Distances between resorts

Distances between resorts

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about working out distances.

[not drawn to scale]

 

M, N, O, P, Q are beach resorts.
The one road connecting the resorts is shown in the drawing. 
Some of the actual distances are as follows:
 
 
  • 83 km from M to P.
  • 10 km from N to O.
  • 70 km from N to Q.
  • 50 km from M to O.
  
 
Work out the actual distance between these other resorts.
 
a)
 
b)
 
c)		  
M and N. __________ km
 
O and P. __________ km
 
P and Q. __________ km		  
Task administration: 
This task is completed with pencil and paper only.
Level:
4
Curriculum info: 
Maths, Number and Algebra, Number Strategies
Keywords: 
addition, subtraction
Description of task: 
Students use given distances to calculate other distances.
Curriculum Links: 
This resource can help to identify students' ability to apply additive or multiplicative strategies flexibly to whole numbers to solve addition and subtraction problems.
 
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Additive thinking, sets 7-8
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y7 (06/1996)

Y8 (06/1996)
a) 40 difficult difficult
b) 33 very difficult difficult
c) 27 very difficult difficult