Read and interpret line graphs

1 Thegraphshowstheheightofasunfloweronthe

firstdayofeachweekfor6weeks.

a) Whatistheheightofthesunfloweratthe

startofweek3?

b) Whatistheheightofthesunfloweratthe

startofweek2?

c) Evathinkstheheightofthesunfloweratthestartofweek4is

75cm.ExplainwhyEvaiswrong.

d) Byhowmuchdoesthesunflowergrowfromthe

startofweek3tothestartofweek6?

2 Thegraphshowsthepopulationofatownattheendofeach

decadefrom1950to2000

a) Whatwasthepopulationattheendof1980?

b) Whatwasthepopulationattheendof2000?

c) Canyouaccuratelytellthepopulationin1991?Why?

d) Whichdecadehadtheleastpopulationincrease?

e) Predictthepopulationattheendof2020

Compareanswerswithapartner.

©WhiteRoseMaths2019

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1 2 3 4 5 6week

hei

gh

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1950

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1960 1970 1980 1990 2000 2010 2020

year

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©WhiteRoseMaths2019

3 ThisgraphshowstheaveragerainfallinLondonandManchesterto

thenearest5mm.

a) HowmanymillimetresofrainfallsinLondoninMay?

b) WhichmonthsarethedriestinManchester?

c) WhichisthewettestmonthinLondon?

d) InJanuary,howmuchmorerainfallistherein

ManchesterthanLondon?

e) Howmanymonthsdoesitrainmorethan50mmin

LondonandManchester?

f) HowmuchmorerainfallisthereinManchester

thanLondoninDecember?

4 EnergyismeasuredinkWh(kilowatthours).

Thisgraphshowstheamountofenergybeingusedatdifferent

timesoftheyearinonehousehold.

Describethreethingsthatyouknowfromlookingatthegraph.

Describethreethingsthatyoucouldfindoutfromthegraph.

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months of the year

London

Manchester

rain

fall

(mm

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months of the year

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Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

Use line graphs to solve problems

1 Thisgraphshowshowmanymilesanaeroplanehasleftto

traveleachhouronitsjourneyfromLondontoNewYork.

a) Howmanyhoursistheflight?

b) HowmanymilesisthejourneyfromLondon

toNewYork?

c) After4hours,howmanymoremilesare

lefttotravel?

d) Howlongdoesittaketoflythefinal1,000miles?

e) Howmanymilesdoestheplanetravelbetween

2hoursand4hoursintotheflight?

f) Estimatehowfartheplanehastravelledafter

3hoursand30minutes.

2 Thegraphshowstherainfallinthefirst8daysinOctober.

a) Howmanymillimetresofrainfellonthe

7thOctober?

b) It rained every day in the first 8 days in October.

Isthisstatementcorrect?

Explainyouranswer.

c) TherecordamountofrainfallforOctoberis2.5cm

Hasanewrecordbeenset?

Explainyouranswer.

©WhiteRoseMaths2019

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day

rain

fall

(mm

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flight time (hours)

dis

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ft t

o t

rave

l (m

iles)

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©WhiteRoseMaths2019

3 Thisgraphshowstheconversionbetweenmilesandkilometres.

a) Howmanykilometresaretherein50miles?

b) Howmanymilesaretherein130km?

c) Explaintoapartnerhowyouworkedouttheanswersto

parta)andb).

d) Evacycles60miles.

Dextercycles80km.

Whocyclesthefurthest?

Howmuchfurtherdoesthepersoncycle?

e) Ronwantstoconvert800kmintomiles.

Ronisincorrect.Explainwhy.

Completetheconversion.

Showyourworking.

800km= miles

f) Ahigh-speedtraincantravelupto400kminanhour.

Howmanymilescanittravelinanhour?

0miles

10 20 30 40 50 60 70 80 90 1000

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I can’t do it because my graph doesn’t

go high enough.

Read and interpret tables

1 Thetableshowstheweightoffivedogs,tothenearestkilogram.

Nameofdog Weight

Buster 12kg

Misty 26kg

Titch 14kg

Henry

Patch

a) WhatisthetotalweightofBusterandTitch?

b) Henryis10kgheavierthanMisty.

WriteHenry’sweightinthetable.

c) PatchisheavierthatTitchbutweighslessthanMisty.

