Eureka Math Sample Question

Performance Assessment Task

Cindy’s Cats

Grade 5

Common Core State Standards Math - Content Standards

Number and Operations - Fractions

Use equivalent fractions as a strategy to add and subtract fractions.

5.NF.1

MP.2 Reason abstractly and quantitatively.

Cindy’s Cats

This problem gives you the chance to:

• solve fraction problems in a practical context

Cindy has 3 cats: Sammy, Tommy and Suzi.

1. Cindy feeds them on Cat Crunchies.

Each day Sammy eats

!

1

2

of the box, Tommy eats

!

1

8

of the box and Suzi eats

!

1

4

of

the box.

What fraction of a whole box do the cats eat, in all, each day? ___________

Show how you figured this out.

2. Tommy and Suzi spend much of each day sleeping.

Tommy sleeps for

!

3

5

of the day and Suzi sleeps for

!

7

10

of the day.

Which of the two cats sleeps for longer? _________________

How much longer does it sleep each day? _________________

Show how you figured this out.

Copyright © 2007 by Mathematics Assessment Page 45 Cindy’s Cats Test 5

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3. Cindy’s cats often share a carton of cat milk.

Sammy always drinks

!

1

3

of the carton, Tommy always drinks

!

5

12

of the carton, and

Suzi always drinks

!

1

6

of the carton.

What fraction of the carton of cat milk is left over? _________________

Show how you figured it out.

4. Cindy’s cats love to jump in and out of their cat door.

Yesterday the cat door was used 100 times by her cats.

Sammy used it for

!

1

4

of the times and Tommy used it for

!

3

10

of the times.

How many times did Suzi use the cat door? _________________

Explain how you figured it out.

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8

Copyright © 2007 by Mathematics Assessment Page 46 Cindy’s Cats Test 5

Resource Service. All rights reserved.