grade k-algebra 2 · fluently add, subtract, multiply, and divide multi-digit decimals using the...

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D i a g n o st i c C h a r t suggestions for intervention and remediation suggested materials simplify placement decisions S c o r i n g G u i d e simplify placement S c o i d e Diagnostic and Placement Tests for Grades K through 8, Algebra 1, Geometry, and Algebra 2 Grade K-Algebra 2 I n t e r v e n t i o n / R e m e d i a t i o n

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Page 1: Grade K-Algebra 2 · Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. 3 Fluently divide multi-digit numbers using

ISBN: 978-0-07-662454-6MHID: 0-07-662454-4

Diagnostic Chart

suggestions for intervention and remediation suggested materials

Diagnostic and Placement Tests

Grade K-Algebra 2simplify placement

decisions

Scoring Guide

simplify placement

Sco ide

Diagnostic and Placement Tests for Grades K through 8, Algebra 1, Geometry, and Algebra 2

Grade K-Algebra 2

ContentsUsing the Diagnostic and Placement Tests

Placement Options

When to Use the Placement Tests

Interpreting Scores

Scoring Guide Masters

Using Placement Tests for Diagnostic Purposes

Learning Objectives Masters

Answer Keys

Inte

rvention/Remediation

connectED.mcgraw-hill.com

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Page 2: Grade K-Algebra 2 · Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. 3 Fluently divide multi-digit numbers using

73 Diagnostic and Placement Tests

Program: DPT Component: Test WorkbookPDF Proof

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.Placement

TestScoringGuide

Student Name

Key: Consider this student for…

6

Math Triumphs

Grade 6 Strategic Intervention —See page 77 for materials list.

Glencoe Math, Course 1

For each part, mark the box under the number of correctly answered questions.

Total

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

0 1 2 3 4 5 6 7 8 9

Ratios and Proportional Relationships

Statistics and Probability

Geometry

Mark the total number correct below.

The Number System

Expressions and Equations

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Page 3: Grade K-Algebra 2 · Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. 3 Fluently divide multi-digit numbers using

Diagnostic and Placement Tests 74

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ompanies, Inc. Perm

ission is granted to reproduce for classroom

use.Placement

TestLearningObjectives 6

Student Name

In the column on the left, mark the questions that the student answered incorrectly.

Domain

Question

Number Objective

The Number System

1Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

2Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

3Fluently divide multi-digit numbers using the standard algorithm.

4Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12.

5Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12.

6Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions.

7 Understand ordering and absolute value of rational numbers.

8Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

Ratios and Proportional Relationships

9Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

10 Find a percent of a quantity as a rate per 100.

11Understand the concept of a unit rate a __ b associated with a ratio a:b with b Þ 0, and use rate language in the context of a ratio relationship.

12Understand the concept of a unit rate a __ b associated with a ratio a:b with b Þ 0, and use rate language in the context of a ratio relationship.

13Solve unit rate problems including those involving unit pricing and constant speed.

Expressions and Equations

14Write, read, and evaluate expressions in which letters stand for numbers.

15Write, read, and evaluate expressions in which letters stand for numbers.

16Use variables to represent numbers and write expressions when solving a real-world or mathematical problem.

17Apply the properties of operations to generate equivalent expressions.

18Solve real-world and mathematical problems by writing and solving equations of the form x 1 p 5 q and px 5 q for cases in which p, q and x are all nonnegative rational numbers.

19Write an inequality of the form x . c or x , c to represent a constraint or condition in a real-world or mathematical problem.

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Page 4: Grade K-Algebra 2 · Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. 3 Fluently divide multi-digit numbers using

75 Diagnostic and Placement Tests

Program: DPT Component: Test WorkbookPDF Proof

Vendor: Aptara Grade: Grade 6

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.Domain

Question

Number Objective

Geometry

20Apply the formulas V 5 lwh and V 5 bh to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

21Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes.

22Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes.

23Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures.

24Use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate.

25Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes.

Statistics and Probability

26Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.

27Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.

28Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

29Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.

30Recognize that a measure of center for a numerical data set summarizes all of its values with a single number.

