FCAT Mathematics Sample Items for Grade 5

1
FCAT Mathematics Sample Items for Grade 5

• All questions are from the FCAT Mathematics Item
  Specification for Grades 3 - 5

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Table of Content
Strand A Slides 3 - 16
Strand B Slides 17 - 22
Strand C Slides 23 - 31
Strand D Slides 32 - 39
Strand E Slides 40 - 53
3
MA.A.1.2.2
1) Amy observed some animals and made a chart to
compare their speeds.
understands the relative size of whole numbers,
commonly used fractions, decimals, and
percents. Grades 34 MC Grade 5 MC, GR
According to the chart, which animal was the
fastest?
5th Grade
4
MA.A.1.2.2
2) Six students ran in the 100-meter race at the
City Olympics. Their times are shown in the table
below. What time listed in the table has the
least value?
understands the relative size of whole numbers,
commonly used fractions, decimals, and
percents. Grades 34 MC Grade 5 MC, GR
2 0 6 7
5th Grade
5
MA.A.1.2.4
3) Land covers 1/4 of Earths surface. The
remaining 3/4 is covered by water.
understands that numbers can be represented in a
variety of equivalent forms using whole numbers,
decimals, fractions, and percents. (Also
assesses A.1.2.1 and A.1.2.3) Grades 34
MC Grade 5 MC, GR
Which value below represents the amount of
Earths surface covered by water?
5th Grade
6
MA.A.2.2.1
4) One bicycle rack at school has enough slots
to hold 10 bicycles. Today 7/10 of the bicycle
rack is being used. What percent of the bicycle
rack is being used today?
uses place-value concepts of grouping based upon
powers of ten (thousandths, hundredths, tenths,
ones, tens, hundreds, thousands) within the
decimal number system. Grades 34 MC Grade 5
MC, GR
7 0
5th Grade
7
MA.A.3.2.1
5) A bolt of lightning can travel at a speed of
334,800,000 miles per hour. What is the value of
the 4 in the number 334,800,000 ?
understands and explains the effects of addition,
subtraction, and multiplication on whole numbers,
decimals, and fractions, including mixed numbers,
and the effects of division on whole numbers,
including the inverse relationship of
multiplication and division. MC
5th Grade
8
MA.A.3.2.1
5) A bolt of lightning can travel at a speed of
334,800,000 miles per hour. What is the value of
the 4 in the number 334,800,000 ?
understands and explains the effects of addition,
subtraction, and multiplication on whole numbers,
decimals, and fractions, including mixed numbers,
and the effects of division on whole numbers,
including the inverse relationship of
multiplication and division. MC
5th Grade
9
MA.A.3.2.2
7) The 20 students in Mrs. Meyers class
collected books for a book exchange. Each student
collected 3 books, and Mrs. Meyer collected 10
books. Which expression could be used to find the
total number of books collected?
selects the appropriate operation to solve
specific problems involving addition,
subtraction, and multiplication of whole numbers,
decimals, and fractions, and division of whole
numbers. MC
5th Grade
10
MA.A.3.2.3
8) Dentists tell us we should brush our teeth 2
times a day for 3 minutes each time. How many
minutes will you brush your teeth if you do this
for 5 days?
adds, subtracts, and multiplies whole numbers,
decimals, and fractions, including mixed numbers,
and divides whole numbers to solve real-world
problems, using appropriate methods of computing,
such as mental mathematics, paper and pencil, and
calculator. Grades 34 MC Grade 5 MC, GR
5th Grade
11
MA.A.3.2.3
9) Roberts father filled the tank of the car
with 18 gallons of gasoline. The gasoline cost
1.90 per gallon, including tax. How much did it
cost to fill the tank?
adds, subtracts, and multiplies whole numbers,
decimals, and fractions, including mixed numbers,
and divides whole numbers to solve real-world
problems, using appropriate methods of computing,
such as mental mathematics, paper and pencil, and
calculator. Grades 34 MC Grade 5 MC, GR
3 4 2 0
5th Grade
12
10) The Martin family moved into a new house and
wanted to plant grass seed in their backyard.
