Holiday work

Holiday work

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about ratios.
Joshua and Tamara both worked during their holidays.
Joshua earned less per hour than Tamara.
 
The ratio of Joshua's hourly earnings to Tamara's hourly earnings is 5 : 6.
 
a)
If Joshua earned $45, how much would Tamara earn in the same length of time?
 
$ __________
 
b)
If Tamara earned $90, how much would Joshua earn in the same length of time?
 
$ __________
 
c)
If Joshua and Tamara's combined earnings were $330 after they both worked for the same length of time, how much did Joshua earn?
 
$ __________
Task administration: 
This task is completed with pencil and paper only.
Level:
5
Curriculum info: 
Maths, Number and Algebra, Number Strategies
Keywords: 
ratios, equivalent ratios
Description of task: 
Students solve number problems involving ratios of hourly rates of pay.
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: 

 

Y10 (11/2000)
a) 54 moderate
b) 75 moderate
c) 150 moderate
Diagnostic and formative information: 
 

Common error

Likely calculation

Likely reason
a) 24.55  6/11 × 45 Splits $45 in the ratio 5 : 6
b) 40.90 5/11 × 90 Splits $90 in the ratio 5 : 6