Scholastic test tutor math 3

The main purpose of Test Tutor is to help students learn what they need to know in order to do better on tests.. Along the way, Test Tutor will help students feel more confident as they

GRADE 3

MATH Test Tutor

Standardized

Scholastic Inc grants teachers permission to photocopy the designated reproducible pages from this book for classroom use No other part of this publication may be reproduced in whole or in part, or stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without written permission of the publisher For information regarding permission, write to Scholastic

Inc., 557 Broadway, New York, NY 10012.

Editor: Mela Ottaiano Cover design: Brian LaRossa Interior design: Creative Pages, Inc.

Interior illustrations: Creative Pages, Inc.

ISBN-13: 978-0-545-09605-8 ISBN-10: 0-545-09605-7 Copyright © 2009 by Michael Priestley All rights reserved Published by Scholastic Inc.

Welcome to Test Tutor . 4

Test 1 8

Test 2 24

Test 3 40

Answer Sheet 57

Answer Keys Test 1 59

Test 2 71

Test 3 83

Scoring Charts Student Scoring Chart 94

Classroom Scoring Chart 95

Welcome to Test Tutor!

Students in schools today take a lot of tests, especially in reading and math Some students naturally perform well on tests, and some do not But just about everyone can get better at taking tests by learning more about what’s on the test and how to answer the questions How many students do you know who could benefit from working with a tutor? How many would love to have someone sit beside them and help them work their way through the tests they have to take?

That’s where Test Tutor comes in The main purpose of Test Tutor is to help students learn what they need to know in order to do better on tests Along the way, Test

Tutor will help students feel more confident as they come to understand the content

and learn some of the secrets of success for multiple-choice tests

The Test Tutor series includes books for reading and math in a range of grade levels

Each Test Tutor book in mathematics has three full-length practice tests designed

specifically to resemble the state tests that students take each year The math skills measured on these practice tests have been selected from an analysis of the

skills tested in ten major states, and the questions have been written to match the multiple-choice format used in most states

The most important feature of this book is the friendly Test Tutor He will

help students work through the tests and achieve the kind of success they

are looking for This program is designed so students may work through

the tests independently by reading the Test Tutor’s helpful hints Or you

may work with the student as a tutor yourself, helping him or her understand

each problem and test-taking strategy along the way You can do this most

effectively by following Test Tutor’s guidelines included in the pages of

this book

Three Different Tests

There are three practice tests in this book: Test 1, Test 2, and Test 3 Each test has

42 multiple-choice items with four answer choices (A, B, C, D) All three tests measure the same skills in almost the same order, but they provide different levels

of tutoring help

Test 1 provides step-by-step guidance to help students work through each problem,

as in the sample on the next page The tips in Test 1 are detailed and thorough, and

Sample 1

Last year, 1,250 people lived in Marston, and 970 people

lived in Alburg How many more people lived in Marston

Test 2 provides a test-taking tip for each item, as in the sample

below, but the tips are less detailed than in Test 1 They help guide

the student toward the solution to each problem without giving

away too much Students must take a little more initiative

Sample 2

Max wants to buy a skateboard that costs $62 50 He has

saved $59 00 so far How much more money does he need

to buy the skateboard?

A $3 50

B $4 50

C $17 50

D $121 50

Test 3 does not provide test-taking tips It assesses the progress

students have made After working through Tests 1 and 2 with the

help of the Test Tutor, students should be more than ready to score

well on Test 3 without too much assistance Success on this test will

help students feel confident and ready for taking real tests

To find the difference, subtract the number

of people in Alburg from the number of people

in Marston

Look for key words to help you understand the question In this question, the key words are How much more