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Diagnostic and Placement Tests 76

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ompanies, Inc. Perm

ission is granted to reproduce for classroom

use.A Special Note About Intervention

When using diagnostic tests, teachers should always question the reason behind the students’ scores. Students can struggle with mathematics concepts for a variety of reasons. Personalized instruction is recommended for English language learners, students with specific learning disabilities, students with certain medical conditions, or for those who struggle with traditional instructional practice. Teachers should always consider the needs of the individual student when determining the best approach for instruction and program placement.

Student

Performance

Level

Number of

Questions

Correct

Suggestions for Intervention and Remediation

Intensive

Intervention

0–17 Use Math Triumphs to accelerate the achievement of students who are two or more years below grade level. Students should follow a personalized remediation plan. A variety of materials and instructional methods are recommended. For example, instruction and practice should be provided in print, technology, and hands-on lessons.

Strategic

Intervention

18–23 Use the additional Intervention and Remediation materials listed on the next page. This list of materials can provide helpful resources for students who struggle in the traditional mathematics program. Strategic intervention allows students to continue to remain in the Glencoe Math program, while receiving the differentiated instruction they need. Teaching Tips and other resources are also listed in the Teacher Edition.

Grade 6 24 or more Use Glencoe Math. This student does not require overall intervention. However, based on the student’s performance on the different sections, intervention may be required. For example, a student who missed 2 or more questions in the Geometry section may require extra assistance as you cover these skills throughout the year.

6

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77 Diagnostic and Placement Tests

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Get ConnectGet ConnectED Find these materials at www.connectED.mcgraw-hill.com.

Reteach Masters A brief explanation, along with examples and exercises, for every lesson in the Student Edition (Two pages for Problem-Solving Lessons and one page per lesson for all other lessons) and included in the Chapter Resource Masters

Skills Practice Masters

Additional practice in computational and application exercises for each lesson in the Student Edition and included in the Chapter Resource Masters

Homework Practice Masters

Additional practice in computational and spiral review exercises for each lesson in the Student Edition and included in the Chapter Resource Masters

Self-Check Quizzes

Students can check their understanding for each lesson and email their results to the teacher

Chapter Readiness Quizzes

Online assessment to use at the beginning of each chapter in the Student Edition

Personal Tutor Online instructions for step-by-step solutions for the examples of each lesson in the student textbook

Quick Review Skills Workbook

Additional computational practice in basic skills

Additional TechnologyExamView® Assessment Suite

Networkable software includes a Worksheet Builder to make worksheets and tests, a Student Module to take tests on-screen, and a Management System to keep student records

Grade 6Grad

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Diagnostic and Placement Tests 78

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LENGTH

Metric

1 kilometer = 1,000 meters

1 meter = 100 centimeters

1 centimeter = 10 millimeters

Customary

1 mile = 1,760 yards

1 mile = 5,280 feet

1 yard = 3 feet

1 foot = 12 inches

CAPACITY AND VOLUME

Metric

1 liter = 1,000 milliliters

Customary

1 gallon = 4 quarts

1 gallon = 128 ounces

1 quart = 2 pints

1 pint = 2 cups

1 cup = 8 ounces

MASS AND WEIGHT

Metric

1 kilogram = 1,000 grams

1 gram = 1,000 milligrams

Customary

1 ton = 2,000 pounds

1 pound = 16 ounces

TIME

1 year = 365 days

1 year = 12 months

1 year = 52 weeks

1 week = 7 days

1 day = 24 hours

1 hour = 60 minutes

1 minute = 60 seconds

Mathematics Chart1

23

45

67

89

1011

1213

1415

1617

1819

20C

entim

eter

s0

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79 Diagnostic and Placement Tests

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Mathematics Chart1

23

45

60Inches

Area

rectangle A = �w or A = bh

triangle A = 1 _ 2 bh or A = bh

__

2

parallelogram A = bh

trapezoid A = 1 _ 2 (b

1 + b

2)h or

A = (b

1 + b

2)h

_______ 2

Volume

right rectangular prismV = �wh or V = Bh

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1 The table below shows the length of the hiking trails at a 1 local park. Aaron hikes half of the blue trail. What distance did he hike?

