# Dividing into a ratio I

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## Lesson details

### Key learning points

- In this lesson, we will divide a quantity into a ratio of the form a : b and compare the relative sizes of the parts to each other and to the whole.

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### 5 Questions

Q1.

Fill in the gap: We can divide a line segment into a given ________ by considering the coordinates of its endpoints.

constant

coordinate

proportion

Q2.

Fill in the gap: The _____________ of proportionality of ADE to ABC is 1.5.

coordinate

proportion

ratio

Q3.

Fill in the gap: The ratio of 𝐴𝐸: 𝐴𝐶 = 6: 9 = 2:___

1

2

4

Q4.

Fill in the gap: The ratio of 𝐴𝐸: 𝐸𝐶 = ___: 1

1

3

4

Q5.

A line segment ABC is split in the ratio AB to BC as 3 : 5. What fraction of the line segment is AB?

3/5

5/3

5/8

### 5 Questions

Q1.

Amit and Bernie share 100 sweets in the ratio 2:3. What fraction of the sweets will Amit have?

2/3

3/2

3/5

Q2.

Amit and Bernie share 100 sweets in the ratio 2:3. What fraction of the sweets will Bernie have?

2/3

2/5

3/2

Q3.

Amit and Bernie share 100 sweets in the ratio 2:3. How many sweets will Amit get?

20

60

80

Q4.

Amit and Bernie share 100 sweets in the ratio 2:3. How many sweets will Bernie get?

20

40

80

Q5.

In a group of 72 children, the ratio of boys to girls is 5:4. How many girls are in the group?

18

40

67