Candidate NameCandidate

Cenlre Number Numbef OCR#OXFORD CAMBRIDGE AND RSA EXAMINATIONS

General Cerliflcate of Secondary Education

MATHEMATICS SYLLABUS APAPER 2 (Foundation Tier)Tuesday 11 JUNE 2OO2 Morning

166212

t hour 30 minutes

Candidates answer on the question paper.Additional maierials:

Electronic CalculatorGeometrical instrumenlsnacing paper (optiona )

TIME t hour 30 minutes

INSTRUCTIONS TO CANDIDATES

Write your name, Centre number and candidate number in the spaces at the top of this page.

Answer all questions.

Write your answers in the spaces provided on the question paper.

Sho\,v all your working. Marks may be given for working which shows that you know how to solve theproblem, even if you get the answer wrong.

INFORMATION FOR CANDIDATES

The number of marks is given in brackets [ ] at the end of each question or part question.

You are expected to use an electronic calculator for this paper.

Unless otherwise instructed in the question, take r to be 3.142 or use the r button on your calculator.

FOR EXAMINER'S USE

l',4CSA-UC81 53-S1 6343/3oocB 2002

This question paper consisls ot 16 printed pages.

Registered Charity Numbsr: 1066969 ffurn over

2

1 (a) 31-3=Lx34 2 - 4 = 3 x 4s , - s = 4 r 5

Complete the next two lines of the sequence.

6 ' ? - 6 = . . . . . . . . . .

(b) Use the pattern in the table to complete

202 -20 = ..........

(c) (i) Work out 122 x 123.

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Answet (c)(il

(iil W te downlhe value ol

1zg2 - tzg.

Answer (c){il)

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2 Alexia plays 36 holes of golf. Her score on each hole is listed.

7 5 5 8 5 4 7 3 67 4 6 6 4 5 6 4 66 4 4 6 5 2 6 5 55 3 I 7 5 4 7 3 A

(a) Complete the frequency table below.

Score Frequency

34

5

7

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4-3

(b) On the grid below, draw a bar chan to show this information.

Frequency

4 5Scorg

13](c) On how many holes did Alexia score 5 or less?

Answer (c)

(d) What was the range ot Alexia's scores?

Answer (d) 111

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Write down th6 name of this shaDe.

Answer (a)(il

Here is the same shape with one diagonal drawn.

Draw in all the other diagonals.

) Retlect the point I in the line AC Labol thenew point D. t1l

What is the special name of quadrilateralABCD?

Answer (b)(ii\

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(b)

(i

(iD

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(c)

The diagramWhat special

shows a solid object.name is given to it?

Answer (c) t11

B

5

British Airways has four daily flights trom London to Lisbon.

Depart London 0935 1220 1405 1425

Arrive Lisbon 1210 1 5 1 0 1645 2100

(a) How long does the 0935 flight take? Give your answer in hours and minutes-

Answer (a) _houts

(b) How much longer does the 1220 ilight take than the 1405 llight?

minutes [2]

Answet (b)

{c) Anneka has an appointment in the centre of Lisbon at 5 p.m.The centre of Lisbon is one hour from the airport.Which is the latest plane she shouid catch?

minutes [2]

Answet (c) t11

5 A group of 120 children spent a total of t36 540 in

(a) Work out the average amount spent per child

a year on snacks.

on snacks in that year.

Answet (a) t

(b) Work out the average amount spent per child in a week.

121

Answer (b)E tzl

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6

(a) The petrol tank of a car holds 1 1 gallons.'| gallon = 4.55 litres.Change I 1 gallons into litres.

Answer (a)

(b) The distance round a cross-country course is 6; miles.Change this distanc€ into kilometres, giving your answernumber.

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to the nearest whole

Answer (b) kilometres [P]

(c) A sack of potatoes has a mass of 56 poundsChange 56 pounds into kilograms.

Answet (c) kilograms [21

7 200 cat owners were asked which brand of food - A, g, C, D or E- their cat liked best.The results were

Brand B c D E

Number of cat owners 31 38 56 42

(a) Fill in the blank in the table. t21

(b) One of these owners is chosen at random.What is the orobabiliw ihat this owner said 'Brand A'?

Answer (8)

I Eric goes shopping.

(a) At the greengrocers he buys 1 .5 kg of bananas at 80p por kilogram and 2.5 kg otapples at 64p per kilogram.Work out the total cost.

Answet (a) ?.

(b) At the bank he puts €350 into a savings account which pays 5% simple interest peryear.How much interest'/vill there be atter 4 vears?

Answet (b)E

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9 (a) (D Shade 53 of this rectangle.

(ii) Change I to a decimal.

Answer (a)(ii)

(iii) Change 3 to a percentage.

Answet (a)(iii\

(lv) Find C of 75.

(b)

Answer (a)(lv)

Find {75

(i) writing down your full calculator display,

(ii) correct to 1 decimal place.

(c) rinO G-e x tz.

Answer (b)(ii\

Answer (b)(i)

Answer (c)

166212 S 2002

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9

€450.deposit of e50

method than by

The cash price of a washing machine isInstead of paying cash, James pays apayments of !38.50 each.How much more will James pay by this

and then makes twelve monthly

paying cash?

