Mathematics
International Advanced Subsidiary/Advanced Level Pure
Mathematics P1 2022 Solved(Graded A+)
Candidates may use any calculator permitted by Pearson regulations.
Calculators must not have the facility for symbolic algebra manipulation,
differentiation and integration, or have retrievable mathematical formulae
stored in them.
Instructions
•• Use black ink or ball-point pen.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fill in the
centre boxes
number andatcandidate
the top ofnumber.
this page with your name,
• Answer all questions and ensure that your answers to parts of questions are
• Answer
clearly labelled.
the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear. Answers without
• Inexact answers should be given to three significant figures unless otherwise stated.
working may not gain full credit.
Information
••• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
are 10 questions in this question paper. The total mark for this paper is 75.
The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.
•• Try to answer every question.
Check your answers if you have time at the end.
Turn over
P70482A
©2022 Pearson Education Ltd.
L:1/1/1/1/
, Leave
blank
fi
1. Find
8x3 2
5 − 4 − 1 dx
3x
1 da
ta 35
giving each term in simplest form.
(4)
E 0313 n
d
ya t
423 se t c
2
, Leave
blank
Question 1 continued
Q1
(Total 4 marks)
3
, Leave
Af(x) = 11 – 4x – 2x 222 42
blank
2. o
y
intercept
2
flu 11
(a) Express f(x) in the form f a 2 22 223 11
62 12 3 1
R 11
Ca 13 264112 a + b(x + c)2
fee 2 Catt
where a, b and c are integers to be found. EFF (3)
262132 2 11
(b) Sketch the graph of the curve C with equation y = f(x), showing clearly the coordinates
of the point where the curve crosses the y-axis.
(2)
(c) Write down the equation of the line of symmetry of C.
(1)
4