Math Summer Packet For

Students Entering 7

Math Summer Packet For

Students Entering 7th Grade

Doral Academy Prep SchoolMath Department

Dear Parents and Students,

We are assigning this work in an effort to prepare our students for a successful school year,

and to provide them with an appropriate way to assist them retaining basic mathematical knowledge

needed for the 7th grade.

This work is not intended to be completed in one sitting. It is intended to be completed at a

steady pace throughout the summer. It will be the first grade to be entered in the grade book upon

returning to school. All exercises have space to show calculations, and calculator answers will not be

accepted. All work must be shown to receive the credit.

The students may be assisted, and we encourage you use the Glossary included in the

school’s website, on Mrs. Linette Prats’ page. Additionally, each section begins with examples to be

followed, and you may refer to the provided FCAT 2.0 Reference Sheet.

Remember that the educational process is a team effort and we all play vital roles- teachers,

parents, and students.

Your partners in education,

Doral Academy’s Math Department Team

Grades 6–8 FCAT 2.0 Mathematics Reference Sheet

KEY

Area

Volume/Capacity

Rectangle A bh

Parallelogram A bh

Triangle A 1 2 bh

Trapezoid A 1 2 h (b1 b2)

b

d

h

r

w

base

diameter

height

radius

width

S.A. surface area

A area B area of base C circumference

volumeV P perimeter of base

slant height

Use 3.14 or for π. 22 7

Circumference C πd or C 2πr

Circle A π r2

Total Surface Area

Rectangular Prism V V

bwh or Bh

orS A bh bw hw . . = + +2 2 2 S A Ph B. . = + 2

Right Circular Cylinder

V V Bh

orπr2h S.A. 2πrh 2B S.A. or2πrh 2πr2

Right Square Pyramid

V 1 3 Bh BPS.A. 1

2

Right Circular Cone V

V

or 1 3 πr2 h 1 3 Bh

S A r B. . ( )= +2�1 2

Sum of the measures of the interior angles of a polygon = 180(n − 2)

Measure of an interior angle of a regular polygon = 180(n 2)n

where: n represents the number of sides

Florida Department of Education

FL522263_Gr6_Mth_TB 5/18/10 1:02 PM Page 4

FL522263_Gr6_Mth_TB 5/18/10 1:02 PM Page 5

Pythagorean theorem

a2 b2c

b

a

Simple interest formula

c2 I prt

where p principal, r rate, t time

Slope-intercept form of a linear equation

Distance, rate, time formula

d rty mx b

where m slope and b y-intercept where d distance, r rate, t time

Conversions within a System of Measure 1 yard 3 feet 1 mile 1,760 yards 5,280 feet 1 acre 43,560 square feet

1 cup 8 fluid ounces 1 pint 2 cups 1 quart 2 pints 1 gallon 4 quarts 1 pound 16 ounces 1 ton 2,000 pounds

1 meter 100 centimeters 1000 millimeters 1 kilometer 1000 meters

1 liter 1000 milliliters 1000 cubic centimeters 1 gram 1000 milligrams 1 kilogram 1000 grams

1 minute 60 seconds 1 hour 60 minutes 1 year 52 weeks 365 days

Conversions between Systems of Measure

1 inch 2.54 centimeters 1 foot 0.305 meter 1 mile 1.61 kilometers

When converting from Customary to Metric, use these approximations. 1 cup 0.24 liter 1 gallon 3.785 liters 1 ounce 28.35 grams 1 pound 0.454 kilogram

1 centimeter 0.39 inch 1 meter 3.28 feet 1 kilometer 0.62 mile

°C (°F 32) 1.8 °F (°C 1.8) 32

When converting from Metric to Customary, use these approximations. 1 liter 4.23 cups 1 liter 0.264 gallon 1 gram 0.0352 ounce 1 kilogram 2.204 pounds

Temperature conversions between Celsius and Fahrenheit

Grades 6–8 FCAT 2.0 Mathematics Reference Sheet

Florida Department of Education

Big Idea 1: BIG IDEA 1

Develop an understanding of and apply proportionality, including similarity.

