Edexcel IGCSE Maths June 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. Ratio and proportion · 3 marks

   It takes 6 workers 15 days to build a wall. All the workers work at the same rate.

   (a) How long would it take 9 workers?

   (b) The wall must be built in 5 days. How many workers are needed?

   Worked answer

   1. The job takes 6 × 15 = 90 worker-days.
   2. (a) 90 ÷ 9 = 10 days.
   3. (b) 90 ÷ 5 = 18 workers.

   Answer: (a) \(10\) days (b) \(18\) workers

2. Construction · 2 marks

   Triangle \(ABC\) is to be constructed with \(AB = 8\) cm, angle \(BAC = 50°\) and angle \(ABC = 60°\).

   (a) Describe how to construct it with a ruler and a protractor.

   (b) Work out the size of angle \(ACB\).

   Worked answer

   1. (a) Draw AB 8 cm long. Use the protractor to draw a line at 50° from A and a line at 60° from B. C is where they cross.
   2. (b) 180 − 50 − 60 = 70°.

   Answer: (a) Draw \(AB\), measure \(50°\) at \(A\) and \(60°\) at \(B\); the lines meet at \(C\). (b) \(70°\)

3. Statistical measures · 4 marks

   The heights, \(h\) cm, of 25 plants are grouped:

   \(150 \lt h \le 155\): 3, \(155 \lt h \le 160\): 8, \(160 \lt h \le 165\): 10, \(165 \lt h \le 170\): 4

   (a) Work out an estimate for the mean height.

   (b) Explain why your answer is only an estimate.

   Worked answer

   1. (a) 152.5×3 + 157.5×8 + 162.5×10 + 167.5×4 = 457.5 + 1260 + 1625 + 670 = 4012.5.
   2. 4012.5 ÷ 25 = 160.5 cm.
   3. (b) We only know which class each height is in, so we assume each is at the midpoint.

   Answer: (a) \(160.5\) cm (b) the exact heights are not known, so the midpoints are used

More on these topics: Ratio and proportion · Construction · Statistical measures

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).