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Surname Initial(s)
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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 18 May 2009 ­ 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 NINETEEN questions.

Write your answers in the spaces provided.

You must write down all stages in your working.

You must NOT use a calculator.


1. Here is a list of ingredients for making 8 cheese scones.

Ingredients for 8 cheese scones

200 g self-raising flour

60…

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3.
Diagram NOT
x+6 2x ­ 3 accurately drawn



3x + 1

In the diagram, all measurements are in centimetres.

The lengths of the sides of the triangle are

x+6
2x ­ 3
3x + 1

(a) Find an expression, in terms of x, for the perimeter of…

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4. Alan bought 20 melons for £15
1
of the melons were bad so he threw them away.
5
He sold the remaining melons for £1.50 each.

Work out Alan's profit.




£ ................................. Q4

(Total 4 marks)




5
*N34819A0516* Turn over

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5. y

8

6

4

2

­8 ­6 ­4 ­2 O 2 4 6 8 x
­2

­4

­6

­8

(a) Rotate the shaded shape 90° clockwise about the point O.
(2)

y


4

3
P
2
Q
1


­4 ­3 ­2 ­1 O 1 2 3 4…

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6. (a) Solve 2(y ­ 3) = 8




y = ..............................
(2)

(b) Solve 4x + 1 = 2 x + 12




x = .............................
(2) Q6

(Total 4 marks)

7. 2 x2 = 72

Find a value of x.




..................................... Q7

(Total 2 marks)




7
*N34819A0716* Turn…

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8. (a) Complete the table for y = x2 ­ 2x ­ 4

x ­2 ­1 0 1 2 3 4
y 4 ­4 ­5 ­1
(2)




(b) On the grid, draw the graph of y = x2 ­ 2x ­ 4
y

7

6

5

4

3…

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9. Here are the plan and front elevation of a solid shape.




Plan Front Elevation


(a) On the grid below, draw the side elevation of the solid shape.




(2)

(b) In the space below, draw a sketch of the solid shape.




(2) Q9

(Total 4 marks)




9
*N34819A0916*…

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10.
A




B C




ABC is a triangle.

Shade the region inside the triangle which is both

less than 4 centimetres from the point B
and closer to the line AC than the line AB. Q10

(Total 4 marks)




10
*N34819A01016*

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