Car parking building

Car parking building

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources

 

A central Christchurch parking building has 150 car parks available.
 
a)   How many car parks were used if the building was 72% full? __________


b)   The building has a sign at the entrance that shows what percentage of the car park is full.
      What would the sign show if there were
 
      i)   50 cars in the building? __________ %
 
      ii)  138 cars in the building? __________ %
Task administration: 
This task is completed with pencil and paper only.
Level:
5
Curriculum info: 
Maths, Number and Algebra, Number Strategies
Keywords: 
percentages
Description of task: 
Students calculate percentages of whole numbers and convert fractions to percentages.
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 (09/1999)
a) 108 moderate
b) i)
ii)		 33.3 [Accept 33-33.4]
92		 moderate
moderate
Diagnostic and formative information: 
  Common error Likely calculation Likely reason
a) 78 150 - 72 Subtracts percentage from number.
b) i)
    ii)		 100
12		 150 - 50
150 - 138		 Subtracts number rather than calculating a percentage.