# The rule of four

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## Lesson details

### Key learning points

- In this lesson, we will identify multiplicative relationships between 'times tables' and use patterns to solve problems in direct proportion contexts.

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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 5 Questions

Q1.

Fill in the gaps: If the proportion between the ____________ is constant, then the ratios are __________________.

proportions, equivalent

proportions, the same

ratios, the same

Q2.

The ratio of the top bar is 1 : 5 : 2. What is the equivalent ratio shown on the bottom bar?

3 : 12 : 6

3 : 14 : 6

3 : 16 : 6

Q3.

Squash and water are mixed in the following ratios to make a drink. Which drinks will taste the same? A) 4:10 B) 3:8 C) 9:24 D) 15:25

A and B and C

A and D

All of them

None of them

Q4.

Light green paint is mixed with green : white as 2: 5. What ratio would be needed for 12 units of green?

12 : 12

12 : 20

12 : 5

Q5.

Light green paint is mixed with green : white as 2: 5. Write the ratio for the white paint needed for 1 unit of green.

1 : 1

1 : 5

2 : 1

### 5 Questions

Q1.

Fill in the gap: If two quantities are in the same ratio then there are _______ relationships I can use to find a missing value.

four

one

three

Q2.

Lots of the same groups of yellow and red counters are put in a bag. Fill in the missing value in the ratio table.

1.25

25

6.25

Q3.

Lots of the same groups of yellow and red counters are put in a bag. Fill in the missing value in the ratio table.

1.3

3.9

6

Q4.

Lots of the same groups of yellow and red counters are put in a bag. Fill in the missing value in the ratio table.

16.1

2.3

5

Q5.

Yellow and red counters are in the ratio 2 : 3. What fraction of the counters are yellow?

2/3

3/2

3/5