Edexcel IGCSE Maths November 2020 Paper 2H: 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. Simultaneous Equations

   Solve $y=x-1$ and $x^2+y^2=13$.

   Worked solution

   1. Substitute: $x^2+(x-1{)}^2=13$.
   2. $2x^2-2x-12=0$, so $x^2-x-6=0$.
   3. $(x-3)(x+2)=0$: $x=3,y=2$ or $x=-2,y=-3$.

   Answer: $(3,2)$ and $(-2,-3)$

2. Sequences

   Find the sum of the first 25 terms of $5+8+11+\cdots$.

   Worked solution

   1. $a=5,d=3,n=25$.
   2. $S_n=\frac{n}{2}(2a+(n-1)d)=\frac{25}{2}(10+72)$.
   3. $=1025$.

   Answer: 1025

3. Volume and Surface Area

   Find the total surface area of a closed cylinder with radius 5 cm and height 8 cm.

   Worked solution

   1. Two circles: $2\pi \times 25=50\pi$.
   2. Curved surface: $2\pi \times 5\times 8=80\pi$.
   3. Total $130\pi =408$ cm² (3 s.f.).

   Answer: $130\pi \approx 408$ cm²

More on these topics: Simultaneous Equations · Sequences · Volume and Surface Area

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).