May/June 2026 Paper 11

2026 · 11 questions · 19 parts · 75 marks

0/75 marks

0Correct0Partial0Wrong19Unattempted

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–/4 mks

2(a)(i)2(a)(ii)2(b)

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–/5 mks

–/6 mks

–/8 mks

–/8 mks

9(a)9(b)(i)9(b)(ii)

–/11 mks

10(a)10(b)10(c)(i)10(c)(ii)

–/11 mks

–/9 mks

Context for question 9

Functions f and g are defined by

f (x) = x - 3 for x \in R,

g (x) = x^{3} - 8 a for x \in R,

where

a

is a positive constant.

9(a)Functions Composites InversesEasy2 marks

Find an expression for

g^{- 1} (x)

.

Context for 9(b)

It is given that

gf (- 1) + 20 a^{2} = 0

.

9(b)(i)Functions Composites InversesMedium4 marks

Find the value of

a

.

Working

0 words

9(b)(ii)Functions Composites InversesHard5 marks

Find the set of values of the constant

k

for which the equation

gf (x) = fg (x) + k

has no real solutions.

Working

0 words