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Edexcel GCSE

Mathematics A
Paper 1 (Non-Calculator) Higher Tier
Tuesday 11 June 2013 – Morning Time: 1 hour 45 minutes
Paper Reference

1MA0/1H
Total Marks

You must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser. Tracing paper may be used.

Instructions
Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name, centre number and candidate number. Answer all questions. Answer the questions in the spaces provided – there may be more space than you need. Calculators must not be used.

Information
The total mark for this paper is 100 The marks for each question are shown in brackets – use 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 written communication will be assessed.

Advice
Read each question carefully before you start to answer it. Keep an eye on the time. Try to answer every question. Check your answers if you have time at the end.

Turn over

P43598A
©2013 Pearson Education Ltd.

*P43598A0128*

6/5/5/

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 lengt h

h b

Volume of sphere =

4 3 U 3

Volume of cone =

1 2 Uh 3

Surface area of sphere = 4 U 2 r

Curved surface area of cone = UO

l r

h

In any triangle ABC C b A c a B

The Quadratic Equation The solutions of ax2 + bx + c = 0 where D  0, are given by x= −b ± (b 2 − 4ac) 2a

Sine Rule

a b c = = sin A sin B sin C

Cosine Rule a2 = b2 + c 2 – 2bc cos A Area of triangle = 1 ab sin C 2

2

*P43598A0228*

Answer ALL questions. Write your answers in the spaces provided. You must write down all stages in your working. You must NOT use a calculator. 1 Given that 1793×185 = 331705

write down the value of (a) 1.793 × 185
...................................................

(b) 331 705 ÷ 1.85
...................................................

(Total for Question 1 is 2 marks) 2 Mr Mason asks 240 Year 11 students what they want to do next year. 15% of the students want to go to college. 3 of the students want to stay at school. 4 The rest of the students do not know. Work out the number of students who do not know.

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

(Total for Question 2 is 4 marks)

*P43598A0328*

3

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3

Sixteen babies are born in a hospital. Here are the weights of the babies in kilograms. 2.4 4.1 2.7 3.8 3.5 3.8 4.4 4.2 4.5 3.3 4.1 3.0 4.4 3.7 2.8 3.3

Show this information in an ordered stem and leaf diagram.

Key:

(Total for Question 3 is 3 marks) 4 (a) Expand 3(2 + t)
..........................................

(1) (b) Expand 3x(2x + 5)
..........................................

(2) (c) Expand and simplify (m + 3)(m + 10)

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

(2) (Total for Question 4 is 5 marks)

4

*P43598A0428*

5

Write 525 as a product of its prime factors.

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

(Total for Question 5 is 3 marks) 6 Ed has 4 cards. There is a number on each card.

12

6

15

?

The mean of the 4 numbers on Ed’s cards is 10 Work out the number on the 4th card.

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

(Total for Question 6 is 3 marks)

*P43598A0528*

5

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7

y 9 8 7 6 5 4 3 P 2 1 –7 –6 –5 –4 –3 –2 –1 O –1 –2 –3 ⎛ 5⎞ (a) Translate shape P by the vector ⎜ ⎟ ⎝ −2⎠ (2) 1 2 3 4 5 x

6

*P43598A0628*

y 5 4 B 3 2 1 –6 –5 –4 A –2 –3 –4 (b) Describe fully the single transformation that maps shape A onto shape B.
. . . . . . . . . . ............................................................................................. . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

–3

–2

–1 O –1

1

2

3

4

5

6

x

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

(3) (Total for Question 7 is 5 marks)

*P43598A0728*

7

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8

Margaret has some goats. The goats produce an average total of 21.7 litres of milk per day for 280 days. 1 Margaret sells the milk in litre bottles. 2 Work out an estimate for the total number of bottles that Margaret will be able to fill with the milk. You must show clearly how you got your estimate.

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

(Total for Question 8 is 3 marks) 9 Matt and Dan cycle around a cycle track. Each lap Matt cycles takes him 50 seconds. Each lap Dan cycles takes him 80 seconds. Dan and Matt start cycling at the same time at the start line. Work out how many laps they will each have cycled when they are next at the start line together.

