Staar m math rehearsal h1 sample by RALLY! Education

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM

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Mirrors the STAAR-M Math Test Builds STAAR-M Math Skills STAAR-M Math Rehearsal Grades 3–8 • • • •

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STAAR-M Mathematics Rehearsal

Level H1

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S The Texas Education IS Agency has neither endorsed nor authorized this practice PERM test booklet. ISBN 978-1-4204-6729-1 R 6729-1 Copyright ©2012 RALLY! EDUCATION. All rights reserved. No part of the material protected by this copyright may be reproduced in any form by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system, without permission in writing from the copyright owner. Printed in the U.S.A. 0312.MAQ RALLY! EDUCATION 22 Railroad Avenue Glen Head, NY 11545 (888) 99-RALLY

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STAAR-M Mathematics Rehearsal

Contents

Level H1

Contents Introduction Grade 8 TEKS

.........................................4 ........................................5

Reference Materials

....................................9

STAAR Modified Mathematics Practice Test . . . . . . . . . . . . . . . . 11

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM

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ÂŠ R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .

STAAR-M Mathematics Rehearsal

Introduction

Level H1

Introduction STAAR Mathematics Test The State of Texas Assessments of Academic Readiness (STAAR) replaced the TAKS beginning with the 2011-2012 school year. The STAAR Mathematics test is similar to the previous TAKS Mathematics test, but is more rigorous. The STAAR Mathematics test continues to be based on the student expectations described in the Texas Essential Knowledge and Skills (TEKS). These student expectations are grouped under the STAAR Reporting Categories.

STAAR–Modified (STAAR–M) Mathematics Test The STAAR–M Mathematics test is an assessment based on modified achievement standards. It assesses the same TEKS curriculum and the same student expectations as the STAAR. However, the test has differences in format such as larger font and fewer items per page. The test also has fewer answer choices, fewer open-ended griddable items, simpler vocabulary, and simpler wording of items.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STAAR–M Questions and Directions

STAAR-M Mathematics Rehearsal includes open-ended griddable and multiple-choice questions. Each multiple-choice question will offer three possible answerSTchoices. ER. A M E N selectY the Students should review the questions and three choices carefully WAY. KLIand C A N L A B IN answer answer they think is best. Then fill in the circle that corresponds toED their OT A N C U S I D O T I penaltyRfor choice on the Student Answer Sheet. There Eis EPRguessing, so even if T D.no H E G B I R O students are not certain of the correct answer, they should always pick one. KT OPY

K IS C R THIS BOO O O B N FO of open-ended griddable questions. MPLEa limited The STAAR-M willSAhave amount E V I G S I T TH grid isISprovided NO A three-column on the Student Answer Sheet for students to N O I S S I record andEbubble in their answers. A practice grid is also included in the test P RM

book. An example of a blank grid is shown below.

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STAAR-M Mathematics Rehearsal

Level H1

TEKS

Grade 8 TEKS Reporting Category 1: Numbers, Operations, and Quantitative Reasoning The student will demonstrate an understanding of numbers, operations, and quantitative reasoning. (8.1)

(8.2)

Number, operation, and quantitative reasoning. The student understands that different forms of numbers are appropriate for different situations. The student is expected to: (A)

compare and order rational numbers in various forms including integers, percents, and positive and negative fractions and decimals; (Readiness Standard)

(B)

select and use appropriate forms of rational numbers to solve real-life problems including those involving proportional relationships; (Supporting Standard)

(C)

approximate (mentally [and with calculators]) the value of irrational numbers as ᎏ); and (Supporting Standard) they arise from problem situations (such as ␲, √2

(D)

express numbers in scientific notation, including negative exponents, in appropriate problem situations. (Supporting Standard)

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Number, operation, and quantitative reasoning. The student selects and uses appropriate operations to solve problems and justify solutions. The student is expected R. to: (A) (B) (C) (D)

ASTE

EM select appropriate operations to solve problems involving rational and AY. LINnumbers W K C Y A N L A B justify the selections; (Supporting Standard) A IN S NOT

UCED

I use appropriate operations to solve problems rational . ITinvolving PRODnumbers in problem D E E R T H E G situations; (Readiness Standard) TO B PYRI BOOK IS CO FOR Nconstant MPLEby a given E A V S I use multiplication factor (including unit rate) to represent and G S I T TH NO proportional relationships S I solve problems involving N SIOsystems. (Supporting Standard) including conversions between S I measurement M R PE

