Edexcel IGCSE Maths June 2023 Paper 2F: question paper and mark scheme (4MA1)

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. Trigonometry and Pythagoras' theorem · 4 marks

   A plane flies 120 km due north from \(A\) to \(B\), then 50 km due east from \(B\) to \(C\).

   (a) Work out the distance \(AC\).

   (b) Work out the bearing of \(C\) from \(A\), correct to the nearest degree.

   Worked answer

   1. (a) AC = √(120² + 50²) = √16 900 = 130 km.
   2. (b) The angle at A between north and AC is tan⁻¹(50 ÷ 120) = 22.6°.
   3. To the nearest degree the bearing is 023°.

   Answer: (a) \(130\) km (b) \(023°\)

2. Transformation geometry · 2 marks

   Write down the coordinates of the image of the point \((4, 1)\) after a reflection in

   (a) the line \(y = x\) (b) the line \(x = 2\).

   Worked answer

   1. (a) Reflecting in y = x swaps the coordinates: (1, 4).
   2. (b) (4, 1) is 2 units to the right of x = 2, so its image is 2 units to the left: (0, 1).

   Answer: (a) \((1, 4)\) (b) \((0, 1)\)

3. Probability · 3 marks

   A spinner can land on red, blue, green or yellow. The probabilities are: red 0.3, blue 0.25, green \(x\), yellow \(2x\).

   (a) Work out the value of \(x\).

   (b) Find the probability that the spinner lands on red or blue.

   Worked answer

   1. (a) The probabilities add up to 1: 0.55 + 3x = 1, so 3x = 0.45 and x = 0.15.
   2. (b) The outcomes are mutually exclusive, so add: 0.3 + 0.25 = 0.55.

   Answer: (a) \(x = 0.15\) (b) \(0.55\)

More on these topics: Trigonometry and Pythagoras' theorem · Transformation geometry · Probability

What this paper covers

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

• Numbers and the number system
• Equations, formulae and identities
• Sequences, functions and graphs
• Geometry and trigonometry
• Vectors and transformation geometry
• Statistics and probability

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.

• Number
• Algebra basics
• Equations & sequences
• Graphs & functions
• Geometry
• Statistics & probability
• Vectors & proof

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).