The Danish flag

The Danish flag

Auto-markingPencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about working out the lengths and areas of parts of a flag.
This is a drawing of the Danish flag, which has a white cross on a red background.
Danish-flag.png
[NOT DRAWN TO SCALE]

Question 2Change answer

a)  What is the total width of the flag? cm

Question 2Change answer

b)  What is the length of each rectangle on the right? cm

Question 2Change answer

c)  What is the area of each rectangle on the right? cm2

Question 2Change answer

d)  What is the area of each square on the left? cm2

Question 2Change answer

e)  What is the area of the whole flag? cm2

Question 2Change answer

f)  What is the area of the white cross? cm2
Task administration: 
This task can be completed with pencil and paper or online (with auto marking displayed to students).
Level:
4
Description of task: 
Students calculate length and area of colours on the Danish flag.
Curriculum Links: 
This resource can help to identify students' understanding of calculating length and area.
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: 
   

Y8 (10/1997)

a) 45 cm   [20 + 5 + 20] very easy
b) 40 cm   [65 - 25] easy
c) 800 cm2   [40 × 20] moderate
d) 400 cm2   [20 × 20] moderate
e) 2925 cm2   [45 × 65] moderate
f) 525 cm2   [5 × 65 + 5 × 45 - 5 × 5] difficult
Diagnostic and formative information: 
  Student response Likely calculation Likely reason
c)
d)
e)
120
180
220

 

Confuses perimeter and area.
f) 550 5 × 65 + 5 × 45 Includes part of white cross twice.