K evaluate a solution for THISand (Supporting Standard) BOOreasonableness;

Reporting Category 2: Patterns, Relationships, and Algebraic Reasoning The student will demonstrate an understanding of patterns, relationships, and algebraic reasoning. (8.3)

Patterns, relationships, and algebraic thinking. The student identifies proportional or non-proportional linear relationships in problem situations and solves problems. The student is expected to:

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STAAR-M Mathematics Rehearsal

(8.4)

(A)

compare and contrast proportional and non-proportional linear relationships; and (Supporting Standard)

(B)

estimate and find solutions to application problems involving percents and other proportional relationships such as similarity and rates. (Readiness Standard)

Patterns, relationships, and algebraic thinking. The student makes connections among various representations of a numerical relationship. The student is expected to: (A)

(8.5)

Level H1

TEKS

generate a different representation of data given another representation of data (such as a table, graph, equation, or verbal description). (Readiness Standard)

Patterns, relationships, and algebraic thinking. The student uses graphs, tables, and algebraic representations to make predictions and solve problems. The student is expected to: (A)

predict, find, and justify solutions to application problems using appropriate tables, graphs, and algebraic equations; and (Readiness Standard)

(B)

find and evaluate an algebraic expression to determine any term in an arithmetic sequence (with a constant rate of change). (Supporting Standard)

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Reporting Category 3: Geometry and Spatial Reasoning

The student will demonstrate an understanding of geometry and spatial reasoning. (8.6)

Geometry and spatial reasoning. The student uses transformational geometry to develop spatial sense. The student is expected to: (A) (B)

(8.7)

generate similar figures using dilations including enlargements and reductions; STER. and A M E (Readiness Standard) WAY. CKLIN

BLA

graph dilations, reflections, and translations onSaNcoordinate plane. OT A UCED I D O T I R . (Supporting Standard) P RE TED

RIGH

IN ANY

O BE

K T geometry to model and describe Geometry and spatial reasoning. COPYThe student OOuses S B I S K I O H the physical world. The is expected O R T to: E Bstudent (A) (B)

AMPL

EN F O

IV drawTH three-dimensional from different perspectives; (Supporting IS S OT Gfigures N S I Standard)ION MISS

PERgeometric concepts and properties to solve problems in fields such as art and use architecture; (Supporting Standard)

(C)

use pictures or models to demonstrate the Pythagorean Theorem; and (Supporting Standard)

(D)

locate and name points on a coordinate plane using ordered pairs of rational numbers. (Supporting Standard)

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ÂŠ R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .

STAAR-M Mathematics Rehearsal

TEKS

Level H1

Reporting Category 4: Measurement The student will demonstrate an understanding of the concepts and uses of measurement. (8.8)

(8.9)

Measurement. The student uses procedures to determine measures of threedimensional figures. The student is expected to: (A)

find lateral and total surface area of prisms, pyramids, and cylinders using [concrete] models and nets (two-dimensional models); (Supporting Standard)

(B)

connect models of prisms, cylinders, pyramids, spheres, and cones to formulas for volume of these objects; and (Supporting Standard)

(C)

estimate measurements and use formulas to solve application problems involving lateral and total surface area and volume. (Readiness Standard)

Measurement. The student uses indirect measurement to solve problems. The student is expected to: (A)

use the Pythagorean Theorem to solve real-life problems; and (Readiness Standard)

(B)

use proportional relationships in similar two-dimensional figures or similar threedimensional figures to find missing measurements. (Supporting Standard)

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

(8.10) Measurement. The student describes how changes in dimensions affect linear, area, and volume measures. The student is expected to: (A)

describe the resulting effects on perimeter and area when dimensions of a shape are changed proportionally; and (Supporting Standard)

(B)

describe the resulting effect on volume when dimensions of a solid are changed STER. . A M E proportionally. (Supporting Standard) AY LIN

BLACK D IN ANY W A T O E IT IS N REPRODUC . D E T Reporting Category 5: YRIGH OOK TO BE P O C Probability and Statistics OK IS HIS B O T B R E O L F EN The student will demonstrate of probability and statistics. AMP an understanding THIS S IS NOT GIV ION (8.11) Probability and The student applies concepts of theoretical and Sstatistics. S I M R PE probability to make predictions. The student is expected to: experimental (A)

find the probabilities of dependent and independent events; and (Readiness Standard)

(B)

use theoretical probabilities and experimental results to make predictions and decisions. (Supporting Standard)

(8.12) Probability and statistics. The student uses statistical procedures to describe data. The student is expected to: (A)

use variability (range, including interquartile ranges (IRQ)) and select the appropriate measure of central tendency to describe a set of data and justify the choice for a particular situation; (Supporting Standard)

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ÂŠ R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .

