Additional Maths GCSE Past Paper 1 2012

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General Certificate of Secondary Education
2012
Additional Mathematics
Paper 1
G0301
Pure Mathematics
[G0301]
MONDAY 28 MAY, MORNING
TIME
2 hours.
INSTRUCTIONS TO CANDIDATES
Write your Centre Number and Candidate Number on the Answer Booklet and the Supplementary
Answer Booklet provided.
Answer all eleven questions.
At the conclusion of this examination attach the Supplementary Answer Booklet to your Answer
Booklet using the treasury tag supplied.
INFORMATION FOR CANDIDATES
The total mark for this paper is 100.
Figures in brackets printed down the right-hand side of pages indicate the marks awarded to each
question or part question.
You may use a calculator.
A copy of the formulae list is provided.
046648
7251

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Answer all eleven questions
1(i)Using the axes and scales in Fig. 1 in your Supplementary Answer Booklet, sketch the
graph of y tan x for 75° x 75°.[2]
(ii)Hence, using the axes and scales in Fig. 2 in your Supplementary Answer Booklet,
1
sketch the graph of y tan ( x) for 150° x 150°.[2]
2
2(i)Solve the equation
sin u 0.4
for 0° u 360°.[2]
(ii)Hence solve the equation
sin (2x 60°) 0.4
for 0° x 180°.…read more

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Find if y x6 - + 2 [3]
dx 2 2 x3
6 3
(b) Find
7x 3 dx
x
[3]
5 (i) Find the equation of the tangent to the curve y 6x3 2x4 at the point (1, 4).…read more

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Show that
5x + 1 3x ­ 7
­
2x + 3 1­ x
can be written as
11x 2 ­ 9 x ­ 22
[4]
2x 2 x ­ 3
(ii)Hence, or otherwise, solve the equation
5x 1 3x ­ 7
­ 4 [4]
2x 3 1­ x
7(a)Solve the equation
(4x­3)
8 50 [4]
(b)(i) Show that log10(10x3) 1 + 3 log10x.[2]
(ii) Hence, given the equation
1
log y 1 + 3 log10x
2 10
express y in terms of x.…read more

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Two cowboys, Frank and Jesse, were riding along separate straight trails towards a ranch R,
passing over flat terrain.
Frank crossed over a straight railway line PQ at a point X and continued on to the ranch R,
where XR = 4.50km.
^ X is 60°, as
A station S on the railway line is 9.50km from R and the size of the angle SR
shown in Fig. 3.
3 6 ; < = 4
NP
NP
5
Fig. 3
(i) Calculate the distance SX.…read more

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Carly noted the cost C (in pounds) and the age A (in months) of five FAYE laptops. The data
are given in Table 1.
Table 1
Age Cost
A (months) £C
5 206.54
9 139.78
14 101.69
23 71.13
34 53.68
She believes that a relationship of the form
C pAq
exists between C and A, where p and q are constants.
(i) Using Fig.…read more

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Matthew, Emma and Simon decided to invest some money in low, medium and high risk
accounts.
Matthew invested £5000, £3000 and £2000 in the low, medium and high risk accounts
respectively, and his expected interest after one year is £500.
Let x, y and z represent the percentage interest rates for the low, medium and high risk accounts
respectively.…read more

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A curve is defined by the equation
y 2x3 3x2 5x
(i) Find the coordinates of the points where this curve crosses the x-axis. [3]
(ii) Find the coordinates of the turning points of this curve. Give your answers to 2 decimal
places. [5]
(iii)Identify each turning point as either a maximum or a minimum point. You must show
working to justify your answers. [2]
(iv) Using your answers from parts (i) to (iii) sketch this curve using Fig. 5 in your
Supplementary Answer Booklet.…read more

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Centre Number
71
Candidate Number
General Certificate of Secondary Education
2012
Additional Mathematics
Paper 1
G0301
Pure Mathematics
[G0301]
MONDAY 28 MAY, MORNING
SUPPLEMENTARY
ANSWER BOOKLET
7251.…read more

Page 10

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Sketch the graph of y = tan x, for 75° x 75°, on the axes in Fig. 1 below.
y
4
2
­75° ­60° ­45° ­30° ­15° 15° 30° 45° 60° 75° x
­2
­4
Fig. 1
(ii)Sketch the graph of y tan ( 1 x), for 150° x 150°, on the axes in Fig. 2 below.
2
y
4
2
­150° ­120° ­90° ­60° ­30° 30° 60° 90° 120° 150° x
­2
­4
Fig. 2
7251.…read more

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