Find pairs of values (2)

1 Class6aretryingtosolveanumberpuzzle.

+ + =10

a)

DoyouagreewithDexter?

Explainwhy.

b)

WhatisthevalueofthecircleinDora’snumberpuzzle?

=

c) Findotherpairsofvaluesthatthetriangleandcirclecouldequal.

Findthreepairs.

= = = =

= =

2 aandbarewholenumbers.

2a+b=14

Completethetabletoshowdifferentpossiblevaluesforaandb.

a 0 1 2 3 4 5 6 7

2a 0 2

b 14

a + b 14 14 14 14

3 canddarebothintegerslessthan15butgreaterthanzero.

3c–d=2

Completethetabletoshowdifferentpossiblevaluesforcandd.

c 1 2 3 4 5

3c 3

d 1

3c – d 2 2 2

b) Explainwhytherearenootherpossiblevaluesforcandd.

©WhiteRoseMaths2019

The triangle could be 3 and the circle could be 4

Dexter

The triangle is worth 4

Dora

4 xandyarebothmultiplesof5lessthan100

If2x=y,circlethepossiblevaluesofxandy.

5 Hereisarectangle.

xandyarebothintegers.

Therectanglehasaperimeterof28cm.

a) Writeanequationtorepresenttheperimeteroftherectangle.

b) Listallthepossiblepairsofvaluesforxandy.

Compareanswerswithapartner.Howdoyouknowyouhave

foundallthepossiblevalues?

©WhiteRoseMaths2019

6 Aishaisbuyingsomestationeryforschool.

Shespendsexactly£1

Listthepossiblecombinationsofpencils

andpensthatAishacouldhavebought.

7 Ronhasfourdigitcards.

• Twoofthecardshavethesamevalue.

• Allofthecardsarelessthan10butgreaterthanzero.

• Allofthecardsareodd.

• Thesumofthefourcardsis24

Findtwopossiblesetsofcards.

Set 1

Set 2

8

2ab=48

a) Findapairofpossiblevaluesforaandb.

a= b=

b) Workwithapartnertofindasmanypairsofvaluesasyoucan.

y

x

pen15p

pencil

10p

x=20,y=20

x=20,y=10

x=10,y=20

y=90,x=45

x=35,y=70