Finding percentages

Finding percentages

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about finding percentages of numbers.
 
a)
The Harding whānau went on a journey of 150 km.
What percentage of the trip have they gone after?
 
 
i) 30 km? _________%
 
ii) 105 km? ________%
 
iii) 125 km? _________%
 
b)
Show how you would work out the distances below as a percentage of the whole 150 km trip if your calculator did not have a percent (%) key.
 
  i) 120 km of 150 km
 
 
 
 
 
 
Answer: ___________%
 
  ii) 20 km of 150 km
 
 
 
 
 
Answer: ___________%
Task administration: 
This task is completed with pencil and paper only.
Levels:
4, 5
Curriculum info: 
Maths, Number and Algebra, Number Knowledge
Keywords: 
percentages
Description of task: 
Students express fractions, related distances covered, as percentages.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Multiplicative thinking, sets 6-7
Multiplicative thinking, sets 8-9
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 

 

Y8 (05/2003)

a)

i)
ii)
iii)

20%
70%
83.3%
NOTE: Accept 83 to 83.5%.

difficult
difficult
very difficult

b)

i)

 

 

 

 

ii)

Any 1 of:

  • 120/150 × 100/1 = 80%
  • 120/150 = 4/5 * 1/5 = 20%, so 4/5 = 80%
  • 120 km + 30 = 150, 30 km is 20%, (100 - 20)%, i.e., 80%
  • Any other acceptable method.
  • 20/150 × 100/1 = 13.3%
  • Any other acceptable method.

NOTE: Do not accept answer only.

very difficult

 

 

 

 

very difficult