FCAT Mathematics Sample Items for Grade 6

1
FCAT Mathematics Sample Items for Grade 6

• 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 - 21
Strand C Slides 22 - 25
Strand D Slides 26 - 32
Strand E Slides 33 - 39
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MA.A.1.3.2
1) Which of the following numbers represents a
value greater than 1?
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
6th Grade
4
MA.A.1.3.4
2) When Coach Travis held tryouts for the track
team, 48 students tried out. Only 3/4 of the
students made the team. What percentage of the
students did NOT make the team?
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
6th Grade
5
MA.A.1.3.4
3) Pete kept a weather chart for a science
project. He recorded that it rained on 6 out of
the 30 days in April. What percent is equivalent
to 6/30?
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
2 0
6th Grade
6
MA.A.2.3.1
understands and uses exponential and scientific
notation. MC, GR
4) Which of the following represents 7 squared?
6th Grade
7
MA.A.2.3.1
5) The following expression represents the total
number of candles Dennis packed in two different
boxes for shipping. How many candles did
Dennis pack for shipping?
understands and uses exponential and scientific
notation. MC, GR
1 8 9
6th Grade
8
MA.A.3.3.1
6) A rectangular garden is split between two
sistersPam and Peg. The long side of the garden
is split with 6 yards for Pam and 4 yards for
Peg. The garden is 3 yards wide. If (6
4) X 3 is one expression for the area of the
whole garden, which of the following expressions
for finding the area of the whole garden is also
correct?
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
6th Grade
9
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
7) What is the value of the expression 2 5 X
32 ?
6th 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)
1 8
6th Grade
11
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
9) Christie purchased a sweater at 25 off the
original price. The original price was 36.00.
What was the sale price of the sweater?
6th Grade
12
MA.A.3.3.3
10) Marlo had 434.00 in her savings account.
The bank paid her 5 simple interest at the end
of one year. How much interest, rounded to the
nearest dollar, was Marlo paid?
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 2
6th Grade
13
MA.A.4.3.1
11) Tremika and Mike are driving from Sarasota
to West Palm Beach. The route they are taking is
shown below. Tremika and Mike will drive,
without stopping, at an average rate of 50 miles
per hour. Which is closest to the number of hours
it will take them to drive from Sarasota to West
Palm Beach?
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
6th Grade
14
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
12) Elena grows flowers that she sells at the
farmers market on Saturday. Her rectangular
flower garden is 4 feet wide by 20 feet long. If
Elena buys exactly enough fencing to enclose her
rectangular garden, how many feet of fencing
should she buy?
6th Grade
15
13) A company introducing a new cereal wants to
use one of the two boxes shown. What is the
volume, in cubic inches, of the box that will
hold the greatest amount of cereal when full?
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
1 0 0
6th Grade
16
MA.B.1.3.3
14) In the diagram below, Figure 1 is a square
and Figure 2 is a rectangle. Based on the
diagram, how does the area of Figure 1 compare to
the area of Figure 2?
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
6th Grade
17
MA.B.1.3.3
15) Jesse used 1-foot square tiles to cover the
floor of his 6-foot-by-6-foot bathroom and wants
to use the same tiles in the kitchen. The floor
of his kitchen is double the length and double
the width of the bathroom floor. How many times
the number of floor tiles used to cover the
bathroom floor should it take to cover the
kitchen floor?
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
6th Grade
18
16) 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?
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
6th Grade
19
MA.B.1.3.4
17) The diagram below shows a scale drawing of
the Chrysler Building in New York City. Based on
the scale shown, what is the height, in feet, of
the Chrysler Building?
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
1 0 5 0
6th Grade
20
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
18) Tina was making punch for a party. She mixed
7 cups of apple juice, 4 cups of pineapple juice,
8 cups of ginger ale, and 1 cup of lemon juice.
How many gallons of punch did she make?
6th Grade
21
MA.B.2.3.2
19) Carpenters often use a folding ruler to
measure distances. A carpenter uses his ruler to
measure one wall in the gymnasium to determine
how much paint will be needed for a wall mural.
His ruler extends to 96 inches. How many feet
long is the ruler?
solves problems involving units of measure and
converts answers to a larger or smaller unit
within either the metric or customary
system. MC, GR
8
6th Grade
22
MA.C.1.3.1
20) The map below shows a portion of downtown
Washington, D.C. with named streets. Which of
the following streets appear to be parallel to
each other?
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
6th Grade
23
21) The museum planned to create a triangular
space for an outdoor art exhibit, as shown in
Figure 1. This location was too close to a
walkway, so the exhibit was moved, as shown in
Figure 2. What term best describes the
transformation of Figure 1 to Figure 2 ?
