Grade 3 Mathematics - coassessments.com · Mathematics Grade 3 Paper Practice Resource for...

Colorado Measures ofAcademic Success

Mathematics

Grade 3

Paper Practice Resource for Students

Paper Practice Resource for Students

The Colorado Measures of Academic Success (CMAS) is Colorado’s standards-based assessment program designed to measure the Colorado AcademicStandards (CAS) in the content areas of science, social studies, English languagearts, and mathematics. The sample items included in this resource providestudents with an opportunity to become familiar with the format of test itemsthat appear in the paper-based test books. The sample items are not intended tobe a complete test, nor are they intended to cover all assessed content or itemtypes.

While the use of the sample items is not required, it is strongly encouraged tohelp ensure students are familiar with the types of items they may encounterwhile taking the paper-based test.

Item Types:

Selected Response Items

Selected response items are multiple choice questions. To respond, the studentindicates their response in an answer grid or by filling in the circle(s) next totheir answer choice.

Constructed Response Items

Constructed response items are questions or prompts that require anindependent, written response. To respond, the student writes his or her answerin the response box in the test book.

A»CD

Correct Mark: Incorrect Marks:

ððððE

Converted Online Technology-Enhanced Item Types

Online technology-enhanced items converted to the paper testing format mayask students to:

• Circle the correct answer

• Complete a table with checkmarks, Xs, or letters from a list of answerchoices

• Fill in the blank

• Draw lines from boxes to correct answers

• Complete a bar graph or histogram

• Interact with a number line

• Graph points and lines on a coordinate grid

• Divide and shade shapes to indicate fractions

Directions for Completing the Answer Grids

1. Work the problem and find an answer.

2. Write your answer in the boxes at the top of the grid.

3. Print only one number or symbol in each box. Do not leave a blank box in themiddle of an answer.

4. Under each box, fill in the circle that matches the number or symbol youwrote above. Make a solid mark that completely fills the circle.

5. Do not fill in a circle under an unused box.

6. See below for examples on how to correctly complete an answer grid.

EXAMPLES

To answer 632 in a question, fill inthe answer grid as shown below.

A brick path has 10 rows of 4 bricks.How many bricks are in the path?

Enter your answer in the box.

0!2345»789

0!2»456789

0!»3456789

0!23456789

0!23456789

0!23456789

6 32

0!23»56789

»!23456789

0!23456789

0!23456789

0!23456789

0!23456789

40

ITEM SET 1

1. Enter your answer in the box. Your answer must be a whole number.

746 397− =

2. Ana starts eating lunch at 12:15 p.m. She finishes eating lunch40 minutes later.

Which clock shows the time that Ana finishes eating lunch?

A B

C D

1234

5678

910

1112

1234

5678

910

1112

1234

5678

910

1112

1234

5678

910

1112

TURN THE PAGE ANDCONTINUE WORKING

3. Part A

Nolan has 16 pennies in one jar and 94 pennies in another jar.

He uses some of the pennies to buy a pencil that costs 25 cents. What isthe total number of pennies Nolan has left after he buys the pencil?Show your work.

Enter your answer and your work in the space provided.

Part B

Nolan saves some more pennies and now has 187 pennies all in one jar.He finds 10 more pennies in his pocket.

What is the total number of pennies Nolan has after he adds the 10 pennies from his pocket to the jar?


0!23456789

0!23456789

0!23456789

0!23456789

0!23456789

0!23456789

Part C

The table shows the number of pennies Nolan saved each week forfour weeks.

What is the total number of pennies Nolan saved during the four weeks?Show your work.

Enter your answer and your work in the space provided.

Pennies Saved Each Week

Week Number of Pennies

Week 1 18

Week 2 40

Week 3 32

Week 4 25

4. Ken draws a rectangle with an area of 35 square inches. The width of therectangle is 5 inches.

What is the length, in inches, of Ken’s rectangle?

Enter your answer in the box. Your answer must be a whole number.

inches

5. Fill in the circle on the number line that shows the location of

.88

0 1

Use the information provided to answer Part A and Part B for question 6.