They measured 2 sides of the backyard and drew
the figure below.
MA.A.4.2.1
uses and justifies different estimation
strategies in a real-world problem situation and
determines the reasonableness of results of
calculations in a given problem situation.
(Also assesses B.3.2.1) Grades 34 MC Grade 5
SR
5th Grade
13
Estimate the 4 measurements, A, B, C and D that
are missing on the figure and then use those
measurements to find the total area, in square
feet, of the Martins backyard. Explain
mathematically how you determined your answer.
MA.A.4.2.1
uses and justifies different estimation
strategies in a real-world problem situation and
determines the reasonableness of results of
calculations in a given problem situation.
(Also assesses B.3.2.1) Grades 34 MC Grade 5
SR
5th Grade
14
MA.A.4.2.1
A top-score response would correctly estimate the
length of the missing sides and the correct area
of the Martins backyard.
uses and justifies different estimation
strategies in a real-world problem situation and
determines the reasonableness of results of
calculations in a given problem situation.
(Also assesses B.3.2.1) Grades 34 MC Grade 5
SR
5th Grade
15
Continued
MA.A.4.2.1
uses and justifies different estimation
strategies in a real-world problem situation and
determines the reasonableness of results of
calculations in a given problem situation.
(Also assesses B.3.2.1) Grades 34 MC Grade 5
SR
5th Grade
16
11) Jack wants to give an equal number of marbles
to each of his 4 friends. At the toy store he
sees several bags of marbles, as shown below.
Which bag of marbles should Jack buy so that he
can give each of his 4 friends an equal number of
marbles with none left over?
MA.A.5.2.1
understands and applies basic number theory
concepts, including primes, composites, factors,
and multiples. MC
5th Grade
17
MA.B.1.2.2
12) Jenna watched someone diving. The divers
body made these angles during the different parts
of the dive. Which number labels the picture of
the divers body forming an acute angle?
solves real-world problems involving length,
weight, perimeter, area, capacity, volume, time,
temperature, and angles. Grades 34 MC Grade 5
MC, GR
5th Grade
18
MA.B.1.2.2
13) For outdoor concerts, Mr. Shannons class
built a square stage floor. The top view of the
stage floor is shown below. The area of the stage
floor is 400 square feet. What is the length, in
feet, of the stage floor?
solves real-world problems involving length,
weight, perimeter, area, capacity, volume, time,
temperature, and angles. Grades 34 MC Grade 5
MC, GR
2 0
5th Grade
19
14) Deon placed a 4-pound weight on one side of
a balance scale. Then he placed 32 pieces of
candy on the other side of the scale to make it
balance. Each piece of candy is the same weight.
MA.B.2.2.1
uses direct (measured) and indirect (not
measured) measures to calculate and compare
measurable characteristics. Grades 34 MC Grade
5 MC, GR
How much does one piece of candy weigh?
5th Grade
20
15) A solar or tropical year is 365 days, 5
hours, 48 minutes and 46 seconds. How many
seconds are there in 48 minutes?
MA.B.2.2.1
uses direct (measured) and indirect (not
measured) measures to calculate and compare
measurable characteristics. Grades 34 MC Grade
5 MC, GR
2 8 8 0
5th Grade
21
16) The height of the Eiffel Tower in Paris,
France, is 328 yards. Due to erosion, the Great
Pyramid of Giza, Egypt, is now only 450 feet
high. How many yards higher is the Eiffel Tower
than the Great Pyramid of Giza?
MA.B.2.2.1
uses direct (measured) and indirect (not
measured) measures to calculate and compare
measurable characteristics. Grades 34 MC Grade
5 MC, GR
1 7 8
5th Grade
22
MA.B.2.2.2
17) Which of these measurements best describes
the actual distance between Orlando, Florida and
Miami, Florida?
selects and uses appropriate standard and
nonstandard units of measurement, according to
type and size. (Also assesses B.4.2.1) MC
5th Grade
23
MA.C.1.2.1
18) In art class, Sasha drew the rectangular
prism pictured below.
given a verbal description, draws and/or models
two- and three-dimensional shapes and uses
appropriate geometric vocabulary to write a
description of a figure or a picture composed of
geometric figures. MC
Which of the following does line segment EF
represent in the rectangular prism?
