Totalling percentages

Totalling percentages

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about understanding percentages.
 
 Tavita told his mother: 
"There are 40 kids in my grade at our league club. 25% of them have been to Dreamworld, 40% have been to Waterworld, and 50% have been to Rainbows End, so 115% of my league friends have been to theme parks."
 
a)
Which place did the greatest number of people go to? ____________________
 
b)
How many people have been to Waterworld? __________
 
c) i)
Is Tavita's statement "115% of my league friends have been to theme parks" correct? __________
 
  ii)
Explain your answer for c) i).
 
 
 
 
 
 
 
 
 
 
 
 
Task administration: 
This task is completed with pencil and paper only.
Level:
4
Curriculum info: 
Maths, Number and Algebra, Number Strategies
Key Competencies: 
Using language, symbols, and texts
Keywords: 
percentages, key competencies
Description of task: 
Students decide if a percentage statement is correct and explain their answer.
Curriculum Links: 
This resource can help to identify students' ability to apply additive or multiplicative strategies flexibly to obtain percentages of whole numbers.
Key competencies: 
This resource involves explaining why percentages cannot exceed 100%. This relates to the Key Competency: Using language, symbols and text.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Multiplicative thinking, sets 6-7
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 
Y8 (05/2003)
a)   Rainbows End  very easy
b)   16 people  difficult
c)
i)
ii)
No
Responses should include at least 1 of:
  • Some people have been to several different destinations.
  • You cannot have more than 100%.
[Any other appropriate responses.]
difficult - both correct