FCAT Mathematics Sample Items for Grade 7

1
FCAT Mathematics Sample Items for Grade 7

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

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Table of Content
Strand A Slides 3 - 13
Strand B Slides 14 - 24
Strand C Slides 25 - 30
Strand D Slides 31 - 37
Strand E Slides 38 - 46
3
MA.A.1.3.2
1) Students measured the thickness of four
different magnification lenses in their science
laboratory. The measures they recorded are shown
in the table below.
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
Which of the following lists the lenses in order
from least to greatest thickness? A. clear,
red, blue, yellow B. blue, yellow, clear, red C.
clear, red, yellow, blue D. blue, yellow, red,
clear
7th Grade
4
MA.A.1.3.4
2) A worker cut out 750 cloth pieces to use in
making denim clothing. Of the pieces the worker
cut, 60 were used for making blue jeans. Which
of the following is equivalent to 60?
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
7th Grade
5
MA.A.1.3.4
3) Kim is skilled in making free throws in
basketball. Kim noted that last season she scored
on 0.83 of her total number of free throw
attempts. What percent is equivalent to 0.83 ?
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
8 3
7th Grade
6
MA.A.2.3.1
4) Light waves travel at approximately 186,000
miles per second. Which of the following shows
this speed in standard scientific notation?
understands and uses exponential and scientific
notation. MC, GR
7th Grade
7
MA.A.2.3.1
5) What is the value of the following expression?
understands and uses exponential and scientific
notation. MC, GR
7
7th Grade
8
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
6) Which of the following numbers, when
multiplied by 3/4 , results in a number greater
than 3/4?
7th Grade
9
MA.A.3.3.2
7) Given the expression
what is the correct order of operations?
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
7th Grade
10
MA.A.3.3.2
8) What is the value of the expression
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
4 9 8
7th Grade
11
MA.A.3.3.3
9) Due to an increase in the cost of building
materials, the cost of remodeling a building is
now 28 more than its original cost. If the
original cost was 5,438, what is the cost, to
the nearest dollar, after the increase?
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
7th 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) Suppose a manatee consumes an amount of food
equal to 15 of its body mass each day. How many
kilograms of food would one 450-kilogram manatee
eat in 1 day?
6 7 . 5
7th Grade
13
MA.A.4.3.1
11) A farmer is baling hay. He wants to estimate
how many bales he will get from the whole field.
He got 27 bales from the corner of the field, as
shown below. Which is closest to the
number of bales of hay the farmer would get from
his entire field, assuming the amount of hay to
be baled is the same across the field?
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
7th Grade
14
MA.B.1.3.1
12) The inside diameter of the circular
basketball hoop shown below is 18
inches. Which is closest to the measure
of the circumference of this basketball hoop?
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
7th Grade
15
MA.B.1.3.1
13) The shape of Rogers patio can be divided
into a rectangle and a trapezoid with the
dimensions labeled in the diagram below. Based
on the dimensions labeled in the diagram, what is
the total area, in square feet, of Rogers patio?
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
2 2 5
7th Grade
16
MA.B.1.3.2
14) Susanna monitored the water temperature in
the high school pool as it was heated one
morning. She recorded the temperatures in the
chart below. According to the data, which
of the following is closest to the rate of
increase in water temperature per minute?
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
7th Grade
17
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
15) Under water, a sound wave travels 73,920
feet in 14 seconds. What is the underwater speed
of a sound wave in feet per second?
5 2 8 0
7th Grade
18
MA.B.1.3.3
16) Toni has a rectangular vegetable garden that
measures 12 feet by 18 feet. She wants to reduce
the area of her garden. If Toni reduces the
dimensions of her garden to be 12 feet by 9 feet,
how will the area of the new garden compare to
the area of the old garden?
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
7th Grade
19
MA.B.1.3.3
17) The Gordons decided to enlarge their
circular fishpond. The original pond had a
diameter of 7 feet. The enlarged pond has a
radius of 14 feet.
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
7th Grade
20
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
How many times the circumference of the original
pond is the circumference of the enlarged pond?
4
7th Grade
21
MA.B.1.3.4
18) On a trip to France, Henry bought a model of
the Eiffel Tower. His model is 9 inches tall. If
the scale of the model is 1/2 inch 55 feet,
what is the approximate height of the Eiffel
Tower?
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
7th Grade
22
MA.B.1.3.4
19) In the scale drawing below, the school
library has a length of 2 1/2inches. What is the
actual length, in feet, of the library?
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
4 0 0
7th Grade
23
MA.B.2.3.2
20) On a football field, the distance from one
goal line to the other is 100 yards. Students
must start at one goal line, run to the other
goal line, and then run back. They must do this
20 times each day. About how many miles will each
student run per day?
solves problems involving units of measure and
converts answers to a larger or smaller unit
within either the metric or customary
system. MC, GR
7th Grade
24
MA.B.2.3.2
solves problems involving units of measure and
converts answers to a larger or smaller unit
within either the metric or customary
system. MC, GR
21) Kanesha ran in a 5-kilometer race. She only
completed 3/4 of the course. How many meters did
she run?
3 7 5 0
7th Grade
25
MA.C.1.3.1
22) Figure ABCD below is a parallelogram.
Which of the following does NOT have to be true?
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
7th Grade
26
23) Veronicas new bed sheets are printed with a
repeating shape that has exactly 3 lines of
symmetry. Which of the following could be the
shape on Veronicas sheets?
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
7th Grade
27
MA.C.3.3.1