Matt. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . laps Dan. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . laps (Total for Question 9 is 3 marks)
8

*P43598A0828*

10 The diagram shows a garden in the shape of a rectangle. 4 + 3x

Diagram NOT accurately drawn x+6

All measurements are in metres. The perimeter of the garden is 32 metres. Work out the value of x

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

(Total for Question 10 is 4 marks)

*P43598A0928*

9

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*11 Debbie drove from Junction 12 to Junction 13 on a motorway. The travel graph shows Debbie’s journey.

40

30

Distance from 20 Junction 12 (kilometres) 10

0

0

10 20 Time (minutes)

30

Ian also drove from Junction 12 to Junction 13 on the same motorway. He drove at an average speed of 66 km/hour. Who had the faster average speed, Debbie or Ian? You must explain your answer.

(Total for Question 11 is 4 marks)

10

*P43598A01028*

12

On the grid, draw the graph of y =

1 x+5 2

for values of x from –2 to 4

y 8

7

6

5

4

3

2

1

–2

–1

O

1

2

3

4

x

–1

(Total for Question 12 is 3 marks)

*P43598A01128*

11

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*13 Here is a map. The position of a ship, S, is marked on the map.

N

C

S

Scale

1 cm represents 100 m

Point C is on the coast. Ships must not sail closer than 500 m to point C. The ship sails on a bearing of 037q Will the ship sail closer than 500 m to point C? You must explain your answer.

(Total for Question 13 is 3 marks)
12

*P43598A01228*

14 –2 < n - 3 (a) Represent this inequality on the number line.

–5

–4

–3

–2

–1

0

1

2

3

4

5

n (2)

(b) Solve the inequality

8x – 3 . 6x + 4

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

(2) (Total for Question 14 is 4 marks) *15 One sheet of paper is 9 × 10–3 cm thick. Mark wants to put 500 sheets of paper into the paper tray of his printer. The paper tray is 4 cm deep. Is the paper tray deep enough for 500 sheets of paper? You must explain your answer.

(Total for Question 15 is 3 marks)

*P43598A01328*

13

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16 The normal price of a television is reduced by 30% in a sale. The sale price of the television is £350 Work out the normal price of the television.

£. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (Total for Question 16 is 3 marks)

14

*P43598A01428*

17 Sumeet has a pond in the shape of a prism. 2m 1m 0.5 m

1.3 m Diagram NOT accurately drawn

The pond is completely full of water. Sumeet wants to empty the pond so he can clean it. Sumeet uses a pump to empty the pond. The volume of water in the pond decreases at a constant rate. The level of the water in the pond goes down by 20 cm in the first 30 minutes. Work out how much more time Sumeet has to wait for the pump to empty the pond completely.

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

(Total for Question 17 is 6 marks)

*P43598A01528*

15

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18 Solve the simultaneous equations 4x + 7y = 1 3x + 10y = 15

x = .......................................... y = .......................................... (Total for Question 18 is 4 marks) 19 Write these numbers in order of size. Start with the smallest number. 5–1 0.5 –5 50

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

(Total for Question 19 is 2 marks)
16

*P43598A01628*

20

A

N

x

D Diagram NOT accurately drawn

4x

M

B ABCD is a square with a side length of 4x M is the midpoint of DC. N is the point on AD where ND = x BMN is a right-angled triangle.

C

Find an expression, in terms of x, for the area of triangle BMN. Give your expression in its simplest form.

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

(Total for Question 20 is 4 marks)

*P43598A01728*

17

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21 The table below shows information about the heights of 60 students. Height (x cm) 140 < x - 150 150 < x - 160 160 < x - 170 170 < x - 180 180 < x - 190 190 < x - 200 Number of students 4 5 16 27 5 3

(a) On the grid opposite, draw a cumulative frequency graph for the information in the table. (3)

18

*P43598A01828*

60

50

40 Cumulative frequency 30

20

10

0 140

150

160

170 Height (cm)

180

190

200

(b) Find an estimate (i) for the median,

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

cm

(ii) for the interquartile range.

