May/June 2026 Paper 11

2026 · 11 questions · 19 parts · 75 marks

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Finish set
Q1
1
–/4 mks
Q2
2(a)(i)2(a)(ii)2(b)
–/5 mks
Q3
3
–/3 mks
Q4
4
–/5 mks
Q5
5
–/5 mks
Q6
6
–/6 mks
Q7
7(a)7(b)
–/8 mks
Q8
8
–/8 mks
Q9
9(a)9(b)(i)9(b)(ii)
–/11 mks
Q10
10(a)10(b)10(c)(i)10(c)(ii)
–/11 mks
Q11
11
–/9 mks
Context for question 7
sector ACD of a circle with centre C, showing radii CA and CD each of length 2r, with B the midpoint of AC (so AB = BC = r) and the chord BD = r times the square root of 7 drawn from B to D; the shaded region is bounded by segment AB, segment BD and the arc from D back to A, and excludes triangle BCD, so C itself lies outside the shaded region.
The diagram shows a sector of a circle with centre and radius . The midpoint of is . The length of is .
7(a)Radians Circular MeasureMedium4 marks
Find the exact perimeter of the shaded region. Give your answer in terms of and .
Working
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7(b)Radians Circular MeasureMedium4 marks
Find the exact area of the shaded region. Give your answer in terms of and .
Working
0 words