Stuvia.com - The Marketplace to Buy and Sell your Study Material
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
••• Use If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).Fill
in the boxescentre number and candidate number.black ink or ball-point pen. at the top of
this page with your name,
• Answer are clearly labelled.all questions and ensure that your answers to parts of
questions
Downloaded by: brianryan1 |
insta: s_ihsan98 latest papers and markschemes
, Stuvia.com - The Marketplace to Buy and Sell your Study Material
• 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.
Information
••• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.There are 15 questions
in this question paper. The total mark for this paper is 100.The marks for – use this as a guide as to how
much time to spend on each questioneach question are shown in brackets .
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
P68731A
*P68731A0152*
©2021 Pearson Education Ltd.
A:1/1/1/1/1/ Distribution of this document is illegal
1. f (x) = ax3 + 10x2 − 3ax − 4
Given that (x − 1) is a factor of f (x), find the value of the constant a.
You must make your method clear.
(3)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
2
insta: s_ihsan98 latest papers and markschemes
, Stuvia.com - The Marketplace to Buy and Sell your Study Material
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
Downloaded by: brianryan1 |
Distribution of this document is illegal
Question 1 continued
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
3
insta: s_ihsan98 latest papers and markschemes
, Stuvia.com - The Marketplace to Buy and Sell your Study Material
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
(Total for Question 1 is 3 marks)
Downloaded by: brianryan1 |
Distribution of this document is illegal
2. Given that
f (x) = x2 − 4x + 5 x∈
(a) express f (x) in the form (x + a)2 + b where a and b are integers to be found.
(2)
The curve with equation y = f (x)
4
insta: s_ihsan98 latest papers and markschemes
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
••• Use If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).Fill
in the boxescentre number and candidate number.black ink or ball-point pen. at the top of
this page with your name,
• Answer are clearly labelled.all questions and ensure that your answers to parts of
questions
Downloaded by: brianryan1 |
insta: s_ihsan98 latest papers and markschemes
, Stuvia.com - The Marketplace to Buy and Sell your Study Material
• 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.
Information
••• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.There are 15 questions
in this question paper. The total mark for this paper is 100.The marks for – use this as a guide as to how
much time to spend on each questioneach question are shown in brackets .
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
P68731A
*P68731A0152*
©2021 Pearson Education Ltd.
A:1/1/1/1/1/ Distribution of this document is illegal
1. f (x) = ax3 + 10x2 − 3ax − 4
Given that (x − 1) is a factor of f (x), find the value of the constant a.
You must make your method clear.
(3)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
2
insta: s_ihsan98 latest papers and markschemes
, Stuvia.com - The Marketplace to Buy and Sell your Study Material
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
Downloaded by: brianryan1 |
Distribution of this document is illegal
Question 1 continued
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
3
insta: s_ihsan98 latest papers and markschemes
, Stuvia.com - The Marketplace to Buy and Sell your Study Material
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
(Total for Question 1 is 3 marks)
Downloaded by: brianryan1 |
Distribution of this document is illegal
2. Given that
f (x) = x2 − 4x + 5 x∈
(a) express f (x) in the form (x + a)2 + b where a and b are integers to be found.
(2)
The curve with equation y = f (x)
4
insta: s_ihsan98 latest papers and markschemes