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

cm

(3) (Total for Question 21 is 6 marks)

*P43598A01928*

19

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22 P and Q are two triangular prisms that are mathematically similar.

E B

10 cm2 A 6 cm C

15 cm D F 12 cm Prism Q Diagram NOT accurately drawn

Prism P Prism P has triangle ABC as its cross section. Prism Q has triangle DEF as its cross section. AC = 6 cm DF = 12 cm The area of the cross section of prism P is 10 cm2. The length of prism P is 15 cm. Work out the volume of prism Q.

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

(Total for Question 22 is 4 marks)

20

*P43598A02028*

23 Simplify

4( x + 5) x + 2 x − 15
2

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

(Total for Question 23 is 2 marks)

*P43598A02128*

21

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24 Bill works for a computer service centre. The table shows some information about the length of time, t minutes, of the phone calls Bill had.

Time (t minutes) Number of calls

0 < t - 10 12

10 < t - 15 15

15 < t - 20 13

20 < t - 30 18

30 < t - 45 3

On the grid, draw a histogram to show this information.

Frequency density

0

5

10

15

20

25

30

35

40

45

Time (t minutes) (Total for Question 24 is 3 marks)

22

*P43598A02228*

25 The expression x2 – 8x + 21 can be written in the form (x – a)2 + b for all values of x. (a) Find the value of a and the value of b.

a = .......................................... b = .......................................... (3) The equation of a curve is y = f(x) where f(x) = x2 – 8x + 21 The diagram shows part of a sketch of the graph of y = f(x). y y = f(x)

M O The minimum point of the curve is M. (b) Write down the coordinates of M. (................................ , ............. . . . . . . . . . . . . . . . . . . . ) (1) (Total for Question 25 is 4 marks) x

*P43598A02328*

23

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26 Fiza has 10 coins in a bag. There are three £1 coins and seven 50 pence coins. Fiza takes at random, 3 coins from the bag. Work out the probability that she takes exactly £2.50

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

(Total for Question 26 is 4 marks)

24

*P43598A02428*

27

S b N

R Diagram NOT accurately drawn

P

a

Q

PQRS is a parallelogram. N is the point on SQ such that SN : NQ = 3 : 2 o PQ = a o PS = b

o (a) Write down, in terms of a and b, an expression for SQ . o SQ = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (1) o (b) Express NR in terms of a and b.

o NR = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (3) (Total for Question 27 is 4 marks)

*P43598A02528*

25

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28 The diagram shows a sketch of the graph of y = cos xq y

1

O

A x

–1

(a) Write down the coordinates of the point A.

(................................ , ............. . . . . . . . . . . . . . . . . . . . ) (1) (b) On the same diagram, draw a sketch of the graph of y = 2 cos xq (1) (Total for Question 28 is 2 marks) TOTAL FOR PAPER IS 100 MARKS

26

*P43598A02628*

BLANK PAGE

*P43598A02728*

27

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28

*P43598A02828*

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...Website: www.bangladesh-bank.org www.bangladeshbank.org.bd www.bb.org.bd Banking Regulation & Policy Department Bangladesh Bank Head Office Dhaka BRPD Circular No.02 Date: February 27, 2011 ---------------------Falgun 15, 1417 Chief Executives All Scheduled Banks in Bangladesh Policy Guidelines for Green Banking Introduction: We are aware that global warming is an issue that calls for a global response. The rapid change in climate will be too great to allow many eco-systems to suitably adapt, since the change have direct impact on biodiversity, agriculture, forestry, dry land, water resources and human health. Due to unusual weather pattern, rising greenhouse gas, declining air quality etc. society demands that business also take responsibility in safeguarding the planet. Green finance as a part of Green Banking makes great contribution to the transition to resource-efficient and low carbon industries i.e. green industry and green economy in general. Green banking is a component of the global initiative by a group of stakeholders to save environment. The state of environment in Bangladesh is rapidly deteriorating. The key areas of environmental degradation cover air pollution, water pollution and scarcity, encroachment of rivers, improper disposal of industrial medical and house-hold waste, deforestation, loss of open space and loss of biodiversity. In addition, Bangladesh is one of the most climate change vulnerable countries. In line with ...

