AQA A-Level Mathematics- Proof / AQA AS MATHEMATICS Merged Question With Correct Answers

AQA A-Level Mathematics- Proof /
AQA AS MATHEMATICS Merged
Question With Correct Update

What does ≡ mean? - Correct Answer - that it is correct for all values of all variables

what does P => Q mean? - Correct Answer - P implies Q if P is true so is Q

what denotes an even number? - Correct Answer - 2n

what denotes an odd number? - Correct Answer - 2n+1

what does intersection mean? - Correct Answer - A and B the solution is in both

What does union mean? - Correct Answer - A u B means the solution is in both A or B

How do you answer a proof by deduction question? - Correct Answer - -Define variables
-Show a product for example
-Link to original statement
-Make a conclusion

How do we show something is a factor of 2? - Correct Answer - write as 2k where k is
anything

How to answer a proof by exhaustion question? - Correct Answer - substitute in every
number in the range applicable
then conclude if it is true or false

How to answer a disproof by counter example? - Correct Answer - -systematically check
numbers e.g. odd even prime
-statement and conclusion at the end

How to answer a proof by contradiction? - Correct Answer - assume opposite of the
statement is true and then disprove that statement
conclude after evidence found