Counting strategies (AQA GCSE Maths): Flashcards

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Counting strategies
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What are counting strategies?

Systematic methods to find all combinations or arrangements

Being systematic in counting means

Following an organized approach, not listing randomly

First step in systematic listing method

Identify the categories or positions you're working with

How many 3-digit numbers from cards 4, 5, 6?

6 possible combinations

How many badge combinations: 3 colors × 3 shapes?

9 combinations (3imes3=93 imes 3 = 9)

5 teams play each other once: total matches?

4+3+2+1=104 + 3 + 2 + 1 = 10 matches

Why show systematic working in exams?

Partial marks for correct method even if answer is wrong

How to avoid double-counting?

Use systematic order; each combination appears only once

When to use counting strategies?

Multiple categories, tournaments, 'how many ways' questions

Key principle for successful counting

Be systematic, not random

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