May/June 2026 Paper 22

2026 · 25 questions · 42 parts · 100 marks

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1(a)1(b)1(c)1(d)

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5(a)(i)5(a)(ii)5(b)

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22(a)(i)22(a)(ii)22(b)

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22(a)(i)Vector Geometry ProofsEasy2 marks

Parallelogram OABC, not to scale, with vector a along OA and vector c along OC; diagonal AC is drawn with point P on it, and O is joined to P

O A B C

is a parallelogram.

O A = a

and

O C = c

.

P

is a point on

A C

and

A P : P C = 1 : 4

.

Find, in terms of

a

and

c

, in its simplest form

22(a)(ii)Vector Geometry ProofsEasy1 mark

22(b)Vector Geometry ProofsMedium2 marks

Q

is a point on

A B

and

A Q = \frac{1}{4} c

.

Show that

O

,

P

and

Q

lie in a straight line.

Answer

0 words