Using string lines

Using string lines

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This task is about adding lengths of string together.

Question 1Change answer

a)  A builder tied strings between 5 pegs as shown, to mark out where concrete was to be laid.
     How much string was used? m
 
b)  If the builder removed the 2 diagonal strings (inside the square),
     what length of string would be left? m
Level:
4
Description of task: 
Students calculate the length of a builder's string line.
Learning Progression Frameworks
This resource can provide evidence of learning associated with within the Mathematics Learning Progressions Frameworks.
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Answers/responses: 
   

Y7 (07/1997)

Y8 (07/1997)

a) 162.8 moderate moderate
b) 106
[Accept correct subtraction of 56.8 from answer to a).]
easy easy
Diagnostic and formative information: 
  Common error Likely misconception
a)
b)
94.4
66
Adds the marked dimensions only.
a)
b)
142.8
86
Ignores 1 side of the square.
a) 122.8
219.6
Ignores 2 sides of the square.
Uses 4 diagonals instead of 2.