Orange juice mixture

Orange juice mixture

Pencil and paper
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This task is about the different rates of orange drink powder per volume of water.
Janice was making some orange drink. She made Mixture X by adding 4 tablespoons of orange powder to 2 litres of water, and Mixture Y by adding 6 tablespoons of orange powder to 3 litres of water.
  

Mixture X           

 

Mixture Y            

 

a) Which of these statements is true about Janice's drink mixtures?
   
  (A)
(B)
(C)
(D)
Mixture X had a stronger flavour than Mixture Y.
Mixtures X and Y had the same strength of flavour.
Mixture Y had a stronger flavour than Mixture X.
It is impossible to tell from the information given.
 
b)
Janice wanted to make a new mixture with the same strength of flavour as Mixture X.
If she used 8 litres of water, how many tablespoons of orange powder would she need?
 
__________
 
c)
Janice made another new mixture by adding 5 tablespoons of orange powder to every 2 litres of water.
How many tablespoons of orange powder would she need for 12 litres of water?
 
__________
Task administration: 
This task is completed with pencil and paper only.
Level:
5
Keywords: 
Description of task: 
Students compare the strength of drinks with different rates of drink powder per volume of water.
Learning Progression Frameworks
This resource can provide evidence of learning associated with within the Mathematics Learning Progressions Frameworks.
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Answers/responses: 
 

Y10 (10/1998)

a) B easy
b) 16 easy
c) 30 easy
Diagnostic and formative information: 
  Common error Likely calculation Likely reason
b) 4 8 ÷ 2 Confuses litres and tablespoons.
c) 60 12 × 5 Assumes 5 tablespoons make 1 litre rather than 2 litres.