Please write clearly in block capitals.
Centre number Candidate number
Surname __________________________________________________________________________
Forename(s) __________________________________________________________________________
Candidate signature __________________________________________________________________________
I declare this is my own work.
AQA A level SUMMER 2026
MATHEMATICS PREDICTED PAPER
Paper 1
Time allowed: 2 hours
Materials
l You must have the AQA Formulae for A‑level Mathematics booklet.
l You should have a graphical or scientific calculator that meets the
requirements of the specification.
Instructions
l Use black ink or black ball-point pen. Pencil should only be used for drawing.
l Fill in the boxes at the top of this page.
l Answer all questions.
l You must answer each question in the space provided for that question.
l If you need extra space for your answer(s), use the lined pages at the end of
this book. Write the question number against your answer(s).
l Do not write outside the box around each page or on blank pages.
l Show all necessary working; otherwise marks for method may be lost.
l Do all rough work in this book. Cross through any work that you do not want
to be marked.
Information
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 100.
Advice
l Unless stated otherwise, you may quote formulae, without proof, from
the booklet.
l You do not necessarily need to use all the space provided.
,1 (a) A curve C has parametric equations
x = 2t 3 y = 4t − 1 t >0
dy
Find an expression for in terms of t .
dx
(3 marks)
(b) Find the equation of the normal to C at the point ( 16, 7) .
Give your answer in the form ax + by + c = 0 where a , b and c are integers to be found.
(5 marks)
for more: tyrionpapers.com
, 2 A petrol tanker is leaking petrol. The volume of petrol inside the petrol tanker is V litres,
which is decreasing over time t minutes.
The volume of petrol inside the tanker decreases at a rate proportional to the square of
its volume
The initial volume of petrol inside the tanker is 4000 litres
After 10 minutes, the volume of petrol in the tanker has dropped by 30%
By forming and solving a suitable differential equation, show that
⎛ a ⎞⎟
V = 4000 ⎜⎜ ⎟
⎝ 3t + b ⎠
where a and b are constants to be found.
Hence, describe what happens to the volume of petrol after a long time.
(8 marks)
for more: tyrionpapers.com
Centre number Candidate number
Surname __________________________________________________________________________
Forename(s) __________________________________________________________________________
Candidate signature __________________________________________________________________________
I declare this is my own work.
AQA A level SUMMER 2026
MATHEMATICS PREDICTED PAPER
Paper 1
Time allowed: 2 hours
Materials
l You must have the AQA Formulae for A‑level Mathematics booklet.
l You should have a graphical or scientific calculator that meets the
requirements of the specification.
Instructions
l Use black ink or black ball-point pen. Pencil should only be used for drawing.
l Fill in the boxes at the top of this page.
l Answer all questions.
l You must answer each question in the space provided for that question.
l If you need extra space for your answer(s), use the lined pages at the end of
this book. Write the question number against your answer(s).
l Do not write outside the box around each page or on blank pages.
l Show all necessary working; otherwise marks for method may be lost.
l Do all rough work in this book. Cross through any work that you do not want
to be marked.
Information
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 100.
Advice
l Unless stated otherwise, you may quote formulae, without proof, from
the booklet.
l You do not necessarily need to use all the space provided.
,1 (a) A curve C has parametric equations
x = 2t 3 y = 4t − 1 t >0
dy
Find an expression for in terms of t .
dx
(3 marks)
(b) Find the equation of the normal to C at the point ( 16, 7) .
Give your answer in the form ax + by + c = 0 where a , b and c are integers to be found.
(5 marks)
for more: tyrionpapers.com
, 2 A petrol tanker is leaking petrol. The volume of petrol inside the petrol tanker is V litres,
which is decreasing over time t minutes.
The volume of petrol inside the tanker decreases at a rate proportional to the square of
its volume
The initial volume of petrol inside the tanker is 4000 litres
After 10 minutes, the volume of petrol in the tanker has dropped by 30%
By forming and solving a suitable differential equation, show that
⎛ a ⎞⎟
V = 4000 ⎜⎜ ⎟
⎝ 3t + b ⎠
where a and b are constants to be found.
Hence, describe what happens to the volume of petrol after a long time.
(8 marks)
for more: tyrionpapers.com
