Coloured spinner

Coloured spinner

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about the probability of something happening.
Ina and a spinner
 
Ina had a spinner with five different colours on it. Each time she spun the arrow she recorded where it landed.
The table below shows her results.
 
Where the arrow landed Frequency
on the colour black 13
on the colour white 21
on the colour grey 14
on the colour yellow 20
on the colour red 22
on a line 10
 
Use the data in the table above to answer the following questions. 
 
a)
Two possible events are "landing on black" and "landing on white".
List all the other possible events.
 
 
 
 
 
 
 
b)
How many times did Ina spin the arrow? __________
 
c)
Based on Ina's results, what is the probability of the arrow landing on ...
 
  i)
 
ii)		 the colour black? __________
 
a line? __________
Task administration: 
This task is completed with pencil and paper only.
Level:
4
Curriculum info: 
Maths, Statistics, Probability
Keywords: 
probability, combinations
Description of task: 
Based on a results table, students respond to questions about the probability of events occurring when an arrow is spun and lands on different colours.
Curriculum Links: 
This resource can be used to help to identify students' understanding of  listing possible outcomes, and writing likelihoods as fractions, decimals or percentages.
 
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Interpreting statistical and chance situations, sets 4-5
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y8 (11/2002)
a)  

Landing on grey.
Landing on yellow.
Landing on red.
Landing on the line. [Accept if this is missing]

 easy
b)   100 very easy
c)

i)
 
ii)

13/100 or
10/100 or equivalent or

difficult
 
difficult
Diagnostic and formative information: 
   

Common error

Likely reason

c) i)
    ii)

13
10

Writes down the frequency instead of the relative frequency (probability).

 

For more information about probability, go to the ARB Probability concept map.