Scholastic test tutor math 5 pdf

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 4

MATHTest TutorStandardized

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: 978-0-545-09606-5 ISBN-10: 0-545-09606-5 Copyright © 2009 by Michael Priestley All rights reserved Published by Scholastic Inc.

Printed in the U.S.A.

Welcome to Test Tutor 4

Test 1 8

Test 2 27

Test 3 45

Answer Sheet 65

Answer Keys Test 1 67

Test 2 76

Test 3 85

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

45 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 they are written specifically for each math item to help students figure out how to solve the problem

Sample 1

Sage is 5 feet 2 inches tall Her brother Dylan is 4 feet

6 inches tall How much taller is Sage than Dylan?

A 4 inches

B 6 inches

C 8 inches

D 1 foot 4 inches

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

In 2006 the population of Aztec, New Mexico, was 7,056 In

1990 the population was 5,480 How much did the population

of Aztec grow from 1990 to 2006?

A 16

B 1,576

C 1,676

D 12,536

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 how much taller Sage is, you’ve got to find the difference in their heights Subtract Dylan’s height from Sage’s height to find how much taller she is

Look for key words to help you understand the question In this question,

the key words are How

much and grow.

Other Helpful Features

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

features First, on page 65, 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 67, 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 2

Correct response: B

(Add, subtract, multiply, and divide whole numbers)

To find the difference in population, subtract the population in 1990 (5,480) from the population in 2006 (7,056): 7,056  5,480  1,576

Incorrect choices:

A is the result of subtracting the years (2006  1990) instead of the

populations

C is the result of a computation error in subtracting 7,056  5,480 as the

student “borrows” a hundred to subtract in the tens column but forgets

to reflect this in the hundreds column

D is the result of adding 7,056  5,480 instead of subtracting

As the sample answer indicates, this question measures the student’s ability

to add, subtract, multiply, and divide 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

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 In 2006 the population of New York City was about eight

million two hundred fifty thousand What is this number

2 Four friends share a pizza The table below shows what fraction

of the pizza each person ate

Amount of Pizza Eaten

Since all of these fractions have 1 in the numerator (top of fraction), compare the amounts in the denominators (bottom of fraction) Remember: The denominator shows how many equal pieces a whole

is divided into So the smaller the denominator, the bigger the piece

Test Tutor

4 Ms Ritchie buys 6 2 5 pounds of rice What is another way to

write this number?

A 12 5 pounds

B 17 5 pounds

C 30 5 pounds

D 32 5 pounds

5 In March, 628,451 letters were mailed from a post office

Which digit in this number is in the ten thousands place?

A 2

B 5

C 6

D 8

6 There are 81 students in the fourth grade at Franklin School

The principal wants to divide them into equal groups with no

students left over Into how many groups should the students

To change a mixed number

to an improper fraction, remember to multiply the denominator by the whole number and then add that product to the numerator

To find the place value of one digit in a number, write out the number in expanded form This will tell you the place value of each digit For example, 641 would be

600 + 40 + 1; the 4 in this number is in the tens place

The number of groups must be a factor of 81 That means that you can divide

81 by that number, without

a remainder Try dividing 81

by each answer choice

Test Tutor

says:

Name

7 On Monday, a grocery store had 8,120 cans of soup On

Saturday, 6,529 of the cans were left How many cans of

soup were sold during the week?

A 1,591

B 1,691

C 2,501

D 14,649

8 Sandy bought 2 3 4 pounds of green apples and 3 1 2 pounds

of red apples How many pounds of apples did she buy

9 Brody has a set of blocks Each block is 6.4 centimeters tall If he

stacks 8 blocks on top of one another, how tall will the stack of

on Saturday from the total number of cans on Monday

First, find a common denominator for the fractions 3 _ 4 and 1 _ 2 Then add the two mixed numbers to find the total number of pounds of apples

To find the height of the stack, take the height of each block and multiply it

by the number of blocks

Test Tutor

says:

Name

10 When Bonnie woke up at 7:00 a.m., the temperature was 1C

When she got home from school at 3:00 p.m., the temperature

was 4C

20 10 0

10

15 5

11 It takes Latoya 28 minutes to make a holiday card At this rate,

about how long will it take her to make 32 cards?

