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Surname Initial(s)
Centre
Paper Reference
No.

Signature
Candidate
No. 5 3 8 4H 1 3H
Paper Reference(s)


5384H/13H Examiner's use only



Edexcel GCSE Team Leader's use only


Mathematics (Modular) ­ 2381
Paper 13 (Non-Calculator)
Higher Tier
Unit 3
Monday 7 June 2010 ­ Afternoon
Time: 1 hour 10 minutes

Materials…

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GCSE Mathematics

Formulae: Higher Tier

You must not write on this formulae page.
Anything you write on this formulae page will gain NO credit.


Volume of a prism = area of cross section × length



cross
section

length




4 r 3
Volume of sphere = 3 Volume of cone =…

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Answer ALL EIGHTEEN questions.

Write your answers in the spaces provided.

You must write down all stages in your working.

You must NOT use a calculator.


1. There are 200 children in a school.
120 of the children are boys.

What percentage of the children are boys?




.................................…

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3.
y
7

6

5

4

3 T

2

1

O
­6 ­5 ­4 ­3 ­2 ­1 1 2 3 4 5 6 x
­1

­2

­3

­4

­5

­6

Triangle T has been drawn on the grid.

Rotate triangle T 180° about the point (1, 0).
Label…

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4.
y

8

7

6 P

5

4 Q

3

2

1

O 1 2 3 4 5 6 7 8 9 10 x


Describe fully the single transformation which maps shape P onto shape Q.

..............................................................................................................................................

.............................................................................................................................................. Q4

(Total 2 marks)




5
*N36811A0516* Turn over

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5. Nigel travelled from his home to his friend's house 40 km away.
He stayed at his friend's house for 30 minutes.
Nigel then travelled home.

Here is part of the distance-time graph for Nigel's journey.




40



30
Distance from
home (km)
20



10



0
10 00 10…

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6. Here is a sketch of a cuboid.


Diagram NOT
accurately drawn


2 cm
4 cm

3 cm

(a) On the isometric grid below, make an accurate drawing of this cuboid.
One edge has been drawn for you.




(2)

(b) Work out the area of the top face…

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7.




5 cm Diagram NOT
3 cm accurately drawn

20 cm
4 cm

Work out the volume of the triangular prism.




.............................. cm3 Q7

(Total 2 marks)




8
*N36811A0816*

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8. There are 300 people in a cinema.
1
of the 300 people are boys.
6
3
of the 300 people are girls.
10
The rest of the people are adults.

Work out how many people are adults.




..................................... Q8

(Total 4 marks)


9.


Diagram NOT
accurately drawn…

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10. (a) Complete the table of values for y = x2 + x ­ 3


x ­4 ­3 ­2 ­1 0 1 2

y 9 ­1 ­3 3
(2)




(b) On the grid below, draw the graph of y = x2 + x ­ 3 for values of…

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