Edexcel IGCSE Maths January 2019 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. Graphs · 2 marks

   Write down the equation of the straight line that has gradient \(-2\) and passes through the point \((0, 5)\).

   Worked answer

   1. The gradient is m = −2.
   2. The line passes through (0, 5), so the y-intercept is c = 5.
   3. y = −2x + 5.

   Answer: \(y = -2x + 5\)

2. 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

3. Graphical representation of data · 3 marks

   There are 50 students in a year group: 22 boys and 28 girls. Each student walks or takes the bus to school. 25 students walk, and 12 of the girls walk.

   (a) How many boys walk to school?

   (b) How many girls take the bus?

   Worked answer

   1. (a) Walkers: 25 in total and 12 are girls, so 25 − 12 = 13 boys walk.
   2. (b) There are 28 girls and 12 walk, so 28 − 12 = 16 girls take the bus.

   Answer: (a) \(13\) (b) \(16\)

More on these topics: Graphs · Transformation geometry · Graphical representation of data

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).