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Pearson Edexcel International GCSE Further Pure Mathematics PAPER 1 QP MAY 2024
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Pearson Edexcel International GCSE Further Pure Mathematics PAPER 1 QP MAY 2024

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  • October 4, 2024
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  • 2024/2025
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  • pearson edexcel international gcse further pure ma

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Please check the examination details below before entering your candidate information
Candidate surname Other names


Centre Number Candidate Number




Pearson Edexcel International GCSE
Tuesday 21 May 2024
Morning (Time: 2 hours) Paper
reference 4PM1/01
Further Pure Mathematics
🞍 🞍


PAPER 1



Calculators may be used. Total Marks



Pearson Edexcel International GCSE Further Pure Mathematics PAPER 1 QP MAY 2024
Instructions

•• Use black ink or ball-point pen.
Fill in the boxes at the top of this page with your name,
centre number and candidate number.
•• Answer all questions.
Without sufficient working, correct answers may be awarded no marks.
• Answer the questions in the spaces provided
• You
– there may be more space than you need.
must NOT write anything on the formulae page.
Anything you write on the formulae page will gain NO credit.

Information

•• The total mark for this paper is 100.
The marks for each question are shown in brackets
– 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


P76506A
©2024 Pearson Education Ltd.
F:1/1/1/1/1/1/

, International GCSE in Further Pure Mathematics Formulae sheet

Mensuration




DO NOT WRITE IN THIS AREA
Surface area of sphere = 4πr2
Curved surface area of cone = πr  slant height
4
Volume of sphere = πr3
3
Series
Arithmetic series
Sum to n terms, Sn 
n
2a  (n  1)d 
2
Geometric series
a(1  rn )
Sum to n terms, Sn 
(1  r)
a
Sum to infinity, S  r <1




DO NOT WRITE IN THIS AREA
 1 r
Binomial series
n(n  1) n(n  1) (n  r  1)
(1  x)n  1  nx  x2   xr  for x < 1, n 
2! r!

Calculus
Quotient rule (differentiation)
d  f ( x)  f' ( x)g( x)  f( x)g' ( x)

dx g( x) [g( x)]2

Trigonometry
Cosine rule
In triangle ABC: a2 = b2 + c2 – 2bc cos A
sin θ
tan θ 
DO NOT WRITE IN THIS AREA

cosθ
sin(A + B) = sin A cos B + cos A sin B sin(A – B) = sin A cos B – cos A sin B
cos(A + B) = cos A cos B – sin A sin B cos(A – B) = cos A cos B + sin A sin B
tan A  tan B tan A  tan B
tan( A  B)  tan( A  B) 
1  tan A tan B 1  tan A tan B
Logarithms
log x
loga x  b
logb a




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, Answer all TEN questions.

Write your answers in the spaces provided.
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You must write down all the stages in your working.
1 In triangle ABC, AB  2x cm, BC  3x cm and AC  4x cm

The area of triangle ABC is 50 cm2

Find, to 2 decimal places, the value of x
(4)

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(Total for Question 1 is 4 marks)


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, 2 f(x)  2x2  4x  9
Given that f(x) can be written in the form A  x  B   C, where A, B and C
2




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are integers,
(a) find the value of A, the value of B and the value of C
(3)
(b) Hence, or otherwise, find
1
(i) the value of x for which is a maximum
f(x)

1
(ii) the maximum value of
f(x)
(2)

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