Grade 4 math illinois 07

2007 ISAT Grade 4 Sample BookMathematics Short-Response Sample Item 1 Below is a short-response sample item, followed by 3 samples of student responses.. This short-response sample item

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3

George collected 489 rocks for

his science project Matthew

collected 100 fewer than

George How many rocks did

Matthew collect?

What is the value of the

6 in 5,360?

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The average length of a song on

a CD is 3 minutes

Which is closest to the number

of songs that can be played in

16 minutes?

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Which expression is equal to

7⫻ 8?

The 4th-grade class has 32 students There are 13 girls in the class

What fractional part of the class

is boys?

32 13

32 19

13 32

19 32

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Which number sentence is true?

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Mathematics

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Raj earns 5 points for each question

he answers correctly

Let p represent the number of

questions Raj answers correctly

Which expression could be used to find the total number

of points Raj earns?

≥A p ⫻ 5

B p ⫹ 5

C p ⫼ 5

D p ⫺ 5

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7

Use your inch ruler to help you

answer this question

Which is closest to the length

in inches of line segment MN?

B in.

≥D 2 1 in.

2

1 1

2

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Ben is 1 years old

How many months are equal

to 1 years?

1 2

1 2

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What is the volume of

this shape?

Represents 1 cubic unit

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Tom has been saving his money for

three weeks The chart below shows

his total savings each week

If Tom continues to add the

same amount to his savings

each week, what should be the

total amount saved by week 4?

Week Total AmountSaved

Tom‘s Savings

1 2 3 4

$2.25

$4.50

$6.75

What is the value of M in the

number sentence?

M ⫼ 2 ⫽ 20

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Exactly how many faces does a rectangular prism have?

If b equals 5, which equation

is true?

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Mathematics

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15

Which shape has exactly 1 line

of symmetry?

A

B

C

≥D

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If the regular hexagon below were cut on the dashed line segment, what would be the shape of each piece?

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The graph below shows the results of a survey to find the number of students who ride their bicycles to school

Whose class has the most students ride their bicycles to school?

Beth’s class Miguel’s class Ali’s class Kamilla’s class

Each represents one student

Students Riding Bicycles to School

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Mathematics

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The tally chart shows how

John’s class voted on the

games they should play at the

class outing Which two games

received the most votes?

Games Tally Marks

Soccer

Kickball

Relay Races

Freeze Tag

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Tim’s mother put these cookies on

a plate

Which kind of cookie would Tim most likely get if he takes one without looking?

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Sally put the shapes shown below in a box She tipped the box and one shape fell out

What is the probability that the shape that fell out was a ball?

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2007 ISAT Grade 4 Sample Book

Mathematics Short-Response Sample Item 1

Below is a short-response sample item, followed by 3 samples of student responses.

This short-response sample item is classified to assessment objective 6.4.09, “Solve problems involving

descriptions of numbers, including characteristics and relationships (e.g., odd/even, factors/multiples, greater than, less than).”

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Two whole numbers, each greater than 2, are multiplied together The product is 126

What could be the 2 numbers?

Below is a short-response sample item, followed by 3 samples of student responses.

This short-response sample item is classified to assessment objective 10.4.01, “Read and interpret data

represented in a pictograph, bar graph, line (dot) plot, Venn diagram (with two circles), tally chart, table, line graph, or circle graph.”

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2

Using the graph below, how many more students play football than basketball?

Show your work

Sports Students Play

Soccer Basketball Football Volleyball

Each ⴝ 4 students

2007 ISAT Grade 4 Sample Book

Mathematics Short-Response Sample Item 3

Below is a short-response sample item, followed by 3 samples of student responses.

This short-response sample item is classified to assessment objective 8.4.01, “Determine a missing

term in a pattern (sequence), describe a pattern (sequence), and extend a pattern (sequence) when given a description or pattern (sequence).”

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Explain a rule that could be used to make the pattern below

0, 6, 4, 10, 8, 14, 12, 18,

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Marco is shopping for school supplies He needs to buy the items listed below

1 notebook 1 pencil 1 pair of scissors

1 pen 1 ruler 1 calculator Below are prices for school supplies from two different stores

1 Marco can go to just one store Which store should he choose if he wants to spend

the least amount of money?

2 Marco buys all the items he needs from the store you chose in part 1 How much money does Marco spend on his school supplies?

Show all your work Explain in words how you found your answer Tell why you took the steps you did to solve the problem

ON

%

Rate Set

C AC

MRC 7 1

M ⫺

8 2

M ⫺

9 3

⫼

⫺

⫹

Bargains Galore

Super School Savings!

$1.29 $4.99

SCISSORS

29c

15c

69c

PENS CALCULATORS

RULERS49c

SAVE LOTS

BACK TO SCHOOL SPECIALS!

RULERS 79c

19c PENCILS

ON

%

Rate Set

MRC 7 4

M ⫺

8 5

M ⫺

9 6

⫼

⫻

CALCULATORS

$4.50

SCISSORS

$1.09

NOTEBOOKS

69c

PENS 24c

Below is an extended-response sample item, followed by 3 student samples

This extended-response sample item is classified to assessment objective 6.4.11, “Solve problems

involving the value of a collection of bills and coins whose total value is $100.00 or less, and make change.”

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2007 ISAT Grade 4 Sample Book

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2

The zookeeper wants to build a new area for a petting zoo using the following rules:

• The petting zoo must be in the shape of a polygon with an even number of sides.

• The perimeter of the petting zoo should be 100 feet

Draw a picture of a petting zoo that the zookeeper could build using the above rules

Label the length of each side of your petting zoo

Show all your work Explain in words how you found your answer Tell why you took the steps you did to solve the problem

Mathematics Extended-Response Sample Item 2

Below is an extended-response sample item, followed by 3 student samples

This extended-response sample item is classified to assessment objective 7.4.03, “Solve problems

involving the perimeter of a polygon with given side lengths and the area of a square, rectangle, or irregular shape composed of rectangles using diagrams, models, and grids or by measuring (may include sketching a figure from its description).”