Hiking Trails

Trail Length (miles)

Red 1.09 Blue 1.86 Green 1.10 Yellow 1.28

A 0.5 mile B 0.93 mile C 1.86 miles D 3.72 miles

2 Candace is knitting a scarf. The scarf is 4.6 feet long. If 2 she knits another 1.75 feet, how long will the scarf be?

F 6.35 feet G 5.81 feet H 5.35 feet J 2.85 feet

3 Ms. Ayala had 152 pencils. She divided the number of 3 pencils equally among 13 students. She kept the leftover pencils in her desk. What is the greatest number of pencils Ms. Ayala could have given each student?

A 9 B 10 C 11 D 12

4 Kono divides the numerator and denominator of 48 __ 72 by 4

the greatest common factor to simplify the fraction in one step. By what number does he divide?

F 2 H 16

G 12 J 24

Diagnostic and

Placement

Grade 6

Name

Date

This test contains 30 multiple-choice questions. Work each problem in the space on this page. Select the best answer. Write the letter of the answer on the blank at the right.

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81 Diagnostic and Placement Tests

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5 After January 1, Aleta has band practice every fourth day and 5 swimming lessons every third day. If both programs end

January 31, how many days in January will Aleta have both band practice and swimming lessons?

A 1 day C 3 days

B 2 days D 4 days

6 In simplest form, what is the quotient of 1 __ 6 4 2 __ 9 ? 6

F 1 __ 27 H 9 __ 12

G 2 __ 54 J 3 __ 4

7 Which sign makes the number sentence 28 23 true? 7

A . B , C 5 D $

8 A triangle has sides measuring 3.54 inches, 5.12 inches, and 8 2.30 inches. Add to find the perimeter of the triangle.

F 10.69 inches H 11.06 inches

G 10.96 inches J 11.96 inches

9 For every 12 slices of pizza sold at Ping’s Pizza Shop, 9 3 slices are pepperoni, 4 are sausage, and the rest are cheese. What is the ratio of pepperoni to cheese?

A 3:12 C 3:4

B 3:5 D 5:3

10 Kara is training for a 5-kilometer race. On the first day 10 of training, she runs 0.75 kilometer. What percent of the total distance does she run the first day of training?

F 5% H 15%

G 10% J 25%

11 A 4-pack of batteries costs $5.16. At this price, what is 11 the cost of one battery?

A $1.29 C $5.16

B $1.49 D $20.64

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Diagnostic and Placement Tests 82

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ompanies, Inc. Perm

ission is granted to reproduce for classroom

use.12 The table shows the cost of ride tickets at the fair. What is 12 the unit rate for one ride ticket?

Number of Tickets Cost

5 $3.7510 $7.5015 $11.2520 $15.00

F $0.37 G $0.55 H $0.70 J $0.75

13 Kali earned $40 for babysitting for 5 hours. At this rate, 13 how much will she earn for babysitting for 7 hours?

A $8 B $45 C $47 D $56

14 Tia, Veronica, Pam, and Lily are sisters. Tia is 8 years old and 14 she is 2 years older than Pam. Pam is 5 years younger than

Veronica and Veronica is 4 years younger than Lily. Which list has the sisters in order from youngest to oldest?

F Tia, Veronica, Pam, Lily

G Lily, Veronica, Tia, Pam

H Tia, Pam, Veronica, Lily

J Pam, Tia, Veronica, Lily

15 The table below shows the cost for different numbers of tickets. 15

Number of Tickets 2 4 6 8 10

Cost 12 24 36 48 60

Based on the information in the table, which of the following statements is true?

A Each ticket costs $2.

B Each ticket costs $6.

C The more tickets you buy the less each ticket costs.

D The more tickets you buy the greater each ticket costs.

16 Edmundo bought 4 trading cards yesterday. He bought some 16 more trading cards today. Now he has 12 trading cards. If n

represents the number of trading cards Edmundo bought today, which equation is correct?

