Edexcel IGCSE Maths November 2021 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. Standard form · 2 marks

   The distance from the Earth to the Sun is about \(1.5 \times 10^8\) km. Light travels at about \(3 \times 10^5\) km per second.

   How many seconds does light take to travel from the Sun to the Earth?

   Worked answer

   1. Time = distance ÷ speed.
   2. 1.5 ÷ 3 = 0.5 and 10⁸ ÷ 10⁵ = 10³, so 0.5 × 10³ = 500 seconds.

   Answer: \(500\) seconds

2. Angles, lines and triangles · 3 marks

   In triangle \(PQR\), angle \(P = (2x + 10)°\), angle \(Q = (3x - 5)°\) and angle \(R = (x + 25)°\).

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

   (b) Work out the size of the largest angle.

   Worked answer

   1. (a) 6x + 30 = 180, so 6x = 150 and x = 25.
   2. (b) P = 60°, Q = 70°, R = 50°, so the largest is 70°.

   Answer: (a) \(x = 25\) (b) \(70°\)

3. Transformation geometry · 4 marks

   Triangle \(P\) has vertices \((2, 2)\), \((4, 2)\) and \((2, 3)\). Triangle \(Q\) has vertices \((2, 2)\), \((8, 2)\) and \((2, 5)\).

   (a) Describe fully the single transformation that maps triangle \(P\) onto triangle \(Q\).

   (b) Which stay the same under this transformation: the angles or the side lengths?

   Worked answer

   1. (a) The side along y = 2 goes from length 2 to length 6, so the scale factor is 3.
   2. (2, 2) does not move, so it is the centre: (4, 2) is 2 right of it and its image (8, 2) is 6 right; (2, 3) is 1 up and its image (2, 5) is 3 up.
   3. (b) An enlargement keeps the angles but changes the lengths.

   Answer: (a) an enlargement, scale factor \(3\), centre \((2, 2)\) (b) the angles

More on these topics: Standard form · Angles, lines and triangles · Transformation geometry

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).