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Algebra: Playing with Number Puzzles

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

'Algebra: Playing with Number Puzzles' worksheet

Key stage:  KS 2

Curriculum topic:  Maths and Numerical Reasoning

Curriculum subtopic:  Equations and Algebra

Difficulty level:  

Worksheet Overview

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 ? 

CORRECT ANSWER
43
  • Question 2

How many squares are in Pattern #29 ? 

CORRECT ANSWER
59
  • Question 3

How many squares are in Pattern #72 ? 

CORRECT ANSWER
145
  • Question 4

How many squares are in Pattern #61 ? 

CORRECT ANSWER
123
  • Question 5

How many squares are in Pattern #53 ? 

CORRECT ANSWER
107
  • Question 6

How many squares are in Pattern #75 ? 

CORRECT ANSWER
151
  • Question 7

How many squares are in Pattern #86 ? 

CORRECT ANSWER
173
  • Question 8

How many squares are in Pattern #96 ? 

CORRECT ANSWER
193
---- OR ----

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