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May 2025 Pearson Edexcel: GCSE (9–1)
Number Number Mathematics IMAI/IH – Paper 1 (Non-
Calculator) – Higher Tier – Merged Question
Paper & Mark Scheme
Morning (Time: 1 hour 30 minutes)
Mathematics
🟐 🟐
PAPER 1 (Non-Calculator)
Higher Tier
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).
• centre
Fill in the boxesand
number at the top of this
candidate page with your name,
number.
•• Answer
Answer all
thequestions.
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/
, 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
.......................................................
(Total for Question 1 is 2 marks)
DO NOT WRITE IN THIS AREA
2
■■■■
, 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
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.
DO NOT WRITE IN THIS AREA
.......................................................
(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)
3
■■■■ Turn over
, 3 (a) Complete the table of values for y = x2 + 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 = x2 + x – 4 for values of x from –3 to 2
y
DO NOT WRITE IN THIS AREA
3
2
1
–3 –2 –1 O 1 2 x
–1
–2
–3
–4
–5 DO NOT WRITE IN THIS AREA
(2)
(c) Write down the coordinates of the turning point of the graph of y = x2 + x – 4
( ....... ........... ......... ,................... )
(1)
(Total for Question 3 is 5 marks)
4
■■■■
May 2025 Pearson Edexcel: GCSE (9–1)
Number Number Mathematics IMAI/IH – Paper 1 (Non-
Calculator) – Higher Tier – Merged Question
Paper & Mark Scheme
Morning (Time: 1 hour 30 minutes)
Mathematics
🟐 🟐
PAPER 1 (Non-Calculator)
Higher Tier
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).
• centre
Fill in the boxesand
number at the top of this
candidate page with your name,
number.
•• Answer
Answer all
thequestions.
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/
, 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
.......................................................
(Total for Question 1 is 2 marks)
DO NOT WRITE IN THIS AREA
2
■■■■
, 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
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.
DO NOT WRITE IN THIS AREA
.......................................................
(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)
3
■■■■ Turn over
, 3 (a) Complete the table of values for y = x2 + 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 = x2 + x – 4 for values of x from –3 to 2
y
DO NOT WRITE IN THIS AREA
3
2
1
–3 –2 –1 O 1 2 x
–1
–2
–3
–4
–5 DO NOT WRITE IN THIS AREA
(2)
(c) Write down the coordinates of the turning point of the graph of y = x2 + x – 4
( ....... ........... ......... ,................... )
(1)
(Total for Question 3 is 5 marks)
4
■■■■