F 4 1 12 5 n H n 1 12 5 4

G 4 1 n 5 12 J n 1 4 5 16

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83 Diagnostic and Placement Tests

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.17 Which of the following expressions is equivalent to 7(x 1 3)? 17

A 10 1 x C 7x 1 3

B 7x 1 21 D 3x 1 21

18 What is the solution to the equation 5 1 b 5 18? 18

F b 5 5 H b 5 13

G b 5 8 J b 5 23

19 Miguel practiced more than 5 hours for his first soccer game. 19 Which inequality represents p, the amount of time Miguel practiced?

A p . 5 C p 5 5

B p , 5 D p $ 5

20 A rectangular prism is shown below. What is the volume of 20 the prism?

yd12

yd14yd5

6

F 1 __ 2 y d 3 H 5 __ 24 y d 3

G 5 __ 48 y d 3 J 7 __ 12 y d 3

21 Look at the figure below. 21

8 cm

4 cm5 cm

3 cm

What is the area of the figure?

A 12 c m 2 C 38 c m 2

B 32 c m 2 D 42 c m 2

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Diagnostic and Placement Tests 84

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use.22 Lanu draws a rectangle that is 10 inches wide and 20 inches 22 long. Which rectangle described below has the same area?

F 5 inches wide and 25 inches long

G 8 inches wide and 25 inches long

H 15 inches wide and 15 inches long

J 15 inches wide and 25 inches long

23 A box has a square base with each side measuring 8 inches. 23 The height of the box is 4 inches. What is the surface area of the box in cubic inches?

A 96 square inches C 256 square inches

B 192 square inches D 612 square inches

24 On the graph below, what is the length of side AB? 24

y

xO 1 2 3 4 5 6 7

432

65

7

1

-2-3-4-5-6-7

-2-3-4-5-6-7

CB

A

F 3 units G 4 units H 5 units J 6 units

25 Mrs. Brown has a flower garden in the shape of a parallelogram. 25 The length of the base of the garden is 9.5 feet and the height is 4.2 feet. What is the area of the flower garden?

A 19.95 f t 2 B 27.4 f t 2 C 30.7 f t 2 D 39.9 f t 2

26 Mrs. Esperanza’s math class is playing a game using two 26 spinners. One spinner has the colors red, blue, and green. The other spinner has the numbers 1, 2, 3, 4, 5, 6, 7, and 8. How many possible outcomes are there?

F 11 G 16 H 21 J 24

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85 Diagnostic and Placement Tests

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27 Trent has a math quiz every Friday. The table below 27 shows his quiz scores. What is the mode of Trent’s scores?

Trent’s Math Quiz Scores

Quiz 1 2 3 4 5 6 7

Score 97 88 78 77 82 57 88

A 97 B 88 C 82 D 81

28 Kahlid spins a spinner 10 times. The results are shown in the tally 28 chart below. Which of the following graphs show these results?

Spin Results

White Red

Blue

F H

Red

White

Blue

Spin Results

0 1 2 3 4 5 6Number of Spins

Resu

lt

G

Red

White

Blue

Spin Results

0 1 2 3 4 5 6Number of Spins

Resu

lt

J

Red

White

Blue

Spin Results

0 1 2 3 4 5 6Number of Spins

Resu

lt

29 What is the median of these data? 29

67, 98, 78, 75, 83, 44, 98

A 44 C 78

B 75 D 98

30 The number of points Ming scored in each basketball 30 game this season are shown below. What is the mean number of points she scored?

3 7 1 8 2 4 9 10 8 8

F 6 G 8 H 9 J 10

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Diagnostic and Placement Tests 182

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Answers (Grade 6)

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F

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9

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F

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J

24

Dia

gn

os

tic a

nd

Pla

cem

en

t

Gra

de

6

Nam

e

Dat

e

This

test

con

tain

s 30

mul

tipl

e-ch

oice

que

stio

ns. W

ork

each

pro

blem

in th

e sp

ace

on th

is p

age.