Other Helpful Features

In addition to the tests, this book provides some other helpful

features First, on page 57, you will find an answer sheet When

students take the tests, they may mark their answers by filling in

bubbles on the test pages Or, they may mark their answers on

a copy of the answer sheet instead, as they will be required to

do in most standardized tests You may want to have students

mark their answers on the test pages for Test 1 and then use an

answer sheet for Tests 2 and 3 to help the student get used to

filling in bubbles

Second, beginning on page 59, you will find a detailed answer

key for each test The answer key lists the correct response and explains

how to solve the problem It also identifies the skill tested by each question,

as in the sample below

Answer Key for Sample 1

Correct response: B

(Add and subtract whole numbers)

To find the difference in populations, subtract the number of people in Alburg (970) from the number of people in Marston (1,250): 1,250  970  280

Incorrect choices:

A reflects an error in subtracting 1,250  970 (borrowing “2” from “12”

instead of “1”)

C is the result of an error in subtracting 1,250  970 as the student subtracts “5”

from “7” and “9” from “12 ”

D is the result of adding 1,250  970 instead of subtracting

As the sample indicates, question 1 measures the student’s ability to add and subtract whole numbers This information can help you determine which skills the student has mastered and which ones still cause difficulty

Finally, the answer key explains why each incorrect answer choice, or “distractor,”

is incorrect This explanation can help reveal what error students might have made For example, one distractor in an addition problem might be the result of subtracting two numbers instead of adding them together Knowing this could help the student understand that he or she used the wrong operation

At the back of this book, you will find two scoring charts The Student Scoring

Chart can help you keep track of each student’s scores on all three tests and in

different subtests, such as “Number and Number Sense” or “Measurement and

Geometry ” The Classroom Scoring Chart can be used to record the scores for

all students on all three tests, illustrating the progress they have made from

Test 1 to Test 3 Ideally, students should score higher on each test as they go

through them However, keep in mind that students get a lot of tutoring help

on Test 1, some help on Test 2, and no help on

Test 3 So, if a student’s scores on all

three tests are all fairly similar,

that could still be a very positive

sign that the student is better able

to solve problems independently

and will achieve even greater

success on future tests

91

Stand ardiz st Tut ath (G rade 3)

Test 1 Item bers

No C Total t/

Perce )

Num nd Numbe r Sen se 1–9 /9

Oper s 10–18 /9 Meas

ent a eometry 19–30 /12 Statis tics a nd Pr obab ility

31–36 /6 Patte rns, R ns, an

d Alg ebra 37–42 /6

Total

1–42 /42

Test 2 Item bers

No C t/

Total Perce )

Num

nd Numbe r Sen se

1–9 /9 Oper s

10–18 /9

Meas ent a eometry 19–30 /12 Statistics and Pr

obab ility 31–36 /6 Patte rns, R

ns, an d Alg ebra 37–42 /6

Total

1–42 /42

Test 3 Item bers

No C t/

Total Perce )

Num

nd N umber Sense

1–9 /9 Oper s

10–18 /9

Meas ent a eometry 19–30 /12 Statis tics and Probab

ility 31–36 /6 Patte rns, R

ns, an d Alg ebra 37–42 /6

Total

1–42 /42

Standardized T est Tutor: Ma th

Student Name

Grade 3

Stude nt Sc Char t

Test Tutor

says:

Name

Directions: Read each question Look at the Test Tutor’s tip for

answering the question Then find the answer You may do your

work on this page or on scrap paper Mark your answer by filling

in the bubble.

1 Which of these is the same as 2,304?

A two thousand three hundred forty

B two thousand three hundred four

C two hundred thirty-four

D twenty thousand three hundred four

2 What is six thousand eighty-four in standard form?

To write this number in standard form, write each part of the number first Then put the parts together For example, one thousand has 3 zeros, so “six thousand” is 6,000

Look at the first number in each answer choice When ordering numbers from least

to greatest, the smallest number should come first

Count by 2’s aloud, starting with 20, and write the numbers as you count

Test Tutorsays:

To read the number line correctly, count the number

of hash marks between 0 and 1 to figure out what each mark represents

Test Tutorsays:

Name

7 Mike eats 1 3 of a pizza, as shown

In each figure below, the shaded part represents a fraction Which

fraction is equal to the amount of pizza Mike ate?









