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FCAT Mathematics Sample Items for Grade 9

- All questions are from the FCAT Mathematics Item

Specification for Grades 9 and 10

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

MA.A.1.4.2

1) The table below identifies several atoms and

the mass in kilograms (kg) of each.

Which of the atoms in the table has

the second smallest mass?

understands the relative size of integers,

rational numbers, irrational numbers, and real

numbers. MC

9th Grade

MA.A.1.4.4

2) The measurements, in meters (m), of the sides

of a right triangle are shown below.

Which of the following is equivalent

to the length of the hypotenuse of this right

triangle?

understands that numbers can be represented in a

variety of equivalent forms, including integers,

fractions, decimals, percents, scientific

notation, exponents, radicals, absolute value,

and logarithms. (Also assesses A.1.4.1 and

A.1.4.3) MC, GR

9th Grade

MA.A.1.4.4

3) On a mathematics test, Ken earned a score of

446 points out of a possible score of 500 points.

What percent is equivalent to Kens score?

understands that numbers can be represented in a

variety of equivalent forms, including integers,

fractions, decimals, percents, scientific

notation, exponents, radicals, absolute value,

and logarithms. (Also assesses A.1.4.1 and

A.1.4.3) MC, GR

8 9 . 2

9th Grade

MA.A.3.4.1

4) Which of the following numbers when

multiplied by 3-2 is equal to 1?

understands and explains the effects of addition,

subtraction, multiplication, and division on real

numbers, including square roots, exponents, and

appropriate inverse relationships. (Also

assesses A.2.4.2) MC

9th Grade

MA.A.3.4.2

5) The Master Frame Company hired a new frame

maker. For each frame, the company supplies the

frame maker with 12 of materials and pays 15

per hour. The company charges 80 for these

frames and can determine its profit by using the

following formula. P x80 - (12 15t)

Given P profit t hours spent making 1

frame x number of frames built Which

equation shows the amount of profit earned if the

frame maker built 5 frames?

selects and justifies alternative strategies,

such as using properties of numbers, including

inverse, identity, distributive, associative,

transitive, that allow operational shortcuts for

computational procedures in real-world or

mathematical problems. (Also assesses A.2.4.2.

and A.3.3.2) MC

9th Grade

6) Stephen paid a 25 membership fee to join a

wholesale shopping club. His first purchase was a

case of chlorine treatment for his pool. The case

contained 4 bottles and cost 33. The cost of 1

bottle for a non-member is 10.78. How many full

cases of chlorine treatment will Stephen have to

buy from the club in order to recover the 25

membership fee?

MA.A.3.4.3

adds, subtracts, multiplies, and divides real

numbers, including square roots and exponents,

using appropriate methods of computing, such as

mental mathematics, paper and pencil, and

calculator. (Also assesses A.2.4.2) MC, GR

9th Grade

MA.A.3.4.3

7) Floridas population grew from 2.8 million in

1950 to 5 million in 1960. What was the percent

of increase in Floridas population from 1950 to

1960?

adds, subtracts, multiplies, and divides real

numbers, including square roots and exponents,

using appropriate methods of computing, such as

mental mathematics, paper and pencil, and

calculator. (Also assesses A.2.4.2) MC, GR

7 8 . 5 7

9th Grade

MA.A.4.4.1

8) The circle graph below represents the areas

of nine national parks located in Florida in

2001. The largest of these, the Everglades,

contained about 1.5 million acres in 2001. Which

of these is closest to the number of acres

contained in the other eight designated parks in

2001?

uses estimation strategies in complex situations

to predict results and to check the

reasonableness of results. (Also assesses

A.4.2.1 and B.3.4.1) MC

9th Grade

MA.A.4.4.1

Which of these is closest to the number of acres

contained in the other eight designated parks in

2001?

uses estimation strategies in complex situations

to predict results and to check the

reasonableness of results. (Also assesses

A.4.2.1 and B.3.4.1) MC

9th Grade

MA.B.1.4.1

9) A water sprinkler was installed at each

corner of the city park. A sketch of the square

park is shown below. Each sprinkler can water

exactly halfway down each side of the park.

