Disproof by Counter Example (AQA A-Level Mathematics): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
How many counterexamples are needed to disprove a statement?
How many counterexamples are needed to disprove a statement?
One
What does 'one counterexample collapses an argument' mean?
What does 'one counterexample collapses an argument' mean?
A single counterexample disproves it
In Step 1, what keywords often indicate a general statement?
In Step 1, what keywords often indicate a general statement?
'all', 'every', 'for every'
In Step 2, what are you looking for to disprove a statement?
In Step 2, what are you looking for to disprove a statement?
One example that does not satisfy it
What is the counterexample to 'All multiples of 2 are multiples of 4'?
What is the counterexample to 'All multiples of 2 are multiples of 4'?
What value of disproves ' is always prime for '?
What value of disproves ' is always prime for '?
What does equal and why does it disprove the statement?
What does equal and why does it disprove the statement?
(not prime)
What is the counterexample to 'All prime numbers are odd'?
What is the counterexample to 'All prime numbers are odd'?
Why is a counterexample to 'All prime numbers are odd'?
Why is a counterexample to 'All prime numbers are odd'?
It's prime but even
After finding a counterexample, do you need to check all other cases?
After finding a counterexample, do you need to check all other cases?
No, one counterexample is enough