Ratios and Proportion
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 Keith Burnett, Sutton Coldfield College.
ping.keith@googlemail.com
To see more of Keith’s resources visit http://www.slideshare.net/keithpeter
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
3:2
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
3:2
3 parts
water
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
2 parts
orange
juice
3:2
3 parts
water
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
2 parts
orange
juice
3:2
3 parts
water
3+2=5
equal parts…
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
Find value of one share
if you know the value of
the whole amount…
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
£350
£??
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
£350
£??
How did you work it out?
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
£350
£70
350 ÷ 5 = 70
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
£350
£70 £70 £70
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
£350
£70 £70 £70
3  70 = 210
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
£350
£210
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
£350
£210
£??
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
Find value of one share
if you know the value of
the other share…
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
£20
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
£20
??
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
£20
£30
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
£20
£30
How did you work it out?
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
Try these problems,
some in pictures and
some in words…
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
Jim’s
Jemima’s
Write down the ratio using the
colon notation…
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
£800
Jim’s
Jemima’s
Find the value of Jim
and Jemima’s shares…
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
£??
£280
£??
Find the value of the whole amount
and the missing share…
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
Write down the ratio using the
smallest whole numbers you can…
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
How much cous-cous
and water do you need
for two servings?
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
Write the ratio of (dry)
cous-cous to water in
its lowest terms
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com
Algernon wants to
make 800g of cooked
cous-cous. How much
dry cous-cous does he
need? And how much
water in ml?
Keith Burnett, Sutton Coldfield College, ping.keith@googlemail.com