1.) It is recommended that for every 8surface, a pond should have 2 fish. A psurface of 72 square feet should contain

3.) 9 is what percent of 30?

5.) Kristen and Melissa spent 35% of ttickets. How much money did they spe

Develop an understanding of and apply proportionality, including similarity.

square feet ofpond that has ain how many fish?

2.) An 8-ounce glass of Oranmilligrams of vitamin C. Howmilligrams of vitamin C?

4.) What percent of 56 is 1

their $32.00 on moviepend?

6.) Jake’s club has 35 mem60% of them must be presenmany members must be pre

Develop an understanding of and apply proportionality, including similarity.

ange juice contains 72w much juice contains 36

14?

mbers. Its rules require thatnt for any vote. At least how

esent to have a vote?

Objective: Determine rate of increase andExamples:

A percent of change is a ratio thatis increased, it is a PERCENT OFDECREASE.

1.) Determine the percent of change. Rnearest whole percent if necessary. Statpercent of change is an INCREASE or DOriginal: 250New: 100

3.) Determine the percent of change. Rnearest whole percent if necessary. Statpercent of change is an INCREASE or D

Original: $84New: $100

5.) Alicia planted 45 tulip bulbs last yeaplans to plant 65 bulbs. Determine thein the number of tulip bulbs to the neare

nd decrease, discounts, simple interest, commission

compares the change in quantity to the original amINCREASE. If the original quantity is decreased,

Round to theate whether theDECREASE.

2.) Determine the sale price

$39.00 jeans40% off

Round to theate whether theDECREASE.

4.) Justin is buying a cell p$149. The cell phone is onprice. What will be the sale

ear. This year shepercent of increase

est tenth.

**6.) You want to buy a newas $48 dollars. The sale ppercent of discount to the n

on, sales tax.

amount. If the original quantityit is a PERCENT OF

rice to the nearest cent.

phone that has a regular price ofn sale for 15% off the regularle price?

ew sweater. The regular priceprice was $34. What was the

nearest percent.

Objective: Determine the surface area of geometric solids using rectangular prisms.

The sum of the areas of all the surfaces, or faces, of a three-dimensional figure is the surface area. The surface area S of a

rectangular prism with length l, width w, and height h is found using the following formula:

S = 2lw + 2lh + 2wh

Example: Find the surface area of the rectangular prism.

You can use the net of the rectangular prism to find its surface area. Thereare 3 pairs of congruent faces on a rectangular prism:

top and bottom

front and back

two sidesFaces Areatop and bottom (4 • 3) + (4 • 3) = 24front and back (4 • 2) _ (4 • 2) =16two sides (2 • 3) + (2 • 3) = 12Sum of the areas 24 + 16 + 12 = 52

Alternatively, replace l with 4, w with 3, and h with 2 in the formula for surface area.S = 2lw + 2lh + 2whS = 2 • 4 • 3 + 2 • 4 • 2 + 2 • 3 • 2 Follow order of operations. S = 24+ 16 + 12S = 52 So, the surface area of the rectangular prism is 52 square meters.

Find the surface area of the rectangular prisms below. Round to the nearest tenth, if necessary.

1.) 2.)

3.) 4.)

5.) A packaging company needs to know how muchcardboard will be required to make boxes 18 inches long,

12 inches wide, and 10 inches high. How much cardboard will be

needed for each box if there is no overlap in the construction?

6.) Oscar is making a play block for his baby sister by

gluing fabric over the entire surface of a foam block. How

much fabric will Oscar need?

Big Idea 2: BIG IDEA 2

Develop an understanding of and use formulas to determine surface areas and volumes of three-dimensional shapes.

Big Idea 3: BIG IDEA 3

Develop an understanding of operations on all rational numbers and solving linear equations.

Objective: Add, subtract, and multiply positive fractions and mixed numbers.

Examples:To add unlike fractions (fractions with different denominators), rename the fractions so there is a commondenominator.