uses concrete and graphic models to derive

formulas for finding perimeter, area, surface

area, circumference, and volume of two- and

three-dimensional shapes, including rectangular

solids, cylinders, cones, and pyramids. (Also

assesses B.1.2.2 and B.1.4.2) Grade 9 MC,

GR Grade 10 MC, GR, SR

9th Grade

MA.B.1.4.1

Which of the following expressions could be used

to determine the area of the park that was laid

with bricks?

uses concrete and graphic models to derive

formulas for finding perimeter, area, surface

area, circumference, and volume of two- and

three-dimensional shapes, including rectangular

solids, cylinders, cones, and pyramids. (Also

assesses B.1.2.2 and B.1.4.2) Grade 9 MC,

GR Grade 10 MC, GR, SR

9th Grade

MA.B.1.4.1

10) Bernard is building a model of the Great

Pyramid located in Giza, Egypt. The Great Pyramid

is approximately 450 feet high, and each side of

the square base is 750 feet long. For Bernards

scale model, 1 inch represents 25 feet. What is

the volume, in cubic inches, of Bernards model

pyramid?

uses concrete and graphic models to derive

formulas for finding perimeter, area, surface

area, circumference, and volume of two- and

three-dimensional shapes, including rectangular

solids, cylinders, cones, and pyramids. (Also

assesses B.1.2.2 and B.1.4.2) Grade 9 MC,

GR Grade 10 MC, GR, SR

5 4 0 0

9th Grade

MA.B.1.4.2

11) Home run hitters Mark McGwire and Sammy Sosa

often hit baseballs at speeds of 120 miles per

hour (mph). At that rate, how many feet would a

baseball travel in 1 second?

uses concrete and graphic models to derive

formulas for finding rate, distance, time, angle

measures, and arc lengths. (Also assesses

B.1.2.2) MC, GR

9th Grade

MA.B.1.4.2

12) The circle graph below shows that 28 of the

Walker familys monthly expenses is for housing

and 12 is for transportation.

uses concrete and graphic models to derive

formulas for finding rate, distance, time, angle

measures, and arc lengths. (Also assesses

B.1.2.2) MC, GR

9th Grade

MA.B.1.4.2

How many degrees greater is the measure of the

angle that represents housing than the measure of

the angle that represents transportation?

uses concrete and graphic models to derive

formulas for finding rate, distance, time, angle

measures, and arc lengths. (Also assesses

B.1.2.2) MC, GR

5 7 . 6

9th Grade

MA.B.1.4.3

13) The nutrition label on a bag of chocolate

chip cookies is shown below.

relates the concepts of measurement to similarity

and proportionality in real-world

situations. Grade 9 MC, GR Grade 10 (Assessed

with C.2.4.1)

Lyle ate 7 cookies from this bag. How many

calories from fat did he consume?

9th Grade

MA.B.1.4.3

Lyle ate 7 cookies from this bag. How many

calories from fat did he consume?

relates the concepts of measurement to similarity

and proportionality in real-world

situations. Grade 9 MC, GR Grade 10 (Assessed

with C.2.4.1)

9th Grade

MA.B.1.4.3

14) A high school soccer field that meets the

regulation size requirements measures 100 yards

long by 60 yards wide.

relates the concepts of measurement to similarity

and proportionality in real-world

situations. Grade 9 MC, GR Grade 10 (Assessed

with C.2.4.1)

Palmas Verdes High School uses a practice soccer

field that is similar in shape, but with a length

20 yards less than the length of this regulation

field. What is the width, in yards, of the

schools practice field?

9th Grade

MA.B.1.4.3

A high school soccer field that meets the

regulation size requirements measures 100 yards

long by 60 yards wide. Palmas Verdes High School

uses a practice soccer field that is similar in

shape, but with a length 20 yards less than the

length of this regulation field. What is the

width, in yards, of the schools practice field?

relates the concepts of measurement to similarity

and proportionality in real-world

situations. Grade 9 MC, GR Grade 10 (Assessed

with C.2.4.1)

4 8

9th Grade

MA.B.2.4.1

selects and uses direct (measured) or indirect

(not measured) methods of measurement as

appropriate. Grade 9 MC, GR Grade 10 MC

15) A catering company is preparing for a

fundraiser that will be attended by 150 people.

