Garage plan

Garage plan

Pencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
This task is about measuring length and using a scale.

Question 1Change answer

Plan of Gary's garage

Scale: 15 mm represents 1 m

Use the plan and the scale of 15 mm to 1 m to calculate the actual measurements of Gary's garage.

a)  Length of the garage (105 mm on the plan) metres.
 
b)  Width of the garage (60 mm on the plan) metres.
 
c)  Length of the workbench (36 mm on the plan)  metres.
 
d)  Width of the workbench (12 mm on the plan)  centimetres.
Task administration: 
This task can be completed with pencil and paper or online (with auto marking displayed to students).
 
Check the measurements of the printed or displayed garage plan.
Level:
5
Keywords: 
Description of task: 
Students use a plan of a garage with a scale to calculate the actual length and width of the garage and a workbench inside it.
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: 
 

Y10 (11/1999)

a)

7

very easy

b)

4

very easy

c)

2.4

easy

d)

80

difficult

Diagnostic and formative information: 

 

Student response

Likely calculation

Likely misconception

a)
b)
c)
d)

693
396
237.6
79.2

105 × 6.6
60 × 6.6
36 × 6.6
12 × 6.6

Multiplies lengths (in mm) by 6.6 which is 
100 ÷ 15 (to 1 d.p.). Answers are approximately correct answers (in mm).

d)

0.8
800

 

Answer in m not cm.
Answer in mm not cm.

b)
c)

5
2.6

6 – 1
3.6 – 1