Recipe ratios

Recipe ratios

Pencil and paper
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This task is about writing ratios in their simplest form.

A chef is following some recipes for baked goods.

For each question, write down the ratio of ingredients in its simplest form.

 

A ratio is in its simplest form when it uses the smallest possible whole numbers.
Example:  4 : 2 in its simplest form is 2 : 1
 
a)

 

 
The ratio of flour to butter in a batch of cookies is 10 : 4.
 
Write this ratio in its simplest form. ________ : ________
 
b)

 

In the raspberry tarts, there are 2 cups of flour to \(1 \over 2\) a cup of jam.
 
Write the ratio of flour to jam in its simplest form. ________ : ________
 
c)

 

The bread rolls have \(1 \over 3\) of a cup of butter to \(3 \over 4\) of a cup of sugar. 
 
Write the ratio of butter to sugar in its simplest form. ________ : ________
 
d)

 

The fruit bread has \(1 \over 3\) of a cup of sugar to 1 cup of raisins to 2 cups of flour.
 
Write the ratio of sugar to raisins to flour in its simplest form.
 
________ : ________ : ________
 
e)

 

The muffins have 1\(1 \over 2\) cups of flour to \(1 \over 2\) a cup of milk to \(2 \over 3\) of a cup of cheese.
 
Write the ratio of flour to milk to cheese in its simplest form.
 
________ : ________ : ________
Task administration: 
This task is completed with pencil and paper only.
Level:
5
Description of task: 
Students write ratios of cooking ingredients in their simplest form.
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 (03/2004)

a) 5 : 2 very easy
b) 4 : 1 difficult
c) 4 : 9 difficult
d) 1 : 3 : 6 difficult
e) 9 : 3 : 4 very difficult
Diagnostic and formative information: 
Likely misconception Examples
Writes decimals or fractions instead of counting numbers.
b)  1 : 1/4
       1 : 0.25
Writes given numbers in each space. c) 1/3 : 3/4
Writes given numbers as decimals. c)  0.33 : 0.75