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Centre Number

Candidate Number

Edexcel GCSE

Mathematics A

Paper 2 (Calculator)

Higher Tier

Thursday 8 November 2012 – Afternoon

Time: 1 hour 45 minutes

Paper Reference

1MA0/2H

You must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator.

Tracing paper may be used.

Total Marks

Instructions

black ink or ball-point pen. t Use in the boxes at the top of this page with your name, t Fill centre number and candidate number. all questions. t Answer the questions in the spaces provided t Answer

– there may be more space than you need. may be used. t IfCalculators your calculator does not have a ʌ button, take the value of ʌ to be t 3.142 unless the question instructs otherwise.

Information

The total mark for this paper is 100 t The for each question are shown in brackets t – usemarks this as a guide as to how much time to spend on each question.

Questions labelled with an asterisk (*) are ones where the quality of your t written communication will be assessed.

Advice

each question carefully before you start to answer it. t Read an eye on the time. t Keep

Try

to every question. t Checkanswer t your answers if you have time at the end.

P40675A

©2012 Pearson Education Ltd.

6/6/7/4/

*P40675A0128*

Turn over

GCSE Mathematics 1MA0

Formulae: Higher Tier

You must not write on this formulae page.

Anything you write on this formulae page will gain NO credit.

Volume of prism = area of cross section × length

Area of trapezium =

1

(a + b)h

2

a cross section

h b h

lengt

Volume of sphere =

4 3 ʌU 3

Volume of cone =

1 2 ʌU h

3

Curved surface area of cone = ʌUO

Surface area of sphere = 4ʌU 2 r l

h r In any triangle ABC

The Quadratic Equation

The solutions of ax2 + bx + c = 0 where D 0, are given by

C b A

Sine Rule

a

x=

B

c

−b ± (b 2 − 4ac)

2a

a b c

=

= sin A sin B sin C

Cosine Rule a2 = b2 + c 2 – 2bc cos A

Area of triangle =

2

1 ab sin C

2

*P40675A0228*

Answer ALL questions.

Write your answers in the spaces provided.

You must write down all stages in your working.

1

Use a calculator to work out

20.4

6.2 × 0.48

Write down all the figures on your calculator display.

Give your answer as a decimal.

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

(Total for Question 1 is 2 marks)

*P40675A0328*

3

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2

(a) y 10

9

y=x

8

7

6

5

4

P

3

2

1

O

1

2

3

4

5

6

7

8

9

10 x

Reflect shape P in the line y = x

(2)

4

*P40675A0428*

(b) y 5

4

3

A

2

1

–5

–4

–3

–2

–1 O

1

2

3

4

5 x

–1

–2

B

–3

–4

–5

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

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

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

(2)

(Total for Question 2 is 4 marks)

*P40675A0528*

5

Turn over

*3

A company sells boxes to factories.

Fred buys boxes.

The boxes are sold in packs of 1000

Each pack costs £193.86

Fred orders 3 packs of boxes.

He gets a discount on his total order.

The table shows the discount he will get.

Total Order

Discount

£100 - £300

5%

£301 - £400

10%

£401 and above

15%

Work out the total cost of the order after the discount.

You must show your working.

(Total for Question 3 is 5 marks)

6…