Add:1 + 2 1 = 1x5 = 5 2 = 2x6 = 12 5 + 12 =17

6 5 6 6x5 30 5 5x6 30 30 30 30

Add: 121 +

82

121 =

121x3 =

123

82 =

82x2 =

84

2 3 2 2x3 6 3 3x2 6

123 +

84 =

207 7

is improper so we must change it to proper. 7 divided by 6 = 11

6 6 6 6 6

20 + 11 =

211

6 6

1.) Add:1 + 1

3 92.) Add: 7

4 +10

2

9 9

3.) Add: 15 +

41

9 64.) Add: 2

1 +2

2

2 3

5.) A quiche recipe calls for 23

cups of grated cheese.4

A recipe for quesadillas requires 11

cups of grated3

cheese. What is the total amount of grated cheeseneeded for both recipes?

6.) You want to make a scarf and matching hat. The

pattern calls for 17

yards of fabric for the scarf and8

21

yards of fabric for the hat. How much fabric do you2

need in all?

Show yourwork!

1) Subtract:9 - 1

10 102) Subtract:

2 - 1

3 6

3) Subtract: 97 -

43

10 54.) Subtract: Subtract: 5

3 -4

11

8 12

5.) Melanie had 42

pounds of chopped walnuts. She3

used 1 1 pounds in a recipe. How many pounds of4

chopped walnuts did she have left?

6.) Lois has 31

pounds of butter. She uses3

pound in3 4

a recipe. How much does she have left? *Hint: Change toimproper fractions first.

Show yourwork!

1)ଶ

ଷxସ

ହ

2)

3)4)

5) Anna wants to make 4 sets of curtains. Each set

requires 51

yards of fabric. How much fabric does she8

need?

6) One sixth of the students at a local college are seniors.

The number of freshmen students is 21

times that2

amount. What fraction of the students are freshmen?

7

3x 4

1

2

21

2x 2

1

3 3 x 52

9

Estimate by rounding. Show all your work.

1) 34.84 – 17.69 + 8.4 2)

3) 26.3 x 9.74)

5) 41.79 ÷ 6.8 5)

21

5÷ 3

1

2

43

8x 5

1

4

158

9x 3

3

5

Show yourwork!

Objective: Evaluate numeric expressions using order of operations with no more than 4 operations.

Example 1: Evaluate 14 + 3(7 – 2) – 2 • 5 Example 2: 8 + (1 + 5)2 ÷ 4

14 + 3(7 – 2) – 2 • 5 8 + (1 + 5)2 ÷ 4= 14 + 3(5) – 2 • 5 Subtract first since 7 – 2 is in parentheses = 8 + (6)2 ÷ 4 Add first since 1 + 5 is in parentheses

= 14 + 15 – 2 • 5 Multiply left to right, 3 • 5 = 15 = 8 + 36 ÷ 4 Find the value of 62

= 14 + 15 – 10 Multiply left to right, 2 • 5 = 10 = 8 + 9 Divide 36 by 4

= 29 – 10 Add left to right, 14 + 15 = 29 = 17 Add 8 and 9

= 19 Subtract 10 from 29

Evaluate each of the following. Show each step!1.) (2 + 10)2 ÷ 4 2.) (6 + 5) • (8 – 6)

3.) 72 ÷ 3 – 5(2.8) + 9 4.) 3 • 14(10 – 8) – 60

5.) The perimeter of a hexagon is found by adding thelengths of all six sides of the hexagon. For the hexagonbelow write a numerical expression to find the perimeter.Then evaluate the expression.

6.) Without parentheses, the expression 8 + 30 ÷ 2 + 4equals 27. Place parentheses in the expressionso that it equals 13; then 23.

Use the order of operations to evaluate numerical expressions.

1. Do all operations within grouping symbols first.2. Evaluate all powers before other operations.3. Multiply and divide in order from left to right.4. Add and subtract in order from left to right.

