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Edexcel GCSE Mathematics
3. Ratio, Proportion, and Rates of Change
3.1 Ratio
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Cards (33)
What does a ratio compare?
Two or more quantities
What are the two main forms of writing ratios?
Colon and fraction
What is the colon form of a ratio used to compare?
Quantities
The greatest common factor of 12 and 18 is
6
.
When comparing ratios, the larger the number, the greater the
proportion
.
How do you scale ratios to equivalent ratios?
Multiply or divide
What does a ratio compare?
Two or more quantities
How is a ratio written in colon form?
Using a colon
What is used to simplify a ratio to its lowest terms?
GCF
What is the first step to compare ratios?
Ensure same units
Give an example of a real-life application of ratios in cooking.
Ingredients ratio
The fraction form of the ratio 5:3 is
5/3
Ratios can be expressed in two main formats: colon form and
fraction
form.
What is the greatest common factor (GCF) used for when simplifying ratios?
Dividing
To compare ratios, they must be expressed in the same
units
.
True
The ratio 2:3 scaled by 2 becomes
4:6
.
True
Scaling a ratio by the same factor changes its proportional relationship.
False
A ratio of 5:3 means there are 5 apples for every 3 oranges.
True
The fraction form of a ratio represents the proportional relationship between quantities.
True
The GCF of 12 and
18
is 6.
True
The ratio 7:10 is greater than
3:5
.
True
An image with an aspect ratio of
16:9
is called widescreen.
True
If you have 5 apples and 3 oranges, the ratio of apples to oranges is 5:3.
True
The colon form of the ratio with 5 apples and 3 oranges is
5:3
.
True
The fraction form of a
ratio
represents the ratio as a fraction.
True
Steps to simplify the ratio 12:18 to its lowest terms.
1️⃣ Find the greatest common factor (GCF) of 12 and 18.
2️⃣ GCF is 6.
3️⃣ Divide both parts of the ratio by the GCF.
4️⃣ Simplified ratio is 2:3.
How do you scale a ratio to an equivalent ratio?
Multiply or divide
The ratio 10:15 simplified by dividing by 5 becomes
2:3
The ratio of 5 apples to 3 oranges is written as
5:3
The ratio 4:7 in fraction form is written as
4/7
The ratio 12:18 simplified to its lowest terms is
2:3
The ratio 3:5 converted to a fraction with a common denominator of 10 is
6/10
A recipe often uses a sugar-to-flour ratio of
2:1