5th Grade
24
MA.C.2.2.1
19) Which pair of triangles below appears to be
a pair of similar triangles?
understands the concepts of spatial relationships,
symmetry, reflections, congruency, and
similarity. (Also assesses B.1.2.1,
B.1.2.2, C.1.2.1, and C.3.2.1) Grades 34
MC Grade 5 MC, ER
5th Grade
25
20) Mr. Gomez is a shopping mall manager. The
shopping mall where he works is divided into
sections. The mall floor plan below shows the
location of 2 stores, the restrooms, and the
fountain in the shopping mall.
MA.C.2.2.1
understands the concepts of spatial relationships,
symmetry, reflections, congruency, and
similarity. (Also assesses B.1.2.1,
B.1.2.2, C.1.2.1, and C.3.2.1) Grades 34
MC Grade 5 MC, ER
5th Grade
26
MA.C.2.2.1
understands the concepts of spatial relationships,
symmetry, reflections, congruency, and
similarity. (Also assesses B.1.2.1,
B.1.2.2, C.1.2.1, and C.3.2.1) Grades 34
MC Grade 5 MC, ER
5th Grade
27
MA.C.2.2.1
understands the concepts of spatial relationships,
symmetry, reflections, congruency, and
similarity. (Also assesses B.1.2.1,
B.1.2.2, C.1.2.1, and C.3.2.1) Grades 34
MC Grade 5 MC, ER
5th Grade
28
MA.C.2.2.1
understands the concepts of spatial relationships,
symmetry, reflections, congruency, and
similarity. (Also assesses B.1.2.1,
B.1.2.2, C.1.2.1, and C.3.2.1) Grades 34
MC Grade 5 MC, ER
5th Grade
29
MA.C.2.2.2
21) Jim reflected the figure below over the
dashed line and then rotated it 90 clockwise
around its center.
predicts, illustrates, and verifies which figures
could result from a flip (reflection), slide
(translation), or turn (rotation) of a given
figure. MC
Which of the following shows the figure after the
reflection and 90 clockwise rotation?
5th Grade
30
22) Raylene plotted points A and B on the
coordinate grid below. If she plots 2 more
points, she can connect the points to create a
square. What will be the area of her completed
square?
MA.C.3.2.1
represents and applies a variety of strategies
and geometric properties and formulas for two-
and three-dimensional shapes to solve real-world
and mathematical problems. (Also assesses
C.2.2.1 and C.3.2.2) Grades 34 MC Grade 5 MC,
SR
5th Grade
31
23) Marcia drew the map below. She included the
library, the park, and her school.
MA.C.3.2.2
identifies and plots positive ordered pairs
(whole numbers) in a rectangular coordinate
system (graph). MC
If her house is located halfway between the
library and the park, which ordered pair would
best describe the location of her house?
5th Grade
32
24) Olga is ordering pencils for her classmates.
Each box of pencils costs 2 dollars. There is an
additional shipping cost of 3 dollars per order.
MA.D.1.2.1
describes a wide variety of patterns and
relationships through models, such as
manipulatives, tables, graphs, rules using
algebraic symbols. (Also assesses
D.1.2.2) Grades 34 MC Grade 5 MC, GR
What is the total price, in dollars, for an order
of 15 boxes of pencils?
5th Grade
33
MA.D.1.2.1
25) Hallie is making a design with square tiles.
