Dog diets

Dog diets

Pencil and paper
Overview
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Marking Student Responses
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This task is about solving maths problems with rate.

a) An overweight dog was put on limited food and increased exercise to reduce its weight.
The dog lost weight at the rate of 0.4 kg per week.
 
  i)
If it weighed 21.0 kg before the diet how much did it weigh after 12 weeks?
 

__________ kg
 

  ii)
If the goal for the dog's weight was 15.0 kg, how many weeks altogether would it take to reach this (if it lost weight at 0.4 kg per week)?
 

__________ weeks
 

b)
Another dog was put on the same programme. Its weight dropped from 24.0 kg to 18.4 kg in eight weeks. At what rate did this dog lose weight?
 

__________ kg per week

 

Task administration: 
This task is completed with pencil and paper only.
Level:
5
Keywords: 
Description of task: 
Students answer questions about the change in weight of dogs as a result of limited food and increased exercise.
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: 
 

Y9 (05/1997)

Y10 (05/1997)

a) i)
ii)
16.2 (21.0 – 0.4 × 12)
15 ((210 – 15.0) ÷ 0.4)
easy
difficult
easy
moderate
b)   0.7 ((24.0 – 18.4) ÷ 8) moderate moderate