Each circle represents

a fraction: the number of shaded parts over the total number of parts Find the fraction that means the same as 1 _ 3

Test Tutorsays:

10 A movie theater sold 2,384 adult tickets and 1,557

child tickets How many tickets did the theater sell

11 The town of Smithburg has 1,238 people The town of

Clarksville has 893 people How many more people live

in Smithburg than in Clarksville?

A 335

B 345

C 445

D 1,345

To find the place value

of one digit in a number, write out the number

in expanded form For example, the 6 in this number represents 6,000

Keep in mind that there are four quarters in one dollar, and each quarter is worth

Look at the words how many more They tell you

to find the difference, so subtract the number of people in Clarksville from the number of people

in Smithburg

Test Tutorsays:

Name

12 Niko buys 6 boxes of crackers Each box has 24 crackers How

many crackers does Niko have?

A 30

B 124

C 132

D 144

13 Jonelle ate 1 8 of a pie Her sister ate 2 8 of the pie How much of

the pie did Jonelle and her sister eat?

15 A garden has 61 blue flowers and 118 white flowers

Which is the best estimate of how many flowers are

Remember that a number that is 5 or more is rounded upward and a number less than 5 is rounded downward

To estimate the answer, first round each number to the nearest ten and then add

Test Tutorsays:

Name

16 Chandra writes the equation 17  4  68 What is another way

to write this equation?

A 17  17  17  17  68

B 17  17  17  17  68

C 17  17  4  4 = 68

D 17  4  68

17 Mr Montoya drove 54 miles each day for 5 days On the next

day, he drove 231 miles How many miles did Mr Montoya drive

18 James buys 4 bags of carrots Each bag has 16 carrots He uses 18

carrots to make soup How many carrots does he have left?

First, find out the total number of carrots Then subtract Write a number sentence Then see if your answer is one of the choices

Test Tutorsays:

20 One foot equals 12 inches A rope is 24 inches long How long is

the rope in feet?

To find the number of feet, divide the number of inches the rope measures by 12

Think about which unit

of measurement is used

to measure length

Test Tutorsays:

The field is rectangular, so you know that the opposite sides are equal in length The perimeter is the sum

of all four sides

Find the value of 10 quarters and the value of 2 dimes Then add these numbers

Test Tutorsays:

Look for a line that divides the figure exactly in half

Sketch a picture of

a cube to help you figure out the number of sides

Test Tutorsays:

30 Which two shapes can be used to make the figure below?

A rectangle and right triangle

B rectangle and isosceles triangle

C two pentagons

To find a point on a grid, count the number of units across first and then the number of units up or down

To convert from quarts to cups, you need two steps Remember that one quart equals two pints, and one pint equals two cups

Look at each part of the figure to find the shapes, and cross out any answer choice that cannot be right

Test Tutorsays:

Soccer Tennis Basketball Baseball

How many more students chose soccer than chose baseball?

Which drink at which store has the lowest price?

A Juice at Bob’s Store

B Soda at Trudy’s

C Milk at Quick Stop

D Soda at Bob’s Store

Look at the graph carefully

to see how many students chose each sport The words how many more tell you

to find the difference between them

Find the prices of the drinks

in all four answer choices before you choose

Test Tutorsays:

Yellow       

Green   

Blue     

Vida spins the arrow one more time Based on her data, it is

equally likely that the arrow will land on —

A red or yellow

B blue or yellow

C blue or red

D yellow or green

34 Raja has a bag of 20 candies There are 10 red candies and

10 green candies Raja picks one candy without looking

What is the probability that she picks a red candy?

of times

Note that half of the candies

in the bag are red and half are green

Test Tutorsays:

Name

35 Mrs Goss puts ten identical boxes on her desk Seven boxes are

empty, two have erasers, and one has stickers Peter chooses a

box Which word best describes the chance that he chooses an

36 Dana takes a spelling test each week The table shows her

scores for four weeks

Dana’s Test Scores

A It will be higher than 79

B It will be lower than 79

or staying the same?

