White and brown eggs

White and brown eggs

Pencil and paperOnline interactive
Overview
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Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about working out ratios of eggs.

Question 1Change answer

A dozen and a dozen and a half eggs
 
a) What is the ratio of white to brown eggs in the 1 dozen carton?  : 
 
b) What is the ratio of white to brown eggs in the 1.5 dozen carton?  : 
 
c) What is the ratio of white to brown eggs in both cartons?  : 
Task administration: 
This task can be completed with pencil and paper or online.
Level:
5
Curriculum info: 
Maths, Number and Algebra, Number Strategies
Keywords: 
ratios
Description of task: 
Students give the fraction or ratio of brown to white eggs in some cartons.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Multiplicative thinking, sets 8-9
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 

 

Y9 (05/97)

Y10 (05/97)

a)

2 : 1 or 8 : 4

moderate

moderate

b)

5 : 4 or 10 : 8

difficult

moderate

c)

3 : 2 or 18 : 12

difficult

moderate
Diagnostic and formative information: 
 

Student response

Likely misconception

a)
b)
c)

4 : 8
8 : 10
12 : 18

  
Ratio reversed.

a)
b)
c)

8 : 12
10 : 18
18 : 30

   
Ratio of white : total.

a)
b)
c)

4 : 12
8 : 18
12 : 30

  
Ratio of brown : total.