Ratio: Simplifying - Keady2020/03/10 · Ratio: Simplifying Video 269 on Question 1: For each of the following, write down the ratio of red squares to green circles. Give your ratios

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!Ratio:Simplifying

Video269onwww.corbettmaths.com

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Question1: Foreachofthefollowing,writedowntheratioofredsquarestogreencircles. Giveyourratiosintheirsimplestforms.

(a) (b) (c)

Question2: Simplifythefollowingratios

(a) 4:6 (b)14:8(c)15:10(d)6:15

(e) 30:10 (f)12:16(g)6:18(h)45:10

(i)12:28 (j)24:36 (k)25:60 (l)27:63

(m)48:60 (n)120:260 (o)8000:75 (p)33:121

(q)2.5:4.5 (r)1.5:20 (s)6:1.2 (t)2.25:4.95

Question3: Writethefollowingasratiosintheirsimplestforms.

(a)£4to£20 (b) 240cmto400cm (c)50minutesto20minutes

(d)60kgto72kg (e) 12milesto30miles (f)15cmto75cm

(g)8.5gto3.5g (h) £0.50to£20 (i)1.02litresto0.74litres

Question4: Writethefollowingasratiosintheirsimplestforms.

(a)8daysto2weeks (b) 1hourto15minutes (c)2hoursto1day

(d)95pto£3.00 (e) 400mto1.5km (f)15kgto900g

(g)4500mlto2litres (h) 8kmto50mm (i)90minutesto2days

Examples

Workout

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!Ratio:Simplifying


Question5: Expresseachofthefollowingratiosintheform1:n

(a) 2:3 (b)5:4 (c)4:10 (d)10:7

(e)8:13 (f)5:81 (g)100:131 (h)200:77

(i)25:29 (j)21:40

Question6: Expresseachofthefollowingratiosintheformn:1

(a) 7:2 (b)9:5 (c)11:3 (d)5:8

(e)3:10 (f)19:20 (g)207:50 (h)38:55

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Question1: Daisymixes50mloforangejuicewith200mlofwater. Writedowntheratiooforangejuicetowater. Giveyouranswerinitssimplestform.

Question2: Atafootballmatch,thereare3000menand1800women. Writedowntheratioofmalefanstofemalefans. Giveyouranswerinitssimplestform.

Question3: Aidan,BillandCarasharesweetsintheratiooftheirages. Aidanis12yearsold. Billis9yearsold. Carais3yearsold. Writedowntheratiooftheirages. Giveyouranswerinitssimplestform.

Question4: Inanursery,thereare5adultsand14children. Writetheratioofadultstochildrenintheform1:n

Question5: Ellieismakingacake. TheinstructionssaythattheratioofsugartoYlourshouldbe1:3 Ellieuses250gofsugarand650gofYlour. HasEllieusedthecorrectratioofsugartoYlour?

Apply


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!Ratio:Simplifying


Question6: Shannonisrevisingforhersummerexams. ThetablebelowshowsthenumberofminutesShannonspendsrevisingoneach of5evenings. ItalsoshowsthenumberofminutesShannonspendsrelaxingonthe5evenings.

Shannonwantstospendatleast5minutesrevisingforevery1minuteofrelaxing. OnwhichdaysdidShannonspendenoughtimerevising?

Question7: Fourteachersareplanningschooltrips. Thetableshowsthenumberofstudentsandthenumberofteachersplannedto goonthetrip.

Forevery18studentstheremustbeatleast1teacher. Whichtripshaveplannedtobringenoughteachers?

�Answers


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!Ratio:SharingtheTotal


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Question1:

(a)Share£20intheratio2:3 (b)Share15cmintheratio1:2

(c)Divide£24intheratio1:3 (d)Share35sweetsintheratio4:3

(e)Divide55gintheratio3:2 (f)Divide54kgintheratio1:5

(g)Share£210intheratio2:5 (h)Share120hoursintheratio5:7

(i)Share350mintheratio3:7 (j)Divide360°intheratio1:4

Question2:

(a) Share£104intheratio3:5 (b)Divide161milesintheratio6:1

(c)Divide315mlintheratio2:7 (d)Share$650intheratio4:9

(e)Share£800intheratio11:14 (f)Share1200kgintheratio3:37

(g)Divide€510intheratio13:2 (h)Share1116mmintheratio1:8

Question3:

(a)Share£40intheratio1:3:4 (b)Divide63mlintheratio2:3:4

(c)Share88pintheratio2:4:5 (d)Share180°intheratio2:2:5

(e)Divide$165intheratio1:2:12 (f)Share720cmintheratio3:4:2:9

Question4:

(a)Share1kmintheratio2:3 (b)Divide2mintheratio9:1

(c)Divide1dayintheratio1:2 (d)Share4minutesintheratio2:3

(e)Share£6intheratio1:4 (f)Share€12intheratio7:17

Examples

Workout


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Question5: Workouteachofthefollowing.Youmayuseacalculator

(a)Share10mlintheratio1:3 (b)Divide17gintheratio2:3

(c)Divide345mlintheratio3:5 (d)Divide£260intheratio5:11

(e)Share58°intheratio2:7 (f)Share880secondsintheratio2:5:11

�Question1: Edhas30sweets. Theratioofredsweetstoyellowsweetsis2:3 HowmanyredsweetsdoesEdhave?

Question2: LiamandNathanshare£60intheratio1:3 Howmuchmoneydoeseachmanreceive?

Question3: Theratioofadultstochildrenatacricketmatchis7:3. There150peopleatthematch. Howmanychildrenattendedthecricketmatch?

Question4: Markismakingconcrete. Concreteismadebymixingcement,sandandgravelintheratio1:2:3. Markwantstomake300kgofconcrete. (a)HowmuchcementdoesMarkneed? (b)HowmuchsanddoesMarkneed? (c)HowmuchgraveldoesMarkneed?

Question5: Theanglesinatriangleareintheratio1:1:4

(a)Findthesizeofeachangle (b)Whattypeoftriangleisit?

Question6: Dorothyhasgreenandbluebeadsintheratio1:4 Dorothyhas80beads.

(a)Howmanybluebeadsdoesshehave? (b)Whatfractionofthebeadsaregreen? (c)Whatpercentageofthebeadsareblue?

Apply



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Question7: Theratioofboystogirlsinaclassis2:3 Bensaysthereare28studentsintheclass.

(a)ExplainwhyBenmustbewrong (b)Writedownapossiblenumberofstudentsintheclass

Question8: Atafootballmatch,theratioofchildrentoadultsis2:7 Thereare2700peopleinthecrowd. Eachadultticketis£8 Eachchildticketcosts£3lessthananadultticket.

Workoutthetotalmoneymadefromticketsales.

Question9: Inaschool,allstudentsstudyonelanguage,FrenchorSpanish. TheratioofgirlstoboysinYear11is4:3 ¾oftheboysstudyFrench Thereare168studentsinYear11.

HowmanyoftheboysstudySpanish?

Question10: Inaschoolelectiontherewerefourcandidates:Tom,Rebecca,OllyandWendy. 540studentsvotedintheelection. 5%ofthevoteswereforTom

ofthevoteswereforRebecca TheratioofthenumberofvotesforOllytothenumberofvotestoWendywas1:2

HowmanyvoteswereforWendy?

Question11: Adrinkismadebymixingorangejuiceandlemonadeintheratio1:4 Lemonadecosts80pperlitre Orangejuicecosts£1.20perlitre Workoutthecostofmaking3litresofthedrink.

Question12: Hannahbakedsomechocolate,strawberryandvanillacupcakes. Shebakedfourtimesasmanychocolateasstrawberrycupcakes. Shebakedthreetimesasmanychocolateasvanillacupcakes. AltogetherHannahmade152cupcakes.

HowmanycupcakesofeachdlavourdidHannahmake?



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Question13: Inacarparktheratioofwhitecarstoblackcarsis2:7 Theratioofwhitecarstoredcarsis3:11 Altogetherthereare343white,blackandredcars.

Howmanyblackcarsareinthecarpark?

Question14: Ataholidaypark,guestseitherstayinacaravanorinatent. In2017therewere460guests. In2017thenumberofguestswas15%greaterthanin2016. Theratio,in2016,ofpeoplestayinginacaravantostayinginatentwas5:3. Howmanyguestsstayedincaravansin2016?

�Answers


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!Proportion:Recipes


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Question1: Jakeismakingscones. Hereisalistofingredientstomake8scones.

Howmuchofeachingredientwouldbeneededtomake: (a)16scones? (b)4scones? (c)24scones?