Test Tutorsays:

Name

37 Every year, Curtis’s allowance increases by $2.00 Which table

shows this pattern?

D Add all of the numbers together

39 What number makes this number sentence true?

Figure out what you have

to do to the first number

in the pattern to get the second number Then try

it on some of the other numbers in the pattern

to see if it works

Look for the number that will make the two sides of the number sentence equal

Test Tutorsays:

Name

40 Raul has 12 playing cards in his hand After he puts down some

of his cards, he has 8 cards left in his hand If C = the number of

cards Raul put down, which number sentence shows this event?

Write a number sentence

to represent the situation Then look at the answer choices to find your number sentence

Keep in mind that the number of apples and the cost of the apples should increase at the same rate

Test Tutorsays:

Name

42 Jefferson School has 912 students The principal wants to divide

the students into 28 equal groups Which is the best estimate of

how many students will be in each group?

Test Tutor

says:

Date Name

Directions: Read each question Look at the Test Tutor’s tip for

answering the question Then find the answer You may do your

work on this page or on scrap paper Mark your answer by filling

in the correct bubble.

1 Which of these is the same as 4,607?

A four hundred sixty-seven

B four thousand six hundred seventy

C four thousand six hundred seven

D four thousand sixty-seven

2 What is nine thousand fifty-three in standard form?

“From least to greatest” means the smallest number should come first

Count by 5’s to yourself

Test Tutorsays:

Test Tutorsays:

2

— 4

1

— 4

Which set of fractions is in order from least to greatest?

Count the shaded boxes and the total number of boxes Don’t forget to use

a decimal

Test Tutorsays:

Name

10 A factory made 4,858 magnets on Monday and 3,924 magnets

on Tuesday How many magnets did the factory make all

together on those two days?

A 7,772

B 7,782

C 8,782

D 8,882

11 The Gonzalez family drove 451 miles on Saturday and

374 miles on Sunday How much farther did they drive

on Saturday than on Sunday?

A 77 miles

B 87 miles

C 177 miles

D 825 miles

12 Mr Cho has 128 stickers He divides the stickers evenly among

8 students How many stickers does each student get?

A 136

B 120

C 16

D 14

13 Erik has 3 4 cup of water He pours out 1 4 cup of water How much

water does he have left?

Look for the key words how much farther

Remember to look for a key word to help you choose the correct operation to solve this problem

Write a number sentence

to find the difference

Test Tutorsays:

15 A jar has 496 red jellybeans and 348 green jellybeans Which is

the best estimate of the total number of jellybeans in the jar?

17 For a field trip, 200 students were divided equally onto

4 buses Each bus also had 5 adults How many people

were on each bus?

Rounding to the nearest ten makes it easy to estimate the answer

If you’re not sure of the answer, solve each number sentence

Remember to add the number of adults on each bus

Test Tutorsays:

Name

18 Shana buys 3 shirts for $25.00 each She also buys 2 pairs

of pants for $45.00 each How much money does she

20 One meter equals 100 centimeters A tree by Sal’s house is

4 meters tall How tall is the tree in centimeters?

A 4 centimeters

B 40 centimeters

C 400 centimeters

D 4,000 centimeters

Write a number sentence

to solve this problem

Start by subtracting in hours, and then figure out how many minutes are left

Choose the answer with the correct number of zeros

Test Tutorsays:

Name

21 A farmer wants to measure the weight of a pig Which is the best

unit of measurement for her to use?

Count the hash marks

to read the number on the thermometer

Test Tutorsays:

Name

23 Pat’s yard is shaped like a rectangle It is 10 meters wide and

20 meters long What is the area of Pat’s yard?

