May/June 2026 Paper 31

2026 · 11 questions · 20 parts · 75 marks

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Finish set
Q1
1
–/4 mks
Q2
2
–/5 mks
Q3
3
–/6 mks
Q4
4
–/5 mks
Q5
5(a)5(b)
–/7 mks
Q6
6(a)6(b)6(c)6(d)
–/10 mks
Q7
7(a)7(b)
–/6 mks
Q8
8
–/6 mks
Q9
9(a)9(b)
–/7 mks
Q10
10(a)10(b)(i)10(b)(ii)
–/10 mks
Q11
11(a)11(b)
–/9 mks
Context for question 7
An Argand diagram showing a circle centred at $-3-\mathrm i$ with radius 2, crossing the real axis at $\mathrm{Re}(z)=-5$ and $\mathrm{Re}(z)=-1$, and a vertical line at $\mathrm{Re}(z)=-2$. The shaded region, which includes both boundaries, is the part of the circle's interior lying on or to the right of the line.
The shaded region on the Argand diagram shows points representing the complex numbers, , defined by two inequalities. The shaded region is bounded by the circle and the line parallel to the imaginary axis shown in the diagram and includes its boundaries.
7(a)Loci Regions Argand DiagramsMedium3 marks
Find two inequalities in terms of that define the shaded region.
Inequality for the straight line
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Inequality for the circle
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7(b)Loci Regions Argand DiagramsHard3 marks
Calculate the greatest value of for points in the shaded region.
Working
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