STAAR-M Mathematics Rehearsal

Level H1

TEKS

(B)

draw conclusions and make predictions by analyzing trends in scatterplots; and (Supporting Standard)

(C)

select and use an appropriate representation for presenting and displaying relationships among collected data, including line plots, line graphs, stem and leaf plots, circle graphs, bar graphs, box and whisker plots, histograms, and Venn diagrams, with and without the use of technology. (Supporting Standard)

(8.13) Probability and statistics. The student evaluates predictions and conclusions based on statistical data. The student is expected to: (A)

evaluate methods of sampling to determine validity of an inference made from a set of data; and (Supporting Standard)

(B)

recognize misuses of graphical or numerical information and evaluate predictions and conclusions based on data analysis. (Readiness Standard)

Underlying Processes and Mathematical Tools These skills will not be listed under a separate reporting category. Instead, they will be incorporated into at least 75% of the test questions in reporting categories 1â&#x20AC;&#x201C;5 and will be identified along with content standards.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

(8.14) Underlying processes and mathematical tools. The student applies Grade 8 mathematics to solve problems connected to everyday experiences, investigations in other disciplines, and activities in and outside of school. The student is expected to: (A) (B) (C)

(D)

identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics;

use a problem-solving model that incorporates understanding the problem, MASTE making E Y. N I L a plan, carrying out the plan, and evaluating the solutionLfor ACKreasonableness; NY WA

TAB

IN A

O select or develop an appropriate problem-solving from UCaEDvariety of different S Nstrategy I D O T I R . P types, including drawing a picture, G looking HTED for TaOpattern, E RE systematic guessing and Bsimpler I R Y P checking, acting it out, making a table, working a problem, or working K O K IS C andTHIS BOO backwards to solveBO aO problem; MPLE

N FOR

VE selectHtools manipulatives, paper/pencil, and technology or IS SAsuch asNOreal T GIobjects, T S I techniques O such N as mental math, estimation, and number sense to solve problems. MISSI

(8.15) Underlying PER processes and mathematical tools. The student communicates about Grade 8 mathematics through informal and mathematical language, representations, and models. The student is expected to: (A)

communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models.

(8.16) Underlying processes and mathematical tools. The student uses logical reasoning to make conjectures and verify conclusions. The student is expected to: (A)

make conjectures from patterns or sets of examples and nonexamples; and

(B)

validate his/her conclusions using mathematical properties and relationships.

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ÂŠ R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .

STAAR-M Mathematics Rehearsal

Level H1

Reference Materials

Customary

Metric 1 kilometer (km) = 1,000 meters (m)

1 yard (yd) = 3 feet (ft)

1 meter (m) = 100 centimeters (cm)

1 foot (ft) = 12 inches (in.)

1 centimeter (cm) = 10 millimeters (mm) 2

VOLUME AND CAPACITY Metric

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

1 gallon (gal) = 4 quarts (qt)

1 liter (L) = 1,000 milliliters (mL) 3

1 quart (qt) = 2 pints (pt) 1 pint (pt) = 2 cups (c)

1 mile (mi) = 1,760 yards (yd)

Customary

Inches

LENGTH

1 cup (c) = 8 fluid ounces (fl oz)

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I Customary Metric T I . GHTED BE RE I R O Y T P K 1 ton (T) = 2,000 pounds (lb) (kg) CO BOO= 1,000 grams (g) S K 1IS kilogram I O H O T B LE 1 pound (lb) = 16 ounces 1 gram N FOR (g) = 1,000 milligrams (mg) MP(oz) E A V S I G S I T TH IS NO N O I S IS TIME PERM WEIGHT AND MASS

5 6

1 year = 12 months 1 year = 52 weeks 1 week = 7 days 1 day = 24 hours

1 hour = 60 minutes 1 minute = 60 seconds

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ÂŠ R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .

STAAR-M Mathematics Rehearsal

Level H1

Reference Materials

Reference Materials 19

CIRCUMFERENCE

Circle

C = 2␲r

C = ␲d

A = ᎏ1 2ᎏbh

Rectangle or parallelogram

A = bh

Trapezoid

A = ᎏ1 2ᎏ(b1 + b2)h

Circle

A = ␲r2

Triangle

AREA

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

SURFACE AREA

Lateral

Total

S= TER+. 2B SPh A M E WAY. KLIN C Y A N L A B OT A Pyramid S = ᎏ1 CESD I=N ᎏ12ᎏPl + B U D 2ᎏPl . IT IS N O REPR TED H E G B I R O COSPY= 2␲rh Cylinder or S = 2␲rh + 2␲r2 OOK T S B I S K I O H PLE BO IVEN FOR T M A S VOLUME THIS NOT G S I N SIO ERMISor cylinder PPrism V = Bh S = Ph

Prism

V = ᎏ1 3ᎏBh

Sphere

4ᎏ␲r3 V = ᎏ3

Pyramid or cone

Centimeters

ADDITIONAL INFORMATION Pi

␲ ≈ 3.14

2ᎏ 2 ␲≈ᎏ 7 a2 + b2 = c2

Pythagorean theorem

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STAAR-M Mathematics Rehearsal

Level H1

STAAR Modified Mathematics E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Practice Test

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM

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STAAR-M Mathematics Rehearsal

Level H1

Practice Test

Look at the table below. It shows the temperature Jordan measured at 7 A.M. on the first three days of February. Date

7 A.M. Temperature

February 1

–7˚F

February 2

–9˚F

February 3

0˚F

On which date was the temperature lowest?

February 1

February 2

February 3

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS A store sellsERmilk. P M • Last week a gallon of milk cost $2.50. • This week a gallon of milk costs $2.80. What is the percent increase from $2.50 to $2.80? A

15%

30%

12%

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STAAR-M Mathematics Rehearsal

Practice Test

Level H1

Marv tosses two coins at once. What is the probability that both coins land heads up? A

ᎏ1 4ᎏ

ᎏ1 2ᎏ

1 ᎏ 1ᎏ 6

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

The dimensions of a rectangle are dilated using a scale factor of 1.2. TER. E MAS WAY. What is the relationship between the new area and the original CKLINarea? Y A B C

A BLA CED IN AN T O N IS original DU Oarea. ITthe R The area of the new rectangle is 2.4 times . P D E E R T YRIGH OOK TO BE P O C The area of the new rectangle S B the original area. OK IS isOR1.2 HItimes O T B E L F P SAM GIVEN is 1.44 times the original area. The area Tof new N rectangle T HISthe O N IS O I S S I PERM

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STAAR-M Mathematics Rehearsal

Level H1

Practice Test

Ms. Nassa wants to tile her kitchen floor. The dimensions of her kitchen floor are shown below in feet (ft). 8 ft

8 ft 10 ft 18 ft 10 ft

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 18 ft

The tiles will cost $6 per square foot. What will be the total cost of the tiles needed to cover the kitchen floor? A B C

$1,944

STER. . A M E $1,464 ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . $984 GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM

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ÂŠ R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .

STAAR-M Mathematics Rehearsal

Practice Test

Level H1

Baxter made a scale drawing of a paddock shaped like a rectangle. • The actual paddock is 240 feet long and 200 feet wide. • The scale drawing is 5 inches wide. What is the length of the scale drawing, in inches? You may practice recording your answer in the grid below.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Record your answer and fill in the bubbles on your answer document. STER. A M Be sure to use the correct place value. E LIN

WAY. K C Y A N L A B OT A ED IN N C U S I D O T TED. I O BE REPR H G I R COPY IS BOOK T S I K O BO R TH E O L F P N M E A THIS S IS NOT GIV SION S I M R PE

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STAAR-M Mathematics Rehearsal

Practice Test

Level H1

Loyda, Jim, and Anita ate lunch. • The total amount of the bill was $45. • Loyda paid ᎏ1ᎏ of the bill. 3 • Jim paid $16.50. • Anita paid 30% of the bill. Who paid the most? A