Sel

ect t

he b

est a

nsw

er. W

rite

the

lett

er o

f the

ans

wer

on

the

blan

k at

the

righ

t.

073_

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1

Dia

gnos

tic a

nd P

lace

men

t Tes

ts

5 A

fter

Janu

ary

1, A

leta

has

ban

d pr

acti

ce e

very

four

th d

ay a

nd

5

B

swim

min

g le

sson

s ev

ery

thir

d da

y. If

bot

h pr

ogra

ms

end

Janu

ary

31, h

ow m

any

days

in Ja

nuar

y w

ill A

leta

hav

e bo

th

band

pra

ctic

e an

d sw

imm

ing

less

ons?

A

1

day

C

3 da

ys

B

2

days

D

4

days

6 I

n si

mpl

est f

orm

, wha

t is

the

quot

ient

of 1

__

6 4 2 __

9 ?

6

J

F

1 _

_

27

H

9 _

_

12

G

2 _

_

54

J 3 __

4

7 W

hich

sig

n m

akes

the

num

ber s

ente

nce

28

23

true

? 7

B

A

.

B

,

C

5

D

$

8 A

tria

ngle

has

sid

es m

easu

ring

3.5

4 in

ches

, 5.1

2 in

ches

, and

8

G

2.

30 in

ches

. Add

to fi

nd th

e pe

rim

eter

of t

he tr

iang

le.

F

10

.69

inch

es

H

11.0

6 in

ches

G

10

.96

inch

es

J 11

.96

inch

es

9 F

or e

very

12

slic

es o

f piz

za s

old

at P

ing’

s Pi

zza

Sho

p,

9

B 3

slic

es a

re p

eppe

roni

, 4 a

re s

ausa

ge, a

nd th

e re

st a

re

chee

se. W

hat i

s th

e ra

tio

of p

eppe

roni

to c

hees

e?

A

3:

12

C

3:4

B

3:

5

D

5:

3

10

Kar

a is

trai

ning

for a

5-k

ilom

eter

race

. On

the

first

day

1

0

H

of tr

aini

ng, s

he ru

ns 0

.75

kilo

met

er. W

hat p

erce

nt o

f

the

tota

l dis

tanc

e do

es s

he ru

n th

e fir

st d

ay o

f tra

inin

g?

F

5%

H

15

%

G

10

%

J

25%

11

A 4

-pac

k of

bat

teri

es c

osts

$5.

16. A

t thi

s pr

ice,

wha

t is

11

A

th

e co

st o

f one

bat

tery

?

A

$

1.29

C

$

5.16

B

$

1.49

D

$

20.6

4

073_

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161_207_DPT_AK_662454.indd 182161_207_DPT_AK_662454.indd 182 21/09/11 5:02 PM21/09/11 5:02 PM

Page 16: Grade K-Algebra 2 · Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. 3 Fluently divide multi-digit numbers using

Cop

yrig

ht ©

The

McG

raw

-Hill

Com

pani

es, I

nc. P

erm

issi

on

is g

rant

ed to

rep

rodu

ce f

or c

lass

room

use

.

Program: DPT Component: Test Workbook (AK)PDF Proof

Vendor: Aptara Grade: Grade K–Algebra 2

183 Diagnostic and Placement Tests

Answers (Grade 6)

Dia

gnos

tic a

nd P

lace

men

t Tes

ts

82

12

The

tabl

e sh

ows

the

cost

of r

ide

tick

ets

at th

e fa

ir. W

hat i

s 1

2

J

the

unit

rate

for o

ne ri

de ti

cket

?

Nu

mb

er

of

Tic

ke

tsC

os

t

5$

3.75

10$

7.50

15$

11.2

520

$15

.00

F

$

0.37

G

$

0.55

H

$

0.70

J

$0.

75

13

Kal

i ear

ned

$40

for b

abys

itti

ng fo

r 5 h

ours

. At t

his

rate

, 1

3

D

how

muc

h w

ill s

he e

arn

for b

abys

ittin

g fo

r 7 h

ours

?