Objective: Determine the unknown in a linear equation with 1 or 2 operations

Example 1: Solve x + 5 = 11x + 5 = 11 Write the equation x + 5 = 11 Write the equation

- 5 = - 5 Subtract 5 from both sides Check 6 + 5 = 11 Replace x with 6x = 6 Simplify 11 = 11 The sentence is true

Example 2: Solve - 21 = - 3y-21 = -3y Write the equation - 21 = - 3y Write the equation- 3 = - 3 Divide each side by – 3 Check - 21 = - 3(7) Replace the y with 77 = y Simplify -21 = - 21? Multiply – is the sentence true?

Example 3: Solve 3x + 2 = 233x + 2 = 23 Write the equation 3x + 2 = 23 Write the equation

- 2 = - 2 Subtract 2 from each side 3(7) + 2 = 23? Replace x with 73x = 21 Simplify Check 21 + 2 = 23? Multiply3 3 Divide each side by 3 23 = 23? Add – is the sentence true?

x = 7 Simplify

1.) Solve x – 9 = -12 2.) Solve 48 = - 6r

3.) Solve 2t + 7 = -1 4.) Solve 4t + 3.5 = 12.5

5.) It costs $12 to attend a golf clinic with a local pro.Buckets of balls for practice during the clinic cost $3 each.How many buckets can you buy at the clinic if you have$30 to spend?

6.) An online retailer charges $6.99 plus $0.55 per poundto ship electronics purchases. How many pounds is a DVDplayer for which the shipping charge is $11.94?

Remember, equations must always remain balanced.

If you add or subtract the same number from each side of an equation, the two sides remain equal.If you multiply or divide the same number from each side of an equation, the two sides remain equal.

Show yourwork!

Phrases Expression4 subtracted from a numbera number minus 44 less than a numbera number decreased by 4the difference of h and 4

h - 4

Phrases Expressiona number divided by 5the quotient of t and 5divide a number by 5

t

5

Objective: Write an algebraic expression to represent unknown quantities with one unknown and 1 or 2 operations.Examples:

The tables below show phrases written as mathematical expressions.

Write each phrase as an algebraic expression. Do not solve.

Phrases Expression9 more than a numberthe sum of 9 and a numbera number plus 9a number increased by 9the total of x and 9

x + 9

Phrases Expression6 multiplied by g6 times a numberthe product of g and 6

6g

1.) 7 less than m 2.) The quotient of 3 and y

3.) 7 years younger than Jessica 4.) 3 times as many marbles as Bob has

5) Let t = the number of tomatoes Tye planted last year. Thisyear she planted 3 times as many. Write an algebraicexpression to show how many tomatoes Tye planted thisyear.

6.) Last week Jason sold x number of hot dogs at thefootball game. This week he sold twice as many as lastweek, and then he sold 10 more. Write an expression toshow how many hot dogs Jason sold this week.

Supporting Idea 4: Geometry and Measurement

Geometry and Measurement

Objective: Identify the result of one translation, reflection, or rotation

A translation is the movement of a geometric figure in some direction without turning the figure.When translating a figure, every point of the original figure is moved the same distance and in thesame direction. To graph a translation of a figure, move each vertex of the figure in the givendirection. Then connect the new vertices.

Example: Triangle ABC has vertices A(- 4, - 2), B(- 2, 0), and C(- 1, - 3).Find the vertices of triangle A’B’C’ after a translation of5 units right and 2 units up.

Add 5 to each x-coordinate Add 2 to each y-coordinate

The coordinates of the vertices of A’B’C’ are A’(1, 0), B’(3, 2), and C’(4, - 1).

1.) Translate GHI 1 unit left and 5 units down. 2.) Translaterectangle LMNO 3 units up and 4 units right.

3.) XYZ has vertices X(- 4, 5), Y(- 1, 3), and Z(- 2, 0). Findthe vertices of X’Y’Z after a translation of 4 units right and 3units down. Then graph the figure and its translated image.

4.) Parallelogram RSTU has vertices R(- 1, - 3), S(0, - 1),T(4, -1), and U(3, - 3). Find the vertices of R’S’T’U’

after a translation of 3 units left and 3 units up. Then graph thefigure and its translated image.

