Edexcel IGCSE Maths June 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. Similarity · 1 marks

   Is a rectangle 3 cm by 5 cm similar to a rectangle 6 cm by 9 cm? Give a reason for your answer.

   Worked answer

   1. For similar shapes every pair of corresponding sides has the same scale factor.
   2. 6 ÷ 3 = 2 but 9 ÷ 5 = 1.8, so they are not similar.

   Answer: No: \(6 \div 3 = 2\) but \(9 \div 5 = 1.8\)

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. Statistical measures · 4 marks

   The table shows the number of goals scored in 20 matches.

   Goals: 0, 1, 2, 3, 4

   Frequency: 4, 7, 6, 2, 1

   Find (a) the mode (b) the median (c) the mean number of goals.

   Worked answer

   1. (a) 1 goal has the highest frequency (7).
   2. (b) The median is between the 10th and 11th values. The first 4 are 0 and the next 7 (5th to 11th) are 1, so the median is 1.
   3. (c) Total goals = 0 + 7 + 12 + 6 + 4 = 29; mean = 29 ÷ 20 = 1.45.

   Answer: (a) \(1\) (b) \(1\) (c) \(1.45\)

More on these topics: Similarity · Transformation geometry · 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).