Ratio and proportion problems 1 Whitney buys 6 cans of lemonade for £3 a) How much do 12 cans cost? b) How much do 3 cans cost? c) How much do 15 cans cost? 2 The ratio of red to green grapes in a bowl is 3 : 1 a) Explain what this means. b) There are 12 more red grapes than green grapes. What is the total number of grapes in the bowl? 3 Amir is making some chocolate chip biscuits. He has this list of ingredients to make 6 biscuits. a) How much of each ingredient does Amir need to make 2 biscuits? butter g plain flour g sugar g chocolate chips g b) How much of each ingredient does Amir need to make 10 biscuits? butter g plain flour g sugar g chocolate chips g c) Amir has 240 g of chocolate chips. What is the maximum number of biscuits he can make? © White Rose Maths 2019 £3 Chocolate chip biscuits (makes 6) 120 g butter 72 g sugar 180 g plain flour 60 g chocolate chips
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Ratio and proportion problems
1 Whitneybuys6cansoflemonadefor£3
a) Howmuchdo12canscost?
b) Howmuchdo3canscost?
c) Howmuchdo15canscost?
2 Theratioofredtogreengrapesinabowlis3:1
a) Explainwhatthismeans.
b) Thereare12moreredgrapesthangreengrapes.
Whatisthetotalnumberofgrapesinthebowl?
3 Amirismakingsomechocolatechipbiscuits.
Hehasthislistofingredientstomake6biscuits.
a) HowmuchofeachingredientdoesAmirneedtomake
2biscuits?
butter g plainflour g
sugar g chocolatechips g
b) HowmuchofeachingredientdoesAmirneedtomake
10biscuits?
butter g plainflour g
sugar g chocolatechips g
c) Amirhas240gofchocolatechips.
Whatisthemaximumnumberofbiscuitshecanmake?
©WhiteRoseMaths2019
£3
Chocolate chip biscuits (makes6)
120gbutter
72gsugar
180gplainflour
60gchocolatechips
4 Dexterhassome20pand50pcoinsinajar.
Foreverythree20pcoinshehasone50pcoin.
Thereare12coinsinthejarintotal.
Howmuchmoneyisinthejar?
5 Adrinkismadeusing3partsorangejuiceto2partslemonade.
Esthermakes1.2litresofthisdrink.
Howmuchorangejuicedoessheneed?
ml
6 Twoshopssellthesamecerealbutindifferent-sizedboxes.
Shop A
500gofcornflakes
£2.10
Shop B
750gofcornflakes
£3.30
Whichshopisbettervalueformoney?Shop
Explainwhy.
©WhiteRoseMaths2019
7 Doradrawstwosimilarrectangles.
Thelengthandwidthofbothrectanglesareevennumbers.
Whatisthelargestpossibleareaforthesmallrectangle?
cm2
8 Aishahastwoboxesofsweets.
• Inthefirstbox,theratioofredsweetstogreensweetsis3:1
• Inthesecondbox,forevery2orangesweetsthereare
3yellowsweets.
• Thereisthesamenumberofsweetsineachbox.
• Thereare12yellowsweetsinthesecondbox.
Howmanysweetsareinthefirstbox?
My larger rectangle is 4 times the size of the
smaller one.
The perimeter of the larger rectangle is 48 cm.
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