A 10 hours

B 15 hours

C 30 hours

D 60 hours

12 Felicity has 4 boxes of cookies Each box has 10 cookies

To find the number of cookies she has in total (c), she writes

the number sentence 4  10  c Which number sentence

is equivalent to the one Felicity wrote?

A 4  10  c

B 4  4  4  4  c

Subtract the morning temperature from the afternoon temperature Then you will know the difference in degrees

Remember, 1C is below 0

“About how long” means you can use estimation To estimate the answer, first round each number to the nearest ten This will help you think in terms of hours and half-hours

Remember, multiplication is repeated addition

Test Tutor

says:

Name

13 A pet store has 6 fish tanks with 30 fish in each tank If 1 3 of

the fish are goldfish, how many goldfish does the pet store

14 A bakery sells fruit bars for $1.25 each and muffins

for $1.40 each How much would 10 fruit bars and

Find the total number

of fish by multiplying first Then find one-third of that number by dividing the number by 3

Write two number sentences

to solve this problem You will multiply the cost of each item by the number

of items Then find the sum

Think about what number can you subtract from 15 and have 5 left over If necessary, replace the x with each answer choice to see if the number sentence makes sense

Test Tutor

17 Ray’s house is 2,564 meters from Charlene’s house How many

kilometers apart are their houses?

A 0.2564 kilometers

B 2.564 kilometers

C 25.64 kilometers

D 256.4 kilometers

18 Georgia wants to find the weight of her 3-year-old dog What

is the best unit of measurement for her to use?

Keep in mind that one kilometer equals 1,000 meters

Remember that some dogs can weigh as much

as children What unit of measurement do you use

to weigh yourself?

Test Tutor

says:

Name

19 Lucinda finds a leaf from the tree outside her house She

measures the leaf with a centimeter ruler, as shown below

Mrs Jimenez wants to put a fence around the perimeter of her

garden How long will the fence be?

A 26 feet

B 36 feet

C 52 feet

D 160 feet

21 Winnie wants to buy a rectangular piece of fabric that is 6 feet

wide and 8 feet long What is the area of the fabric?

The garden is shaped like

a rectangle, so the opposite sides are equal in length The perimeter is the sum

of all four sides

To find the area of a rectangle, multiply the length by the width

Test Tutor

says:

Name

22 A window is divided into many panes of glass, as shown below

What shape are the small panes of glass in the window?

Note that the window

is divided into nine rectangles, and each rectangle is divided into two right triangles

Look for the name of a figure with only two sides that are parallel

Test Tutor

Which figure is similar to the triangle shown above?

A 2 4

B

4 6

C 2 8

8

25 Byron receives a package that is shaped like a rectangular

prism How many faces does the package have?

Draw a picture of a rectangular box and count the number of faces

Test Tutor

27 Sheri draws a picture of a house on a grid The peak of the

roof is located at (7, 8) Which figure could be the one that

y

To find a location on a grid, count the number of units across and then the number

of units up or down

Look at the ordered pair Use the first number to count across the grid and the second number to count

up or down

Test Tutor

Which two streets on the map appear to be parallel?

A Green Street and West Street

B Pine Street and Apple Street

C Pine Street and West Street

D Green Street and Apple Street

29 The figure shows a pair of glasses from the front

How many lines of symmetry does the figure have from

Use your pencil to draw

a line down the middle

of this figure and a line across the middle of this figure If the figure has the same shape on both sides

of the line, then it has a line

of symmetry

Test Tutor

says:

Name

30 Imran finds an old trunk in the attic The figure below shows

the size of the trunk

31 Andrea left for school at 7:44 a.m She arrived at 8:02 a.m

How long did it take her to get to school?