24) Lou is studying the design of a honeycomb.
The honeycomb design is made up of regular
hexagons, as shown below. What is the
measure, in degrees, of a above?
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
7th Grade
28
MA.C.3.3.1
25) A surveyor needs to find the distance from
point A to point B across a small inlet on a
lake, as shown 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
The surveyor sets a stake at point C so that CBA
is a right angle. She measures the distance from
point B to point C to be 40 meters, and from
point A to point C to be 50 meters. What is the
distance, in meters, across the inlet from point
A to point B?
7th Grade
29
MA.C.3.3.1
The surveyor sets a stake at point C so that ?CBA
is a right angle. She measures the distance from
point B to point C to be 40 meters, and from
point A to point C to be 50 meters. What is the
distance, in meters, across the inlet from point
A to point B?
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
3 0
7th Grade
30
MA.C.3.3.2
26) On the coordinate plane below, which point
is best represented by the coordinates (-3, -4) ?
identifies and plots ordered pairs in all four
quadrants of a rectangular coordinate system
(graph) and applies simple properties of
lines. MC
7th Grade
31
MA.D.1.3.1
27) In Trinas equation, the value of y is twice
the value of x. Which function table shows values
of x and y that consistently correspond to
Trinas equation?
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
7th Grade
32
MA.D.1.3.1
28) Demetri can use a linear function to
describe the number of yards of fur fabric he
needs for different numbers of teddy bears he
plans to make. Some values of the linear function
are listed in the table below. According to the
function table, what is the value of y when x 3
?
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
3
7th Grade
33
29) Look at the graph of a linear function and
the table that shows some of the values of that
function. What is the relationship between x and
y ?
MA.D.1.3.2
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
7th Grade
34
30) Delia is an apartment locator. She helps
people who move into her city find an apartment
in which to live. The equation below can be used
to calculate the amount Delia earns when one of
her customers signs a lease for an apartment.
a 1/4m 125 where a the amount of
Delias earnings, in dollars and m the monthly
rent payment for the customers apartment One of
Delias customers has decided to lease an
apartment with a monthly rent payment of 728.
What amount should Delia earn when this customer
signs the lease for the apartment?
MA.D.1.3.2
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
3 0 7
7th Grade
35
MA.D.2.3.1
31) A taxi service charges 5.00 for the first
mile of a trip and 1.50 for each additional mile
traveled. Which algebraic expression below could
be used to find the cost of a trip of n miles,
greater than 1 mile?
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
7th Grade
36
32) In the diagram below, h represents the
height and l represents the length of one step in
a staircase. To build safer staircases,
architects often use the equation shown below to
help calculate the ideal height and length of
each step. h l 18 Using the equation
provided, what should be the height of a step
that has a length of 10 3/8 inches?
MA.D.2.3.2
uses algebraic problem-solving strategies to
solve real-world problems involving linear
equations and inequalities. MC, GR
7th Grade
37
33) Ms. Clark, a salesperson, receives a weekly
base salary of 250 plus a commission of 8 of
her total weekly sales. At the end of one week,
she earned a total of 410. This can be
represented by the equation below, where s
represents her total sales, in dollars, for the
week. 250 0.08s 410 What was the amount
of Ms. Clarks total sales for the week?
MA.D.2.3.2
uses algebraic problem-solving strategies to
solve real-world problems involving linear
equations and inequalities. MC, GR
2 0 0 0
7th Grade
38
34) The graph below shows the percentage of men
and women age 65 and older who were in the labor
force at different times. Which conclusion is
best supported by the graph?
MA.E.1.3.1
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
7th Grade
39
35) Ms. Jameson asked students in each of her
classes to name one favorite citrus fruit. The
results are shown in the graph below.
MA.E.1.3.1
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
7th Grade
40
MA.E.1.3.1
36) According to the graph, how many girls chose
orange or lemon as a favorite citrus fruit?
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
2 4
7th Grade
41
MA.E.1.3.2
37) The table below shows the time, in minutes,
that several students spent playing outdoor
sports one weekend.
understands and applies the concepts of range and
central tendency (mean, median, and mode).
(Also assesses E.1.3.3) MC, GR
7th Grade
42
MA.E.1.3.2
Which box-and-whisker plot best represents the
data in the table?
understands and applies the concepts of range and
central tendency (mean, median, and mode).
(Also assesses E.1.3.3) MC, GR
7th Grade
43
38) The table shows the lengths of the worlds
five longest rivers. To the nearest mile, what is
the mean length of these rivers?
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
3 8 0 7
7th Grade
44
MA.E.2.3.1
39) Dr. Amaro has 7 different bacteria specimens
on his laboratory counter. He needs to use 2 of
the specimens for an experiment. How many
different combinations of 2 specimens from the
set of 7 specimens does Dr. Amaro have from which
to choose?
compares experimental results with mathematical
expectations of probabilities. MC
7th Grade
45
MA.E.2.3.2
40) During a video game, Terry must choose one
of 27 doors to continue along a maze. Only 3 of
the doors will allow Terry to complete the maze.
If Terry chooses one door at random, what are the
odds in favor of his choosing a door that will
allow him to complete the maze?
determines odds for and odds against a given
situation. (Also assesses E.2.2.2) MC
7th Grade
46
41) The manager of a neighborhood park decided
to ask people who use the park what new equipment
would be most popular. On Monday, Wednesday, and
Friday from 100 p.m. to 200 p.m., she asked
visitors in the park what equipment should be
added. She got 132 suggestions and concluded she
should buy more swings and sandboxes. What
error did the manager make in her survey?
MA.E.3.3.1
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
7th Grade