Loyda

Jim

Anita

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM

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STAAR-M Mathematics Rehearsal

Level H1

Practice Test

Aspar is 25 miles directly north of Beauville. Charlestown is 60 miles directly east of Beauville. The diagram below represents the situation. Aspar

25 miles

Beauville

60 miles

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Charlestown

Pythagorean theorem a2 + b2 = c2

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I 70 miles T I . GHTED BE RE I R O Y T P K O 65 miles K IS C R THIS BOO O O B N FO MPLE E A 75 miles V S I G S I T TH IS NO N O I S IS PERM

What is the distance between Aspar and Charlestown? A B C

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STAAR-M Mathematics Rehearsal

Practice Test

Level H1

Ms. Ventura recorded the sales tax rates of three counties in her state. The rates she recorded are shown below. 1 1 7ᎏ3 8ᎏ%, 7ᎏ4ᎏ%, 7ᎏ2ᎏ% Which list shows the sales tax rates in order from least to greatest? A

7ᎏ1ᎏ%, 7ᎏ3ᎏ%, 7ᎏ1ᎏ% 2 8 4

1 3 7ᎏ1 4ᎏ%, 7ᎏ2ᎏ%, 7ᎏ8ᎏ%

7ᎏ1ᎏ%, 7ᎏ3ᎏ%, 7ᎏ1ᎏ% 4 8 2

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . RE GHTED BEbetween I R O Y T P K The formula below is used to Iconvert temperatures degrees CO OO S B S K I O H RT Fahrenheit (F) and degrees FO(C). PLE BO Celsius N M E A V S I THIS NOT G S I N F = 1.8C + 32 ISSIO PERM Which temperature is equivalent to 59°F? A

138.2°C

27°C

15°C

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STAAR-M Mathematics Rehearsal

Practice Test

Level H1

11 A high-paid athlete earns $25 million each year. Which of the following is the best estimate of how much the athlete makes per day?

1 year = 365 days

$7,000

$70,000

$25,000

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM

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ÂŠ R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .

STAAR-M Mathematics Rehearsal

Level H1

Practice Test

12 The box below is in the shape of a cube.

1.5 ft 1.5 ft 1.5 ft

S = 6s2 Surface area of a cube = 6 路 side 路 side

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Which is closest to the surface area of the box? A

3 square feet

9 square feet

STER. . A M E CKLIN Y WAY A N L A B A N I 14 square feet S NOT PRODUCED I T I . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM

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漏 R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .

STAAR-M Mathematics Rehearsal

Practice Test

Level H1

13 Tina made a gift basket. • It contained 9ᎏ1 2ᎏ ounces of peanuts. • It contained 4ᎏ1 4ᎏ ounces of cashews. • It contained 12ᎏ5 8ᎏ ounces of chocolates. What is the total weight of the contents of the gift basket?

26ᎏ3ᎏ ounces 8

ᎏ ounces 25ᎏ3 4

25ᎏ7ᎏ ounces 16

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH enlarged Mr. Muhlenberg IS NaOphotograph that was 5 inches long and 3 inches high. N O I S IS Which of these PERMcould be the dimensions of the enlarged photograph? A

20 inches long and 15 inches high

10 inches long and 8 inches high

15 inches long and 9 inches high

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STAAR-M Mathematics Rehearsal

Level H1

Practice Test

15 Look at the graph below. It shows the number of cars sold each month at Autoland Motors over a four-month period.

Car Sales at Autoland Motors 100

Number of Cars Sold

90 80 70 60 50 40 30 20 10 0

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Apr

May

Jun

Jul

Month

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED Based on the graph, which statement is true? I T I . GHTED BE RE I R O Y T P K O from May to June. BOmost IS CO THthe A The number of cars sold S K increased I O O B N FOR MPLE E A V S I G S I T B The number O decreased by about 50% from June to July. TH of cars IS Nsold N O I S IS C The number PERM of cars sold increased by about 50% from April to May.

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ÂŠ R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .

