# Algebra: Playing with Number Puzzles

In this worksheet, students solve number problems by working algebraically.

Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Equations and Algebra

Difficulty level:

### QUESTION 1 of 10

In this worksheet, we will learn about using patterns to predict how shapes grow.

For Example:

Question:     How many squares are used in Pattern #100?

Answer:       If you double the number of white squares along one arm and add one grey square you will get the total number of squares.  Pattern #100 has 100 squares along one arm.

We can use the formula 2 x N +1  where N is the number of squares along one arm or the Pattern number.

This gives us   2 x 100 +1 = 201 squares

How many squares are in Pattern #21 ?

How many squares are in Pattern #29 ?

How many squares are in Pattern #72 ?

How many squares are in Pattern #61 ?

How many squares are in Pattern #53 ?

How many squares are in Pattern #75 ?

How many squares are in Pattern #86 ?

How many squares are in Pattern #96 ?

• Question 1

How many squares are in Pattern #21 ?

43
• Question 2

How many squares are in Pattern #29 ?

59
• Question 3

How many squares are in Pattern #72 ?

145
• Question 4

How many squares are in Pattern #61 ?

123
• Question 5

How many squares are in Pattern #53 ?

107
• Question 6

How many squares are in Pattern #75 ?

151
• Question 7

How many squares are in Pattern #86 ?

173
• Question 8

How many squares are in Pattern #96 ?

193
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