Colour a spinner

Colour a spinner

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

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a) Colour the spinner so it would be:

  • most likely to stop on blue;
  • least likely to stop on yellow; and
  • have the same chance of stopping on red or green.
 
b) 
What is the chance of the spinner stopping on blue? __________
 
c)
What is the chance of the spinner stopping on red? __________
 
d) If the spinner is spun 1000 times, how many times is it likely to land on yellow? __________
Task administration: 

This task is completed with pencil and paper, and other equipment.

[Equipment: Coloured pencils.]

Level:
5
Curriculum info: 
Maths, Statistics, Probability
Keywords: 
probability, long-run relative probability
Description of task: 
Students show probabilities by shading a spinner.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Interpreting statistical and chance situations, set 5
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y8 (11/1997)
a) 3 segments blue; 2 segments red and 2 green; 1 segment yellow. (Colours may be in any order) easy
b) 3/8 , 37.5%, .375, 3 in 8, or equivalent probability.
[Accept if answer consistent with a)].		 easy
c) 2/8, 1/4, 12.5%, .125, 1 in 4, or equivalent probability.
[Accept if answer consistent with a)].		 easy
d) 125 (accept 100-150) 
[Accept if answer consistent with a)].		 difficult