The punch served will be made of equal parts

ginger ale and juice. The ginger ale will be

purchased in bottles that contain 0.528 gallon

each. What is the minimum number of bottles of

ginger ale needed so that each person can have 2

servings of punch that are 8 ounces each?

9th Grade

MA.B.2.4.1

16) Doug is visiting Fira, the capital of the

Greek island Santorini. There are 566 steps in

the stairway leading from the Aegean Sea to the

city. Each step is 0.46 meter high. Doug has

already climbed 25 of the steps to the city. To

the nearest thousandth of a kilometer, how many

kilometers does Doug have left to climb?

selects and uses direct (measured) or indirect

(not measured) methods of measurement as

appropriate. Grade 9 MC, GR Grade 10 MC

. 1 5 6

9th Grade

MA.B.2.4.2

solves real-world problems involving rated

measures (miles per hour, feet per second).

(Also assesses B.2.3.2) MC, GR

17) Diedra works at a computer store and earns a

12 bonus for each computer she sells. Her bonus

check was 756 for 21 days of work. If she sold

the same number of computers each day, how many

computers did Diedra sell per day?

9th Grade

MA.B.2.4.2

18) Trenton and Bianca will be hiking on the

Appalachian Trail beginning at Katahdin, Maine,

through New Hampshire and Vermont, to the

Vermont-Massachusetts border.

solves real-world problems involving rated

measures (miles per hour, feet per second).

(Also assesses B.2.3.2) MC, GR

9th Grade

MA.B.2.4.2

19) They expect to travel at a rate of 12 miles

per day. How many days of hiking will it take

them to reach the Massachusetts border?

solves real-world problems involving rated

measures (miles per hour, feet per second).

(Also assesses B.2.3.2) MC, GR

4 9

9th Grade

MA.C.1.4.1

20) Figure ABCD is a rhombus. The length of line

segment AB measures (x 5), and the length of

line segment BC measures (2x). Which

statement explains why the equation 2x x 5

can be used to solve for x ?

uses properties and relationships of geometric

shapes to construct formal and informal proofs.

(Also assesses C.1.2.1 and C.1.3.1) MC, GR

9th Grade

MA.C.1.4.1

21) Mark baked a circular pie with center B as

shown below. Susie cut a slice of pie as shown by

ABC. The measure of ABC is 72. What percent of

the pie remains?

uses properties and relationships of geometric

shapes to construct formal and informal proofs.

(Also assesses C.1.2.1 and C.1.3.1) MC, GR

8 0

9th Grade

MA.C.2.4.1

22) Which of the following graphs best

represents a curve that is symmetric with respect

to only the y-axis?

understands geometric concepts such as

perpendicularity, parallelism, tangency, congruenc

y, similarity, reflections, symmetry, and

transformations including flips (reflections),

slides (translations), turns (rotations),enlargeme

nts , rotations, and fractals. (Also assesses

B.1.4.3, C.1.4.1, andC.3.4.1) Grade 9 MC,

GR Grade 10 MC, GR, ER

9th Grade

MA.C.2.4.1

23) In triangle ABC below, hypotenuse AC is on

AD. What is the measure, in degrees, of angle

BAC ?

understands geometric concepts such as

perpendicularity, parallelism, tangency, congruenc

y, similarity, reflections, symmetry, and

transformations including flips (reflections),

slides (translations), turns (rotations),enlargeme

nts , rotations, and fractals. (Also assesses

B.1.4.3, C.1.4.1, andC.3.4.1) Grade 9 MC,

GR Grade 10 MC, GR, ER

7 0

9th Grade

MA.C.3.4.1

24) Tila is creating the letters for a Value

Day Sale sign for her store on a coordinate

grid. What should the missing coordinate be on

the graph to make the letter V symmetric about

the y-axis?