Test Tutor

Test Tutor

says:

Name

33 Which figure could be folded to form a rectangular prism like

the one shown below?









34 At the movie theater, Mr Oscar made a graph to show how

many tubs of popcorn he sold each day Look at the graph

Note the key under the graph Each symbol on

Test Tutor

Chickadees

Blue jays

Based on the graph, which statement is true?

A Angelo saw more blue jays than cardinals and chickadees

combined

B More chickadees visited Angelo’s birdfeeder than sparrows

C Angelo saw more sparrows than all the other kinds of birds

combined

D About the same number of chickadees and blue jays visited

Angelo’s birdfeeder

36 Justine tosses a coin three times Each time, the coin lands on

heads (H) or tails (T) The tree diagram shows the possible

outcomes of Justine’s coin tosses

H T H

T

T T H

on the graph

Remember that each possible outcome

is represented by one path from the top of the tree to the bottom

Test Tutor

says:

Name

37 Danny has 3 yellow socks, 9 green socks, 6 blue socks,

and 5 white socks in a drawer If he reaches into the drawer

without looking and takes out one sock, what color is he most

38 Five friends have a contest to see how long they can swim

underwater Their results are shown in the table below

Name Time (seconds)

of socks?

Don’t forget that the mean

is the average Find the sum

of all the times and divide

by the number of times

Test Tutor

says:

Name

39 The chart below shows the prices of fruits and vegetables at

the Rainbow Market

Rainbow Market Prices

Fruit/Vegetable Price (per pound)

40 Mimi finds that 45% of her classmates have black hair, 35%

have brown hair, 15% have blonde hair, and 5% have red hair

Which circle graph best shows Mimi’s data?

Blonde Red

Black Blonde

Brown

Red

Black Brown

Blonde Red

Black Brown

Blonde Red

Hair Colors Hair Colors

Hair Colors Hair Colors

Note that the range is the difference between the highest and the lowest numbers on the chart Subtract

First, find the graph that shows 45 percent

“black.” Then check the other numbers to find the correct graph

Test Tutor

says:

Name

41 The picture shows a pattern of shapes

If the pattern continues, what will be the next figure?

43 Miwa wants to buy at least 100 baseball cards A store sells

baseball cards in packs of 8 Which inequality shows the

number of packs of baseball cards (p) she must buy to have

Look at each answer choice

to find the number sentence that means the same

Write a number sentence

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

Test Tutor

says:

Name

44 Darrell is doing a walk for charity For every mile he walks,

his parents will donate $5 to the charity Which table shows

the relationship between the number of miles Darrell walks

and the amount of money his parents donate?

45 There are 119 rows of seats at a baseball field Each row has 9,

10, or 11 seats Which is the most reasonable estimate of the

total number of seats at the field?

2 miles? For 3 miles?

To find an estimate, remember to round each number to the nearest ten and then multiply

STOP

End of Test 1

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 correct bubble.

1 The distance between the earth and the moon is three

hundred eighty-four thousand four hundred kilometers

What is this number in standard form?

Test Tutor

says:

Name

3 Students in Mr Osborne’s class are measuring bean plants

Each group reports the height of its plant in a different way,

as shown in the table

Group Height of bean plant (inches)

5 In 2007 the population of Laos was 6,521,998 What digit in this

number is in the hundred thousands place?

Test Tutor

says:

Name

6 A store sells juice boxes in packages of 8 Mr Chowdhury

bought a number of packages of juice boxes Which could

be the total number of juice boxes he bought?

A 56

B 68

C 76

D 92

7 Movie tickets at the theater cost $9 each Total ticket sales for

one movie at the theater were $3,276 How many tickets did the

theater sell for the movie?

A 338

B 364

C 3,285

D 29,484

8 Kevin ate 2 5 of a pie Su Yang ate 10 3 of the pie How much of

the pie did Kevin and Su Yang eat together?

