Ratio Word Problems and Diagrams
Adam and Kevin share the running
costs of the car in the ratio 1 : 3.
Last year it cost £1860 to run the car.
How much did Kevin pay?
Worded questions
Can you draw a diagram to help you to solve this question?
To make suet you need fat to flour in
the ratio 1:3.
Yasmin has 180g of flour.
How much fat does she need to make
the suet?
Worded questions
Can you draw a diagram to help you to solve this
question?
How was this question different to the other?
Adam and Kevin share the running
costs of the car in the ratio 1 : 3.
Last year it cost £1860 to run the car.
How much did Kevin pay?
To make suet you need fat to flour in
the ratio 1:3.
Yasmin has 180g of flour.
How much fat does she need to make
the suet?
Worded questions
Adam
Kevin
£1860
Fat
Flour
£180
Given a total
Given a part
Green paint is made by mixing blue
and yellow paint in the ratio 3:5.
How much of each colour is needed to
make 80 litres of green paint?
Money is split between Phoebe and
Monica in the ratio 5:6.
Monica gets £30.
How much does Phoebe receive?
The ages of a mother and daughter
are in the ratio 8:3. If the mother is 48
years old, how old is the daughter?
Mr Happy has an orchard of apple and
pear trees. The trees are planted in a
ratio of 3:2. He has a total of 60 trees.
How many trees are pear trees.
Pocket money is split between Jude,
Luke and Lola in the ratio 4:5:6. Dad
pays out £60. How much does each
person get?
A model farm is made using a scale of
1:24.
The height of a model cow is 5 cm.
What is the height of the real cow?
Sort these questions into two piles:
‘Given a total’
or
‘given a
part.’
Then answer the questions in your book using the
correct diagrams.
Kallan and Adam share some money in the ratio
5 : 3
Kallan has £240
more
than Adam.
How much does Adam have?
Kallan
Adam
£240
?
£360
Kallan and Adam share some money
in the ratio 5 : 3
Kallan has £240 more than Adam.
How much does Adam have?
To make suet you need fat to flour in
the ratio 1:3.
Yasmin has 180g of flour.
How much fat does she need to make
the suet?
How are these questions different?
Kallan
Adam
£240
Fat
Flour
£180
Given a
difference
Given a
part
There are red and yellow counters in a bag in
the ratio 3 : 2. There are 12 more red counters
in the bag.
How many counters are in the bag?
Red
Yellow
12
12
12
12
12
12
There are red, yellow and blue counters in a bag
in the ratio 3 : 2 : 1
There are 11 fewer blue counters in the bag than
yellow.
How many counters are in the bag?
Red
Yellow
11
11
11
11
11
11
Blue
11
Mark your work
A sum of money is shared among Fred, George and Harry in
the ratio 3:4:5.
a)
Express Fred’s share as a fraction of George’s share.
b)
Express Harry’s share as a fraction of the whole sum of
money.
c)
If Fred received £40 less than Harry, how much was the
sum of money?
Fred
George
Harry
Further Challenge
Liam, Sarah and Emily shared some money in the ratio 2 : 3 : 7
Emily got £80 more than Liam.
How much money did Sarah get?
The ratio of Superman’s money to Batman’s money was 5:3 at
first.
After Superman spent ½ of his money, he had £15 less than
Batman.
a)
How much money did Superman spend?
b)
What was the total amount the superheroes had at the
beginning?
The ratio of Henry’s height to Jack’s height is 4 : 5.
The ratio of Jack’s height to Mark’s height is 10 : 9.
If Mark is 15 cm taller than Henry, how tall is Henry?
The ratio of Charlotte’s savings to Lorna’s savings is 3 : 4.
The ratio of Lorna’s savings to Craig’s savings is 8 : 9.
If Charlotte’s savings is £15 less than Craig’s, how much do
the 3 of them save together?
Question Creation
Create your own questions and solutions using the guidelines
below.
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£
Solve worded ratio questions involving sharing costs, making mixtures, determining quantities, and more, with the help of diagrams for better visualization. Topics include sharing expenses, mixing ingredients, allocating resources, and calculating proportions in various scenarios.
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Presentation Transcript
Worded questions Adam and Kevin share the running costs of the car in the ratio 1 : 3. Last year it cost 1860 to run the car. How much did Kevin pay? Can you draw a diagram to help you to solve this question?
Worded questions To make suet you need fat to flour in the ratio 1:3. Yasmin has 180g of flour. How much fat does she need to make the suet? Can you draw a diagram to help you to solve this question? How was this question different to the other?
Worded questions To make suet you need fat to flour in the ratio 1:3. Yasmin has 180g of flour. How much fat does she need to make the suet? Adam and Kevin share the running costs of the car in the ratio 1 : 3. Last year it cost 1860 to run the car. How much did Kevin pay? Adam Fat 1860 180 Kevin Flour Given a total Given a part
Sort these questions into two piles: Given a total or given a part. Then answer the questions in your book using the correct diagrams. Money is split between Phoebe and Monica in the ratio 5:6. Monica gets 30. How much does Phoebe receive? Green paint is made by mixing blue and yellow paint in the ratio 3:5. How much of each colour is needed to make 80 litres of green paint? Mr Happy has an orchard of apple and pear trees. The trees are planted in a ratio of 3:2. He has a total of 60 trees. How many trees are pear trees. The ages of a mother and daughter are in the ratio 8:3. If the mother is 48 years old, how old is the daughter? Pocket money is split between Jude, Luke and Lola in the ratio 4:5:6. Dad pays out 60. How much does each person get? A model farm is made using a scale of 1:24. The height of a model cow is 5 cm. What is the height of the real cow?
Kallan and Adam share some money in the ratio 5 : 3 Kallan has 240 more more than Adam. How much does Adam have? Kallan Adam 240 ? 360
How are these questions different? Kallan and Adam share some money in the ratio 5 : 3 Kallan has 240 more than Adam. To make suet you need fat to flour in the ratio 1:3. Yasmin has 180g of flour. How much fat does she need to make the suet? How much does Adam have? Kallan Fat 180 Flour Adam 240 Given a difference Given a part
There are red and yellow counters in a bag in the ratio 3 : 2. There are 12 more red counters in the bag. How many counters are in the bag? 12 12 12 12 12 Red Yellow 12
There are red, yellow and blue counters in a bag in the ratio 3 : 2 : 1 There are 11 fewer blue counters in the bag than yellow. How many counters are in the bag? 11 11 11 11 11 11 Red Yellow Blue 11
Further Challenge Further Challenge A sum of money is shared among Fred, George and Harry in the ratio 3:4:5. a) Express Fred s share as a fraction of George s share. b) Express Harry s share as a fraction of the whole sum of money. c) If Fred received 40 less than Harry, how much was the sum of money? Fred George Harry
Liam, Sarah and Emily shared some money in the ratio 2 : 3 : 7 Emily got 80 more than Liam. How much money did Sarah get?
The ratio of Supermans money to Batmans money was 5:3 at first. After Superman spent of his money, he had 15 less than Batman. a) How much money did Superman spend? b) What was the total amount the superheroes had at the beginning?
The ratio of Henrys height to Jacks height is 4 : 5. The ratio of Jack s height to Mark s height is 10 : 9. If Mark is 15 cm taller than Henry, how tall is Henry?
The ratio of Charlottes savings to Lornas savings is 3 : 4. The ratio of Lorna s savings to Craig s savings is 8 : 9. If Charlotte s savings is 15 less than Craig s, how much do the 3 of them save together?
Question Creation Create your own questions and solutions using the guidelines below.
