surname names
Number Number
Mathematics
� �
Advanced Subsidiary
PAPER 1: Pure Mathematics
Candidates may use any calculator allowed 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
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are
clearly labelled.
Answer the questions in the spaces provided
– there may be more space than you need.
You should show sufficient working to make your methods clear.
Answers without working may not gain full credit.
Inexact answers should be given to three significant figures unless otherwise stated.
• There are 15 questions in this question paper. The total mark for this paper is 100.
– use this as a guide as to how much time to spend on each question.
• Read each question carefully before you start to answer it.
• Check your answers if you have time at the end. Turn over
,1.
y
B (2, 7)
y=3
A (–1, 0)
O x
Figure 1
Figure 1 shows a curve with equation y = f (x)
The curve
• passes through the point A (–1, 0)
• has a maximum turning point at B (2, 7)
• has a horizontal asymptote with equation y = 3
On separate diagrams, sketch the curve with equation
(i) y = f (x + 2)
(3)
(ii) y = –f (x)
(3)
On each diagram, show clearly the coordinates of the points to which A and B are
transformed and the equation of the asymptote.
2
■■■■
,Question 1 continued
(Total for Question 1 is 6 marks)
3
■■■■ Turn over
, 5
2. The line l passes through the points A (–3, 0) and B , 22
2
(a) Find the equation of l giving your answer in the form y = mx + c where m and c are
constants.
(3)
y
B
C
l
R
A O x
Figure 2
Figure 2 shows the line l and the curve C, which intersect at A and B.
Given that
• C has equation y = 2x2 + 5x – 3
• the region R, shown shaded in Figure 2, is bounded by l and C
(b) use inequalities to define R.
(2)
4
■■■■
Number Number
Mathematics
� �
Advanced Subsidiary
PAPER 1: Pure Mathematics
Candidates may use any calculator allowed 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
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are
clearly labelled.
Answer the questions in the spaces provided
– there may be more space than you need.
You should show sufficient working to make your methods clear.
Answers without working may not gain full credit.
Inexact answers should be given to three significant figures unless otherwise stated.
• There are 15 questions in this question paper. The total mark for this paper is 100.
– use this as a guide as to how much time to spend on each question.
• Read each question carefully before you start to answer it.
• Check your answers if you have time at the end. Turn over
,1.
y
B (2, 7)
y=3
A (–1, 0)
O x
Figure 1
Figure 1 shows a curve with equation y = f (x)
The curve
• passes through the point A (–1, 0)
• has a maximum turning point at B (2, 7)
• has a horizontal asymptote with equation y = 3
On separate diagrams, sketch the curve with equation
(i) y = f (x + 2)
(3)
(ii) y = –f (x)
(3)
On each diagram, show clearly the coordinates of the points to which A and B are
transformed and the equation of the asymptote.
2
■■■■
,Question 1 continued
(Total for Question 1 is 6 marks)
3
■■■■ Turn over
, 5
2. The line l passes through the points A (–3, 0) and B , 22
2
(a) Find the equation of l giving your answer in the form y = mx + c where m and c are
constants.
(3)
y
B
C
l
R
A O x
Figure 2
Figure 2 shows the line l and the curve C, which intersect at A and B.
Given that
• C has equation y = 2x2 + 5x – 3
• the region R, shown shaded in Figure 2, is bounded by l and C
(b) use inequalities to define R.
(2)
4
■■■■
