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General Certificate of Secondary Education
2012



Additional Mathematics

Paper 2




G0302
Mechanics and Statistics

[G0302]

FRIDAY 1 JUNE, AFTERNOON




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 twelve questions.
At the conclusion of…

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Answer all twelve questions.

1 A particle rests in equilibrium at a point O on a smooth horizontal plane.

The particle is acted upon by four horizontal forces of magnitude 6N, 10N, RN and SN. The
direction of each of these forces relative to the horizontal axes Ox and Oy…

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3 A stone of mass 0.45kg is released from rest on the surface of the water in a pond.

The water exerts a constant resistance of 3N.

10
(i)Show that the acceleration of the stone is m/s2.[3]
3


The stone takes 1.5 seconds to reach the bottom of the pond.…

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5 Jordan recorded the number of points scored in each match by Jumpers basketball team
throughout the season.

The mean number of points scored for all 30 games was 36 and the standard deviation
was 8.2

The mean number of points scored for the 14 home games was 40 and…

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7 There are 24 books on a bookshelf, 16 of which are poetry books and the rest are drama
books.

Eighteen of the books on the shelf are paperback and 12 of these are poetry books.

The rest of the books on the shelf are hardback.

(i) Complete Table 3…

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8 A box of mass 8kg, initially at rest, is pulled in a straight line along a rough horizontal plane
by a light inextensible rope which is held parallel to the plane. The box moves with constant
acceleration.

After travelling 18m along the plane the box is moving with velocity…

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9 Benedict has a part-time job where he works the first weekend in each month. He recorded
how much he earned in tips each night, correct to the nearest pound. His results are
summarised in Table 4 below.

Table 4

Friday Saturday Sunday

August 17 42 25

September 18 46…

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10 Two packages A and B of masses 5kg and mkg respectively, where m 5, are connected by
a light inextensible string which passes over a smooth pulley fixed to the ceiling of a store, as
shown in Fig. 7.




A B


Platform
.

Fig. 7



The packages are held…

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(vi)the additional distance through which B rises after A strikes the platform, [2]


(vii)the time which elapses between A striking the platform and the string becoming taut
again. [2]




11 A car and a motorcycle are travelling in the same direction along a dual carriageway. At the
same instant they…

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12 The total number of hours of sunshine and the total amount of rainfall, in mm, were recorded
in different areas of the United Kingdom last year. The results are given in Table 5.

Table 5

Sunshine
1364 1478 1644 1450 1364 1412 1538 1670
(hours)
Rainfall
1260 1005 806…

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