# Ice Cream Combinations

In this worksheet, students work out the number of combinations that are possible.

Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Probability

Difficulty level:

### QUESTION 1 of 10

A combination is a way of selecting something out of all the different options where the order doesn't matter.

To work out the total number of combinations we can multiply together the numbers of different options.

Example

Jack goes to buy an Italian ice cream.

He can choose from a small cone, a medium cone or a large cone.

There are 30 flavours.

He can have his ice cream with a wafer or without.

How many different combinations are there?

There are 3 sizes.

There are 30 flavours.

That means that, so far, there are 3 x 30 = 90 different combinations.

There are 2 options for the wafer (with or without).

So there are now 3 x 30 x 2 = 180 combinations.

Jack goes to buy an Italian ice cream.

He can choose from a small cone or a large cone.

There are 20 flavours.

How many different combinations are there?

Jack goes to buy an Italian ice cream.

He can choose from a small cone or a large cone.

There are 25 flavours.

How many different combinations are there?

Jack goes to buy an Italian ice cream.

He can choose from a small cone, a medium cone or a large cone.

There are 25 flavours.

How many different combinations are there?

Jack goes to buy an Italian ice cream.

He can choose from a small cone, a medium cone or a large cone.

There are 15 flavours.

How many different combinations are there?

Jack goes to buy an Italian ice cream.

He can choose from a small cone, a medium cone or a large cone.

There are 10 flavours.

He can have his ice cream with chocolate or strawberry sauce or without sauce.

How many different combinations are there?

Jack goes to buy an Italian ice cream.

He can choose from a small cone, a medium cone or a large cone.

There are 15 flavours.

He can have his ice cream with chocolate or strawberry sauce or without sauce.

How many different combinations are there?

Jack goes to buy an Italian ice cream.

He can choose from a small cone or a large cone.

There are 12 flavours.

He can have his ice cream with chocolate, caramel or strawberry sauce or without sauce.

How many different combinations are there?

Jack goes to buy an Italian ice cream.

He can choose from a small cone, a medium cone or a large cone.

There are 12 flavours.

He can have his ice cream with chocolate, caramel or strawberry sauce or without sauce.

How many different combinations are there?

Jack goes to buy an Italian ice cream.

He can choose from a small cone, a medium cone or a large cone.

There are 15 flavours.

He can have his ice cream with chocolate, caramel or strawberry sauce or without sauce.

How many different combinations are there?

Jack goes to buy an Italian ice cream.

He can choose from a small cone, a medium cone, a large cone or a giant cone.

There are 10 flavours.

He can have his ice cream with chocolate, caramel or strawberry sauce or without sauce.

He can have it with or without a wafer.

How many different combinations are there?

• Question 1

Jack goes to buy an Italian ice cream.

He can choose from a small cone or a large cone.

There are 20 flavours.

How many different combinations are there?

40
• Question 2

Jack goes to buy an Italian ice cream.

He can choose from a small cone or a large cone.

There are 25 flavours.

How many different combinations are there?

50
• Question 3

Jack goes to buy an Italian ice cream.

He can choose from a small cone, a medium cone or a large cone.

There are 25 flavours.

How many different combinations are there?

75
• Question 4

Jack goes to buy an Italian ice cream.

He can choose from a small cone, a medium cone or a large cone.

There are 15 flavours.

How many different combinations are there?

45
• Question 5

Jack goes to buy an Italian ice cream.

He can choose from a small cone, a medium cone or a large cone.

There are 10 flavours.

He can have his ice cream with chocolate or strawberry sauce or without sauce.

How many different combinations are there?

90
• Question 6

Jack goes to buy an Italian ice cream.

He can choose from a small cone, a medium cone or a large cone.

There are 15 flavours.

He can have his ice cream with chocolate or strawberry sauce or without sauce.

How many different combinations are there?

135
• Question 7

Jack goes to buy an Italian ice cream.

He can choose from a small cone or a large cone.

There are 12 flavours.

He can have his ice cream with chocolate, caramel or strawberry sauce or without sauce.

How many different combinations are there?

96
• Question 8

Jack goes to buy an Italian ice cream.

He can choose from a small cone, a medium cone or a large cone.

There are 12 flavours.

He can have his ice cream with chocolate, caramel or strawberry sauce or without sauce.

How many different combinations are there?

144
• Question 9

Jack goes to buy an Italian ice cream.

He can choose from a small cone, a medium cone or a large cone.

There are 15 flavours.

He can have his ice cream with chocolate, caramel or strawberry sauce or without sauce.

How many different combinations are there?

180
• Question 10

Jack goes to buy an Italian ice cream.

He can choose from a small cone, a medium cone, a large cone or a giant cone.

There are 10 flavours.

He can have his ice cream with chocolate, caramel or strawberry sauce or without sauce.

He can have it with or without a wafer.

How many different combinations are there?

320
EDDIE SAYS
4 x 10 x 4 x 2
---- OR ----

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