Writethedogsnamesinorderofweight,startingwith

thelightest.

2 Thetableshowsthenumberofchildrenineachyearata

primaryschool.

Year 1 2 3 4 5 6

Numberof

children28 31 29 25 32

Thereare175childrenintheschoolintotal.

HowmanychildrenareinYear6?

Completethetable.

Howdidyouworkthisout?Talktoapartner.

3 Thetableshowstheaveragesummertemperaturefor

differentcities.

City London Edinburgh Paris Madrid Rome Berlin

Temperature(°C)

21 15 25 31 30 22

a) WhatistheaveragesummertemperatureinParis?

b) Whichcityhasthewarmestaveragetemperatureduring

thesummer?

c) Whatisthedifferenceinaveragetemperature

betweenBerlinandEdinburgh?

d) Whichtwocitieshaveadifferenceofjustonedegreeinaverage

summertemperature?

©WhiteRoseMaths2019

©WhiteRoseMaths2019

e) EvaandherparentsliveinLondon.

Theywanttohaveasummerholidaysomewherewarmer.

Whichcitydoyouthinktheyshouldgoto?

Explainyouranswer.

4 Teachersaskedchildrenhowtheytraveltoschool.

ThetablesshowhowthechildreninYear4andYear5travel

toschool.

Year 4 Year 5

Method

oftravelWalk Bike Car Bus

Number

ofchildren18 1 10 0

Method

oftravelWalk Bike Car Bus

Number

ofchildren17 3 7 1

a) Whatisthemostcommonmethodoftravelinbothyeargroups?

b) HowmanymorechildrentravelbycarinYear4than

inYear5?

c) Whichyearhasthemostchildren?

d)

IsTommycorrect?

Explainyouranswer.

5 Thetableshowsthenumberoficecreamssoldinashoplastweek.

Day Mon Tue Wed Thur Fri Sat Sun

Icecreams

sold15 27 13 19 2 46 38

DoyouagreewithAlex?

Explainyourreasons.

6 Class5Bdidasurveytofindoutthetypesofpetschildrenhad

athome.

Dog Cat Hamster Rabbit Goldfish

Whoiscorrect?

Explainyouranswer.

Year 5 children cause less pollution than Year 4,

getting to school.

The shop sold more ice creams in total on Saturday

and Sunday than during the rest of the week.

There are 24 children in

the class.

There are more than 24 children

in the class.

We do not know how many children are in

the class.Dora

Rosie

Amir

Two-way tables

1 Afilmisshowntwiceadayat3pmand7pm.

Thetableshowsthenumberofchildrenandadultsthatseeeach

showinoneday.

Adults Children

3pmshowing 28 65

7pmshowing 58 12

a) Howmanychildrenwatchedthe7pmshowing?

b) Howmanyadultswatchedthefilmthatday?

c) Thereare100seatsinthecinema.

Howmanyseatswereemptyatthe3pmshowing?

d) Didmorechildrenormoreadultswatchthefilm?

Showyourworkings.

e) Whydoyouthinkfewerchildrenwatchedthe7pmshowing?

2 Thetableshowsinformationabouttheeyecolourof100people.

Brown Blue Green Total

Boys 12 25 70

Girls 8

Total 29 100

a) Completethetable.

b) Howmanyboyshavegreeneyes?

c) Howmanygirlshaveblueeyes?

d) Howmanymoregirlshavebrowneyesthanblueeyes?

3 Thetablebelowshowsthedistanceinmilesbetweensomecities.

London

3,459 NewYork

5,938 6,736 Tokyo

6,011 7,803 9,152 CapeTown

10,553 9,929 7,819 6,845 Sydney

a) WhatisthedistancebetweenSydneyandTokyo?

b) Whichtwocitiesarethefurthestapart?

and

c) Chooseacitytostartinandthentwomoredifferentplaces

tovisit.

Howfarwouldyouhavetotravel?

©WhiteRoseMaths2019

©WhiteRoseMaths2019

4 Teamsareawardedpointsforeacheventataswimminggala.

Someofthescoreshaveaccidentallybeenwashedoff!

Workoutthemissingscoresandcompletethetable.

Write3questionsforyourpartnertoanswerabouttheinformation

onthetable.

