T Madas What proportion of the shape is
- Slides: 55
© T Madas
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 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 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 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 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 : 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
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 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
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 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. 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
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
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
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 ÷ 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 ÷ 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 : 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 : 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 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
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 ÷ 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 ÷ 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 : 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 : 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 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
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 : 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. 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
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 : 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. 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
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 : 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 : 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
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 : 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 : 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
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
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