The first design has 6 white tiles in the center
and 4 gray legs. As shown in the pictures below,
the legs of each new design have more gray tiles
than the legs of the design before.
describes a wide variety of patterns and
relationships through models, such as
manipulatives, tables, graphs, rules using
algebraic symbols. (Also assesses
D.1.2.2) Grades 34 MC Grade 5 MC, GR
5th Grade
34
According to the pattern, how many tiles will
Hallie use all together to make a design that has
5 tiles in each leg?
MA.D.1.2.1
describes a wide variety of patterns and
relationships through models, such as
manipulatives, tables, graphs, rules using
algebraic symbols. (Also assesses
D.1.2.2) Grades 34 MC Grade 5 MC, GR
2 6
5th Grade
35
26)
MA.D.1.2.2
generalizes a pattern, relation, or function to
explain how a change in one quantity results in a
change in another. (Also assesses
D.1.2.1) Grades 34 (Not assessed) Grade 5 SR
5th Grade
36
MA.D.1.2.2
generalizes a pattern, relation, or function to
explain how a change in one quantity results in a
change in another. (Also assesses
D.1.2.1) Grades 34 (Not assessed) Grade 5 SR
5th Grade
37
MA.D.2.2.1
27) Let n represent the number of papers Mrs.
Zapata graded. Mr. Goldberg graded 2 times the
number of papers Mrs. Zapata graded, plus 15
papers from his after-school program. Which
expression could be used to find the number of
papers Mr. Goldberg graded?
represents a given simple problem situation using
diagrams, models, and symbolic expressions
translated from verbal phrases, or verbal phrases
translated from symbolic expressions, etc.
(Also assesses D.2.2.2) MC
5th Grade
38
28) Look at the two inequalities below.
MA.D.2.2.2
uses informal methods, such as physical models
and graphs, to solve real-world problems
involving equations and inequalities. (Also
assesses D.2.2.1) Grades 34 MC Grade 5 MC, GR
Which of the number lines below shows a graph of
all the whole numbers that h could represent to
make both inequalities true statements?
5th Grade
39
29) Dwaynes fifth grade class bought 35 key lime
pies to sell at the schools fair this year. If
Dwaynes class had bought 1 more pie, the number
of pies this year would have been twice the
number of pies sold last year. Let p represent
the number of pies sold last year. What is the
value of p in the equation below?
MA.D.2.2.2
uses informal methods, such as physical models
and graphs, to solve real-world problems
involving equations and inequalities. (Also
assesses D.2.2.1) Grades 34 MC Grade 5 MC, GR
1 8
5th Grade
40
30) The chart below shows 3 types of drinks and
the number of gallons of each type of drink
purchased in a school cafeteria last week.
MA.E.1.2.1
solves problems by generating, collecting,
organizing, displaying, and analyzing data using
histograms, bar graphs, circle graphs, line
graphs, pictographs, and charts. (Also assesses
E.1.2.3) Grades 34 MC Grade 5 MC, GR, ER
Which graph displays this information correctly?
5th Grade
41
MA.E.1.2.1
Which graph displays this information correctly?
solves problems by generating, collecting,
organizing, displaying, and analyzing data using
histograms, bar graphs, circle graphs, line
graphs, pictographs, and charts. (Also assesses
E.1.2.3) Grades 34 MC Grade 5 MC, GR, ER
5th Grade
42
31) Greta asked Mrs. Simpsons fifth grade
students to choose their favorite cafeteria
lunches. The results are shown below.
MA.E.1.2.1
solves problems by generating, collecting,
organizing, displaying, and analyzing data using
histograms, bar graphs, circle graphs, line
graphs, pictographs, and charts. (Also assesses
E.1.2.3) Grades 34 MC Grade 5 MC, GR, ER
5th Grade
43
MA.E.1.2.1
Count the number of students who prefer each type
of lunch and write the numbers in the chart
below.
