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Edexcel IGCSE Maths January 2023 Paper 1F: question paper and mark scheme (4MA1)

Foundation tier Paper 1F, sat in January 2023, with 2 versions (1F and 1FR): 2 h, 100 marks, calculator allowed. The buttons open Pearson's own files.

The official paper and mark scheme

Sit it under exam conditions: open the paper, press Start timer, press Finish when time is up, then mark it against the mark scheme.

Try 3 4MA1 questions like these

Written and checked by us, not taken from the Pearson paper. Tap "Worked answer" to see every step.

  1. Quadratic equations · 2 marks

    (a) Factorise \(x^2 + 10x + 16\)

    (b) Hence solve \(x^2 + 10x + 16 = 0\)

    Worked answer
    1. (a) 2 × 8 = 16 and 2 + 8 = 10.
    2. (b) x + 2 = 0 or x + 8 = 0.

    Answer: (a) \((x + 2)(x + 8)\) (b) \(x = -2\) or \(x = -8\)

  2. Graphs · 3 marks

    The line \(3x + 2y = 12\) crosses the \(x\)-axis at \(A\) and the \(y\)-axis at \(B\).

    (a) Find the coordinates of \(A\) and \(B\).

    (b) Find the coordinates of the midpoint of \(AB\).

    Worked answer
    1. (a) On the x-axis y = 0: 3x = 12, x = 4. On the y-axis x = 0: 2y = 12, y = 6.
    2. (b) Midpoint: ((4 + 0) ÷ 2, (0 + 6) ÷ 2) = (2, 3).

    Answer: (a) \(A(4, 0)\), \(B(0, 6)\) (b) \((2, 3)\)

  3. Probability · 2 marks

    A bag holds one red ball (R) and one blue ball (B). Zara takes a ball at random, puts it back, then takes a ball at random again.

    (a) List all the possible outcomes.

    (b) Find the probability that both balls are the same colour.

    Worked answer
    1. (a) List systematically: first ball R then B, each with the second ball R or B.
    2. (b) Same colour: RR and BB, 2 out of 4 = 1/2.

    Answer: (a) RR, RB, BR, BB (b) \(\frac{1}{2}\)

More on these topics: Quadratic equations · Graphs · Probability

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What this paper covers

Both Foundation tier papers can test the whole 4MA1 specification at Foundation level:

We haven't mapped this paper question by question yet, so here are our revision units for the whole specification. Each opens the practice for that unit.

Formula booklet

International GCSE Mathematics A formulae sheet (Higher tier) · Pearson Edexcel · 4MA1 specification, Appendix 5 (current)

4MA1 has no separate booklet: the Higher tier formulae sheet is printed inside every exam paper and in Appendix 5 of the specification (the link).

Official booklet (opens in a new tab)Our one-page formula sheet (IGCSE 4MA1)

Paper 1F in other series

Same series

All 4MA1 Foundation past papers →

Keep revising

4MA1 Higher past papers

Questions students ask

Where is the January 2023 Paper 1F mark scheme?

The mark scheme button above opens Pearson's own copy.

What are the grade boundaries for 4MA1 January 2023?

Pearson publishes the official boundaries for every series on its grade boundaries page (opens in a new tab). They are set for the qualification (both papers together), so we link there rather than quote them.

What is the difference between 1F and 1FR?

R papers are the version sat in some time zones. They follow the same specification, length and mark scheme style, so both are good practice.