STAAR-M Mathematics Rehearsal

Level H1

Practice Test

16 Which equation best represents the data in the table below?

2x – 5y = 35

2x – 5y = –35

2x + 5y = –35

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM

Page 23

STAAR-M Mathematics Rehearsal

Level H1

Practice Test

17 The sculpture below is in the shape of a square pyramid. 9 ft

10 ft

V = ᎏ1 3ᎏBh Volume of a square pyramid = ᎏ1 3ᎏ · side · side · height

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

What is the volume of this sculpture? A B C

300 cubic feet

STER. . A M E 810 cubic feet ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I 900 cubic feet . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM

Page 24

STAAR-M Mathematics Rehearsal

Practice Test

Level H1

18 A 15-foot cable connects the top of a flagpole to the ground. The cable meets the ground 5 feet from the base of the flagpole. The diagram below represents the situation.

Flagpole Cable

15 ft

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Ground

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . TED GHtheorem BE RE Pythagorean I R O Y T P K O K ISaC2 + Rb2TH=IS cB2OO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S ERMIS of the flagpole? What is the Pheight 5 ft

20 feet

ᎏᎏᎏ √200 feet ᎏᎏᎏ √250 feet

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STAAR-M Mathematics Rehearsal

Practice Test

Level H1

19 Arturo is driving on the highway. • He drove 15 miles. • He used ᎏ2 3ᎏ gallon of gasoline. How much gasoline will his car use to drive 90 miles?

8 gallons

6 gallons

4 gallons

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . Look at the sequence below. The first G term sequence is 7. A rule is HTEDof the BE RE I R O Y T P K O sequence. used to give additional terms S Cthe BOO S K Iin I O H O T B N FOR MPLE E A V S I G S I 7, 13, 19, 25, 31, 37, ... T TH NO S I N MISSIO R E P Which of these can be used to find a term in the sequence, where n is the position of the term? A

6n + 1

7n + 1

6n + 7

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STAAR-M Mathematics Rehearsal

Practice Test

Level H1

21 At a baseball league, 72 boys play weekend matches, and 36 boys play tournament matches. There are 24 boys that play both weekend and tournament matches. Which Venn diagram best represents this information?

Weekend

Tournament

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Tournament

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B Weekend AMPLE Tournament N FO E V S I G S I T TH IS NO N O I S IS PERM C

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ÂŠ R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .

STAAR-M Mathematics Rehearsal

Level H1

Practice Test

22 Look at the table of values for x and y below. x

–2

2.5

3.5

Which graph best represents the values in the table? y

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 1

–5 –4 –3 –2 –1 0 –1

STER. . A M E ACKL–4IN IN ANY WAY L B –4 A S NOT PRODU–5CED I T I –5 . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPyLE E A V S I G S I T TH IS NO N O I S IS 5 PERM –2

–2

–3

4 3 2

1 –5 –4 –3 –2 –1 0 –1

–2 –3 –4 –5

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STAAR-M Mathematics Rehearsal

Level H1

Practice Test

23 Look at the table below. It shows sizes and prices of soft drinks at three different pizzerias.

Pizzeria

Angelo’s Boccacini Milano

Price Small 12 oz

Medium 16 oz

Large 24 oz

$1.00 $1.50 $1.20

$1.50 $2.00 $1.60

$2.00 $2.50 $2.40

Which pizzeria offers a proportional relationship between the size and price of its soft drink? A

Angelo’s

Boccacini

Milano

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM

Page 29

STAAR-M Mathematics Rehearsal

Level H1

Practice Test

24 Look at the graph below. It shows the number of members the museum had on the first day of each month from January to June.

Museum Membership 1,000 800 600 400 200 0

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Jan 1

Feb 1

Mar 1

Apr 1

May 1

Jun 1

In which month is it most likely that the number of members first reached 600? A B C

STER. . A M E ACKLIN IN ANY WAY L B A March S NOT PRODUCED I T I . GHTED BE RE I R O April Y T P K O K IS C R THIS BOO O O B June N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM

Page 30

ÂŠ R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .

STAAR-M Mathematics Rehearsal

Level H1

Practice Test

25 Look at triangle ABC on the grid below. y 9

8 7 6

5 4 3 2

1 –9 –8 –7 –6 –5 –4 –3 –2 –1 –1

–2 –3 –4 –5 –6 –7

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 –8 –9

Triangle ABC is reflected across the x-axis. Which ordered pair best represents the location of point B after the reflection? A B C

STER. . A M E ACKLIN IN ANY WAY L B A (4, –4) S NOT PRODUCED I T I . GHTED BE RE I (–4, 4) R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM (–4, –4)

Page 31

STAAR-M Mathematics Rehearsal

Practice Test

Level H1

26 Look at the model of a house shown below. It is made up of a rectangular prism with a triangular prism sitting on top of it.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

What would the model look like when viewed from the left side?