Objective: Graph ordered pairs in a coordinate plane.

The coordinate plane is used to locate points. The horizontal number line is the x-axis. Thevertical number line is the y-axis. Their intersection is the origin.

Points are located using ordered pairs. The first number in an ordered pair is the x-coordinate;the second number is the y-coordinate.

The coordinate plane is separated into four sections called quadrants.

Example 1: Name the ordered pair for point P. Then identify the quadrant in which P lies.

• Start at the origin.• Move 4 units left along the x-axis.• Move 3 units up on the y-axis.

The ordered pair for point P is (- 4, 3).P is in the upper left quadrant or quadrant II.

Example 2: Graph and label the point M (0, - 4).• Start at the origin.• Move 0 units along the x-axis.• Move 4 units down on the y-axis.• Draw a dot and label it M(0, - 4).

1.) Name the ordered pair for each point graphed at theright. Then identify the quadrant in which each point lies.

Coordinates Quadrant

P ( , ) ______

Q ( , ) ______

R ( , ) ______

S ( , ) ______

2.) Find each of the points below on the coordinate plane.Then identify the quadrant in which each point lies.

Coordinates Quadrant

A ( , ) ____

J ( , ) ____

B ( , ) ____

H ( , ) ___

3.) Graph and label each point on the coordinate plane.

N (3, -1)

P (-2, 4)

Q (-3, -4)

R (0, 0)

S (-5, 0)

4.) Graph and label each point on the coordinate plane.

D (0, 4)

E (5, 5)

G (-3, 0)

H (-6, -2)

J (0, -2)

Objective: Identify the result of one translation, reflection, or rotation

A type of transformation where a figure is flipped over a line of symmetry is a reflection. To draw the reflection ofa polygon, find the distance from each vertex of the polygon to the line of symmetry. Plot the new vertices thesame distance from the line of symmetry but on the other side of the line. Then connect the new vertices tocomplete the reflected image.

• To reflect a point over the x-axis, use the same x-coordinate and multiply the y-coordinate by -1.• To reflect a point over the y-axis, use the same y-coordinate and multiply the x-coordinate by -1.

Example: Triangle DEF has vertices D(2, 2), E(5, 4), and F(1, 5). Find the coordinates of the vertices of DEF after areflection over the x-axis. Then graph the figure and its reflected image.

Plot the vertices and connect them to form DEF. The x-axis is the line of symmetry. The distance from a pointon DEF to the line of symmetry is the same as the distance from the line of symmetry to the reflected image.

1.) ABC has vertices A(0, 4), B(2, 1), and C(4, 3). Findthe coordinates of the vertices of ABC after a reflectionover the x-axis. Then graph the figure and its reflectedimage.

2.) Rectangle MNOP has vertices M(- 2, - 4), N(- 2, - 1),O(3, - 1), and P(3, - 4). Find the coordinates of the verticesof MNOP after a reflection over the x-axis. Then graph thefigure and its reflected image.

3.) Trapezoid WXYZ has vertices W(-1, 3), X(-1, -4),Y(-5, -4), and Z(-3, 3). ). Find the coordinates of thevertices of WXYZ after a reflection over the y-axis.Then graph the figure and its reflected image.

4.) A corporate plaza is to be built around a small lake.Building 1 has already been built. Suppose there are axesthrough the lake as shown. Show where Building 2 shouldbe built if it will be a reflection of Building 1 across they-axis followed by a reflection across the x-axis.

Objective: Estimate and determine the area of quadrilaterals using parallelograms or trapezoids

A trapezoid has two bases, b1 and b2. The height of a trapezoid is the distance between the two bases. The area A ofa trapezoid equals half the product of the height h and the sum of the bases b1 and b2.

A = ½ h(b1 + b2)

Example: Find the area of the trapezoid.

A = 1/2 h (b1 + b2) Area of a trapezoidA = 1/2 (4) (3 + 6) Replace h with 4, b1 with 3, and b2 with 6.A =18

The area of the trapezoid is 18 square centimeters.

