Farm fractions II

Farm fractions II

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about adding or subtracting fractions.
a) On Harry's farm there are four kinds of animals:  
   •    one-fifth are horses,
  •    one-tenth are cows,
  •    one-half are sheep, and
  •    the rest are pigs.
  
  		   
What fraction of the animals are ...
  
   i)   
  		 either horses or sheep? ____________________
  
  ii)    pigs? ____________________

b)		   
On Barry's poultry farm there are four kinds of birds:		  
  •    one-third are hens,
  •    one-quarter are ducks,
  •    one-sixth are geese, and
  •    the rest are turkeys.
     
What fraction of the birds are
    
i)		   
either ducks or geese? ____________________
  
  ii) turkeys? ____________________
  
  iii)

What is the difference between the fraction of ducks and the fraction of hens?

 

____________________

  
Task administration: 
This task is completed with pencil and paper only.
Level:
5
Curriculum info: 
Maths, Number and Algebra, Number Strategies
Keywords: 
fractions, addition, subtraction
Description of task: 
Students solve addition and subtraction problems involving fractions with different denominators.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Additive thinking
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y10 (09/99)
a)

 

 i)

ii)
or		 moderate

moderate
b)

 

 i)

ii)

iii)

 or
or
[accept ]		 difficult

moderate

difficult

NOTE: Accept any other equivalent fractions.