Pearson Edexcel International GCSE 4MA1/1HR Mathematics A PAPER 1HR Higher Tier QP + MS JUNE 2024

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Centre Number Candidate Number




Pearson Edexcel International GCSE
Thursday 16 May 2024
Morning (Time: 2 hours) Paper
reference 4MA1/1HR
Mathematics A
 


PAPER 1HR
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.
• Answer the questions in the spaces provided
– there may 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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, International GCSE Mathematics
Formulae sheet – Higher Tier




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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




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b a Cosine Rule a2 = b2 + c2 – 2bc cos 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
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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




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, Answer ALL TWENTY THREE questions.
Write your answers in the spaces provided.
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You must write down all the stages in your working.

1 Here are six cards.
Five of the cards have a number written on them.



16 15 3 2 9




Work out the number that should be written on the last card so that the mean of the six
numbers will be 11
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. . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .


(Total for Question 1 is 3 marks)




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, 2 Here is a biased spinner.




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3 4

2 5
1

The table gives information about the probability that, when the spinner is spun once,
it will land on each number.

Number 1 2 3 4 5

Probability 2x 0.27 0.04 x 0.12

Alexis is going to spin the spinner 400 times.
Work out an estimate for the number of times the spinner will land on an odd number.




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(Total for Question 2 is 4 marks)




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