5 Thetableshowsinformationaboutsomeoftheworld’s

tallestbuildings.

Building Country Height(m)Numberof

floorsYear

completed

BurjKhalifa UAE 828 163 2010

ShanghaiTower China 632 128 2015

AbrajAl-BaitClockTower

SaudiArabia 601 120 2012

PingAnFinanceCentre

China 599 115 2017

GoldinFinance117

China 597 128 2019

a) Howtallisthetallestbuilding?

b) Whichbuildingis601mtall?

c) Whichtwobuildingshavethesamenumberoffloors?

d) Whichbuildingwascompletedmostrecently?

e) HowmuchtalleristheBurjKhalifathantheGoldinFinance

117building?

f) Three-fifths of the buildings are in China.

Isthisstatementcorrect?

Explainhowyouknow.

Breaststroke Backstroke Butterfly Freestyle Total

Yellow 405 210 395 1,970

Red 650 420 650

Green 210 400 1,480

Blue 210 610 510

Total 1,610 1,430 1,925

Timetables

1 HereistheSaturdaytimetableforthemainpoolatalocal

leisurecentre.

1 23 3 3 5 5 6

4 4 4

6 5 5 5 8 8

1 Swimfit 2 LaneSwimming 3 FamilySwim

4 Children’sSwimmingLessons 5 SwimForAll

6 FunSwim:Under14sOnly 8 AdultSwimmingLessons

a) Isthistrueorfalse?

The Family Swim session starts at 9 o’clock in the morning.

b) HowlongdoestheSwimfitsessionlast?

c) Duringthedayhowmuchtimeisallocatedto

SwimforAllsessions?

d) Whyisthetimebetween9:00and12:00dividedintotwo?

Talkaboutitwithapartner.

2 Drawatimetablefortoday’slessonsatschool.

Youshouldincludebreaksandlunchtime.

Addanotherrowtoyourtimetabletoshowwhatlessonsyou

havetomorrow.

Whatthingsstaythesameandwhatthingschangeeveryday?

3 Hereispartofabustimetableshowingthejourneyfromthe

busstationtothetrainstation.

1stbus 2ndbus

Busstation 10:30 12:15

HighStreet 10:42 12:27

GreenLane 10:45 12:30

School 10:56

FourLaneEnd 11:07

Library 11:12

Trainstation 11:25

Ittakesthe2ndbusthesametimetotravelbetweeneachstop.

Completethetimetable.

©WhiteRoseMaths2019

07:00

14:00

08:00

15:00

09:00

16:00

10:00

17:00

11:00

18:00 19:00

12:00 13:00

©WhiteRoseMaths2019

4 ThisisthetraintimetablefromLeedstoLondon.

Leeds 12:15 12:45 13:15 13:45 14:15

Wakefield 12:28 12:58 13:28 13:58 14:28

Doncaster 12:47 13:19 13:47 14:19 14:47

Grantham 13:18 – 14:18 – 15:18

Peterborough – 14:10 – 15:10 –

Stevenage 14:04 – 15:04 – 16:04

London 14:31 15:01 15:31 16:01 16:31

a) Whattimedoesthe12:45fromLeedsarrive

inLondon?

b) Howlongdoesthe13:58trainfromWakefieldtaketoget

toLondon?

c) Atwhichstationsdoesthe14:15trainstop?

d) HowlongdoesittaketogetfromGranthamtoStevenage?

e) IfyouarriveinGranthamat13:30,howlongwillyouneedto

waitbeforethenexttraintoLondon?

5 Hereisalocalbustimetable.

HighStreet 09:15 09:35 09:55 10:15

Library 09:30 09:50 10:10 10:30

WillowPark 09:47 10:07 10:27 10:47

BankRoad 10:05 10:25 10:45 11:05

Shop-A-LotCentre

10:20 10:40 11:00 11:20

a) Dextermissesthe09:15busby3minutes.

HeneedstobeatBankRoadby10:30

Ishestillabletomakeit?

Explainyouranswer.

b) Anniecatchesthe10:10bus.

WhattimedoesshearriveattheShop-A-LotCentre?

c) Teddysaysheneverhastowaitmorethan20minutesforabus.

Isthistrue?

Explainyouranswer.