Cindy is finding the quotient for She says, “The answer is 18 becauseaddition is the opposite of division and ”

6. Part A

Identify the incorrect reasoning in Cindy’s statement.

Enter your explanation in the space provided.

÷27 9.+ =9 18 27.

Part B

Show or explain how Cindy can correct her reasoning.

Find the quotient when 27 is divided by 9.

Enter your answer and your work or explanation in the space provided.

7. Divide the circle into 6 equal parts. Shade of the area of the circle.

Divide the figure into the correct number of equal parts, and then shadethe correct number of parts.

16

Circle

8. A path is built around a pool in the shape of a rectangle. The pool isshaded blue.

The width of the pool is 7 yards. The area of the pool is 70 square yards.

• Find the length, in yards, of the pool.

• Find the perimeter, in yards, of the pool.

Enter your answers in the space provided. Enter only your answers.

Length of the pool: ______ yards

Perimeter of the pool: ______ yards

7 yards

? yards

This is the end of Item Set 1.

9. Kevin makes muffins.

• It takes 8 minutes to mix the batter.

• The muffins bake for 17 minutes.

• The muffins then cool for 5 minutes.

What is the total amount of time, in minutes, Kevin spends mixing,baking, and cooling the muffins?


minutes

ITEM SET 2

1. Place a check mark (✔) to show whether each equation is true or false.Place only one check mark in each column.

False

True

÷ =72 9 8 × =5 8 45 ÷ =36 4 9 ÷ =42 7 6 × =9 6 56

2. Each model equals one whole divided into equal parts. Which models

show shaded?

Select the three correct answers.

14

A

B

C

D

E

F

3. Bryan has 48 cupcakes in 6 boxes. Each box holds an equal number ofcupcakes. Bryan uses this equation to find how many cupcakes are ineach box.

Create a different equation Bryan could use to find the number ofcupcakes in each of the 6 boxes.

Circle the correct answer options to correctly complete the equation.

÷ =48 6 ?

48=

+

−

×

÷

?

6

7

42

48

?

6

7

42

48

4. Part A

What is the amount of honey in the measuring cup rounded to thenearest 100 milliliters (ml)?


1000900800700600500400300200100

ml

Honey

milliliters

5. Which two ways show how to find the value of ?

Select the two correct answers.

×7 40

Part B

Jay needs 740 milliliters (ml) of honey to make banana bread. He has290 ml. How many more milliliters of honey does Jay need?

Draw a line and shade the measuring cup to the correct height to showhow many more milliliters of honey Jay needs.

1000900800700600500400300200100

ml

A

B

C

D

E

×7 4

×4 10

× ×7 4 10

7 groups of 4 ones

7 groups of 4 tens

6. The table shows a number of different-colored counters. Sandy is goingto create a bar graph to represent the data in the table.

Use the table to complete the bar graph.

Complete the bar graph by graphing each bar to the correct height.

4

7

6

9

Blue

Green

Red

Yellow

Color Counters

Colored Counters

10

8

6

4

2

0

Colors

Colored Counters

Num

ber

of C

ount

ers

Blue Green Red Yellow

7. Cade has 4 boxes. He puts 9 model cars in each box.

What is the total number of model cars Cade put in these boxes?


0!23456789

0!23456789

0!23456789

0!23456789

0!23456789

0!23456789


Tori and Leo set up their clubhouse with four tables. These rectanglesrepresent the tabletops.

8. Part A

Identify two tabletops with the same area, in square feet, and explainhow you know that the areas are equal.

Enter your answers and your explanation in the space provided.

2 ft

3 ft 3 ft

4 ft

4 ft

Table A

Table B

Table C Table D

4 ft

3 ft

2 ft

Part B

The grid shows Table C and Table D placed end to end to make a new,larger tabletop.

Tori uses the expression to find the total area of the new,larger tabletop.

Leo uses the expression to find the total area of thenew, larger tabletop.

• Find the total area, in square feet, of the new, larger tabletop.

• Use the grid to explain why both Tori’s expression and Leo’sexpression are correct.

Enter your answer and your explanation in the space provided.

