Edexcel IGCSE Maths June 2022 Paper 1H: question paper and mark scheme (4MA1)

3 4MA1 questions like these, with worked solutions

Written and checked by us, not taken from the Pearson paper. Try each one, then tap "Worked solution" to see every step and its marks.

1. Algebraic Fractions

   Simplify ${\displaystyle \frac{x^2-9}{x^2+5x+6}}$.

   Worked solution

   1. Factorise the top: $(x-3)(x+3)$.
   2. Factorise the bottom: $(x+2)(x+3)$.
   3. Cancel $(x+3)$: ${\displaystyle \frac{x-3}{x+2}}$.

   Answer: ${\displaystyle \frac{x-3}{x+2}}$

2. Completing the Square

   Write $3x^2+12x-5$ in the form $a(x+b{)}^2+c$.

   Worked solution

   1. Factor 3 from the $x$ terms: $3(x^2+4x)-5$.
   2. $x^2+4x=(x+2{)}^2-4$.
   3. $3(x+2{)}^2-12-5=3(x+2{)}^2-17$.

   Answer: $3(x+2{)}^2-17$

3. Sets and Venn Diagrams

   In a class of 30, 18 study French, 15 study Spanish and 4 study neither. How many study both?

   Worked solution

   1. Studying at least one: $30-4=26$.
   2. Both $=18+15-26=7$.

   Answer: 7

More on these topics: Algebraic Fractions · Completing the Square · Sets and Venn Diagrams

What this paper covers

Both Higher tier papers can test the whole 4MA1 specification:

• 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
• Calculus

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).