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P46901A©2016 Pearson Education Ltd.
1/1/1/
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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
2
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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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Question 1 continued
(Total for Question 1 is 5 marks)
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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)
5
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Question 2 continued
(Total for Question 2 is 7 marks)
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3 ABCDE ABCD
AE(3)
ABE ABCD
(3)
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Question 3 continued
(Total for Question 3 is 6 marks)
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4 The n tn n Sn
S t2 523
= S4 = t
(5)
Sp Sp
p(3)
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Question 4 continued
(Total for Question 4 is 8 marks)
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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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Question 5 continued
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Question 5 continued
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Question 5 continued
(Total for Question 5 is 9 marks)
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6
x(2)
(7y(2)
a a(3)
b 7 b(5)
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Question 6 continued
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Question 6 continued
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Question 6 continued
(Total for Question 6 is 12 marks)
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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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Question 7 continued
–
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1
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5
1– – – – – –
y
x
Turn over for a spare grid if you need to redraw your graph.
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Question 7 continued
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Question 7 continued
Only use this grid if you need to redraw your graph
–
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1– – – – – –
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x
(Total for Question 7 is 11 marks)
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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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Question 8 continued
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Question 8 continued
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Question 8 continued
(Total for Question 8 is 13 marks)
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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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Question 9 continued
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Question 9 continued
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Turn over
Question 9 continued
(Total for Question 9 is 16 marks)
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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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Question 10 continued
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Question 10 continued
(Total for Question 10 is 13 marks)
TOTAL FOR PAPER IS 100 MARKS
