Sharing out chocolate cake

Sharing out chocolate cake

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about sharing fractions of a cake.

Dianna had a cake of chocolate divided into 16 segments. She shared it with her friends.


John was given \(1 \over 4\), Hana \(1 \over 8\), Ben and Nan \(1 \over 16\) each, and Mary \(2 \over 16\).

  
a)		   
Show how many segments each of Dianna's friends would get by writing their names on the segments below.
  

  
  
    
  
  
  
  
  
    
  
  
  
   
   
    		      
   
   
    		   
  		   
  		   
  

b)		  
What fraction did Dianna have left? __________
Task administration: 
This task is completed with pencil and paper only.
Copyright: 
NZCER
Level:
4
Curriculum info: 
Maths, Number and Algebra, Number Knowledge
Keywords: 
fractions, equivalent fractions, fractions as operators
Description of task: 
Students label given fractions of cake, and identify the remaining fraction.
Curriculum Links: 
This resource can help to identify students' ability to apply simple multiplicative strategies to find fractions of sets, shapes, and quantities.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Multiplicative thinking, sets 6-7
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y8 (09/1996)

a)

John

Hana

Ben

 

John

Hana

Nan

 

John

Mary

 

 

John

Mary

 

 

4-5 correct portions - easy

b)

 3⁄8 (or 6⁄16)
or, the remaining fraction from the answer to a).

moderate