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AQA Level 2 Further Maths 2024 Paper 1 (8365/1) - 11th June [Exam Chat]

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AQA Level 2 Further Maths 2024 Paper 1 (8365/1) - 11th June [Exam Chat]


Welcome to the exam discussion thread for this exam. Introduce yourself! Let others know what you're aiming for in your exams, what you are struggling with in your revision or anything else.
Wishing you all the best of luck. :yy:

General Information

Date/Time: 11th Jun 2024/ PM
Length: 1h 45m
(edited 1 year ago)

Scroll to see replies

Reply 1

Does anyone have a nice way of remembering maxtrix transformations? e.g the 90deg. rotation etc
If you use the identity matrix and separate it into two vectors and use these as co ordinates (1,0) and (0,1) then you can apply the transformation to these co ordinates then convert them back into c ordinates and then input them into the matrix

Reply 3

Hi, what's the best way to revise for GCSE further maths exam. Just the past papers or any recommended website for topic wise questions . Pls advise
My school gave us these websites to use which both have questions and answers on each topic
https://corbettmaths.com/more/further-maths/
https://www.1stclassmaths.com/l2-further-maths

@Malini Madhavan
(edited 12 months ago)

Reply 5

Original post by agent_duck343
My school gave us these websites to use which both have questions and answers on each topic
https://corbettmaths.com/more/further-maths/
https://www.1stclassmaths.com/l2-further-maths
@Malini Madhavan

That's great. Thank you so much

Reply 6

Original post by agent_duck343
If you use the identity matrix and separate it into two vectors and use these as co ordinates (1,0) and (0,1) then you can apply the transformation to these co ordinates then convert them back into c ordinates and then input them into the matrix

Thank you!!

Reply 7

Original post by exemplary-conga
Does anyone have a nice way of remembering maxtrix transformations? e.g the 90deg. rotation etc

what i do is draw a small x and y axis out and mark these two points always on the graph no matter what transformation it is the points (0,1) and (1,0). they starting with the (1,0) always do the transformation on this point so for example if a do a transformation of 180 anticlockwise this point becomes (1,0) -----> (-1,0), i do the same thing for the other point so
(0,1)-----> (0,-1) now i put these two coordinates together, (-1,0) and (0,-1), so this will be the answer.

Reply 8

Original post by Malini Madhavan
Hi, what's the best way to revise for GCSE further maths exam. Just the past papers or any recommended website for topic wise questions . Pls advise
along side corbbetmatths try dr frost maths

Reply 9

I can only find a few past papers for the current spec which seems to have come in 2020. There are some pre-2020 papers available on what must have been an old spec as they are only 1 hour 30 minutes long. Does anyone know if the content for pre-2020 would still be applicable as prefer past paper practice to working through the maths websites

Reply 10

My calculator is a CASIO fx-991CW. One of my friends told me this wasn't allowed in the further maths exam, for some reason (possibly something to do with its capabilities for matrix calculations - I can't quite remember). I have searched through JCQ and AQA documents and can't find anything about this, although Casio themself claim the calculator is "allowed in every UK exam where a calculator can be used". I was wondering if anyone had any more information on this, just to put my mind at ease?

Reply 11

Original post by TobyAS
My calculator is a CASIO fx-991CW. One of my friends told me this wasn't allowed in the further maths exam, for some reason (possibly something to do with its capabilities for matrix calculations - I can't quite remember). I have searched through JCQ and AQA documents and can't find anything about this, although Casio themself claim the calculator is "allowed in every UK exam where a calculator can be used". I was wondering if anyone had any more information on this, just to put my mind at ease?

I think you should be fine. My teacher recommended that calculator along with the fx-991ex. So I'm sure its fine

Reply 12

does anyone else have three exams on this day? I've got chemistry, further maths and history 😓

Reply 13

Does anyone have any tips for trig identities. I am fine with everything but them. I understand them when get to the mark scheme but i can't figure out how to do it during the paper

Reply 14

Original post by zackyboii
Does anyone have any tips for trig identities. I am fine with everything but them. I understand them when get to the mark scheme but i can't figure out how to do it during the paper

You just need to do a tonne of questions, until you familiarise yourself with it tbh

Reply 15

Here are some practice questions for the AQA Level 2 Certificate in Further Mathematics!
I'll put the easier questions as the earlier questions.

Should you complete these questions and would like the answers, just reply to me and I'll post them on this stream for all to see.


Question 1.
(x + 1) is increased by 20%
Its value is now the same as (x + 6)

Find the value of x.
[3 marks]

Question 2.
The point (-6, -4) lies on a straight line with gradient 1.5

Work out the coordinates of the point where the line crosses the y-axis.
[2 marks]

Question 3.
p(x) = 3 - 4x2, x > 0

Find an expression for p-1(x)
[3 marks]

Question 4.
The circle C has equation (x + 4)2 + (y - 6)2 = 25

(i) Write down the coordinates of the centre of the circle C.
[1 mark]

(ii) Write down the radius of the circle C.
[1 mark]

Question 5.
A curve has equation y = 2x3 + 3x2 + 4x - 16

Find an expression for dy/dx
[The derivative.]
[2 marks]

Question 6.
Give the value of tan2(30°)
Choose from the following options.

