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/01) 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
b a Cosine Rule a2 = b2 + c2 – 2bc cos A
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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
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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.
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You must write down all the stages in your working.
1 Without using a calculator, work out
2 4
3 2
3 7
Show each stage of your working.
Give your answer as a mixed number in its simplest form.
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.........................................................
(Total for Question 1 is 3 marks)
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3
■■■■ Turn over
, 2 The height of a tree is 17.8 metres correct to one decimal place.
(a) Write down the lower bound for the height of the tree.
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.................................................... metres
(1)
The weight of an apple is 145 grams correct to the nearest 5 grams.
(b) Write down the upper bound for the weight of the apple.
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.................................................... grams
(1)
4.766 815
A=
0.399
(c) By rounding each number to one significant figure, work out an estimate
for the value of A
Show your working clearly.
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..........................................................
(2)
(Total for Question 2 is 4 marks)
4
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