A

$

8 B

$

45

C

$47

D

$

56

14

Tia

, Ver

onic

a, P

am, a

nd L

ily a

re s

iste

rs. T

ia is

8 y

ears

old

and

1

4

J

she

is 2

yea

rs o

lder

than

Pam

. Pam

is 5

yea

rs y

oung

er th

an

Vero

nica

and

Ver

onic

a is

4 y

ears

you

nger

than

Lily

. Whi

ch

list h

as th

e si

ster

s in

ord

er fr

om y

oung

est t

o ol

dest

?

F

Ti

a, V

eron

ica,

Pam

, Lily

G

Li

ly, V

eron

ica,

Tia

, Pam

H

Ti

a, P

am, V

eron

ica,

Lily

J

Pa

m, T

ia, V

eron

ica,

Lily

15

The

tabl

e be

low

sho

ws

the

cost

for d

iffer

ent n

umbe

rs o

f tic

kets

. 1

5

B

Nu

mb

er

of

Tic

ke

ts2

46

810

Co

st

1224

3648

60

B

ased

on

the

info

rmat

ion

in th

e ta

ble,

whi

ch o

f the

follo

win

g st

atem

ents

is tr

ue?

A

Ea

ch ti

cket

cos

ts $

2.

B

Ea

ch ti

cket

cos

ts $

6.

C

Th

e m

ore

tick

ets

you

buy

the

less

eac

h ti

cket

cos

ts.

D

Th

e m

ore

tick

ets

you

buy

the

grea

ter e

ach

tick

et c

osts

.

16

Edm

undo

bou

ght 4

trad

ing

card

s ye

ster

day.

He

boug

ht s

ome

16

G

m

ore

trad

ing

card

s to

day.

Now

he

has

12 tr

adin

g ca

rds.

If n

re

pres

ents

the

num

ber o

f tra

ding

car

ds E

dmun

do b

ough

t tod

ay,

whi

ch e

quat

ion

is c

orre

ct?

F

4

1 1

2 5

n

H

n 1

12

5 4

G

4

1 n

5 1

2

J

n

1 4

5 1

6

073_

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Dia

gnos

tic a

nd P

lace

men

t Tes

ts

17

Whi

ch o

f the

follo

win

g ex

pres

sion

s is

equ

ival

ent t

o 7(

x 1

3)?

1

7

B

A

10 1

x

C

7x 1

3

B

7x

1 2

1

D

3x

1 2

1

18

Wha

t is

the

solu

tion

to th

e eq

uati

on 5

1 b

5 1

8?

18

H

F

b

5 5

H

b

5 1

3

G

b

5 8

J

b

5 2

3

19

Mig

uel p

ract

iced

mor

e th

an 5

hou

rs fo

r his

firs

t soc

cer g

ame.

1

9

A

Whi

ch in

equa

lity

repr

esen

ts p

, the

am

ount

of t

ime

M

igue

l pra

ctic

ed?

A

p

. 5

C

p

5 5

B

p

, 5

D

p

$ 5

20

A re

ctan

gula

r pris

m is

sho

wn

belo

w. W

hat i

s th

e vo

lum

e of

2

0

G

the

pris

m?

yd1 2 yd

1 4yd

5 6

F

1 __

2 y

d 3

H

5 _

_

24 y

d 3

G

5 _

_

48 y

d 3

J 7 _

_

12 y

d 3

21

Loo

k at

the

figur

e be

low

.

21

C

8 cm

4 cm

5 cm

3 cm

W

hat i

s th

e ar

ea o

f the

figu

re?

A

12

c m

2

C

38

c m

2

B

32

c m

2

D

42

c m

2

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Page 17: Grade K-Algebra 2 · Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. 3 Fluently divide multi-digit numbers using

Diagnostic and Placement Tests 184

Copyright ©

The M

cGraw

-Hill C

ompanies, Inc. Perm

ission is granted to reproduce for classroom

use.

