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Centre Number Candidate Number Write your name here Surname Other names Total Marks Paper Reference Turn over P46901A ©2016 Pearson Education Ltd. 1/1/1/ *P46901A0132* Further Pure Mathematics Paper 1 Tuesday 14 June 2016 – Morning Time: 2 hours 4PM0/01 Calculators 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 in the spaces provided there may be more space than you need. Information The total mark for this paper 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

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Page 1: Pearson Edexcel International GCSE Further Pure Mathematicsnhpapers.weebly.com/uploads/1/0/3/2/103290106/4pm0_01_que_2016… · 2 *P46901A0232* DO NOT WRITE IN THIS AREA DO NOT WRITE

Centre Number Candidate Number

Write your name hereSurname Other names

Total Marks

Paper Reference

Turn over

P46901A©2016 Pearson Education Ltd.

1/1/1/

*P46901A0132*

Further Pure MathematicsPaper 1

Tuesday 14 June 2016 – MorningTime: 2 hours 4PM0/01Calculators 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 in the spaces provided

– there may be more space than you need.

Information

• The total mark for this paper 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

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Answer all TEN questions.

Write your answers in the spaces provided.

You must write down all the stages in your working.

1 f ( )x x x= − +3 7 6

(a) Show that (x x)(2)

x)(3)

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2 1 3 213+( )−

x x xx6

(3)

f ( )( )

x kx

x= −

+

1

1 3

2

213

k

x xx4

(3)

x x −5

k(1)

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3 ABCDE ABCD

AE(3)

ABE ABCD

(3)

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4 The n tn n Sn

S t2 523

= S4 = t

(5)

Sp Sp

p(3)

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5

A + B A B A B

tan sincos

A AA

=

x + x )

x = 4 tan(5)

y y y (4)

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6

x(2)

(7y(2)

a a(3)

b 7 b(5)

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7 y x

x 1

y 4

(2)

y x x (2)

7

(3)

x + x = x

(4)

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*P46901A01932* Turn over

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WRI

TE IN

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REA

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TE IN

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IS A

REA

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TE IN

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IS A

REA

Question 7 continued

O

1

4

5

1– – – – – –

y

x

Turn over for a spare grid if you need to redraw your graph.

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8

A

BDO

E

NOT

Figure 1

OA = a OB = b OD = 23

b

E AD

a b

AD OE BE(5)

F OA OF = F E B

(5)

OFB

OADpq

p q(3)

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9 x x x

x

x

andα ββ α

(6)

(5)

x A(x + B ) + C A B C(3)

x(2)

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10 A B C AB

C(2)

D

(b) Show that DC AB(3)

DC py = x + q(2)

E DCE DC = CE.

E(2)

ADBE(4)

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