surname names
Number Number
Mathematics
� �
Advanced
PAPER 1: Pure Mathematics 1
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 16 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.
Advice
Read each question carefully before you start to answer it.
• Check your answers if you have time at the end. Turn over
,1. The point P(6, –4) lies on the curve with equation y = f(x), x R
Find the point to which P is mapped when the curve with equation y = f(x) is
transformed to the curve with equation
(a) y = f(x + 2)
(1)
(b) y = f –1(x)
(1)
(c) y = 2½f(x)½ – 3
(2)
2
■■■■
,Question 1 continued
(Total for Question 1 is 4 marks)
3
■■■■ Turn over
, 2. The circle C has equation
(x + 3)2 + ( y – 4)2 = 24
(a) (i) State the coordinates of the centre of C.
(ii) Find the radius of C writing your answer as a fully simplified surd.
(3)
(b) Determine, giving a reason, whether or not the origin lies inside the circle C.
(2)
4
■■■■
Number Number
Mathematics
� �
Advanced
PAPER 1: Pure Mathematics 1
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 16 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.
Advice
Read each question carefully before you start to answer it.
• Check your answers if you have time at the end. Turn over
,1. The point P(6, –4) lies on the curve with equation y = f(x), x R
Find the point to which P is mapped when the curve with equation y = f(x) is
transformed to the curve with equation
(a) y = f(x + 2)
(1)
(b) y = f –1(x)
(1)
(c) y = 2½f(x)½ – 3
(2)
2
■■■■
,Question 1 continued
(Total for Question 1 is 4 marks)
3
■■■■ Turn over
, 2. The circle C has equation
(x + 3)2 + ( y – 4)2 = 24
(a) (i) State the coordinates of the centre of C.
(ii) Find the radius of C writing your answer as a fully simplified surd.
(3)
(b) Determine, giving a reason, whether or not the origin lies inside the circle C.
(2)
4
■■■■
