Ratio

Ratio

Open Ended

The ration of blue "to" green is 3:4.

Why isn't it 4:3?

Simplifying Ratio

We can treat ratios in the same way we do fractions: by dividing by the highest common factor, we can simplify them.

For example

6 : 9

(6÷2 = 3 and 9÷ 3 = 3)

2:3

Open Ended

Write down the ratios, leaving your answers in their simplest form:

4 : 8 so 1 : 2

Open Ended

Write down the ratios, leaving your answers in their simplest form:

8 : 6 so 4 : 3

Open Ended

Write down the ratios, leaving your answers in their simplest form:

6 : 9 so 2 : 3

Open Ended

Write down the ratios, leaving your answers in their simplest form:

12 : 8 so 3 : 2

Open Ended

Write down the ratios, leaving your answers in their simplest form:

8 : 2: 10 so 4 : 1 : 5

Open Ended

Share 50 in the ratio 2:3.

Share 50 in the ratio 2:3.

2 + 3 = 5

50 ÷ 5 = 10 

20:30

Open Ended

Share 800 in the ratio 9:7.

Share 800 in the ratio 9:7. 

9 + 7 = 16

800 ÷ 16 = 50

450:350

Open Ended

Share 40 in the ratio 1:3:6.

Share 40 in the ratio 1:3:6. 

1 + 3 + 6 = 10 

40 ÷ 10 = 4 

4:12:24

Open Ended

Share £770 in the ratio 4:7

Share £770 in the ratio 4:7

4 + 7 = 11 

770 ÷ 11 = 70 

280:490

Open Ended

Share 1kg in the ratio 4:6.

Share 1kg in the ratio 4:6. 

4 + 6 = 10

1 ÷ 10 = 0.1kg or 100g

0.4kg:0.6kg or 400g:600g 

Open Ended

Share 6m in the ratio 7:3:5.

Share 6m in the ratio 7:3:5. 

7 + 3 + 5 = 15

6 ÷ 15 = 0.4m or 40cm

2.8m:1.2m:2m or 280cm:120cm:200cm

Open Ended

Jolene makes a pattern out of beads. She uses only red and silver beads in the ratio 5:1. How many red beads will she need for a pattern with 30 beads in it?

Jolene makes a pattern out of beads. She uses only red and silver beads in the ratio 5:1. How many red beads will she need for a pattern with 30 beads in it? 

5 + 1 = 6

30 ÷ 6 = 5 beads

5 × 5 = 25 red beads

Open Ended

Caron has a bag of 44 marbles. She shares them with Kelsie in the ratio 1:3. Caron keeps the larger share for herself. How many marbles does she give to Kelsie?

Caron has a bag of 44 marbles. She shares them with Kelsie in the ratio 1:3. Caron keeps the larger share for herself. How many marbles does she give to Kelsie? 

1 + 3 = 4

44 ÷ 4 = 11 marbles

Caron gives Kelsie 11 marbles.

Open Ended

James makes pastry. He uses flour to butter in the ratio 2:1. The total mass of his pastry is 600g. What quantities of flour and butter did he use?

James makes pastry. He uses flour to butter in the ratio 2:1. The total mass of his pastry is 600g. What quantities of flour and butter did he use? 

2 + 1 = 3

600 ÷ 3 = 200g 

Flour = 2 × 200 = 400g

Butter = 1 × 200 = 200g

Open Ended

Zack and Kenny are waiters in a restaurant. The total amount of tips they receive at the end of the week is £126.90. Zack worked 5 nights and Kenny worked 4 nights. They decide to split the tips by the ratio of the nights they worked. How much do they get each?

Zack and Kenny are waiters in a restaurant. The total amount of tips they receive at the end of the week is £126.90. Zack worked 5 nights and Kenny worked 4 nights. They decide to split the tips by the ratio of the nights they worked. How much do they get each?

5 + 4 = 9

£126.90 ÷ 9 = £14.10 

Zack = 5 × £14.10 = £70.50 

Kenny = 4 × £14.10 = £56.40

Try to answer this question and check your answer on the next slide :-)

Poll

RAG (Red Amber Green)

To find an equivalent Ratio and write the ration in its simplest form

• R

  3 – I do not understand

• A

  2 – I need more practice

• G

  1 – I understand very well

Poll

RAG (Red Amber Green)

To share an amount into the given Ratio

• R

  3 – I do not understand

• A

  2 – I need more practice

• G

  1 – I understand very well

Poll

RAG (Red Amber Green)

To solve ratio problems

• R

  3 – I do not understand

• A

  2 – I need more practice

• G

  1 – I understand very well

Poll

RAG (Red Amber Green)

EFFORT AND ENGAGEMENT

• R

  3 – I did not try

• A

  2 – I should have tried more

• G

  1 – I was working very hard