A 15 5

B 3 5

C 50 6

D 10 7

9 Kerby’s backpack weighs 3.56 kilograms Bart’s backpack weighs

2.6 kilograms How much heavier is Kerby’s backpack than

Consider what kind of number sentence you can write to find the difference

Test Tutor

says:

Name

10 The temperature in Alvin’s freezer is 2C The temperature in

his refrigerator is 3C How much warmer is the temperature in

the refrigerator than in the freezer?

A 1C

B 3C

C 5C

D 6C

11 Toni buys an apple for $0.98, a granola bar for $1.39, and a drink

for $1.52 About how much money does she spend?

A $3.00

B $3.50

C $3.70

D $3.90

12 Sharon has 50 posters to put up for a concert She puts up 23 in

her school She writes a number sentence to show how many

posters (p) she has left: 50  23  p.

Which number sentence is equal to the one Sharon wrote?

A 50  23  p

B p  23  50

C p  23  50

D 23  p  50

13 Lana buys 4 shirts for $24.80 each She has a coupon for $5.95

off her total purchase What is the total amount Lana spends

after using her coupon?

Round each item’s price before you find the answer

Solve the number sentence

to find the value of p Then

check to see which answer option makes sense

Remember to subtract the value of the coupon

Test Tutor

says:

Name

14 Little Horse Elementary School has a field day at the end of

the year All 288 students are divided evenly into 12 teams

On each team, 2 3 of the students will play in the kickball

tournament How many students on each team will play

in the kickball tournament?

Write down the times on the clocks to help you find the answer

Test Tutor

Test Tutor

says:

Name

20 Silas wants to cover one rectangular wall of his room with

wallpaper The wall is 8 feet tall and 13 feet long What is the

area of the wall?

A 21 square feet

B 42 square feet

C 52 square feet

D 104 square feet

21 A rectangular playing field is 73 meters long and 59 meters wide

Travis ran around the perimeter of the field once Which is the

best estimate of how far Travis ran?

Which angle in the figure is obtuse?

Remember that an obtuse angle is greater than 90 degrees

Test Tutor

Congruent figures are the same size and the same shape

C

D B

8 3

4 6

8

Test Tutor

Test Tutor

Test Tutor

Which picture shows the figure translated 2 units to the right

and 1 unit down?

y

Choose one corner of the figure to use in counting units to the right and down

Test Tutor

says:

Name

31 Judith needs to mow her lawn, which is shown as the gray area

of the figure below The dimensions of her whole property are

10 meters by 14 meters Her house measures 8 meters by 8 meters

32 Mrs Van is making jam The jam needs to cook at a temperature

of 218F Right now the temperature of the jam is 199.3F How

much higher does the temperature have to rise?

Choose the correct operation to find the difference

Test Tutor

says:

Name

33

Which figure could be folded to form a triangular pyramid like the

one shown above?

34 The chart shows ticket prices for the aquarium A visitor may

choose to purchase any combination of tickets

Aquarium Ticket Prices

Main Aquarium Sea Otter Exhibit Dolphin Show

Which statement about the ticket prices is true?

A It costs more for a senior to visit the dolphin show than

for a child to visit the main aquarium

B A child can visit the main aquarium, sea otter exhibit,

and dolphin show for the same price as an adult ticket

to the main aquarium

C It costs more for a senior to visit the main aquarium than

for an adult to visit the sea otter exhibit and the dolphin show

D

Picture in your mind what the figure would look like with each side folded down flat

Read each statement carefully and use the numbers from the chart

to see if it is true

Test Tutor

says:

Name

35 Betsy is taking a gymnastics class Each month, the students in

the class see how long they can hold a handstand Betsy keeps

track of her handstand times in a line graph

Betsy’s Handstand Times

Which statement about the line graph is true?

A Betsy’s times increased steadily over the six months

B Betsy’s time increased the most between May and June

C Betsy’s time was greatest in August

D Betsy’s times were the same in June and September

36 Nina made a spinner for a game

L

Which list shows all of the possible outcomes of spinning

the spinner twice?

Make a list to show the possible outcomes for one turn Then compare it to the answer choices