T Madas What proportion of the shape is

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© T Madas

© T Madas

What proportion of the shape is shaded? For every shaded square, how many unshaded

What proportion of the shape is shaded? For every shaded square, how many unshaded squares are there? For 4 shaded 16 unshaded For 1 shaded 4 unshaded 1: 4 © T Madas

A ratio is an expression which allows us to compare quantities. Usually the words

A ratio is an expression which allows us to compare quantities. Usually the words connected with ratio are “… for every …” It behaves very much like a fraction We can find equivalent ratios the same way we find equivalent fractions © T Madas

Blue : Orange 2: 4 1: 2 For every blue square there are 2

Blue : Orange 2: 4 1: 2 For every blue square there are 2 orange squares Blue : Orange 3: 9 1: 3 For every blue square there are 3 orange squares © T Madas

Blue : Orange 4: 6 2: 3 For every 2 blue squares there are

Blue : Orange 4: 6 2: 3 For every 2 blue squares there are 3 orange squares Blue : Orange 6: 8 3: 4 For every 3 blue squares there are 4 orange squares © T Madas

Blue : Orange 6 : 15 2: 5 For every 2 blue squares there

Blue : Orange 6 : 15 2: 5 For every 2 blue squares there are 5 orange squares Blue : Orange 2: 8 1: 4 For every blue square there are 4 orange squares © T Madas

Blue : Orange : Red 2 : 8 : 4 1 : 4 :

Blue : Orange : Red 2 : 8 : 4 1 : 4 : 2 For every blue square there are 4 orange and 2 red squares Blue : Orange : Red 4 : 12 : 4 1 : 3 : 1 For every blue square there are 3 orange and 1 red square. © T Madas

© T Madas

© T Madas

There were 12 sunny days and 18 rainy days last month. Write the ratio

There were 12 sunny days and 18 rainy days last month. Write the ratio of sunny days to rainy days in its simplest form. Mr Davis owns 4 pairs of grey socks and 10 pairs of black socks. Write the ratio of grey socks to black socks in its simplest form. 12 : 18 4 : 10 ÷ 6 ÷ 2 2 : 3 2: 5 For every 2 sunny days there were 3 rainy days For every 2 grey pairs, he owns 5 black pairs. © T Madas

8 MB has 12 boys and 16 girls. Write the ratio of boys to

8 MB has 12 boys and 16 girls. Write the ratio of boys to girls in this class in its simplest form A shirt consists of 70% cotton and 30% nylon. Write for this shirt its ratio of cotton to nylon in its simplest form. 12 : 16 70 : 30 ÷ 4 ÷ 10 3 : 4 7 : 3 For every 3 boys there are 4 girls. For every 7 parts cotton there are 3 parts nylon. © T Madas

© T Madas

© T Madas

Cancel down (simplify) these ratios 1. 5 : 2. 4 1. 2 : 2

Cancel down (simplify) these ratios 1. 5 : 2. 4 1. 2 : 2 x 10 15 : 24 12 : 20 ÷ 3 ÷ 4 5 : 8 3 : 5 1. 2 : 3. 6 x 10 12 : 30 : 36 ÷ 6 2 : 5 : 6 © T Madas

Cancel down (simplify) these ratios 1. 5 : 2. 5 1. 5 : 2

Cancel down (simplify) these ratios 1. 5 : 2. 5 1. 5 : 2 x 10 3 : 5 15 : 20 ÷ 5 3 : 4 1. 2 : 1. 25 x 100 120 : 125 ÷ 5 24 : 25 © T Madas

Cancel down (simplify) these ratios 1 2 : 3 4 0. 5 : 0.

Cancel down (simplify) these ratios 1 2 : 3 4 0. 5 : 0. 75 3 5 : 3 4 0. 6 : 0. 75 x 2 x 100 1 : 1. 5 60 : 75 x 2 ÷ 15 2 : 3 4 : 5 © T Madas

