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Maths Revision: Ratios and Rates

A revision about ratios and rates.
by

Tiffany Chin

on 1 October 2012

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Transcript of Maths Revision: Ratios and Rates

Ratios Ratios and Rates A comparison between 2/more quantities of the same kind Ratios can be shown as... 1:1 Ratio Form
1 to 1 Word Form
1/1 Fraction Form
1:n/m:1 Unit Ratio Please do not copy! Equivalent Ratios Ratios with the same meaning Simplify
e.g.
2:4 1:2 1/2 2/4 Prime Factorization Unit Ratio Ratios with a denominator to 1
(Simplify) A:B/A 1:B/A 1:n
A:B/B 1:B/A m:1 Conversion of A and B Comparing Ratios Change order to unit ratio e.g.
Which class has the highest BOYS:GIRLS ratio?
Class 1 Class 2 Class 3
2:3 3:4 1:5 1. Compare your question to ratio given If same order, m:1
e.g. Highest B:G If not, 1:n
e.g. Lowest G:B 2. Convert

3. Order Use m:1 Class 1 Class 2 Class 3
2/3:1= 0.6: 1 3/4:1=0.75:1 1/5:1=0.2:1 Class 2 Class 1 Class 3 4. Choose your answer Highest B:G Ratio Multiply Method 1: Find the Unknown
e.g. Solve for Unknown
3:4=a:8
=6:8
a=6
Method 2: Fractions
e.g.
3:4=c:10
10x3/4=c/28.5x10
30/4=c
7.5=c Find A:B:C from A:B/B:C Cross Product
e.g.
A:B=4:3
B:C=7:5 4 : 3
7 : 5
28:21:15 Multiply as follow Line up common value Rearrange and simplify as needed Modeling Using Ratios e.g. 250 ml lemon juice, how
much water:lemonade? Water=5/6
Juice=1/6 250x5/6
250x1/6 yield 6
208:42 Ratios with Total e.g. Jim:Steve
4:3=7 Total:420 420/7x3=S
180=S

420-180=J
240=J

240:180 Rates A specific type of ratio that measures changes using different units Unit Rate: Used for comparison (Rate per 1 unit) Unit/$ or $/Unit
Full transcript