Answer I t31

11 A biased triangular spinner js divided intothree sections.

The probabilities of the spinner landing on ther€d, blue and green sections are

Red BIUe Green

0.2 0.3 0.5

(a) Find the probability that the spinner will land on either the blue or the green section.

Answet (a)

(b) The spinner is spun 250 times.How many times would you expect it to land on red?

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Answot (b) L2l

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12

Scale: 1cm repr€sents l00m

The scale drawing shows the positions of points A, I and CPoint B is due East of point A.

(a) Use measurements from tho drawing to find

(i) the distance, in metres, of C from 8,

Answer (a)li\ m [2]

(ll) the bearing of Cfrom A.

Answer (a)(ii\

(b) Point D is 670 m from A on a bearing of 148".Mark the position ot point D on the diagram above-

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1662/2 S 2002

1 1

below shows the types of ticket issuedone pay-and{isplay carday in a13 (a) The tablepark.

Time on ticket Number of tickets

Up to t hour

Up to 2 hours 1 0 0

Up to 4 hours 60

4 or more hours 24

The car park manager decides to draw a pie chart toCalculate the angle which represents the 56'Up to 1

illustrate the data.hour'tickets.

Answer (a)

(b) At the end of the day the tacket machine is emptied.The pie chan below represents the number of each type of coin in the machine.

NOT TOSCALE

The machine contains 260 fitty pence coins.

(i) How many 10p coins are there?

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!1 coins

Answer (b)(it

(ll) Calculate the total amount of money in the machine.

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Answer (b)(iil E 13I

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14 (a) Solve this equation.

7x-5 = 37

;.

Answar (a) x=

(b) Bricks are delivered by a lorry to a new housing estate.The lorry delivers ytonnes of bricks each time.The lorry makes 4 deliveries in one day.

(i) Write down an expression, in terms of y, for the number of tonnes of bricks whichthe lorry delivers each day.

Answer (b)(i) tonnes l1l

The housing estate will contain two types of house.

House type Weight of bricks per house (tonnes) Number of houses

Devonport 2y 6

Maidstone sy

(ii) Write down an expression, in terms of y, for the total number ol tonnes of bflcKsneeded to build allthe houses on the ostate.

Answer (b)lii) tonnes [21

(iil) How many days will it take the lorry to deliver a the bricks to the estate?

Answer (b)(iil\

t2)

days [1]

1 3

'15 The distance-tjme graph below shows a journey between Alex's house and Craig's house.

Distance (km)from Alex's house 4

Craig's house --r-

Bashi/s house ------i- 1

Alex's house ------r- 03pm 4pm spm

Time of day6pm

Alex walked from his home to Bashir's house then they walked together to Craig's hous€.

(a) How long did Alex spend at Bashir's house?

Answer (a) minutes [1]

(b) How far were they from Bashir's house at 4 pm?

Answer (b) km [2]

(c) What happened at 4.30 pm?

Answer (c)

(d) At 5.30 pm Craig's mothsr drove Alex home. Hs arrived home at 5.45 pm.

(i) Add a line to the grid to show Alex's journey home.

(ii) Calculate the average speed of Alex's car jolrney.

Answer (d)(iil km/h [2]

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16 To make 16 Viennese shortcakes you need:

200 g of {lour225 g of butter80 g of icing sugar50 g of cornflourA little red jam

(a) Mary made 40 Viennese shortcakes.

How much icing sugar did she use?

Answet (a)

(b) Gretchen is going to make some Viennese shortcakes.She has 375 g of flour.

How many can she make?

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Answet (b)

(c) The ingredients for the 16 cake recipe cost !'1 .12 in total.The cakes are to be sold at a fete.

How much should be charged for each cake to make 85% proJit on the cost?Give your answer correct to the nearest p€nny.

121

Answer (c) p l3l

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{ t7 In a bathroom a circular wash-basin is set in a triangular r,yorldop.

NOT TOSCALE

The worldop is an isosceles ight-angled tiangle.Two sides have length 95 cm,The top ot lhe wash-basln is a circle of radius 21 cm.

(a) Calculats the area of a circle radius 21 cm.Give the units of your answer.

95 Cm

Answer (a)

(b) Calculate the area ol the workop surrounding the wash-basin.Give the units ot your ansvYer.

Answer (b)

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1 8

1 6

A sports scientist asked eight members of a sports club how many hours per day, onaverage, each spent exercising. He also measured each member's resting pulse rate- Hisresults are shown in the table below.

(a) On the axes below draw a scatter diagram to illustrate this inlormation.

Resting pulse rate(Beats per minute)

2 3 4Hours spent on exercise

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(b) Describe the correlation between the number ot hours spent on exercise and theresting pulse rate of the members.

Answer (b)

(c) One of these eight menbers is selected at random.What is the probability that the person selected spends 3 or more hours per day onexercise?

Answet (c)

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Member B c D E F G

Hours spent on exercise 1 . 5 3.5 2.5 2 4 1

Resting pulse rate (beats/minute) 72 59 60 70 55 70 65

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