Proof (AQA A-Level Mathematics): Quizzes

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Proof by Deduction
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What is proof used for in mathematics?

To test if statements are true or not

What does the symbol ⇒\Rightarrow mean in mathematical proof?

implies that

Why is x2=9⇏x=3x^2=9\not\Rightarrow x=3 true?

Because xx could be ±3\pm 3

What does the symbol ⇔\Leftrightarrow represent?

if and only if

Which form represents an even number, where nn is an integer?

2n2n

Which form represents an odd number, where nn is an integer?

2n+12n+1

When proving with consecutive numbers, what letter strategy should you use?

Use same letter, e.g., n,n+1n, n+1

What is the sum of two even numbers 2n2n and 2m2m?

Even

What is the product of two odd numbers?

Odd

For P:x2+x−2=0P: x^2+x-2=0 and Q:x=1Q: x=1, what is the relationship?

P⇐QP\Leftarrow Q

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