Working with ratios

Working with ratios

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about using ratios to work out missing amounts.
 
a)     
 
In a netball tournament the Goal Shoot was successful in 6 out of every 7 attempts. If the Goal Shoot missed 7 attempts, how many goals were scored?
 
__________
 
   
 
b)     
The ratio of Year 9 to Year 10 students at a secondary school is 5 : 4.
 
If the school has 360 students, how many Year 9 students are there? ______
 
   
  
c)     
Perri and Apa had 60 kūmara to plant. Perri planted 36 and Apa planted 24.
 
Write the ratio of the number of kūmara that Perri planted to the number of kūmara Apa planted in its simplest form.
 
______ : _______
 
   
  
d)     
At the fiafia night the children drank 7 glasses of orange for every 5 glasses of raspberry and every 3 glasses of lemon.
 
If 66 glasses of lemon were consumed, how many glasses of orange and raspberry were drunk?
   
   
 
i)     
 
__________ glasses of orange   
 
  ii)      __________ glasses of raspberry   
Task administration: 
This task is completed with pencil and paper only.
Level:
5
Description of task: 
Students use given ratios to work out missing amounts in a variety of contexts and express a ratio in its simplest form.
Learning Progression Frameworks
This resource can provide evidence of learning associated with within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 

 

Y9 (09/1996)

Y10 (10/1998)

a)

 

42

easy

-

b)

 

200

-

moderate

c)

 

3 : 2

-

moderate

d)

i)
ii)

154
110

moderate
(both correct)

-

Diagnostic and formative information: 
 

Common error

Likely reason

c)

36 : 24
9 : 6, 6 : 4

Does not simplify ratio.
Does not simplify to simplest ratio.