represents and applies geometric properties and

relationships to solve real-world and

mathematical problems including ratio,

proportion, and properties of right triangle

trigonometry. (Also assesses C.2.4.1) MC, GR

9th Grade

MA.C.3.4.1

represents and applies geometric properties and

relationships to solve real-world and

mathematical problems including ratio,

proportion, and properties of right triangle

trigonometry. (Also assesses C.2.4.1) MC, GR

9th Grade

MA.C.3.4.1

- The graph of AB below represents the equation
- y 2x - 2. If AB is reflected once over

the x-axis, what would be the new value of y when

x 0?

represents and applies geometric properties and

relationships to solve real-world and

mathematical problems including ratio,

proportion, and properties of right triangle

trigonometry. (Also assesses C.2.4.1) MC, GR

2

9th Grade

MA.C.3.4.2

26) The graph of line l is shown below. Which

of the following is an equation of a line that is

parallel to line l in the graph?

using a rectangular coordinate system (graph),

applies and algebraically verifies properties of

two- and three-dimensional figures, including

distance, midpoint, slope, parallelism, and

perpendicularity. (Also assesses C.3.3.2 and

D.2.4.1) Grade 9 MC, GR Grade 10 MC, GR, SR

9th Grade

27) The graph below shows the path of a

microwave signal transmitted from point A at the

top of a mountain to point B in the valley. Each

grid square measures 1 mile by 1 mile. What is

the distance, in miles, between points A and B ?

MA.C.3.4.2

using a rectangular coordinate system (graph),

applies and algebraically verifies properties of

two- and three-dimensional figures, including

distance, midpoint, slope, parallelism, and

perpendicularity. (Also assesses C.3.3.2 and

D.2.4.1) Grade 9 MC, GR Grade 10 MC, GR, SR

9th Grade

MA.C.3.4.2

What is the distance, in miles, between points A

and B ?

using a rectangular coordinate system (graph),

applies and algebraically verifies properties of

two- and three-dimensional figures, including

distance, midpoint, slope, parallelism, and

perpendicularity. (Also assesses C.3.3.2 and

D.2.4.1) Grade 9 MC, GR Grade 10 MC, GR, SR

1 5

9th Grade

MA.D.1.4.1

describes, analyzes, and generalizes

relationships, patterns, and functions using

words, symbols, variables, tables, and

graphs. MC, GR

28) Many authors and publishers charge fees for

the rights to produce their plays. One community

theater is being charged 1500 plus 6.5 of the

ticket sales. If s ticket sales, and c total

charges, which of the following equations shows

how to determine the total charges?

9th Grade

MA.D.1.4.1

29) The table shows values of x and y for the

equation 2x2 - y 0. What value of y makes

this equation true when x 3?

describes, analyzes, and generalizes

relationships, patterns, and functions using

words, symbols, variables, tables, and

graphs. MC, GR

1 8

9th Grade

30) A cosmetic company currently sells its face

soap in cylindrical jars that have a height of 2

inches (in.) and a radius of 1.5 inches. The

company wants to enlarge its jars to put more

face soap in each jar. They want the new jar to

have exactly twice the volume of the current jar.

Which change in dimensions will achieve this

goal?

MA.D.1.4.2

determines the impact when changing parameters of

given functions. Grade 9 MC, GR Grade 10 MC,

GR, SR

9th Grade

MA.D.1.4.2

31) The telephone company that Deon uses for

long-distance calls charges a flat fee of 10.00

per month plus 0.25 per minute of usage. Deons

long-distance bill for February was 22.25. The

charge per minute was changed to 0.20 for March.

If Deon used the same number of minutes in March

as he did in February, what will Deons savings

be, in dollars, for his total long-distance bill?

determines the impact when changing parameters of

given functions. Grade 9 MC, GR Grade 10 MC,

GR, SR

2 . 4 5

9th Grade

MA.D.2.4.2

32) To get the full benefit from aerobic

exercise, an athletes heart rate should reach a

target rate. To figure the appropriate target

heart rate, the formula 198 - 0.9a T may be

used, where T represents the target heart rate

and a represents the athletes age. Which of the

following equations is equivalent to 198 - 0.9a

T ?

uses systems of equations and inequalities to

solve real-world problems graphically,

algebraically, and with matrices. (Also

assesses D.2.3.1, D.2.3.2, and D.2.4.1) Grade 9

MC, GR Grade 10 MC, GR, SR

9th Grade

MA.D.2.4.2

33) At Mathematics Field Day, the mathematics

club plans to give each participant a math pin.

