Pearson Edexcel International GCSE 4MA1/1H Mathematics A PAPER 1H Higher Tier May 2025 Questions Paper + Markscheme

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Pearson Edexcel International GCSE
Thursday 15 May 2025
Morning (Time: 2 hours) Paper
reference 4MA1/1H
Mathematics A
 


PAPER 1H
Higher Tier


You must have: Ruler graduated in centimetres and millimetres, Total Marks
protractor, pair of compasses, pen, HB pencil, eraser, calculator.
Tracing paper may be used.


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.
• – there may questions
Answer the in the spaces provided
be more space than you need.
• Calculators may be used.
• You 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


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©2025 Pearson Education Ltd.
Y:1/1/1/1/1/1/
*P78903A0128*

, International GCSE Mathematics
Formulae sheet – Higher Tier




DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
Arithmetic series 1
n Area of trapezium = (a + b)h
Sum to n terms, Sn = [2a + (n – 1)d] 2
2
The quadratic equation a

The solutions of ax2 + bx + c = 0 where
a ¹ 0 are given by: h


b
b 2
4ac
x
2a b

Trigonometry In any triangle ABC
C a b c
Sine Rule = =
sin A sin B sin C

b a Cosine Rule a2 = b2 + c2 – 2bccos A
1
Area of triangle = ab sin C
A B 2
c

1 2 Volume of prism
Volume of cone = πr h = area of cross section × length
3
Curved surface area of cone = πrl



l cross
h section

length
r

Volume of cylinder = πr2h 4 3
Curved surface area Volume of sphere = πr
3
of cylinder = 2πrh
Surface area of sphere = 4πr2
r

r
h




2
*P78903A0228* 

, Answer ALL TWENTY FIVE questions.
Write your answers in the spaces provided.
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA




You must write down all the stages in your working.

1 The table gives information about the distances 100 adults travel to work.


Distance (d km) Frequency

0<d 5 26

5 < d  10 40

10 < d  15 16

15 < d  20 10

20 < d  25 8

(a) Write down the modal class.


.......................................................

(1)
(b) Work out an estimate for the mean distance.




. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . km
(4)
(Total for Question 1 is 5 marks)

3
 *P78903A0328* Turn over

, 2 Anna makes cups.
Each cup costs 6 Swiss francs to make.




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Anna puts the cups into boxes to sell.
Each box contains 4 cups.
Anna sells 80 boxes of cups for a total of 2160 Swiss francs.
(a) Work out the percentage profit Anna makes.
Show your working clearly.




. . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . %
(4)
The height of each cup is 9 cm, correct to the nearest cm
(b) Write down the lower bound of the height.




. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . cm
(1)
The weight of each cup is 120 g, correct to the nearest 10 g
(c) Write down the upper bound of the weight.




....................................................... g
(1)
(Total for Question 2 is 6 marks)


4



*P78903A0428* 