surname names
Number Number
Paper
Mathematics A (Modular)
🟐 🟐
UNIT 1H
Higher Tier
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
– there may in thethan
be more space spaces
youprovided
need.
• Calculators may be used.
• Anything NOTwrite
You must you writeonanything on thepage
the formulae formulae page.
will gain NO credit.
Information
•• The total mark for this unit 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.
Pearson Edexcel International GCSE Mathematics A Modular
(4WM1H/01R) Question Paper And Mark Scheme 2025
, International GCSE Mathematics
Formulae sheet – Higher Tier
DO NOT WRITE IN THIS AREA
Arithmetic series 1
n Area of trapezium = (a + b)h
Sum to n terms, S = [2a + (n – 1)d] 2
n
2
The quadratic equation a
The solutions of ax2 + bx + c = 0 where
a ¹ 0 are given by: h
−b b2 − 4ac
x=
2a b
Trigonometry In any triangle ABC
C a b c
Sine Rule = =
sin A sin B sin C
DO NOT WRITE IN THIS AREA
b a Cosine Rule a2 = b2 + c2 – 2bc cos A
1
Area of triangle = ab sin C
2
A B
c
1 Volume of prism
Volume of cone = πr2h = area of cross section length
3
Curved surface area of cone = πrl
l cross
h section
length
r DO NOT WRITE IN THIS AREA
Volume of cylinder = πr2h 4
Curved surface area Volume of sphere = πr3
3
of cylinder = 2πrh
Surface area of sphere = 4πr2
r
r
h
2
■■■■
, Answer ALL TWENTY FOUR 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 The length of a ship is 142.8 m, correct to 1 decimal place.
(i) Write down the lower bound of the length of the ship.
.................................................................................... m
(1)
(ii) Write down the upper bound of the length of the ship.
DO NOT WRITE IN THIS AREA
.................................................................................... m
(1)
(Total for Question 1 is 2 marks)
1 5 6
2 Show that 2 1 = 3
4 7 7
DO NOT WRITE IN THIS AREA
(Total for Question 2 is 3 marks)
3
■■■■ Turn over
, 3 Here is a biased 5-sided spinner.
When the spinner is spun, it can land on blue or on green or on purple or on red or
on yellow.
DO NOT WRITE IN THIS AREA
blue
yellow green
red purple
The table gives information about the probability of the spinner landing on each colour.
Colour blue green purple red yellow
Probability 0.12 0.20 0.38 4x x
DO NOT WRITE IN THIS AREA
Sophie spins the spinner once.
(a) Work out the probability that the spinner lands on blue or on green or on purple.
..............................................................
(1)
Max spins the spinner 350 times.
(b) Work out an estimate for the number of times the spinner lands on red.
DO NOT WRITE IN THIS AREA
..............................................................
(4)
(Total for Question 3 is 5 marks)
4
■■■■
Number Number
Paper
Mathematics A (Modular)
🟐 🟐
UNIT 1H
Higher Tier
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
– there may in thethan
be more space spaces
youprovided
need.
• Calculators may be used.
• Anything NOTwrite
You must you writeonanything on thepage
the formulae formulae page.
will gain NO credit.
Information
•• The total mark for this unit 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.
Pearson Edexcel International GCSE Mathematics A Modular
(4WM1H/01R) Question Paper And Mark Scheme 2025
, International GCSE Mathematics
Formulae sheet – Higher Tier
DO NOT WRITE IN THIS AREA
Arithmetic series 1
n Area of trapezium = (a + b)h
Sum to n terms, S = [2a + (n – 1)d] 2
n
2
The quadratic equation a
The solutions of ax2 + bx + c = 0 where
a ¹ 0 are given by: h
−b b2 − 4ac
x=
2a b
Trigonometry In any triangle ABC
C a b c
Sine Rule = =
sin A sin B sin C
DO NOT WRITE IN THIS AREA
b a Cosine Rule a2 = b2 + c2 – 2bc cos A
1
Area of triangle = ab sin C
2
A B
c
1 Volume of prism
Volume of cone = πr2h = area of cross section length
3
Curved surface area of cone = πrl
l cross
h section
length
r DO NOT WRITE IN THIS AREA
Volume of cylinder = πr2h 4
Curved surface area Volume of sphere = πr3
3
of cylinder = 2πrh
Surface area of sphere = 4πr2
r
r
h
2
■■■■
, Answer ALL TWENTY FOUR 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 The length of a ship is 142.8 m, correct to 1 decimal place.
(i) Write down the lower bound of the length of the ship.
.................................................................................... m
(1)
(ii) Write down the upper bound of the length of the ship.
DO NOT WRITE IN THIS AREA
.................................................................................... m
(1)
(Total for Question 1 is 2 marks)
1 5 6
2 Show that 2 1 = 3
4 7 7
DO NOT WRITE IN THIS AREA
(Total for Question 2 is 3 marks)
3
■■■■ Turn over
, 3 Here is a biased 5-sided spinner.
When the spinner is spun, it can land on blue or on green or on purple or on red or
on yellow.
DO NOT WRITE IN THIS AREA
blue
yellow green
red purple
The table gives information about the probability of the spinner landing on each colour.
Colour blue green purple red yellow
Probability 0.12 0.20 0.38 4x x
DO NOT WRITE IN THIS AREA
Sophie spins the spinner once.
(a) Work out the probability that the spinner lands on blue or on green or on purple.
..............................................................
(1)
Max spins the spinner 350 times.
(b) Work out an estimate for the number of times the spinner lands on red.
DO NOT WRITE IN THIS AREA
..............................................................
(4)
(Total for Question 3 is 5 marks)
4
■■■■