solves problems by generating, collecting,
organizing, displaying, and analyzing data using
histograms, bar graphs, circle graphs, line
graphs, pictographs, and charts. (Also assesses
E.1.2.3) Grades 34 MC Grade 5 MC, GR, ER
On the grid, make a bar graph showing the number
of students who prefer each type of lunch. Be
sure to include a title labels for the
axes appropriate and consistent scales all the
data
5th Grade
44
MA.E.1.2.1
solves problems by generating, collecting,
organizing, displaying, and analyzing data using
histograms, bar graphs, circle graphs, line
graphs, pictographs, and charts. (Also assesses
E.1.2.3) Grades 34 MC Grade 5 MC, GR, ER
5th Grade
45
MA.E.1.2.1
A top-score response includes a correctly
constructed bar graph and two statements of
comparison, including
solves problems by generating, collecting,
organizing, displaying, and analyzing data using
histograms, bar graphs, circle graphs, line
graphs, pictographs, and charts. (Also assesses
E.1.2.3) Grades 34 MC Grade 5 MC, GR, ER
A valid bar graph similar to one of the two
examples shown below
5th Grade
46
MA.E.1.2.1
solves problems by generating, collecting,
organizing, displaying, and analyzing data using
histograms, bar graphs, circle graphs, line
graphs, pictographs, and charts. (Also assesses
E.1.2.3) Grades 34 MC Grade 5 MC, GR, ER
5th Grade
47
32) At a school dance, the disc jockey asked 40
students to choose the type of music they wanted
to hear. The circle graph below shows the percent
of students who chose each type of music.
MA.E.1.2.1
solves problems by generating, collecting,
organizing, displaying, and analyzing data using
histograms, bar graphs, circle graphs, line
graphs, pictographs, and charts. (Also assesses
E.1.2.3) Grades 34 MC Grade 5 MC, GR, ER
According to the graph, how many of the 40
students chose jazz?
1 2
5th Grade
48
33) Mrs. Terry posted the scores from this
weeks science quiz on the board as shown below.
MA.E.1.2.2
determines range, mean, median, and mode from
sets of data. (Also assesses E.1.2.3) Grades
34 MC Grade 5 MC, GR
What is the range of the scores shown in the
stem-and-leaf plot?
5th Grade
49
34) The chart below shows the names of seven
kinds of cloud formations. It also shows some of
their recorded distances above Earth. What is the
median distance above Earth, in miles, of the
cloud formations listed in the chart above?
MA.E.1.2.2
determines range, mean, median, and mode from
sets of data. (Also assesses E.1.2.3) Grades
34 MC Grade 5 MC, GR
4
5th Grade
50
MA.E.2.2.1
35) Krista (K), Juan (J), and Rosie (R) will
compete against each other in the 50-yard dash.
After the race, they will each be awarded one of
the ribbons shown below.
uses models, such as tree diagrams, to display
possible outcomes and to predict events. Grades
34 MC Grade 5 SR
In the space below, list all the different ways
these 3 students could place first, second, or
third in the race. You may use the first letter
of each students name in your list (for example,
K, J, R).
What is the total number of ways these 3 students
could place in the race? ___________
5th Grade
51
MA.E.2.2.1
uses models, such as tree diagrams, to display
possible outcomes and to predict events. Grades
34 MC Grade 5 SR
5th Grade
52
MA.E.2.2.2
36) At the cookie sale, Marc bought 3 sugar, 8
oatmeal, 5 peanut butter, and 4 chocolate chip
cookies that were all the same size and shape.
All the cookies were placed in one bag. Since
Marcs friend likes all of the cookies, he will
choose 1 cookie from the bag without looking.
What is the probability that Marcs friend will
choose a chocolate chip cookie?
predicts the likelihood of simple events
occurring. MC
5th Grade
53
MA.E.3.2.1
37) Dean is collecting data on his classmates
favorite and least favorite cafeteria foods. He
plans to present his results to the cafeteria
manager. Which of the following is the best
survey for Dean to use to collect his data?
designs experiments to answer class or personal
questions, collects information, and interprets
the results using statistics (range, mean,
median, and mode) and pictographs, charts, bar
graphs, circle graphs, and line graphs. (Also
assesses E.3.2.2) Grades 34 (Not
assessed) Grade 5 MC
5th Grade