Simplifying Ratios

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Ratio:Simplifying
Video6onwww.corbettmaths.com
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Examples
Workout
Question1: Foreachofthefollowing,writedowntheratioofredsquarestogreencircles.
Giveyourratiosintheirsimplestforms.
(a)
(b)
(c)
Question2: Simplifythefollowingratios
(a) 4:6
(e) 30:10
(f)12:16(g)6:18(h)45:10
(i)12:28
(b)14:8(c)15:10(d)6:15
(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
(d)60kgto72kg
(e)
12milesto30miles
(f)15cmto75cm
(g)8.5gto3.5g
(h)
£0.50to£20 (i)1.02litresto0.74litres
(c)50minutesto20minutes
Question4: Writethefollowingasratiosintheirsimplestforms.
(a)8daysto2weeks
(b) 1hourto15minutes
(c)2hoursto1day
(d)95pto£3.00
(e)
400mto1.5km
(f)15kgto900g
(h)
8kmto50mm
(i)90minutesto2days
(g)4500mlto2litres
© CORBETTMATHS 2017
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Ratio:Simplifying
Video6onwww.corbettmaths.com
Question5: Expresseachofthefollowingratiosintheform1:n
(a) 2:3
(b)5:4
(c)4:10
(e)8:13 (f)5:81
(g)100:131
(i)25:29 (j)21:40
(d)10:7
(h)200:77
Question6: Expresseachofthefollowingratiosintheformn:1
(a) 7:2
(e)3:10 (b)9:5
(f)19:20 (c)11:3
(g)207:50 (d)5:8
(h)38:55
Apply
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?
© CORBETTMATHS 2017
!
Ratio:Simplifying
Video6onwww.corbettmaths.com
Question6: Shannonisrevisingforhersummerexams.
ThetablebelowshowsthenumberofminutesShannonspendsrevisingoneach
of5evenings.
ItalsoshowsthenumberofminutesShannonspendsrelaxingonthe5evenings.
Shannonwantstospendatleast5minutesrevisingforevery1minuteofrelaxing.
OnwhichdaysdidShannonspendenoughtimerevising?
Question7: Fourteachersareplanningschooltrips.
Thetableshowsthenumberofstudentsandthenumberofteachersplannedto
goonthetrip.
Forevery18studentstheremustbeatleast1teacher.
Whichtripshaveplannedtobringenoughteachers?
Answers
© CORBETTMATHS 2017
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