0.25 1/3 0.5 0.75

[1 mark]

Question 7.
(3x + a)(5x - 4) 15x2 - 2x + b

Work out the values of a and b.
[2 marks]

Question 8.
ABC is a right-angled triangle with vertices A(-1, 5), B(-2, 5) and C(-1, 5.75)

Work out the length of BC.
[3 marks]

Question 9.
By using matrix multiplication, show that in the x-y plane,

a rotation, 90° anticlockwise about the origin, followed by

a reflection in the line y = x


is equivalent to a reflection in the x-axis.
[3 marks]

Question 10.
By using Pascal's triangle, expand and simplify fully the following expression:

(0.5 - 2x)5

[4 marks]

Question 11.
Rearrange the following expression to make e the subject of the formula:

ef = (5e + 4)/3

[3 marks]

Question 12.
Solve algebraically the set of simultaneous equations

6x2 - 3y2 = -10.5
4.5x - 2y = -1.75

[6 marks]

Question 13.
Without using a calculator, work out the value of (2552 - 2452)
[3 marks]

Question 14.
The point P lies on the circle with equation x2 + y2 = 16
The point P has coordinates (2, 2√3)

Work out the equation of the tangent to the circle at P.
Write your answer in the form x + ay = b, where a and b are constants.
[4 marks]

Question 15.
Triangle RST is a non right-angled triangle.

In triangle RST RS : ST = 1 : 4
Angle TRS = 135 degrees
Angle STR = θ degrees

Work out the exact value of sin(θ)
[4 marks]

Question 16.
Write 17 + 6x2 - 24x in the form a(x + b)2 + c, where a, b and c are integers.
[3 marks]

Question 17.
The curve y = x4 - 18x2 has three stationary points.

Work out the coordinates of these stationary points and determine their nature.
[6 marks]

Question 18.
Show that


[3 marks]


End of Questions

Reply 16

Here are some practice questions for the AQA Level 2 Certificate in Further Mathematics!
I'll put the easier questions as the earlier questions.
Should you complete these questions and would like the answers, just reply to me and I'll post them on this stream for all to see.

Question 1.
(x + 1) is increased by 20%
Its value is now the same as (x + 6)
Find the value of x.
[3 marks]

Question 2.
The point (-6, -4) lies on a straight line with gradient 1.5
Work out the coordinates of the point where the line crosses the y-axis.
[2 marks]

Question 3.
p(x) = 3 - 4x2, x > 0
Find an expression for p-1(x)
[3 marks]

Question 4.
The circle C has equation (x + 4)2 + (y - 6)2 = 25
(i) Write down the coordinates of the centre of the circle C.
[1 mark]

(ii) Write down the radius of the circle C.
[1 mark]

Question 5.
A curve has equation y = 2x3 + 3x2 + 4x - 16
Find an expression for dy/dx
[The derivative.]
[2 marks]

Question 6.
Give the value of tan2(30°)
Choose from the following options.
0.25 1/3 0.5 0.75

[1 mark]

Question 7.
(3x + a)(5x - 4) 15x2 - 2x + b
Work out the values of a and b.
[2 marks]

Question 8.
ABC is a right-angled triangle with vertices A(-1, 5), B(-2, 5) and C(-1, 5.75)
Work out the length of BC.
[3 marks]

Question 9.
By using matrix multiplication, show that in the x-y plane,

a rotation, 90° anticlockwise about the origin, followed by

a reflection in the line y = x


is equivalent to a reflection in the x-axis.
[3 marks]

Question 10.
By using Pascal's triangle, expand and simplify fully the following expression:
(0.5 - 2x)5

[4 marks]

Question 11.
Rearrange the following expression to make e the subject of the formula:
ef = (5e + 4)/3

[3 marks]

Question 12.
Solve algebraically the set of simultaneous equations
6x2 - 3y2 = -10.5
4.5x - 2y = -1.75

[6 marks]

Question 13.
Without using a calculator, work out the value of (2552 - 2452)
[3 marks]

Question 14.
The point P lies on the circle with equation x2 + y2 = 16
The point P has coordinates (2, 2√3)
Work out the equation of the tangent to the circle at P.
Write your answer in the form x + ay = b, where a and b are constants.
[4 marks]

Question 15.
Triangle RST is a non right-angled triangle.
In triangle RST RS : ST = 1 : 4
Angle TRS = 135 degrees
Angle STR = θ degrees
Work out the exact value of sin(θ)
[4 marks]

Question 16.
Write 17 + 6x2 - 24x in the form a(x + b)2 + c, where a, b and c are integers.
[3 marks]

Question 17.
The curve y = x4 - 18x2 has three stationary points.
Work out the coordinates of these stationary points and determine their nature.
[6 marks]

Question 18.
Show that

[3 marks]

End of Questions

ty for questions can u send answer pls

Reply 17

Original post by zackyboii
Does anyone have any tips for trig identities. I am fine with everything but them. I understand them when get to the mark scheme but i can't figure out how to do it during the paper

Search up the hand method on tik tok
Original post by Sam_1324
Search up the hand method on tik tok

thats for trig exact values not for trig identities

Reply 19

Answers
Hi all! Here are the answers for the Further Maths questions!

Let me know how you did! Areas that went poorly/areas that went well. General questions -> don't hesitate to ask!
Share your total marks! Just ask about a specific topic if you would like to clarify.

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