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Exam (elaborations)

Edexcel GCSE Mathematics Higher Tier – Paper 1 (Non-Calculator) – June 2025 – Complete Exam Paper + Mark Scheme

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EDEXCEL JUNE 2025 GCSE MATHS PAPER 1 HIGHER TIER

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July 30, 2025
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Number of pages
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Written in
2024/2025
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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 Level 1/Level 2 GCSE (9–1)
Thursday 15 May 2025
Morning (Time: 1 hour 30 minutes) Paper
reference 1MA1/1H
Mathematics
 


PAPER 1 (Non-Calculator)
Higher Tier


You must have: Ruler graduated in centimetres and millimetres, Total Marks
protractor, pair of compasses, pen, HB or B pencil, eraser,
Formulae Sheet (enclosed). Tracing paper may be used.


Instructions
•• Use black ink or ball-point pen.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fill in the boxes at the top of this page with your name,
centre number and candidate number.
•• Answer all questions.
Answer the questions in the spaces provided
– there may be more space than you need.
•• You must show all your working.
Diagrams are NOT accurately drawn, unless otherwise indicated.
• Calculators may not be used.
Information
•• The total mark for this paper is 80
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.
Try to answer every question.
• Check your answers if you have time at the end.
Turn over


P76403A
©2025 Pearson Education Ltd.
Y:1/1/1/1/1/1/1/1/
*P76403A0120*
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, Answer ALL questions.
Write your answers in the spaces provided.




DO NOT WRITE IN THIS AREA
You must write down all the stages in your working.


1 Find the highest common factor (HCF) of 54 and 120




DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
. . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .


(Total for Question 1 is 2 marks)




2
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, 2 There are only red counters, white counters, blue counters and green counters in a bag.
Chris is going to take at random a counter from the bag.
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA




The table shows the probability that he will take a red counter and the probability that
he will take a white counter.


Colour red white blue green

Probability 0.3 0.1


There are twice as many blue counters as there are green counters in the bag.
(a) Work out the probability that Chris will take a blue counter.




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

(3)
There are 45 red counters in the bag.
(b) Work out the total number of counters in the bag.
DO NOT WRITE IN THIS AREA




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

(2)
(Total for Question 2 is 5 marks)




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, 3 (a) Complete the table of values for y = x 2 + x – 4




DO NOT WRITE IN THIS AREA
x –3 –2 –1 0 1 2

y 2 –4




(2)
(b) On the grid, draw the graph of y = x 2 + x – 4 for values of x from –3 to 2



y
3




DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
2

1


–3 –2 –1 O 1 2 x
–1

–2

–3

–4

–5



(2)
(c) Write down the coordinates of the turning point of the graph of y = x 2 + x – 4


(. . . . . . . . . . . . . . . . . . . . . . . . . . . , . . . . . . . . . . . . . . . . . . . . . . . . . . . )
(1)
(Total for Question 3 is 5 marks)




4



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