Edexcel IGCSE Maths January 2020 Paper 1F: 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. Electronic calculators · 2 marks

   Leah types \(12 + 8 \div 4\) into her calculator and gets 14. She wanted to work out \(\frac{12 + 8}{4}\).

   (a) Explain her mistake.

   (b) Work out the answer she wanted.

   Worked answer

   1. (a) The calculator follows the order of operations, so it works out 8 ÷ 4 = 2 first, then 12 + 2 = 14.
   2. (b) (12 + 8) ÷ 4 = 20 ÷ 4 = 5.

   Answer: (a) she needed brackets round \(12 + 8\) (b) \(5\)

2. 3D shapes and volume · 3 marks

   A triangular prism is 10 cm long. Its cross-section is a right-angled triangle with sides 3 cm, 4 cm and 5 cm.

   Work out the total surface area of the prism.

   Worked answer

   1. Two triangles: 2 × ½ × 3 × 4 = 12 cm² (the right angle is between the 3 cm and 4 cm sides).
   2. Three rectangles: 3 × 10 + 4 × 10 + 5 × 10 = 120 cm².
   3. Total = 132 cm².

   Answer: \(132\) cm\(^2\)

3. Transformation geometry · 2 marks

   Triangle \(A\) has vertices \((1, 2)\), \((3, 2)\) and \((3, 5)\). Triangle \(B\) has vertices \((1, -2)\), \((3, -2)\) and \((3, -5)\).

   Describe fully the single transformation that maps triangle \(A\) onto triangle \(B\).

   Worked answer

   1. Each x-coordinate stays the same and each y-coordinate changes sign.
   2. That is a reflection in the x-axis.

   Answer: A reflection in the \(x\)-axis (the line \(y = 0\))

More on these topics: Electronic calculators · 3D shapes and volume · 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).