Clothing combinations III

Clothing combinations III

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about finding all possible combinations.
 
a)
Hone has 7 different shirts and 6 different ties. How many different combinations of shirts and ties can he wear?
 
__________
 
b)
Peri has 5 pairs of shorts and 8 tops. How many combinations of shorts and tops can he wear?
 
__________
 
c)
Navaeh has 5 shirts, 3 belts, and 2 pairs of sneakers. How many different combinations of shirts, belts, and sneakers can she wear?
 
__________
Task administration: 
This task is completed with pencil and paper only.
Level:
3
Curriculum info: 
Maths, Statistics, Probability
Keywords: 
combinations
Description of task: 
Students work out the number of possible combinations of clothes three people could wear.
Curriculum Links: 
This resource can be used to help to identify students' understanding of finding all possible outcomes.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Interpreting statistical and chance situations, sets 3-4
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y6 (06/1997)

Y7 (06/1997)
a) 42 difficult moderate
b) 40 difficult moderate
c) 30 difficult moderate
Diagnostic and formative information: 
   Common error Likely reason
a)
b)
c)		 13
13
10		 Adds rather than multiplies. Items of clothing seen to be worn by themselves, not in combinations.
a)
b)
c)		 6
5
2		 Quotes the minimum number of items of clothing.