Program: DPT Component: Test Workbook (AK)PDF Proof

Vendor: Aptara Grade: Grade K–Algebra 2

Answers (Grade 6)

Dia

gnos

tic a

nd P

lace

men

t Tes

ts

84

22

Lan

u dr

aws

a re

ctan

gle

that

is 1

0 in

ches

wid

e an

d 20

inch

es

22

G

lo

ng. W

hich

rect

angl

e de

scri

bed

belo

w h

as th

e sa

me

area

?

F

5 in

ches

wid

e an

d 25

inch

es lo

ng

G

8

inch

es w

ide

and

25 in

ches

long

H

15

inch

es w

ide

and

15 in

ches

long

J

15

inch

es w

ide

and

25 in

ches

long

23

A b

ox h

as a

squ

are

base

wit

h ea

ch s

ide

mea

suri

ng 8

inch

es.

23

C

Th

e he

ight

of t

he b

ox is

4 in

ches

. Wha

t is

the

surf

ace

area

of th

e bo

x in

cub

ic in

ches

?

A

96

squ

are

inch

es

C

256

squa

re in

ches

B

19

2 sq

uare

inch

es

D

612

squa

re in

ches

24

On

the

grap

h be

low

, wha

t is

the

leng

th o

f sid

e AB

? 2

4

F

y

xO

12

34

56

7

4 3 26 57 1

-2

-3

-4

-5

-6

-7

-2

-3

-4

-5

-6

-7

CB A

F

3

unit

s G

4

unit

s

H

5 un

its

J 6

unit

s

25

Mrs

. Bro

wn

has

a flo

wer

gar

den

in th

e sh

ape

of a

par

alle

logr

am.

25

D

Th

e le

ngth

of t

he b

ase

of th

e ga

rden

is 9

.5 fe

et a

nd th

e he

ight

is

4.

2 fe

et. W

hat i

s th

e ar

ea o

f the

flow

er g

arde

n?

A

19

.95

f t 2

B

27.4

f t 2

C

30.7

f t 2

D

39.9

f t 2

26

Mrs

. Esp

eran

za’s

mat

h cl

ass

is p

layi

ng a

gam

e us

ing

two

2

6

Jsp

inne

rs. O

ne s

pinn

er h

as th

e co

lors

red,

blu

e, a

nd g

reen

. Th

e ot

her s

pinn

er h

as th

e nu

mbe

rs 1

, 2, 3

, 4, 5

, 6, 7

, and

8.

How

man

y po

ssib

le o

utco

mes

are

ther

e?

F

11

G

16

H

21

J

24

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5

Dia

gnos

tic a

nd P

lace

men

t Tes

ts

27

Tre

nt h

as a

mat

h qu

iz e

very

Fri

day.

The

tabl

e be

low

2

7

B

show

s hi

s qu

iz s

core

s. W

hat i

s th

e m

ode

of T

rent

’s s

core

s?

Tre

nt’

s M

ath

Qu

iz S

core

s

Qu

iz1

23

45

67

Sco

re97

8878

7782

5788

A

97

B

88

C

82

D

81

28

Kah

lid s

pins

a s

pinn

er 1

0 ti

mes

. The

resu

lts

are

show

n in

the

tally

2

8

Fch

art b

elow

. Whi

ch o

f the

follo

win

g gr

aphs

sho

w th

ese

resu

lts?

Spi

n Re

sults

Whi

te

Red

Blu

e

F

H

Red

White

Blue

Spin

Res

ults

01

23

45

6N

umbe

r of S

pins

Result

G

Red

White

Blue

Spin

Res

ults

01

23

45

6N

umbe

r of S

pins

Result

J

Red

White

Blue

Spin

Res

ults

01

23

45

6N

umbe

r of S

pins

Result

29

Wha

t is

the

med

ian

of th

ese

data

?

29

C

67, 9

8, 7

8, 7

5, 8

3, 4

4, 9

8

A

44

C

78

B

75

D

98

30

The

num

ber o

f poi

nts

Min

g sc

ored

in e

ach

bask

etba

ll

30

F

ga

me

this

sea

son

are

show

n be

low

. Wha

t is

the

mea

n

num

ber o

f poi

nts

she

scor

ed?

3

71

82

49

108

8

F

6

G

8

H

9

J

10

073_

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