Cenre uer Cnte uer Pearson Edexcel International GCSE ...



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Candidate surname

Pearson Edexcel

International GCSE

Other names

Centre Number

Candidate Number

Wednesday 13 January 2021

Afternoon (Time: 2 hours)

Paper Reference 4MA1/2HR

Mathematics A

Paper 2HR

Higher Tier

You must have:

Total Marks

Ruler graduated in centimetres and millimetres, protractor, compasses,

pen, HB pencil, eraser, calculator. Tracing paper may be used.

Instructions

black ink or ball?point pen.

? Use

Fill

in

boxes at the top of this page with your name,

? centrethe

number and candidate number.

all questions.

? Answer

sufficient working, correct answers may be awarded no marks.

? Without

Answer

the

in the spaces provided

? ¨C there may questions

be more space than you need.

may be used.

? Calculators

must NOT write anything on the formulae page.

? You

Anything you write on the formulae page will gain NO credit.

Information

total mark for this paper is 100.

? The

marks for each question are shown in brackets

? The

¨C use this as a guide as to how much time to spend on each question.

Advice

each question carefully before you start to answer it.

? Read

? Check your answers if you have time at the end.

Turn over

P66302A

?2021 Pearson Education Ltd.

1/1/1/

*P66302A0124*



International GCSE Mathematics

Formulae sheet ¨C Higher Tier

Arithmetic series

n

Sum to n terms, Sn =

[2a + (n ¨C 1)d]

2

a

The quadratic equation

The solutions of ax2 + bx + c = 0 where

a ? 0 are given by:

x=

1

(a + b)h

2

Area of trapezium =

h

?b ¡À b2 ? 4ac

2a

b

Trigonometry

In any triangle ABC

C

Sine Rule

A

B

c

Volume of cone =

Cosine Rule a2 = b2 + c2 ¨C 2bc cos A

a

b

a

b

c

=

=

sin A sin B sin C

Area of triangle =

1

ab sin C

2

Volume of prism

= area of cross section ¡Á length

1 2

¦Ðr h

3

Curved surface area of cone = ¦Ðrl

l

h

cross

section

length

r

Volume of cylinder = ¦Ðr2h

Curved surface area

of cylinder = 2¦Ðrh

Volume of sphere =

4 3

¦Ðr

3

Surface area of sphere = 4¦Ðr2

r

r

h

2

*P66302A0224*



Answer ALL TWENTY TWO questions.

Write your answers in the spaces provided.

You must write down all the stages in your working.

1

w = 5y2 ¨C y3

(a) Work out the value of w when y = ¨C2

w = ......................................................

(2)

(b) Factorise fully

8p 2 ¨C 2p

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

(2)

(c) Expand

4t(3t ¨C 2)

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

(2)

(d) Expand and simplify

(5x ¨C 2)(x + 4)

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

(2)

(Total for Question 1 is 8 marks)

*P66302A0324*

3

Turn over



2

The diagram shows a rectangle ABCD and a semicircle with diameter AB where

AB = 12 cm. The point E lies on DC and also on the semicircle.

D

A

E

12 cm

C

Diagram NOT

accurately drawn

B

Work out the area of the shaded region.

Give your answer correct to 3 significant figures.

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

(Total for Question 2 is 3 marks)

4

*P66302A0424*

cm2



3

E = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30}

A = {22, 24, 26, 28, 30}

B = {21, 24, 27, 30}

(a) List the members of the set

(i) A ¡É B

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

(ii) A?

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

(2)

C = {23, 25, 29}

(b) Using set notation, find an expression for C in terms of A and B.

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

(1)

(Total for Question 3 is 3 marks)

4

(a) Simplify

(3k 2) 4

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

(2)

(b) Simplify

(21m4n) ¡Â (3n¨C5)

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

(2)

(Total for Question 4 is 4 marks)

*P66302A0524*

5

Turn over

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