24 Four friends have some coins

Name Bert Mia Tran Shauna

Coins 6 nickels 2 dimes 1 quarter 10 pennies

Who has the most money?

A Bert

B Mia

C Tran

D Shauna

25 A shape has four sides Two sides are 5 centimeters long and

two sides are 3 centimeters long What could the shape be?

Make a sketch of the figure to help identify it

Test Tutorsays:

Name

26 Look at this picture of a house

Which parts of the house are congruent shapes?

A the door and the chimney

B the two windows

C the door and the windows

D the chimney and the windows

27 Jerry drew a shape like the one below

What is this shape?

Cross out any answer choices you know are wrong

Test Tutorsays:

29 A bucket weighs 1 pound Metal balls weigh 2 pounds each

The bucket is filled with 8 metal balls What is the weight of

the bucket with the metal balls inside?

Write a number sentence

to solve this problem

Test Tutorsays:

31 Kara went apple picking The graph shows how many apples of

each kind she picked

Cortland Red Delicious Macintosh Empire

Don’t forget to use the key

to read the graph

Test Tutorsays:

Name

32 Four teams are playing a trivia game The tally chart shows how

many points each team got in two rounds of the game

Trivia Game Score Team Round A Points Round B Points

1           

2          

3           

4            After the two rounds, which team had the largest total score?

A Team 1

B Team 2

C Team 3

D Team 4

33 Mr Brown has recorded the weather on his birthday for 70

years It has been sunny 58 times and cloudy 12 times Which is

the best prediction Mr Brown can make about the weather on

his birthday next year?

A It is more likely to be sunny than cloudy

B It is less likely to be sunny than cloudy

C It is equally likely to be sunny or cloudy

D It is certain to be sunny

34 A bag contains 34 marbles There are 9 red, 12 yellow, 8 green,

and 5 blue marbles Naja closes her eyes and picks one marble

What color is she most likely to pick?

Read each prediction carefully before you choose one

Compare the number

of marbles of each color

Test Tutorsays:

Name

35 There are 9 gumballs in a gumball machine There are 5 blue

gumballs and 4 red gumballs What is the probability that a red

gumball will come out of the machine next?

A 1 out of 9

B 4 out of 5

C 4 out of 9

D 5 out of 9

36 Emilio keeps track of how much time he spends reading and

watching television after school

Hours Spent on After-School Activities Monday Tuesday Wednesday Thursday Friday

Watching

Which statement about these data is true?

A Emilio spent more time reading than watching television

B Emilio spent more time watching television than reading

C Emilio watched more television at the end of the week

than at the beginning

D Emilio read more at the beginning of the week than

at the end

There are 9 gumballs

in all How many are red?

Read each statement carefully and compare it

to the numbers in the table

Test Tutorsays:

What pattern is shown in the graph?

A The population doubles each year

B The population triples each year

C The population grows by 300 each year

D The population grows by 100 every 3 years

38 Look at the pattern below

What shape comes next in the pattern?

Figure out the pattern before you look at the answer choices

Test Tutorsays:

Key:

 the number of crackers in each box

Think about which operation represents repeating a number of items

Test Tutorsays:

Name

41 Every week, Jorge’s bean plant grows 3 inches Which table

could show the height of his plant over three weeks?

42 A movie theater has 18 rows of seats Each row has 11 seats

Which is the best estimate of the total number of seats in

Use rounding to find the answer

Date Name

Good Luck!

Directions: Choose the best answer to each question Mark

your answer by filling in the correct bubble.

1 Which of these is the same as 5,098?

A five thousand ninety-eight

B five hundred ninety-eight

C five thousand nine hundred eight

D five thousand nine hundred eighty

2 What is two thousand four hundred seven in standard form?

4 Mina counts the letters on the sign below What number should

she say when she gets to the letter D?

A fifteen

B sixteen

C eighteen

D seventeen