Chatham County Water Department charges
a monthly administrative fee of 9.40 and 0.0049
for each gallon of water used up to 5,000
gallons. The equation to figure the total cost,
C, for use of up to 5,000 gallons is C 9.4
(g 0.0049), where g is the number of gallons
up to 5,000. What will be the monthly charge
for a customer who used 4,100 gallons of water in
one month?
uses algebraic problem-solving strategies to
solve real-world problems involving linear
equations and inequalities. MC, GR
2 9 . 4 9
8th Grade
74
52) The Chatham County Water Department charges
a monthly administrative fee of 9.40 and 0.0049
for each gallon of water used up to 5,000
gallons. The equation to figure the total cost,
C, for use of up to 5,000 gallons is C 9.4
(g 0.0049), where g is the number of gallons
up to 5,000. If a customers total cost was
29.49 for one month, what was the total number
of gallons of water used that month?
MA.D.2.3.2
uses algebraic problem-solving strategies to
solve real-world problems involving linear
equations and inequalities. MC, GR
4 1 0 0
8th Grade
75
MA.E.1.3.1
53) Each water molecule is made up of one oxygen
atom that weighs approximately 16 atomic mass
units (amu) and two hydrogen atoms that each
weigh approximately 1 amu. Which of the displays
below best shows the weight of an oxygen atom in
proportion to the weight of the whole water
molecule?
collects, organizes, and displays data in a
variety of forms, including tables, line graphs,
charts, bar graphs, to determine how different
ways of presenting data can lead to different
interpretations. (Also assesses
E.1.3.3) Grades 67 MC, GR Grade 8 MC, GR, ER
8th Grade
76
MA.E.1.3.1
54) The plot below shows the heart rate for
Micahs students halfway through a kickboxing
exercise class.
collects, organizes, and displays data in a
variety of forms, including tables, line graphs,
charts, bar graphs, to determine how different
ways of presenting data can lead to different
interpretations. (Also assesses
E.1.3.3) Grades 67 MC, GR Grade 8 MC, GR, ER
8th Grade
77
MA.E.1.3.1
Micah said the optimum heart rate should be
between 110 and 140 beats per minute. How many of
the students heart rates shown on the plot are
between 110 and 140 beats per minute?
collects, organizes, and displays data in a
variety of forms, including tables, line graphs,
charts, bar graphs, to determine how different
ways of presenting data can lead to different
interpretations. (Also assesses
E.1.3.3) Grades 67 MC, GR Grade 8 MC, GR, ER
1 4
8th Grade
78
MA.E.1.3.1
55) Some students were asked in which room of
the home they prefer to do homework. The table
below shows the number of students who prefer to
study in one of four different rooms.
collects, organizes, and displays data in a
variety of forms, including tables, line graphs,
charts, bar graphs, to determine how different
ways of presenting data can lead to different
interpretations. (Also assesses
E.1.3.3) Grades 67 MC, GR Grade 8 MC, GR, ER
Part A On the grid, construct a bar graph to
show the number of students who study in each
room. Part B Complete the circle graph using
the percent of students who prefer to study in
each room. Part C
Determine which graph most clearly shows that
more than half of the students prefer to study in
the bedroom or the kitchen.
8th Grade
79
Top-Score Response
MA.E.1.3.1
A correct bar graph similar to the following
collects, organizes, and displays data in a
variety of forms, including tables, line graphs,
charts, bar graphs, to determine how different
ways of presenting data can lead to different
interpretations. (Also assesses
E.1.3.3) Grades 67 MC, GR Grade 8 MC, GR, ER
OR other valid bar graph AND
8th Grade
80
MA.E.1.3.1
A correct circle graph similar to the
following
collects, organizes, and displays data in a
variety of forms, including tables, line graphs,
charts, bar graphs, to determine how different
ways of presenting data can lead to different
interpretations. (Also assesses
E.1.3.3) Grades 67 MC, GR Grade 8 MC, GR, ER
OR other valid circle graph AND An
explanation similar to the following The circle
graph is better because it clearly shows that
more than half of the students prefer to study in
the bedroom or the kitchen. OR The bar graph is
better because it shows that more than 500
students prefer to study in the bedroom or the
kitchen. OR other valid explanation.
8th Grade
81
56) The land areas of the seven continents are
listed in the table below.
MA.E.1.3.2
understands and applies the concepts of range and
central tendency (mean, median, and mode).
(Also assesses E.1.3.3) MC, GR

• What is the approximate mean land area of the
  seven continents?
• 17.3 million square miles
• 14.0 million square miles
• 8.3 million square miles
• 6.9 million square miles

8th Grade
82
MA.E.1.3.2
57) Julio is doing a report about the quality of
life in various countries. He found the following
information about life expectancy.
understands and applies the concepts of range and
central tendency (mean, median, and mode).
(Also assesses E.1.3.3) MC, GR
What is the median life expectancy of people
living in the countries listed above?
8th Grade
83
MA.E.1.3.2
understands and applies the concepts of range and
central tendency (mean, median, and mode).
(Also assesses E.1.3.3) MC, GR
6 6
8th Grade
84
58) Pat is taking a vacation to a health spa.
She has decided to participate in 1 sporting
activity and 2 cooking activities while at the
spa. Her choices in each category are shown below.
MA.E.2.3.1
compares experimental results with mathematical
expectations of probabilities. MC
How many combinations of 1 sporting activity and
2 cooking activities could Pat choose from while
at the spa?

1. 32
2. 24
3. 18
4. 12

8th Grade
85
59) A national ice cream company conducted a
survey with a random sample of 100 people to find
out which flavors of ice cream people like best.
The results are shown below.
MA.E.2.3.1
compares experimental results with mathematical
expectations of probabilities. MC
8th Grade
86
MA.E.2.3.1
Beth and Stuart conducted the same survey during
lunch with a sample of 25 students and got the
results shown below.
compares experimental results with mathematical
expectations of probabilities. MC
If the results of Beth and Stuarts survey had
been like the national results, how many more
students would have picked vanilla as their
favorite ice cream?

1. 7 students
2. 11 students
3. 28 students
4. 43 students

8th Grade
87
MA.E.2.3.2
60) While playing for a local baseball team,
Jamal hit the ball 20 out of 30 times at bat.
Based on this record, what would be the odds in
favor of Jamal hitting the ball the next time he
comes up to bat?
determines odds for and odds against a given
situation. (Also assesses E.2.2.2) MC

• 3 to 2
• 2 to 3
• 2 to 1
• 1 to 2

8th Grade
88
MA.E.2.3.2
61) In a group of 30 people, 27 are right-handed
and the others are left-handed. If one person is
selected at random from this group, what is the
probability that the person selected will be
left-handed?
determines odds for and odds against a given
situation. (Also assesses E.2.2.2) MC
8th Grade
89
MA.E.3.3.1

• 62) As a tree ages, the trunk of the tree gets
  bigger.
• Scientists can estimate the age of a tree by
  measuring
• the distance around, or the circumference of, the
  tree
• trunk. A team of scientists believe that the
  trees in Florida
• are older than the trees in Georgia, Alabama, and
• Mississippi. In which of the following geographic
  areas
• should the scientists measure the circumference
  of 200
• trees to best test their hypothesis?
• one area of each state
• one area of Florida
• various areas of each state
• various areas of Florida

formulates hypotheses, designs experiments,
collects and interprets data, and evaluates
hypotheses by making inferences and drawing
conclusions based on statistics (range, mean,
median, and mode) and tables, graphs, and charts.
(Also assesses E.3.3.2) MC
8th Grade