STER. . A M E C ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM

Page 32

ÂŠ R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .

STAAR-M Mathematics Rehearsal

Practice Test

Level H1

27 A plant cell has a diameter of 0.000014 meters. Which expression represents this number in scientific notation? A

0.14 × 10–4

1.4 × 10–4

1.4 × 10–5

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM

Page 33

STAAR-M Mathematics Rehearsal

Practice Test

Level H1

28 The lengths of the legs of the right triangle below are given in inches (in.) The length of the hypotenuse is missing.

36 in.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 48 in.

Pythagorean theorem a2 + b2 = c2

STER. . A M E ACKLIN IN ANY WAY L B What is the perimeter of the triangle? A S NOT PRODUCED I T I . GHTED BE RE I R O A 126 inches Y T P K O K IS C R THIS BOO O O B B 144 inches AMPLE N FO E V S I G S I T TH NO C 180 inches SSION IS I PERM

Page 34

ÂŠ R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .

STAAR-M Mathematics Rehearsal

Practice Test

Level H1

29 Lin is saving money. • Lin has already saved $1,500. • She wants to save a total of $4,500. • She plans to save $200 each month. Which equation can Lin use to determine m, the number of months it will take her to save $4,500? A

200m + 1,500 = 4,500

200m = 4,500

1,500m + 200 = 4,500

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O Ms. Horscht is inspectingE B batteries. O N FO MPL E A V S I G S I T TH NO ISbatteries. • She inspects I150 N O S IS • She finds PERMthat 3 of the 150 batteries are faulty. Based on this information, how many batteries out of 200,000 would be expected to be faulty? A

6,000

400

4,000

Page 35

STAAR-M Mathematics Rehearsal

Practice Test

Level H1

Fitness Test Scores

31 Look at the scatterplot below. It shows how the time some athletes spent in training is related to their fitness test scores.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Time Spent In Training

Which statement is best supported by the information in the scatterplot? A B C

STER. . A M E The training improved the athletes’ fitness test scores.CKLIN Y WAY A N L A B A N I T UCED S NOtest I D The training had no effect on athletes’ fitness scores. O T I R . P GHTED BE RE I R O Y T P K The training reduced the fitness S CO BOO test scores. S K Iathletes’ I O H O T B N FOR MPLE E A V S I G S I T TH IS NO N O I S IS PERM

Page 36

STAAR-M Mathematics Rehearsal

Level H1

Practice Test

32 The circle shown below has a radius of 3 units. y 9 8 7 6 5 4 3 2 1 –9 –8 –7 –6 –5 –4 –3 –2 –1 –1

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 –2 –3 –4 –5 –6 –7 –8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . Which ordered pair best represents theIGcenter RE HTED of Tthe BEcircle? R O Y P K O K IS C R THIS BOO O O B A (2, –1) N FO MPLE E A V S I G S I T TH IS NO B (2, –3) N O I S IS PERM –9

(2, –2)

Page 37

STAAR-M Mathematics Rehearsal

Level H1

Practice Test

33 Look at trapezoids ABCD and PQRS below. The two trapezoids are similar. C

15 cm

D 5 cm

10 cm Q B

12 cm

What is the length of line segment QP? A

4 centimeters

3 centimeters

6 centimeters

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM 34 A bottle contains 4ᎏ1ᎏ fluid ounces of orange flavoring. Vanessa uses ᎏ1 4ᎏ fluid 2 ounce each time she uses it. How many times can Vanessa use the orange flavoring before the bottle is empty? A

9 times

18 times

16 times

Page 38

STAAR-M Mathematics Rehearsal

Level H1

Practice Test

35 The can shown below is shaped like a cylinder. 3 in.

4.5 in.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

S = 2␲rh Lateral surface area of a cylinder = 2 · ␲ · radius · height

What is the lateral surface area of the can? A B C

STER. . A M E ACKLIN IN ANY WAY L B A 84.78 square inches S NOT PRODUCED I T I . 18.84 square inches GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM

42.39 square inches

Page 39

STAAR-M Mathematics Rehearsal

Practice Test

Level H1

36 A drawer contains the following marbles. • 7 spotted marbles • 3 clear marbles Tiana draws a marble at random, replaces it, and draws a second marble. What is the probability that both marbles are clear? A

3 ᎏ 1ᎏ 0

ᎏ3 5ᎏ

9ᎏ ᎏ 100

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM

Page 40

STAAR-M Mathematics Rehearsal

Level H1

Practice Test

37 Which of the following equations best represents the graph below? y 9 8 7 6 5 4 3 2 1 –9 –8 –7 –6 –5 –4 –3 –2 –1 –1

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 –2 –3 –4 –5 –6 –7 –8 –9

A B C

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . y=x–3 GHTED BE RE I R O Y T P K O K IS C R THIS BOO O y = 2x – 6 O B N FO MPLE E A V S I G S I T TH y = 6 – 2x IS NO N O I S IS PERM

Page 41

STAAR-M Mathematics Rehearsal

Level H1

Practice Test

38 Look at the two cubes below. The side length of the large cube is 2 times the side length of the small cube.

How many times greater is the volume of the large cube than the volume of the small cube? A

8 times

2 times

4 times

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM 39 A hummingbird can flap its wings 160 times in 3 seconds. Which equation can be used to find t, the number of times the hummingbird can flap its wings in 10 seconds? A

16ᎏ(3) 0 t=ᎏ 10

16ᎏ(10) 0 t=ᎏ 3

30 t=ᎏ 16ᎏ(10) 0 Page 42

STAAR-M Mathematics Rehearsal

Level H1

Practice Test

40 Hexagon ABCDEF was dilated to form hexagon TUVWXY. A F E

B C D

5 X

What scale factor was used in the dilation? A

0.4

2.5

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM

Page 43

STAAR-M Mathematics Rehearsal

Level H1

Practice Test

41 Look at the graph below. It shows the weights of packages shipped from a post office one day.

Number of Packages

Packages Shipped 90 70 50 30 10

1–4

5–8

9–12

13–16

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Weight (pounds)

Emma concluded from the graph that no packages between 1 and 4 pounds were shipped. Which statement explains why this conclusion could be false? A B C

STER. . A M E ACKLIN IN ANY WAY L B A The bars used in the graph are too wide. S NOT PRODUCED I T I . TED GH0. BE RE I The vertical scale does not start at R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM The vertical scale does not go higher than 90.

Page 44

STAAR-M Mathematics Rehearsal

Practice Test

Level H1

ᎏᎏ 42 Which two numbers is the value of √2 1 between? A

4 and 5

5 and 6

10 and 11

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

43 Alethia and Ersa are sisters.

• Alethia is 8 years old. • Exactly 2 years ago, Alethia was 3 times as old as Ersa.

STER. . A M E ACKLIN IN ANY WAY L B A How old is Ersa now? S NOT PRODUCED I T I . GHTED BE RE I R O Y T P K O A 2 years old K IS C R THIS BOO O O B N FO MPLE E A V S I G S I B 6 years old T TH IS NO N O I S C 4 yearsPold ERMIS

Page 45

STAAR-M Mathematics Rehearsal

Level H1

Practice Test

44 A balloon in the shape of a sphere is filled with air. The balloon has a radius of 3 inches. What is the volume of the air in the balloon to the nearest cubic inch? 3 V = ᎏ4 3ᎏ␲r Volume of a sphere = ᎏ4 3ᎏ · ␲ · radius · radius · radius

38 cubic inches

64 cubic inches

113 cubic inches

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A OT UCED S Ndown. I D O T I R . Chaz places the 5 number tiles shown below face P GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH NO 2 3 4 5 IS 1 N O I S S I PERM Chaz selects two number tiles at random. What is the probability that both number tiles selected have odd numbers on them? A

9 ᎏ 2ᎏ 5

6 ᎏ 2ᎏ 5

3 ᎏ 1ᎏ 0

STOP Page 46

STAAR-M Mathematics Rehearsal

Level H1

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM

Page 47

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. . A M E ACKLIN IN ANY WAY L B A S NOT PRODUCED I T I . GHTED BE RE I R O Y T P K O K IS C R THIS BOO O O B N FO MPLE E A V S I G S I T TH IS NO N O I S IS PERM

ISBN 978-1-4204-6729-1