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,forevery2orangesweetsthereare3yellowsweets.

• Thereisthesamenumberofsweetsineachbox.

• Thereare12yellowsweetsinthesecondbox.

Howmanysweetsareinthefirstbox?

My larger rectangle is 4 times the size of the

smaller one.

The perimeter of the larger rectangle is 48 cm.