June 2018 QP - Paper 1H Edexcel Maths (A) IGCSE
June 2018 QP - Paper 1H Edexcel Maths (A) IGCSE
June 2018 QP - Paper 1H Edexcel Maths (A) IGCSE
com
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Mathematics A
Level 1/2
Paper 1H
Higher Tier
Thursday 24 May 2018 – Morning Paper Reference
Instructions
• Use black ink or ball-point pen.
• centre
Fill in the boxes at the top of this page with your name,
number and candidate number.
• Withoutallsufficient
Answer questions.
• Answer the questions working, correct answers may be awarded no marks.
• – there may be more spacein the spaces provided
than you need.
• You must NOT write anything on the formulae page.
Calculators may be used.
• Anything you write on the formulae page will gain NO credit.
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
• Check
Read each question carefully before you start to answer it.
• your answers if you have time at the end.
Turn over
P54694A
©2018 Pearson Education Ltd.
1/1/1/1/
*P54694A0124*
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−b ± b2 − 4ac
x=
2a b
1 2 Volume of prism
Volume of cone = ʌU h = area of cross section ulength
3
Curved surface area of cone = ʌUO
O cross
h section
length
U DO NOT WRITE IN THIS AREA
U
h
2
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0p-1 19
1p-2 12
2p-3 5
3p-4 2
4p-5 2
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(1)
(b) Work out an estimate for the mean weight of the parcels.
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....................................................... kg
(4)
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3 (a) Simplify y 5 × y 9
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(1)
(b) Simplify (2m3)4
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(2)
(c) Solve 5(x + 3) = 3x – 4
Show clear algebraic working.
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x = .......................................................
(3)
(d) (i) Factorise x 2 + 2x – 24
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.......................................................
(2)
(ii) Hence, solve x 2 + 2x – 24 = 0
.......................................................
(1)
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12
9 8
(ii) B ∪ C
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . .
(2)
Brian writes down the statement A ∩ C = Ø
(b) Is Brian’s statement correct?
You must give a reason for your answer.
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(1)
One of the numbers in the Venn diagram is picked at random.
(c) Find the probability that this number is in set Cƍ
.......................................................
(2)
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.......................................................
(1)
(b) Work out (3.5 × 105) ÷ (7 × 108)
Give your answer in standard form.
.......................................................
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(2)
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Diagram NOT
O
3.5 cm
P N
9.7 cm
....................................................... cm
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(a) Work out the value of the boat at the end of 3 years.
Give your answer correct to the nearest HK$.
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HK$. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
Jalina gets a salary increase of 5%
Her salary after the increase is HK$252 000
(b) Work out Jalina’s salary before the increase.
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HK$. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
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8 A = 35 × 5 × 7 3
B = 23 × 3 × 74
.......................................................
(2)
A = 35 × 5 × 73
B = 23 × 3 × 74
C = 2 p × 5q × 7U
Given that
the HCF of B and C is 23 × 7
the LCM of A and C is 24 × 35 × 52 × 73
(b) find the value of p, the value of q and the value of U.
p = .......................................................
q = .......................................................
U = .......................................................
(2)
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Diagram NOT
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12.8 cm
Diagram NOT
accurately drawn
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....................................................... cm
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10 The cumulative frequency graph shows information about the length, in minutes, of each
of 80 films.
70
60
50
30
20
10
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0
80 90 100 110 120 130 140
Length (minutes)
(a) Use the graph to find an estimate for the interquartile range.
....................................................... minutes
(2)
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Clare says,
“More than 35% of these films are over 120 minutes long.”
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(3)
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(3)
(b) Solve 3x 2 + 6x – 5 = 0
.......................................................
(3)
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y
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10
9
3y = 2x + 6
8
3
2
1
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–2 –1 O 1 2 3 4 5 6 7 8 9 10 x
–1
–2
4x + 3y = 24
y = .......................................................
(1)
(b) Show, by shading on the grid, the region defined by all five of the inequalities
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(3)
(Total for Question 12 is 4 marks)
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13
27q O
N
Q
M T
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. . . . . . . . . . ............................................................................................ . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(b) (i) Find the size of angle NMQ.
q
.......................................................
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. . . . . . . . . . ............................................................................................ . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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(2)
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3x − 5
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f (x) =
4
(a) Find f (–7)
.......................................................
(1)
(b) Express the inverse function f –1 in the form f –1(x) = ...
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f –1(x) = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
The function g is such that
g (x) = 19 − x
(c) Find fg (3)
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.......................................................
(2)
(d) Which values of x cannot be included in any domain of g?
.......................................................
(2)
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1
−
⎛ 256 x 20 ⎞ 4
15 (a) Simplify fully ⎜ ⎟
⎝ y8 ⎠
(2)
.......................................................
(3)
(Total for Question 15 is 5 marks)
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*P54694A01824*
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Diagram NOT
accurately drawn
h cm
U cm U cm
Frustum
volume of frustum 98
=
volume of large cone 125
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....................................................... cm
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O x
o ⎛ 2⎞ o ⎛10⎞
AB = ⎜ ⎟ AC = ⎜ ⎟
⎝ 7⎠ ⎝ 11⎠
(. . . . . . . . . . . . . . . . . . . . . , . . . . . . . . . . . . . . . . . . . . . )
(3)
The point E has coordinates (63, 211)
(b) Use a vector method to prove that ABE is a straight line.
(2)
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18
y
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O x
(–2, –1)
(. . . . . . . . . . . . . . . . . . . . . , . . . . . . . . . . . . . . . . . . . . . )
1
(ii) y = f (x)
2
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(. . . . . . . . . . . . . . . . . . . . . , . . . . . . . . . . . . . . . . . . . . . )
(2)
The graph of y = a sin(x – b)q + c for –90 - x -450 is drawn on the grid below.
–1
a = .......................................................
b = .......................................................
c = .......................................................
(3)
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*P54694A02224*
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*P54694A02424*
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