surname names
Number Number
Paper
Mathematics A (Modular)
🟐 🟐
UNIT 2H
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
(4WM2H/01R) Question Paper 2HR 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
a
The quadratic equation
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 FIVE 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 table shows information about the weights, in kilograms, of 50 dogs.
Weight (w kg) Frequency
4<w 8 5
8<w 12 17
12 < w 16 15
16 < w 20 9
20 < w 24 4
DO NOT WRITE IN THIS AREA
(a) Write down the modal class.
.................................................................................. kg
(1)
(b) Work out an estimate for the mean weight of the 50 dogs.
DO NOT WRITE IN THIS AREA
. ................................................................................. kg
(4)
(Total for Question 1 is 5 marks)
3
■■■■ Turn over
, 2 Write 1400 as a product of powers of its prime factors.
Show your working clearly.
DO NOT WRITE IN THIS AREA
............................................................
DO NOT WRITE IN THIS AREA
(Total for Question 2 is 3 marks)
3 Solve the simultaneous equations
3x + 2 y = 10
3x − 4 y = 16
Show clear algebraic working.
DO NOT WRITE IN THIS AREA
x = .............................................................
y = .............................................................
(Total for Question 3 is 3 marks)
4
■■■■
Number Number
Paper
Mathematics A (Modular)
🟐 🟐
UNIT 2H
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
(4WM2H/01R) Question Paper 2HR 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
a
The quadratic equation
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 FIVE 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 table shows information about the weights, in kilograms, of 50 dogs.
Weight (w kg) Frequency
4<w 8 5
8<w 12 17
12 < w 16 15
16 < w 20 9
20 < w 24 4
DO NOT WRITE IN THIS AREA
(a) Write down the modal class.
.................................................................................. kg
(1)
(b) Work out an estimate for the mean weight of the 50 dogs.
DO NOT WRITE IN THIS AREA
. ................................................................................. kg
(4)
(Total for Question 1 is 5 marks)
3
■■■■ Turn over
, 2 Write 1400 as a product of powers of its prime factors.
Show your working clearly.
DO NOT WRITE IN THIS AREA
............................................................
DO NOT WRITE IN THIS AREA
(Total for Question 2 is 3 marks)
3 Solve the simultaneous equations
3x + 2 y = 10
3x − 4 y = 16
Show clear algebraic working.
DO NOT WRITE IN THIS AREA
x = .............................................................
y = .............................................................
(Total for Question 3 is 3 marks)
4
■■■■