© T Madas

© T Madas

What is the ratio of shaded parts to unshaded parts? © T Madas

What is the ratio of shaded parts to unshaded parts? © T Madas

What is the ratio of shaded parts to unshaded parts? © T Madas

What is the ratio of shaded parts to unshaded parts? © T Madas

What is the ratio of shaded parts to unshaded parts? © T Madas

What is the ratio of shaded parts to unshaded parts? © T Madas

© T Madas

© T Madas

What is the ratio of shaded parts to unshaded parts? © T Madas

What is the ratio of shaded parts to unshaded parts? © T Madas

What is the ratio of shaded parts to unshaded parts? © T Madas

What is the ratio of shaded parts to unshaded parts? © T Madas

What is the ratio of shaded parts to unshaded parts? © T Madas

What is the ratio of shaded parts to unshaded parts? © T Madas

© T Madas

© T Madas

Cancel down (simplify) these ratios 10 : 15 12 : 16 4 : 10

Cancel down (simplify) these ratios 10 : 15 12 : 16 4 : 10 ÷ 5 ÷ 4 ÷ 2 2 : 3 3 : 4 2: 5 5 : 15 3 : 12 8 : 12 ÷ 5 ÷ 3 ÷ 4 1: 3 1: 4 2: 3 © T Madas

Cancel down (simplify) these ratios 15 : 25 12 : 32 4 : 14

Cancel down (simplify) these ratios 15 : 25 12 : 32 4 : 14 ÷ 5 ÷ 4 ÷ 2 3 : 5 3 : 8 2: 7 15 : 18 3 : 24 8 : 72 ÷ 3 ÷ 8 5 : 6 1: 8 1: 9 © T Madas

Cancel down (simplify) these ratios 40 : 25 8 : 36 42 : 24

Cancel down (simplify) these ratios 40 : 25 8 : 36 42 : 24 ÷ 5 ÷ 4 ÷ 6 8 : 5 2: 9 7: 4 3 : 18 9 : 30 25 : 60 ÷ 3 ÷ 5 1 : 6 3 : 10 5 : 12 © T Madas

Cancel down (simplify) these ratios 40 : 25 : 10 ÷ 5 9 :

Cancel down (simplify) these ratios 40 : 25 : 10 ÷ 5 9 : 12 : 30 ÷ 3 8 : 5 : 2 3 : 4 : 10 2 : 6 : 8 8 : 20 : 8 ÷ 2 1 : 3 : 4 ÷ 4 2 : 5 : 2 © T Madas

Cancel down (simplify) these ratios 18 : 30 : 12 ÷ 6 15 :

Cancel down (simplify) these ratios 18 : 30 : 12 ÷ 6 15 : 12 : 24 ÷ 3 3 : 5 : 2 5: 4 : 8 14 : 21 : 28 8 : 40 : 16 ÷ 7 2 : 3 : 4 ÷ 8 1 : 5 : 2 © T Madas

Cancel down (simplify) these ratios 1. 5 : 2. 4 1. 2 : 2

Cancel down (simplify) these ratios 1. 5 : 2. 4 1. 2 : 2 x 10 15 : 24 12 : 20 ÷ 3 ÷ 4 5 : 8 3 : 5 1. 2 : 3. 6 x 10 12 : 30 : 36 ÷ 6 2 : 5 : 6 © T Madas

© T Madas

© T Madas

Cancel down (simplify) these ratios 10 : 15 12 : 16 4 : 10

Cancel down (simplify) these ratios 10 : 15 12 : 16 4 : 10 ÷ 5 ÷ 4 ÷ 2 2 : 3 3 : 4 2: 5 5 : 15 3 : 12 8 : 12 ÷ 5 ÷ 3 ÷ 4 1: 3 1: 4 2: 3 © T Madas

Cancel down (simplify) these ratios 15 : 25 12 : 32 4 : 14

Cancel down (simplify) these ratios 15 : 25 12 : 32 4 : 14 ÷ 5 ÷ 4 ÷ 2 3 : 5 3 : 8 2: 7 15 : 18 3 : 24 8 : 72 ÷ 3 ÷ 8 5 : 6 1: 8 1: 9 © T Madas

Cancel down (simplify) these ratios 40 : 25 8 : 36 42 : 24

Cancel down (simplify) these ratios 40 : 25 8 : 36 42 : 24 ÷ 5 ÷ 4 ÷ 6 8 : 5 2: 9 7: 4 3 : 18 9 : 30 25 : 60 ÷ 3 ÷ 5 1 : 6 3 : 10 5 : 12 © T Madas

Cancel down (simplify) these ratios 40 : 25 : 10 ÷ 5 9 :

Cancel down (simplify) these ratios 40 : 25 : 10 ÷ 5 9 : 12 : 30 ÷ 3 8 : 5 : 2 3 : 4 : 10 2 : 6 : 8 8 : 20 : 8 ÷ 2 1 : 3 : 4 ÷ 4 2 : 5 : 2 © T Madas

Cancel down (simplify) these ratios 18 : 30 : 12 ÷ 6 15 :