(d)40scones? (e)80scones? (f)2scones?

Question2: Chloeismakingicecream. Sheisusingtherecipebelow.

HowmuchofeachingredientwouldChloeneedtomakeenoughfor: (a)8people? (b)2people? (c)1person?

(d)3people? (e)6people? (f)10people?

Question3: RupertismakingaKishpie. Heisusingtherecipebelow.

HowmuchofeachingredientwouldRupertneedtomakeenoughfor: (a)15people? (b)1person? (c)2people?

(d)4people? (e)8people? (f)11people?

Examples

Workout


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!Proportion:Recipes


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Question1: Tiausesthisrecipestomakehotcrossbuns. Tiaisgoingtousethisrecipetomake9hotcrossbuns.

(a)HowmuchofeachingredientdoesTianeed?

Graceusesthesamerecipe. Sheuses500mlofmilk.

(b)HowmanyhotcrossbunsisGracemaking?

Question2: TimothyismakingaRiceKrispiecakes. Arecipeuses240gofchocolateand160gofRiceKrispiestomake24cakes.

(a)WritedowntheratioofchocolatetoRiceKrispiesinitssimplestform.

(b)HowmuchRiceKrispiesshouldTimothyusetomake30cakes?

Question3: Sarahismakingshortbreadbiscuits. Shehas: 600gofbutter 300gofcastersugar 1kgofplainKlour 500gofcornKlour Shehasfoundthislistofingredientsformaking8shortbreadbiscuits

Sarahwantstomakeasmanyshortbreadbiscuitsaspossible. WorkouthowmanyshortbreadbiscuitsSarahcanmake.

Question4: RebeccahasarecipeforChilliConCarne

Sheonlyhas400gofkidneybeans

Howmuchoftheotheringredientsshouldsheuse?

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!Proportion:Recipes


Question5: Heatherismakingchocolatebiscuits. Shehas:

2kgofKlour 1kgofbutter 340goficingsugar 200gofchocolate Hereisthelistofingredientsformaking20biscuits.

Heatherwantstomakeasmanybiscuitsasshecan. WorkouthowmanybiscuitsHeathercanmake.

Question6: Davidhasafull800mlbottleofcarshampoo. Heisgoingtomixsomeofthecarshampoowithwater. Thebottlehasthisguidance

Davidisgoingtouse360mlofwater. HowmuchcarshampooshouldDaviduse?

Question7: Jamesismakingconcreteusingcement,sandandgravelintheratio1:2:3 Jameshas: 63kgcement 112kgsand 210kggravel

WhatisthemaximumamountofconcretethatJamescanmake?

�Answers

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Exam Style Questions

Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed

Guidance

1. Read each question carefully before you begin answering it.2. Donʼt spend too long on one question.3. Attempt every question.4. Check your answers seem right.5. Always show your workings

Revision for this topic

1.! Complete this table.! Write a sensible unit for each measurement.

(2)

2.! Complete this table.! Write a sensible unit for each measurement.

(3)

3.! Write down the correct metric unit to complete these sentences.

! (a) A book weighs 700 _______________________

! (b) A door is 2 ______________________ tall

! (c) A rugby pitch is 98 _____________________ long.

(3)

4.! Write down the correct imperial unit to complete these sentences.

! (a) A man weighs 205 _______________________

! (b) The distance between two towns is 12 ____________________

! (c) A container of milk contains 2 _____________________

(3)

5.! Which metric unit would you use to measure the following?

! (a) A spoonful of medicine

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

! (b) The length of an ant

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

! (c) The weight of a pencil

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

! (d) The length of a bus

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

! (e) The weight of an aircraft

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

6.! Write down a sensible imperial unit for each measurement.

! (a) The height of a school

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

! (b) The length of a football pitch

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

! (c) The weight of an aircraft

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

7.! Write down the metric units that are used to measure.

! (a) The length of a tennis court

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

! (b) The thickness of a book

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

! (c) The capacity of a water bottle

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

8.!

! Choose the unit most likely to be used for measuring

! (a) the distance between two cities

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

! (b) the capacity of a tank

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

! (c) the length of a garden

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

Documents

Ratio: Simplifying - Keady2020/03/10 · Ratio: Simplifying Video 269 on Question 1: For each of the following, write down the ratio of red squares to green circles. Give your ratios