Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
reference 9FM0/02
Paper
Time 1 hour 30 minutes
Further Mathematics
Advanced
PAPER 2: Core Pure Mathematics 2
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
A-LEVEL Pearson Edexcel Level 3 GCE
In A Level Further Mathematics (9FM0)2
Advanced Paper 02 Core Pure
Mathematics 2 summer exam question
paper
(AUTHENTIC MARKING SCHEME ATTACHED)
Turn over
P71801A *P71801A0132*
Q:1/1/1/1/1/
©2022 Pearson Education Ltd.
,1. A student was asked to answer the following:
For the complex numbers z = 3 – 3i and z = 3 + i , find the value of arg z1
1 2
z2
The student’s attempt is shown below.
–1 3 π
arg(z1) = tan =
Line 1 3 4
1 π
arg(z2) = tan–1 =
Line 2 3 6
arg z1 = arg(z1 )
Line 3 z2 arg(z2 )
π
3
Line 4
4
=
= π 2
6
The student made errors in line 1 and line 3
Correct the error that the student made in
(a) (i) line 1
(ii) line 3
(2)
z
(b) Write down the correct value of arg z 1
2
(1)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
2
*P71801A0232*
,Question 1 continued
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
(Total for Question 1 is 3 marks)
3
*P71801A0332* Turn over
, 2. In this question you must show all stages of your working.
A college offers only three courses: Construction, Design and Hospitality.
Each student enrols on just one of these courses.
In 2019, there was a total of 1110 students at this college.
There were 370 more students enrolled on Construction than Hospitality.
In 2020 the number of students enrolled on
• Construction increased by 1.25%
• Design increased by 2.5%
• Hospitality decreased by 2%
In 2020, the total number of students at the college increased by 0.27% to
2 significant figures.
(a) (i) Define, for each course, a variable for the number of students enrolled on that
course in 2019.
(ii) Using your variables from part (a)(i), write down three equations that model
this situation.
(4)
(b) By forming and solving a matrix equation, determine how many students were
enrolled on each of the three courses in 2019.
(4)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
4
*P71801A0432*
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
reference 9FM0/02
Paper
Time 1 hour 30 minutes
Further Mathematics
Advanced
PAPER 2: Core Pure Mathematics 2
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
A-LEVEL Pearson Edexcel Level 3 GCE
In A Level Further Mathematics (9FM0)2
Advanced Paper 02 Core Pure
Mathematics 2 summer exam question
paper
(AUTHENTIC MARKING SCHEME ATTACHED)
Turn over
P71801A *P71801A0132*
Q:1/1/1/1/1/
©2022 Pearson Education Ltd.
,1. A student was asked to answer the following:
For the complex numbers z = 3 – 3i and z = 3 + i , find the value of arg z1
1 2
z2
The student’s attempt is shown below.
–1 3 π
arg(z1) = tan =
Line 1 3 4
1 π
arg(z2) = tan–1 =
Line 2 3 6
arg z1 = arg(z1 )
Line 3 z2 arg(z2 )
π
3
Line 4
4
=
= π 2
6
The student made errors in line 1 and line 3
Correct the error that the student made in
(a) (i) line 1
(ii) line 3
(2)
z
(b) Write down the correct value of arg z 1
2
(1)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
2
*P71801A0232*
,Question 1 continued
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
(Total for Question 1 is 3 marks)
3
*P71801A0332* Turn over
, 2. In this question you must show all stages of your working.
A college offers only three courses: Construction, Design and Hospitality.
Each student enrols on just one of these courses.
In 2019, there was a total of 1110 students at this college.
There were 370 more students enrolled on Construction than Hospitality.
In 2020 the number of students enrolled on
• Construction increased by 1.25%
• Design increased by 2.5%
• Hospitality decreased by 2%
In 2020, the total number of students at the college increased by 0.27% to
2 significant figures.
(a) (i) Define, for each course, a variable for the number of students enrolled on that
course in 2019.
(ii) Using your variables from part (a)(i), write down three equations that model
this situation.
(4)
(b) By forming and solving a matrix equation, determine how many students were
enrolled on each of the three courses in 2019.
(4)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
4
*P71801A0432*
