Perimeter and length

Perimeter and length

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about perimeter and lengths of shapes.

square field

a) The perimeter of a square field is 800 m. The length of one side is __________ m
 
b)
One side of a rectangle is 8 cm and the total perimeter is 20 cm.
What are the measurements of the other sides?
 
  __________ cm     __________ cm     __________ cm
 
c) The perimeter of a square picture is 240 cm. How long is one side? __________ cm
 
d)
The length of one side of a square scarf is 95 cm.
 
What is the perimeter of the scarf? __________ cm

 

e) A rectangular garden has a perimeter of 22 m. One side is 4 m. What do the other sides measure?
 
  __________ m     __________ m     __________ m
 
f)
One side of a regular pentagon is 9 cm.
 
What is the perimeter? __________ cm
Task administration: 
This task is completed with pencil and paper only.
Level:
4
Description of task: 
Students answer questions about perimeter and length of square and rectangle shapes.
Curriculum Links: 
This resource can help to identify students' understanding of side lengths and perimeter of shapes.
Learning Progression Frameworks
This resource can provide evidence of learning associated with within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
  

Y6 (07/1997)

Y7 (07/1997)

a) 200 easy easy
b) 8; 2; 2 [In any order] moderate easy
c) 60 moderate moderate
d) 380 moderate moderate
e) 4; 7; 7 [In any order] moderate moderate
f) 45 difficult moderate
Diagnostic and formative information: 
  Common error Likely calculation Likely reason
a)
c)
d)
400
120
190
800 ÷ 2
240 ÷ 2
95 x 2
Assumes square has 2 sides.
f) 18, 36, 54, etc. 18 x 2, 18 x 4, etc. Doesn't know sides in pentagon.