# Sorting Data: How Many Ways?

In this worksheet, students calculate the number of ways in which two items of clothing can be worn.

Key stage:  KS 2

Curriculum topic:   Statistics

Curriculum subtopic:   Solve Statistic Problems

Difficulty level:

### QUESTION 1 of 10

This worksheet is about combinations of colours.

Example

Terry has a blue, a yellow and a green shirt.

He also has blue, yellow and green pairs of shorts.

He can wear them in different ways.

Here is one way.

Choose the other ways in which yellow shorts can be worn.

yellow shorts and green shirt

yellow shorts and yellow shirt

Terry has a blue and a yellow shirt.

He also has blue and yellow pairs of shorts.

He can wear them in different ways.

Here is one way.

Choose the other way in which yellow shorts can be worn.

yellow shorts and green shirt

yellow shorts and yellow shirt

yellow shorts and green shorts

yellow shirt and green shirt

Terry has a blue, a yellow and a green shirt.

He also has blue and yellow pairs of shorts.

He can wear them in different ways.

Here is one way.

Choose the ways in which blue shorts can be worn.

blue shorts and blue shirt

blue shorts and yellow shirt

green shirt and blue shorts

blue shirt and green shirt

Terry has a yellow and a green shirt.

He also has yellow and green pairs of shorts.

He can wear them in different ways.

Is this way possible or not?

yes

no

Terry has a blue and a yellow shirt.

He also has blue, yellow and green pairs of shorts.

He can wear them in different ways.

Here is one way.

Choose the other ways in which a blue shirt can be worn.

blue shorts and blue shirt

blue shorts and yellow shirt

yellow shirt and yellow shorts

blue shirt and green shorts

Terry has a blue, a yellow and a green shirt.

He also has blue, yellow and green pairs of shorts.

He can wear them in different ways.

Here is one way.

Choose the ways in which a green shirt can be worn.

blue shorts and green shirt

blue shorts and yellow shirt

green shirt and yellow shorts

green shirt and green shorts

Terry has a blue, a yellow and a green shirt.

He also has blue, yellow and green pairs of shorts.

He can wear them in different ways.

Here is one way.

Choose the ways in which a yellow shirt can be worn.

blue shorts and yellow shirt

yellow shorts and green shirt

yellow shirt and yellow shorts

yellow shirt and green shorts

Terry has a blue, a yellow and a green shirt.

He also has blue, yellow and green pairs of shorts.

He can wear them in different ways.

Here is one way.

Choose the other ways in which yellow shorts can be worn.

yellow shorts and green shirt

yellow shorts and yellow shirt

yellow shorts and green shorts

yellow shirt and green shirt

Terry has a blue, a yellow and a green shirt.

He also has blue, yellow and green pairs of shorts.

He can wear them in different ways.

Here is one way.

Choose the ways in which green shorts can be worn.

green shorts and blue shirt

green shorts and yellow shirt

green shirt and green shorts

yellow shirt and green shirt

Terry has a blue, a yellow and a green shirt.

He also has blue, yellow and green pairs of shorts.

He can wear them in different ways.

Here is one way.

Choose the ways in which blue shorts can be worn.

blue shorts and blue shirt

blue shorts and yellow shirt

green shirt and blue shorts

yellow shirt and green shirt

Terry has a blue, a yellow and a green shirt.

He also has blue, yellow and green pairs of shorts.

He can wear them in different ways.

Here is one way.

Choose the other ways in which a blue shirt can be worn.

blue shorts and blue shirt

blue shorts and yellow shirt

yellow shirt and yellow shorts

blue shirt and green shorts

• Question 1

Terry has a blue and a yellow shirt.

He also has blue and yellow pairs of shorts.

He can wear them in different ways.

Here is one way.

Choose the other way in which yellow shorts can be worn.

yellow shorts and yellow shirt
EDDIE SAYS
With yellow shorts, he can wear either a blue or yellow shirt.
• Question 2

Terry has a blue, a yellow and a green shirt.

He also has blue and yellow pairs of shorts.

He can wear them in different ways.

Here is one way.

Choose the ways in which blue shorts can be worn.

blue shorts and blue shirt
blue shorts and yellow shirt
green shirt and blue shorts
EDDIE SAYS
Blue shorts can be matched with each of the three shirts.
• Question 3

Terry has a yellow and a green shirt.

He also has yellow and green pairs of shorts.

He can wear them in different ways.

Is this way possible or not?

no
EDDIE SAYS
He doesn't have a blue shirt.
• Question 4

Terry has a blue and a yellow shirt.

He also has blue, yellow and green pairs of shorts.

He can wear them in different ways.

Here is one way.

Choose the other ways in which a blue shirt can be worn.

blue shorts and blue shirt
blue shirt and green shorts
EDDIE SAYS
A blue shirt can be matched with blue or green shorts. The yellow shorts are already shown.
• Question 5

Terry has a blue, a yellow and a green shirt.

He also has blue, yellow and green pairs of shorts.

He can wear them in different ways.

Here is one way.

Choose the ways in which a green shirt can be worn.

blue shorts and green shirt
green shirt and yellow shorts
green shirt and green shorts
EDDIE SAYS
A green shirt can go with blue, yellow or green shorts.
• Question 6

Terry has a blue, a yellow and a green shirt.

He also has blue, yellow and green pairs of shorts.

He can wear them in different ways.

Here is one way.

Choose the ways in which a yellow shirt can be worn.

blue shorts and yellow shirt
yellow shirt and yellow shorts
yellow shirt and green shorts
EDDIE SAYS
The yellow shirt can go with blue, yellow or green shorts.
• Question 7

Terry has a blue, a yellow and a green shirt.

He also has blue, yellow and green pairs of shorts.

He can wear them in different ways.

Here is one way.

Choose the other ways in which yellow shorts can be worn.

yellow shorts and green shirt
yellow shorts and yellow shirt
EDDIE SAYS
The yellow shorts can also go with the green or yellow shirt.
• Question 8

Terry has a blue, a yellow and a green shirt.

He also has blue, yellow and green pairs of shorts.

He can wear them in different ways.

Here is one way.

Choose the ways in which green shorts can be worn.

green shorts and blue shirt
green shorts and yellow shirt
green shirt and green shorts
EDDIE SAYS
Green shorts will go with the blue, yellow or green shirt.
• Question 9

Terry has a blue, a yellow and a green shirt.

He also has blue, yellow and green pairs of shorts.

He can wear them in different ways.

Here is one way.

Choose the ways in which blue shorts can be worn.

blue shorts and blue shirt
blue shorts and yellow shirt
green shirt and blue shorts
EDDIE SAYS
Blue shorts will go with the blue, yellow or green shirt.
• Question 10

Terry has a blue, a yellow and a green shirt.

He also has blue, yellow and green pairs of shorts.

He can wear them in different ways.

Here is one way.

Choose the other ways in which a blue shirt can be worn.

blue shorts and blue shirt
blue shirt and green shorts
EDDIE SAYS
The blue shirt will also go with the blue or green shorts.
---- OR ----

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