 # 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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