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
6th Grade
24
MA.C.3.3.1
22) Triangle ABC is an isosceles triangle.
What is the measure of angle CAB ?
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
6th Grade
25
23) Which point on the coordinate plane below
best represents the location of the ordered pair
(4, 3) ?
MA.C.3.3.2
identifies and plots ordered pairs in all four
quadrants of a rectangular coordinate system
(graph) and applies simple properties of
lines. MC
6th Grade
26
MA.D.1.3.1
24) A graphic artist has drawn the pattern shown
below. The pattern repeats after every two rows.
If the artist continues with the
pattern, what will Row 15 look like?
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
6th Grade
27
25) All of the ordered pairs in the following
function table correspond to points on the same
line. What is the value of y when x 5?
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
1 6
6th Grade
28
MA.D.1.3.2
26) Which linear equation describes the relation
shown in the table below?
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
6th Grade
29
27) Laura and Debbie each evaluated a
different expression using the value x
7. Lauras expression x2 - 20 Debbies
expression 1.4x 13 If Laura and Debbie each
evaluated her expression correctly, what is the
difference between Lauras resulting value and
Debbies resulting value?
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
6 . 2
6th Grade
30
MA.D.2.3.1
28) The tallest lighthouse in Florida, the St.
Augustine Lighthouse, stands 165 feet tall. The
shortest lighthouse, Port Boca Grande on
Gasparilla Island, stands 60 feet tall. Let h
represent the height, in feet, of any other
lighthouse in Florida. Which inequality best
describes the value of h ?
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
6th Grade
31
MA.D.2.3.2
29) At Fillmore Hall, the cost in dollars to
rent a music room with a set of 20 music stands
can be calculated using the expression below.
60h 10 where h represents the number of
hours the room will be rented What is the
total cost, in dollars, to rent a music room for
3 hours?
uses algebraic problem-solving strategies to
solve real-world problems involving linear
equations and inequalities. MC, GR
6th Grade
32
MA.D.2.3.2
30) Juanitas outdoor club is holding a bake
sale to earn money for equipment. A cake cut into
6 slices is for sale for 3.00. Mrs. McKay wants
a slice. Juanita can use the equation 6p 3 to
find p, the price of one slice of cake. What is
the value of p ?
uses algebraic problem-solving strategies to
solve real-world problems involving linear
equations and inequalities. MC, GR
1 / 2
Other Correct Responses .5, 0.5, .50, 0.50
6th Grade
33
31) Amanda and her friends collected aluminum
cans for six weeks. The graph below shows how
many pounds of cans they collected each of the
six weeks. Amanda and her friends collected
between 475 pounds and 625 pounds of cans per
week. The vertical axis does not give the scale
for number of pounds. Which of the following
would be the best scale for this axis?
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
6th Grade
34
32) The Venn diagram below shows information
about types of movies students in a class
reported having seen over a one-month period.
What is the total number of students represented
in the diagram who saw only one type of movie?
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
9
6th Grade
35
MA.E.1.3.2
33) The chart below lists the location and area
of different deserts. What is the
median area listed in the chart?
understands and applies the concepts of range and
central tendency (mean, median, and mode).
(Also assesses E.1.3.3) MC, GR
6th Grade
36
34) Rosario is planning a trip to Palm Sands. He
found the chart below showing prices of some
hotel rooms in Palm Sands. What is the mode
price per night for a room at the hotels listed?
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
1 4 8
6th Grade
37
35) After using Lynn-G fertilizer for two years,
Artie decided to experiment with Kwik-Gro
fertilizer, which claims to make plants grow
twice as tall as plants grown with Lynn-G in six
weeks. Arties graph displays the results of
Kwik-Gro and his usual fertilizer, Lynn-G, for
six weeks. After six weeks, how do
Arties results compare with Kwik-Gros claim?
MA.E.2.3.1
compares experimental results with mathematical
expectations of probabilities. MC
6th Grade
38
MA.E.2.3.2
36) Each of the 24 students in Mr. Lees
literature class is equally likely to be assigned
one of the following four categories for their
next reading assignment Historical Fiction,
Mystery, Science Fiction, and Nonfiction. If the
students are randomly selected, how many students
are expected to be assigned a mystery novel?
determines odds for and odds against a given
situation. (Also assesses E.2.2.2) MC
6th Grade
39
MA.E.3.3.1
37) Joel saw a magazine ad for Tingle mouthwash
that included the graph shown below. He thought
the ad was misleading. Which of the
following makes the graph misleading?
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
6th Grade