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...Acknowledgements The authors wish to thank the entire OII team for their support of OxIS research. Our particular thanks to Prof. Helen Margetts, Dr Rebecca Eynon and Martin Dimov for their contributions to this report. We also wish to acknowledge Kunika Kono and David Sutcliffe for their design and editorial support of this report. For their early contributions to OxIS we would like to thank Prof. Richard Rose, Dr Adrian Shepherd, and Dr Corinna di Gennaro. All have helped shape the evolution of this research. We are grateful for the support of OxIS 2007 by the Higher Education Funding Council of England (HEFCE) and sponsorship of the OxIS 2007 Survey by The British Library, Cisco, Ofcom, and Talisma. Our colleagues from these sponsoring organisations have made valuable comments, helping to ensure that OxIS continues to address enduring as well as emerging issues of policy and practice. Please cite the source of text and data excerpts as: Dutton, W. and Helsper, E.J. (2007) The Internet in Britain: 2007. Oxford Internet Institute, University of Oxford (Oxford, UK). © The University of Oxford for the Oxford Internet Printed copies can be ordered from the enquiries assistant at: enquiries@oii.ox.ac.uk. Copies cost £5 each (to cover the cost of postage and handling). All orders should be sent along with full payment in UK Pounds Sterling to: Oxford Internet Institute, University of Oxford, 1 St Giles, Oxford OX1 3JS, United Kingdom. Please do not send cash. Cheques should be drawn...

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...Ozone Layer Depletion: Introduction Are we damaging our protective blanket? Sunlight contains some ultraviolet light, and when we expose ourselves to too much of it, we get a sunburn. Over time, too much exposure to ultraviolet light can lead to cataracts and skin cancer. The earth has a layer in the upper atmosphere, consisting mostly of ozone gas, that filters out most of the ultraviolet in the sun's radiation. Recently there has been scientific evidence that we have been releasing gases that damage this layer. Our country and others have reacted by invoking legislation that should eliminate these contaminants from the atmosphere.   What does the Ozone Layer do? * Ozone absorbs 99% of the harmful ultraviolet (UV) radiation. Without the Ozone Layer * Most of the harmful UV radiation will penetrate the atmosphere. The Ozone Layer The ozone layer is a layer in Earth's atmosphere which contains relatively high concentrations of ozone (O3). This layer absorbs 97-99% of the sun's high frequency ultraviolet light, which is potentially damaging to life on earth. Over 90% of ozone in earth's atmosphere is present here "Relatively high" means a few parts per million—much higher than the concentrations in the lower atmosphere but still small compared to the main components of the atmosphere. It is mainly located in the lower portion...

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...BINDURA UNIVERSITY OF SCIENCE EDUCATION FACULTY OF COMMERCE DEPARTMENT OF ECONOMICS COURSE OUTLINE FOR ECONOMIC PRINCIPLES1 – EC101 Lecturers : A.Chingarande (0776326638), F. Tafirei (0772757491) & M. Mzumara (0712737723) Emails : achingarande@buse.ac.zw, ftafirei@buse.ac.zw & mmzumara@buse.ac.zw Consulting Times: Tuesdays and Thursdays 0900 Hrs – 1100Hrs or by appointment Venue : Office No H8 (Clinic Office) Main Campus Course Aims:   Provide a basis of factual knowledge of economics; Encourage the student to develop:  a facility for self-expression, not only in writing but also in using additional aids, such as statistics and diagrams, where appropriate;  the habit of using works of reference as sources of data specific to economics;  the habit of reading critically to gain information about the changing economy we live in; and  an appreciation of the methods of study used by the economist, and of the most effective ways economic data may be analysed, correlated, discussed and presented. Course Objectives:      Demonstrate knowledge and understanding of the specified content; Interpret economic information presented in verbal, numerical or graphical form; Explain and analyse economic issues and arguments, using relevant economic concepts, theories and information; Evaluate economic information, arguments, proposals and policies, taking into consideration relevant information and theory, and distinguishing facts from hypothetical statements and value...

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