Further Mathematics · Pearson Edexcel 9FM0 · Topic OT1

Mathematical argument, language and proof

Writing clear mathematical arguments: correct notation, logic words such as 'implies', set notation and functions. Applies to every paper.

5 sub-topics
Taught in Year 13
29 practice questions
5 animated lessons

Practice questions (29) Lessons Worksheets All Edexcel Further Mathematics topics

What the specification says

Every sub-topic Pearson Edexcel can examine in this topic, with its reference number from the official specification. The Y12 and Y13 tags show when each sub-topic is usually taught.

OT1.1Construct and present mathematical argumentsY13
OT1.2Mathematical language and syntaxY13
OT1.3Set notationY13
OT1.4FunctionsY13
OT1.5Critique arguments and proofsY13

Try 2 questions

Easy and medium questions from this topic, each with a worked solutions and the mark for every step. All 29 questions in this topic, free, no account needed.

Mathematical argument, language and proof

Easy

Methods of proof · Year 12 · 1 mark

What is proof by exhaustion?
(1)

Show worked solutionHide worked solution

A single counter-example is enough to disprove a statement, but no number of examples proves one. $D$ : Checking every possible case separately

Total1

MMethod mark: for a correct method, even with a slip.
AAccuracy mark: for a correct answer from a correct method.
BIndependent mark: for a correct fact or result on its own, with no method needed.

How did it go?

Report a problem with this question

Mathematical argument, language and proof

Medium

Necessary and sufficient · Year 12 · 1 mark

Which is true of the two statements $x = 2$ and $x^2 = 4$ ?
(1)

Show worked solutionHide worked solution

$x = 2 \Rightarrow x^2 = 4$ , but $x^2 = 4$ is also true when $x = -2$ . $A$ : $x = 2$ is sufficient, but not necessary, for $x^{2} = 4$

Total1

MMethod mark: for a correct method, even with a slip.
AAccuracy mark: for a correct answer from a correct method.
BIndependent mark: for a correct fact or result on its own, with no method needed.

How did it go?

Report a problem with this question