Cancel down (simplify) these ratios 18 : 30 : 12 ÷ 6 15 : 12 : 24 ÷ 3 3 : 5 : 2 5: 4 : 8 14 : 21 : 28 8 : 40 : 16 ÷ 7 2 : 3 : 4 ÷ 8 1 : 5 : 2 © T Madas

Cancel down (simplify) these ratios 1. 5 : 2. 4 1. 2 : 2

Cancel down (simplify) these ratios 1. 5 : 2. 4 1. 2 : 2 x 10 15 : 24 12 : 20 ÷ 3 ÷ 4 5 : 8 3 : 5 1. 2 : 3. 6 x 10 12 : 30 : 36 ÷ 6 2 : 5 : 6 © T Madas

© T Madas

© T Madas

Which of the following ratios is the odd one out? 2: 3 4: 6

Which of the following ratios is the odd one out? 2: 3 4: 6 14 : 21 6: 8 24 : 36 16 : 12 20 : 15 4: 3 28 : 21 3: 4 12 : 30 6 : 15 5: 2 10 : 25 4 : 10 20 : 70 4 : 14 10 : 35 6 : 21 6 : 16 8 : 12 6 : 10 21 : 35 15 : 25 9 : 15 2: 8 16 : 6 56 : 21 80 : 30 32 : 12 © T Madas

Which of the following ratios is the odd one out? 6: 9 8 :

Which of the following ratios is the odd one out? 6: 9 8 : 10 20 : 25 12 : 15 24 : 30 8: 6 28 : 21 5: 4 40 : 30 20 : 15 4 : 18 2 : 10 5 : 25 6 : 30 3 : 15 32 : 20 24 : 15 80 : 50 16 : 10 5: 3 30 : 20 6: 4 8: 6 15 : 10 9: 6 10 : 4 25 : 10 12 : 6 15 : 6 50 : 20 © T Madas

Which of the following ratios is the odd one out? 0. 2 : 0.

Which of the following ratios is the odd one out? 0. 2 : 0. 3 4: 6 1. 4 : 2. 1 1. 6 : 1. 8 2: 3 2. 4 : 1. 8 2. 8 : 2. 1 0. 5 : 0. 4 40 : 30 4: 3 1. 2 : 3 0. 6 : 1. 5 0. 5 : 0. 2 1 : 2. 5 0. 4 : 1 32 : 20 2. 4 : 1. 5 8: 5 1. 6 : 1 1. 5 : 0. 9 0. 8 : 1. 2 0. 6 : 1 21 : 35 1. 5 : 2. 5 3: 5 1 : 0. 4 2. 5 : 1 1. 2 : 0. 6 5: 3 10 : 6 © T Madas

© T Madas

© T Madas

Which of the following ratios is the odd one out? 2: 3 4: 6

Which of the following ratios is the odd one out? 2: 3 4: 6 14 : 21 6: 8 24 : 36 16 : 12 20 : 15 4: 3 28 : 21 3: 4 12 : 30 6 : 15 5: 2 10 : 25 4 : 10 20 : 70 4 : 14 10 : 35 6 : 21 6 : 16 8 : 12 6 : 10 21 : 35 15 : 25 9 : 15 2: 8 16 : 6 56 : 21 80 : 30 32 : 12 © T Madas

Which of the following ratios is the odd one out? 6: 9 8 :

Which of the following ratios is the odd one out? 6: 9 8 : 10 20 : 25 12 : 15 24 : 30 8: 6 28 : 21 5: 4 40 : 30 20 : 15 4 : 18 2 : 10 5 : 25 6 : 30 3 : 15 32 : 20 24 : 15 80 : 50 16 : 10 5: 3 30 : 20 6: 4 8: 6 15 : 10 9: 6 10 : 4 25 : 10 12 : 6 15 : 6 50 : 20 © T Madas

Which of the following ratios is the odd one out? 0. 2 : 0.

