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RatioRevision Guide
By Flow Mathematics
flowmathematics.co.uk
F o u n d a t i o n
a n d h i g h e rFor Edexcel,
AQA and OCR
Get examready
Contents
Ratios and fractions
Simplifying ratios
Sharing in a ratio
Map scale
Converting units of area
Converting units of volume
Combining ratios
Probabilities and ratios
Questions
1
For bestresults...
Make Chrome, Safari or Firefox yourdefault browser.
1.
2. Login to the Flow Mathematics app.
Links will then take you straight to theanswers and where to find more examples.
Go to the apphere
2
Grade2/3
Answer
Answer
3
Ratios and fractions
Click formore examples
Girls to boys means we put the 1 girl first.
Example 1
Example 2
Boys to girls means we put the 3 boys first.
Example 3
This means:3 milk chocolates1 dark chocolate
5 white chocolates
TipAdd the numbers
to get the denominator.
Grade2/3
4
Equivalent ratios and simplifying
Click formore examples
Example: Ratios Example: Fractions
AnswerAnswer
Divide both partsby common factors
Quick method
Divide both partsby the highest
common factor.
Quick method
Example: Three numbers
7 is the highestcommon factor
of 35, 21 and 49.
Answer
Grade3
Answer
Click formore examples 5
Sharing in a ratio
Example 1 Example 2
Tina gets 3 potsand Ria gets 4.
The £21 is sharedequally between
the 7 pots.
Example 3
Answer
AnswerHere are the pots
in the ratio 7:2.Callum has 5 more.
The 5 pots containa total of £30.Divide by 5 to find how muchis in each pot.
Multiply £3by the numbers
in the ratio.
Grade3
Example 2
Answer
Click formore examples
Map scale
6
Example 1
Answer Answer
Key idea
This means 1cmon the map represents20,000cm in real life.
Divide 20,000 by 100to change to metres.
Grade3/4
Click formore examples
Converting units of area
7
Area = 100 x 100 Area = 10,000cm
2
Area = 1000 x 1000 Area = 1,000,000m
2
Area = 10 x 10 Area = 100mm
2
Square metres to square centimetres
Square kilometres to square metres
Square centimetres to square millimetres
Why?
Why?
Why?Change the lengths of a square metre
to centimetres.
Then calculatethe new area!
Change the lengths of a
square kilometre to metres.
Then calculatethe new area!
Change the lengths of a
square centimetre to millimetres. Then calculate
the new area!
Grade3/4
Volume = 10 x 10 x 10 Volume = 1000mm
3
Volume = 100 x 100 x 100 Volume = 1,000,000cm
3
Why?
Why?
Click formore examples
Converting units of volume
8
Cubic centimetres to cubic millimetres
Cubic metres to cubic centimetres
Change the lengths of a
cubic centimetre to millimetres.
Then calculatethe new volume
Change the lengths of a cubic metre
to centimetres.
Then calculatethe new volume
Grade5
Click formore examples
Combining ratios
9
Example 1 Answer
Example 2
Answer
First rearrangeto find the ratio
b:c
Then combinethe ratios
like before.
b is commonto both ratios. 10 is the lowest
common multipleof 5 and 2.
Make the b parts of the ratios 10.
Grade5
Click formore examples
Probabilities and ratio
10
Example
Answer
First change theprobability toa percentage.
Then subtract from
100% and share in the ratio 7:8.
This is because
probabilities mustadd up to 100%.
Grade2-5 Questions
Feel calmer and more prepared for your maths exam.We have all topics covered with 1000s of examples to practise.
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