= 1 square foot

C D

× +3 (2 4)

× + ×(3 2) (3 4)


3 80× =

10. Gwen pours about 3 liters of water into a container.

Circle the arrow that shows how much water Gwen poured into thecontainer.

4 liters

3 liters

2 liters

1 liter12

12

12

12


A B

C D

11. Which rectangle has an area of 24 square units?

= 1 square unit

ITEM SET 3

1. Which three comparisons are true?

2. Enter your answers in the boxes. Your answers must be whole numbers.

64÷ 8=

4 8× =

6× 42=

7 5÷ =

A

B

C

D

E

=13

36

=34

68

=48

12

=14

48

=46

23

3. Part A

What is the number with the least value that can be made with thedigits 6, 7, and 5 using all the digits only once?

Part B

Daniel says the number with the greatest value he can make with thedigits 5, 7, and 6 using the digits only once is 657 because the 7 is inthe place with the greatest value.

• Explain why Daniel is not correct.

• What is the number with the greatest value he can make using allthe digits only once?

• Explain how you know this number has the greatest value.

Enter your answer and your explanations in the space provided.

A

B

C

D

576

657

675

567

4. The three shapes below belong to a group. All shapes in the group haveexactly 4 sides and exactly 4 angles.

Which of the following shapes belong in the group?

5.

Select the three fractions that make this comparison true.

< 26

A

A

B

B

C

C

D

D

a triangle

E

a trapezoid

36

a pentagon

a hexagon

28

24

23

16

6. Part A

A jar with 64 fluid ounces of water is used to fill cups. The jar is used to fill 3 cups each with 8 fluid ounces of water and 2 cups each with 9 fluid ounces of water.

• How many total fluid ounces of water are left in the jar after fillingall of the cups? Show your work or explain your answer.

Enter your answer and your work or explanation in the space provided.

Part B

A different jar has 42 fluid ounces of water. All of the water in the jar isused to fill cups.

Write an equation to show how many cups can be filled if each cup isfilled with 7 fluid ounces of water. Use p as the unknown number of cupsin your equation.

Enter your equation in the space provided. Enter only your equation.

7. The shape shown has a perimeter of 34 feet.

What is the length of the side that is missing a number?


8 feet

4 feet

5 feet

10 feet

? feet

feet

8. Which three statements can be represented by the expression ?÷24 4

A

B

C

D

E

Jake makes 24 muffins. He gives away 4 muffins.

Collin has 24 toy trucks. He sorts them into groups of 4 trucks each.

Amira has 24 trading cards. She puts them into piles containing4 cards each.

Rosemary puts 24 stickers in each book. She uses enough stickers tofill 4 books.

Steven fills a new bookshelf with 24 books. He puts the samenumber of books on each of the 4 shelves.


Third-grade students took a total of 1,000 pictures for the yearbook duringthe school year.

• Ted took 72 pictures.

• Mary took 48 pictures.

9. Part A

What is the total number of pictures taken by the rest of the third-grade students during the school year?


0!23456789

0!23456789

0!23456789

0!23456789

0!23456789

0!23456789

10. Draw a line from one of the four answer choices to the box below eachshaded rectangle to show the area of each shaded rectangle.

20 Square Feet 24 Square Feet

27 Square Feet 28 Square Feet

4 feet

6 feet

4 feet

7 feet

3 feet

9 feet

Part B

Ella took 8 more pictures than Ted took. How many more pictures didElla take than Mary?


0!23456789

0!23456789

0!23456789

0!23456789

0!23456789

0!23456789


11. Eric measures 10 oak leaves with a ruler. He records the lengths asshown.

For each oak leaf, draw an X on the line plot to show the length.

Lengths of Oak Leaves (inches)

6 12

6 12

6 6 6

6 5 34

5 12

5 12

5 12

5 6

Lengths of Oak Leaves

Length of Leaf (inches)7


512 + = 568

1119833 ISD319351 2 3 4 5 A B C D E Printed in the USA

Grade 3 Mathematics - coassessments.com · Mathematics Grade 3 Paper Practice Resource for...

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