Mathematics · OCR H240 · 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
  • 21 practice questions
  • 5 animated lessons
Practice questions (21) Lessons Worksheets coming soon All OCR Mathematics topics

What the specification says

Every sub-topic OCR 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.

  1. OT1.1Construct and present mathematical argumentsY13
  2. OT1.2Mathematical language and syntaxY13
  3. OT1.3Set notationY13
  4. OT1.4FunctionsY13
  5. 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 21 questions in this topic, free, no account needed.

Mathematical argument, language and proof

Easy

Set symbols · Year 12 · 1 mark

  1. What does the symbol Q\mathbb{Q} mean?
    (1)

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  1. N\mathbb{N}: natural numbers. Z\mathbb{Z}: integers. Q\mathbb{Q}: rationals. R\mathbb{R}: real numbers.BB: The set of rational numbers

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Mathematical argument, language and proof

Medium

Constructing an argument · Year 12 · 2 marks

  1. Show that the sum of the first nn odd numbers is n2n^{2}.
    (2)
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  1. Arithmetic series.1+3+⋯+(2n−1)1 + 3 + \cdots + (2n - 1)=n2(1+(2n−1)){}= \frac{n}{2}(1 + (2n - 1))
  2. =n2= n^2

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