Which of the following ratios is the odd one out? 0. 2 : 0. 3 4: 6 1. 4 : 2. 1 1. 6 : 1. 8 2: 3 2. 4 : 1. 8 2. 8 : 2. 1 0. 5 : 0. 4 40 : 30 4: 3 1. 2 : 3 0. 6 : 1. 5 0. 5 : 0. 2 1 : 2. 5 0. 4 : 1 32 : 20 2. 4 : 1. 5 8: 5 1. 6 : 1 1. 5 : 0. 9 0. 8 : 1. 2 0. 6 : 1 21 : 35 1. 5 : 2. 5 3: 5 1 : 0. 4 2. 5 : 1 1. 2 : 0. 6 5: 3 10 : 6 © T Madas

© T Madas

© T Madas

Which two of the following ratios form a pair? 12 : 18 9 :

Which two of the following ratios form a pair? 12 : 18 9 : 12 14 : 28 6: 8 12 : 15 9 : 12 10 : 15 6 : 10 28 : 21 3: 4 30 : 10 16 : 12 5: 2 10 : 6 15 : 6 24 : 48 8 : 32 10 : 30 5 : 12 6 : 24 8 : 12 6 : 10 20 : 35 10 : 15 9 : 18 2: 8 16 : 24 21 : 35 5 : 20 4: 1 © T Madas

Which two of the following ratios form a pair? 12 : 21 6 :

Which two of the following ratios form a pair? 12 : 21 6 : 10 7 : 14 9 : 15 4: 6 8 : 12 10 : 12 6 : 10 3: 4 6: 9 32 : 16 16 : 12 5: 2 10 : 6 25 : 10 24 : 48 8 : 32 12 : 30 5 : 15 3 : 12 10 : 12 6 : 10 15 : 18 20 : 30 9 : 12 8 : 10 16 : 24 21 : 35 12 : 15 3: 4 © T Madas

Which two of the following ratios form a pair? 4: 5 0. 6 :

Which two of the following ratios form a pair? 4: 5 0. 6 : 1 0. 7 : 1. 4 0. 9 : 1. 5 2: 3 0. 8 : 1. 2 1 : 1. 2 0. 6 : 1 3: 4 6: 9 48 : 16 1. 6 : 1. 2 5: 2 1 : 0. 6 2. 5 : 1 2. 4 : 4. 8 0. 8 : 3. 2 1. 2 : 3 0. 5 : 1. 5 6 : 24 1 : 1. 6 0. 6 : 1 20 : 30 5: 8 9 : 12 0. 8 : 12 21 : 30 4: 5 12 : 30 © T Madas

© T Madas

© T Madas

Which two of the following ratios form a pair? 12 : 18 9 :

Which two of the following ratios form a pair? 12 : 18 9 : 12 14 : 28 6: 8 12 : 15 9 : 12 10 : 15 6 : 10 28 : 21 3: 4 30 : 10 16 : 12 5: 2 10 : 6 15 : 6 24 : 48 8 : 32 10 : 30 5 : 12 6 : 24 8 : 12 6 : 10 20 : 35 10 : 15 9 : 18 2: 8 16 : 24 21 : 35 5 : 20 4: 1 © T Madas

Which two of the following ratios form a pair? 12 : 21 6 :

Which two of the following ratios form a pair? 12 : 21 6 : 10 7 : 14 9 : 15 4: 6 8 : 12 10 : 12 6 : 10 3: 4 6: 9 32 : 16 16 : 12 5: 2 10 : 6 25 : 10 24 : 48 8 : 32 12 : 30 5 : 15 3 : 12 10 : 12 6 : 10 15 : 18 20 : 30 9 : 12 8 : 10 16 : 24 21 : 35 12 : 15 3: 4 © T Madas

Which two of the following ratios form a pair? 4: 5 0. 6 :

Which two of the following ratios form a pair? 4: 5 0. 6 : 1 0. 7 : 1. 4 0. 9 : 1. 5 2: 3 0. 8 : 1. 2 1 : 1. 2 0. 6 : 1 3: 4 6: 9 48 : 16 1. 6 : 1. 2 5: 2 1 : 0. 6 2. 5 : 1 2. 4 : 4. 8 0. 8 : 3. 2 1. 2 : 3 0. 5 : 1. 5 6 : 24 1 : 1. 6 0. 6 : 1 20 : 30 5: 8 9 : 12 0. 8 : 12 21 : 30 4: 5 12 : 30 © T Madas

© T Madas

© T Madas

Martha is 12 and her younger brother Jake is 6. 1. Write the ratio

Martha is 12 and her younger brother Jake is 6. 1. Write the ratio of Martha’s age : Jake’s age in its simplest form, in 4 years time. Write the ratio of Martha’s age : Jake’s age in its simplest form, when Jake will be 24 years old. 2. 3. now: in 4 years: when Jake is 24: M : J 12 : 6 16 : 10 30 : 24 ÷ 6 2 : 1 ÷ 2 8 : 5 ÷ 6 5 : 4 © T Madas

© T Madas

© T Madas