The company that manufactures the pins charges

1.10 per pin and a one-time design fee of 45.

Because the club is sponsored by the school, no

tax will be added. If the club spends no more

than 150 on the pins, what is the greatest

number of math pins the club can order?

uses systems of equations and inequalities to

solve real-world problems graphically,

algebraically, and with matrices. (Also

assesses D.2.3.1, D.2.3.2, and D.2.4.1) Grade 9

MC, GR Grade 10 MC, GR, SR

9 5

9th Grade

MA.E.1.4.1

34) The box-and-whisker plot below shows the

number of points the Chicago Bulls scored per

game in February 1998. Which of the following

statements is a correct interpretation of the

box-and-whisker plot?

interprets data that has been collected,

organized, and displayed in charts, tables, and

plots. (Also assesses E.1.3.1 and

E.1.4.3) Grade 9 MC, GR Grade 10 MC, GR, ER

9th Grade

MA.E.1.4.1

35) The following stem-and-leaf plot shows the

hourly wages of a group of 25 workers. The

workers are performing similar tasks but, because

of differences in length of work experience and

skill, are paid at different rates. What percent

of the workers are paid less than 18 per hour ?

interprets data that has been collected,

organized, and displayed in charts, tables, and

plots. (Also assesses E.1.3.1 and

E.1.4.3) Grade 9 MC, GR Grade 10 MC, GR, ER

5 6

9th Grade

36) The number of portable buildings produced by

Chambers Manufacturing last week was 70 on

Monday, 60 on Tuesday, 80 on Wednesday, and 50 on

Thursday. After production on Friday, the mean

number of buildings produced for the week was 67.

What is the median number of buildings produced

last week by Chambers Manufacturing?

MA.E.1.4.2

calculates measures of central tendency (mean,

median, and mode) and dispersion (range, standard

deviation, and variance) for complex sets of data

and determines the most meaningful measure

to describe the data. (Also assesses

E.1.4.3) MC, GR

9th Grade

MA.E.1.4.2

37) Ed bowled six games at Jordans Bowlerama.

For the first 5 games that Ed bowled, his mean

score was 120. He bowled a score of 180 for his

6th game. What was his mean bowling score for all

6 games?

calculates measures of central tendency (mean,

median, and mode) and dispersion (range, standard

deviation, and variance) for complex sets of data

and determines the most meaningful measure

to describe the data. (Also assesses

E.1.4.3) MC, GR

1 3 0

9th Grade

MA.E.2.4.1

38) A fair coin is tossed twice. What is the

probability that the coin will show heads both

times?

determines probabilities using counting

procedures, tables, tree diagrams, and formulas

for permutations and combinations. (Also

assesses E.2.4.2) MC, GR

9th Grade

MA.E.2.4.1

39) Students at Sawgrass High School will begin

wearing uniforms in P. E. classes in the fall.

Each student will have 3 different-colored

shirts, black, red, and white, and 3

different-colored pairs of shorts, black, red,

and white. If a students uniform consists of 1

shirt and 1 pair of shorts, what is the total

number of different uniforms the student can

wear?

determines probabilities using counting

procedures, tables, tree diagrams, and formulas

for permutations and combinations. (Also

assesses E.2.4.2) MC, GR

9

9th Grade

MA.E.3.4.1

40) The table below reports the approximate

lowest frequency and the approximate highest

frequency of the hearing ranges for humans and

five other animals. Frequency is measured in

Hertz (Hz), which is 1 vibration per second.

designs and performs real-world statistical

experiments that involve more than one variable,

then analyzes results and reports findings.

(Also assesses E.3.3.1 and E.3.4.2) MC

Which of the following statements is NOT

supported by the data given in the table?

9th Grade

MA.E.3.4.1

designs and performs real-world statistical

experiments that involve more than one variable,

then analyzes results and reports findings.

(Also assesses E.3.3.1 and E.3.4.2) MC

Which of the following statements is NOT

supported by the data given in the table?

9th Grade

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