# past paper unit 3 maths edexcel

past paper unit 3 maths edexcel

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Surname Initial(s)
Centre
Paper Reference
No.

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

5384H/14H Examiner's use only

Edexcel GCSE Team Leader's use only

Mathematics (Modular) ­ 2381
Paper 14 (Calculator)
Higher Tier
Unit 3
Tuesday 10 November 2009 ­ Morning
Time: 1 hour 10 minutes
Materials…

### Page 2

GCSE Mathematics 2381

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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You must write down all stages in your working.

8.7 ×12.3
1. Use your calculator to work out the value of
9.5 - 5.73
Write down all the digits from your calculator.

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3.

The diagram shows a prism.

(a) On the diagram, draw in one plane of symmetry for the prism.
(2)

(b) In the space below, sketch the front elevation from the direction marked with an
arrow.

(2) Q3

(Total 4 marks)

4
*N35525A0416*

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4. A circle has a radius of 5 cm.

Diagram NOT
accurately drawn

5 cm

Work out the area of the circle.

.................................. cm2 Q4

(Total 2 marks)

5. A regular polygon has 12 sides.

Work out the size of…

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6. Soap powder is sold in two sizes of box.

Soap Powder

Soap Powder
9kg
2kg

£1.72 £7.65

Small box Large box

A small box contains 2 kg of soap powder and costs £1.72
A large box contains 9 kg of soap powder and costs £7.65

Which size…

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7. y

6
5
4
3
2
A
1
B
­6 ­5 ­4 ­3 ­2 ­1 O 1 2 3 4 5 6 x
­1
­2
­3
­4
­5

Describe fully the single transformation that maps triangle A onto triangle B.

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

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

(Total 3 marks)
1…

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9. A piece of wood is 180 cm long.
Tom cuts it into three pieces in the ratio 2 : 3 : 4

Work out the length of the longest piece.

Q9
.................................. cm
(Total 3 marks)

10. The equation

x3 + 2x = 60

has a solution…

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11. (a) Simplify m3 × m4

..............................
(1)

(b) Simplify p7 ÷ p3

..............................
(1)

(c) Simplify 4x2y3 × 3xy2

..............................
(2) Q11

(Total 4 marks)

12.
C
Diagram NOT
accurately drawn
12 cm

A B
14 cm

ABC is a right-angled triangle.
AB = 14 cm.
BC…

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13. Solve 29 - x
= x+5
4

Q13
x = ................................
(Total 3 marks)

14. R
15 cm
Q
10 cm C 110°
B Diagrams NOT
110° accurately drawn
6 cm
80°
80°
A D P 12 cm S

ABCD and PQRS are mathematically similar.

(a) Find…