Find the area of each trapezoid. Round to the nearest tenth if necessary.1.) 2.)

3.) 4.)

5.) Arkansas has a shape that is similar to a trapezoid withbases of about 182 miles and 267 miles and a height ofabout 254 miles. Estimate the area of the state.

6.) Greta is making a patio with the dimensions given in thefigure. What is the area of the patio?

Show yourwork!

Objective: Estimate and determine the area of quadrilaterals using parallelograms or trapezoids

The area A of a parallelogram equals the product of its base b and its height h. Because rectangles, rhombuses, andsquares are all parallelograms, the formula for finding the area of a parallelogram is also used to find the areas of each

of these figures.

A = bh

Example: Find the area of a parallelogram if the base is 6 inches and the height is 3.7 inches.

Estimate: A = 6 • 4 or 24 in2

Calculate: A =bh Area of a parallelogramA = 6 • 3.7 Replace b with 6 and h with 3.7A = 22.2 Multiply

Check: The area of the parallelogram is 22.2 square inches. This is close to the

estimate. Find the area of each parallelogram. Round to the nearest tenth if necessary.

1.) 2.)

3.) 4.)

5.) Joyce wants to construct a sail with the dimensionsshown. How much material will be used?

6.) Two parallel streets are cut across by two other parallelstreets as shown in the figure. What is the area of thegrassy

area in the middle?

Show yourwork!

Objective: Apply given formulas to a problem-solving situation using formulas having no more than three variables.

1.) The formula for finding the area of a rectangle isA = L • W. Use this formula to find the area of therectangle.

2.) The formula for finding the area of a triangle is

A =1

bh. Find the area of the triangle below.2

3.) A trapezoid has two bases (b1 and b2). The formula forfinding the area of a trapezoid is:

b1 = 8 cm

Find the area of the trapezoid.b2 = 18 cm

4.) The formula for finding the volume of a rectangular prismis

V = L • W • H. Find the volume of the box.

5.) Margot planted a rectangular garden that was 18 feetlong and 10 feet wide. How many feet of fencing will sheneed to go all the way around the garden? P = 2L + 2W

6.) Juan ran all the way around a circular track one time.The diameter (d) of the track is 60 meters. The formula forcircumference of a circle is C = πd. Use this formula to find

out how far Juan ran.

Show yourwork!

Objective: Determine the surface area of geometric solids using rectangular prisms.

Find the surface area of the rectangular prisms below. Round to the nearest tenth, if necessary.

1.) 2.)

3.) A packaging company needs to know how muchcardboard will be required to make boxes 18 inches long,12 inches wide, and 10 inches high. How much cardboardwill be needed for each box if there is no overlap in theconstruction?

4.) Oscar is making a play block for his baby sister bygluing fabric over the entire surface of a foam block. Howmuch fabric will Oscar need?

Showyour

work!

Supporting Idea 5: Number and Operations

Number and Operations

Objective: Use long division to express a rational number as a repeating decimal.

Rewrite each rational number as a repeating decimal. Show all your work Calculator answers are not acceptable.

1) 2.)

3) 4)

2

3

Example: Write3

1as a repeating decimal Divide 1 by 3:

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ଷ)ଵ.

�����ି ଽ����������ଵ����������ି ଽ��������������ଵ

തതതതതതതതതതത

Showyour

work!

1

6

1

9

2

9

1

3= .333ത

Supporting Idea 6: Data Analysis

Data Analysis

Objective: Determine the best choice of a data display for a given data set.Examples:

Different types of graphs are better suited for certain types of data.

Bar Graph – Use when comparing data (Ex. Football teams and # of wins)

Line Graph – Use when data is over time (Ex. Rainfall each month for 1 year)

Circle Graph (Pie Graph) – Use when data is dealing with $ or % (Ex. Allowance – how you spend it)

Stem & Leaf Plot – Use to show individual data (Ex. Class test scores)

Back-to-Back Stem & Leaf Plot – Use when comparing 2 large sets of data & showing individual data scores

Directions: Look at the following situations and tell what type of graph would be the best choice to display the data.Choose BAR, LINE, CIRCLE, or STEM & LEAF.

