Ratio and Proportion
Adult Numeracy N1/L1.7
Work out simple ratio and direct proportion
Understand simple ratio as the number of parts, e.g. three parts to one part.
Understand direct proportion as the same rate of increase or decrease, e.g. double, half.
Understand relationship between simple ratio and fractions
Functional Mathematics Level 1: Solve simple problems involving ratio, where one number is a multiple
of the other
•Understand simple ratio as the number of parts, for example three parts to one part. A drink is made from
juice and water in the ratio of 1:5. How many litres of drink can I make from 2 litres of juice?
•Understand direct proportion as the same rate of increase or decrease, for example double, half, scale
up amounts of food for three times the number of people, put items in piles with twice as many items in
one pile as in the other.
Know how to use a simple scale to estimate distance on a road map.
Adult Numeracy N1/L2.3: Understand ratio written in the form 3:2
•Understand how to work out the number of parts in a given ratio, and the value of one part
Functional Mathematics Level 2: Understand, use and calculate ratio and proportion, including
problems involving scale.
•Understand ratio written in the form 3:2, sharing £60 in the ratio 3:2.
•Understand how to work out the number of parts in a given ratio, and the value of 1 part. For example,
the total cost for a job is £200. If the ratio between labour and materials is 5:3, how much was the labour?
Kindly contributed to www.skillsworkshop.org by Michael Hargreaves,
Michael.Hargreaves@oldham.ac.uk The Oldham College.
RATIO AND PROPORTION
By
Michael Hargreaves
What is ratio?
Ratio is a way of comparing amounts of
something. It shows how much bigger one
thing is than another.
1 nursery nurse for every 3 children
We would write this as 1:3
1 nursery nurse for every 3 children
Ratio = 1:3
• If another 3 children joined the nursery,
we would need another 1 nursery nurse
• We would now have 2 nursery nurses and
6 children. We could write this as 2:6
• By cancelling the numbers down (dividing
both numbers by 2) we end up with the
original ratio of 1:3
Q. In a nursery we need a ratio of 1 nursery nurse for
every 3 children. How many nursery nurses do we need for
15 children?
Step 1- Write down the ratio
Step 2- Label the numbers
1 : 3
Nurses
1 :
Children
3
Q. In a nursery we need a ratio of 1 nursery nurse for
every 3 children. How many nursery nurses do we need for
15 children?
Step 3- Put the 3rd number
in the correct column
Nurses
1
Step 4- Divide the 2 numbers
which are in the same
column
15
÷
Children
:
3
15
3=5
Step 5- Multiply the answer by
the number in the other 5 X 1 = 5
column
ANS = 5 nursery nurses
Q.
A nursery uses 3 pints of milk for 7 bowls of cereal. How
many bowls of cereal will they get from 12 pints of milk?
•Step 1•Step 2 -
3
:
7
•Step 3 -
Milk Cereal
3 : 7
12
•Step 4 -
12 ÷ 3 = 4
•Step 5 -
4 X 7 = 28 bowls of cereal
Q.
A nursery uses 3 pints of milk for 7 bowls of
cereal
• How many bowls of cereal will you get
1)
2)
3)
4)
from:
6 pints of milk
18 pints of milk
33 pints of milk
90 pints of milk
Quit
If for any
reason you
want to exit
from the
test, click
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button
Use the Next
button to move
forward when you
have selected the
correct answer
Next
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Player 1
Next
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A factory makes 5 bicycles per hour. How many
bicycles can they make in 2 hours?
5
2
10
9
Next
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A taxi goes 10 miles in 20 minutes. How far does
it travel in 60 minutes?
20 miles
30 miles
60 miles
40 miles
Next
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Sue can do 20 math questions in 5 minutes. How
long will it take Sue to do 100 questions?
20 minutes
30 minutes
25 minutes
35 minutes
Next
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Player 2
Next
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Four packs of sweets cost £2.00. How many
packet of sweets can you buy with £10.00?
15 packets
25 packets
20 packets
30 packets
Next
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The city bus goes 15 miles in 30 minutes. How far
does it go in 120 minutes?
50 miles
55 miles
60 miles
45 miles
Next
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If 12 roses makes 1 bunch of flowers, how
many bunches of flowers would 60 roses
make?
3 bunches
5 bunches
4 bunches
6 bunches
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Player 3
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If one box of chocolates holds 24 chocolates, how
many boxes would be needed for 168 chocolates?
6
8
9
7
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If we need 300 grams of flour to make 12 scones,
how many grams of flour would we need to make 72
scones?
1800 grams
1500 grams
2400 grams
2100 grams
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If 5 miles are approximately 8 kilometres,
approximately how many miles are 96 kilometres?
65 miles
55 miles
50 miles
60 miles
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