# Matchstick Patterns (1)

In this worksheet, students link matchstick problems to number sequences.

Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Sequences

Difficulty level:

### QUESTION 1 of 10

Matchstick problems are easy ways to create number sequences.

Look at this sequence of three matchstick patterns.

Count the number of matchsticks in each pattern to get the following results:

Pattern 1          4 matchsticks

Pattern 2          7 matchsticks

Pattern 3         10 matchsticks

Notice that the number of matchsticks increases by 3 each time.

This is because we are adding this shape each time:

We can therefore predict the following:

Pattern 4         13 matchsticks

Pattern 5         16 matchsticks

Pattern 6         19 matchsticks

Look at this matchstick pattern.

How many matchsticks are there in Pattern 3 ?

Look at this matchstick pattern.

How many matchsticks will there be in Pattern 4 ?

Look at this matchstick pattern.

How many matchsticks will there be in Pattern 7 ?

Look at this matchstick pattern.

How many matchsticks will there be in Pattern 10 ?

Look at this matchstick pattern.

How many matchsticks are there in Pattern 2 ?

Look at this matchstick pattern.

How many matchsticks are there in Pattern 3 ?

Look at this matchstick pattern.

How many matchsticks will there be in Pattern 4 ?

Look at this matchstick pattern.

How many matchsticks will there be in Pattern 5 ?

Look at this matchstick pattern.

How many matchsticks will there be in Pattern 7 ?

Look at this matchstick pattern.

How many matchsticks will there be in Pattern 10 ?

• Question 1

Look at this matchstick pattern.

How many matchsticks are there in Pattern 3 ?

10
• Question 2

Look at this matchstick pattern.

How many matchsticks will there be in Pattern 4 ?

13
• Question 3

Look at this matchstick pattern.

How many matchsticks will there be in Pattern 7 ?

22
• Question 4

Look at this matchstick pattern.

How many matchsticks will there be in Pattern 10 ?

31
• Question 5

Look at this matchstick pattern.

How many matchsticks are there in Pattern 2 ?

5
• Question 6

Look at this matchstick pattern.

How many matchsticks are there in Pattern 3 ?

7
• Question 7

Look at this matchstick pattern.

How many matchsticks will there be in Pattern 4 ?

9
• Question 8

Look at this matchstick pattern.

How many matchsticks will there be in Pattern 5 ?

11
• Question 9

Look at this matchstick pattern.

How many matchsticks will there be in Pattern 7 ?

15
• Question 10

Look at this matchstick pattern.

How many matchsticks will there be in Pattern 10 ?

21
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