1.) How the Federal Government spends each part of yourtax dollar

2.) You are keeping track of your little sister’s/brother’s

height from age 3 months to 5 years old.

3.) Lengths of the 5 largest rivers in the world 4.) Number of points scored in each game during the 99-00

season:

5) 6)

Supporting Idea 7: Probability

Probability

1.) A coin is tossed, and a number cube is rolled. What isthe probability of tossing heads, and rolling a 3 or a 5?

2.) A red and a blue number cube are rolled. Determinethe probability that an odd number is rolled on the red cubeand a number greater than 1 is rolled on the blue cube.

3.) One letter is randomly selected from the word PRIMEand one letter is randomly selected from the word MATH.What is the probability that both letters selected arevowels?

4.) What is the probability of spinning a number greaterthan 5 on a spinner numbered 1 to 8 and tossing a tail on acoin?

For questions 5 & 6, use the graph shown at the left. The graphshows the results of a survey in which 50 students were asked toname their favorite X Game sport.

5.) Suppose 500 people attend the X Games. How many can beexpected to choose Inline as their favorite sport?

6.) Suppose 500 people attend the X Games. How many can beexpected to choose speed climbing as their favor sport?

Objective: Make predictions and exprespercent.Examples:Probability is a way to measure the chanprobability, P, of an event.

Probability can be expressed as a FRACT

A jar contains 10 purple, 3 orangeDetermine the probability that you

Step 1 – Determine the total # of mStep 2 – Determine the probability

Step 3 – Simplify the fraction.Step 4 – Convert Fraction to a DeStep 5 – Convert Decimal to a % -

1.) A six-sided number cube is rolled, abelow is spun. Determine the probabilitspinning blue. (B=blue, R=red) Expressfraction, a decimal, and a %.

3.) A jar contains 15 orange, 14 white,and 9 blue marbles. A marble is drawnDetermine the probability for the followinExpress your answer in Fraction, Decim

P (not blue) =

5.) A six-sided die is rolled 20 times anrecorded as follows: 3 ones, 4 twos, 5 thfives, 2 sixes. What is the experimentarolling a number greater than four? Expin Fraction, Decimal, and % forms.

ss probability of the results of a survey or simulation

ance that an event will occur. You can use this for

P =number of favorable outcomes

number of possible outcomes

FRACTION, DECIMAL, or PERCENT.

ange, and 12 blue marbles. A marble is drawn at randou will pick a purple marble. Express your answer in

marbles. 10 + 3 + 12 = 25y of picking a purple marble. P(purple) = numberof

Total marble

ecimal – Divide. 2 ÷ 5 = 0.4- Move decimal 2 places to the right. 0.4 = 40%

and the spinnerty of rolling a 3 andss your answer as a

2.) When Monica rolled hehad these results:

What is the experimental pless than 3? Express yourand a percent.

10 pink, 2 green,at random.ng situation.

cimal, and % forms.

4.) A jar contains 15 orangand 9 blue marbles. A marbDetermine the probability foExpress your answer in Fra

P (pink or orange) =

and the results arethrees, 2 fours, 4

ental probability ofpress your answer

6.) A six-sided die is rolledrecorded as follows: 4 onfives, 4 sixes. What is therolling a number greater thain fraction, decimal, and %

on as a fraction, decimal, or

rmula to determine the

om.in a fraction, decimal, and %.

ofpurple = 10 ÷ 5 = 2les 25 ÷ 5 = 5

her number cube 100 times, she

probability of rolling a numberanswer as a fraction, a decimal,

ge, 14 white, 10 pink, 2 green,rble is drawn at random.or the following situation.

raction, Decimal, and % forms.

d 25 times and the results arenes, 5 twos, 5 threes, 3 fours, 4experimental probability ofan four? Express your answerforms.

Credit is given to the Fairfax County Public School System for the format of this work packet.