Square numbers

1 a) Use16counterstomakethesearrays.

b) Whatdoyounoticeabouttheshapeofoneofthearrays?

c) Is16asquarenumber?Howdoyouknow?

2 a) Isitpossibletomakeasquarearraywith8counters?

b) Isitpossibletomakeasquarearraywith9counters?

c) Whichnumberisasquarenumber?

Howdoyouknow?

3 Whichofthesenumbersaresquarenumbers?

Circleyouranswers.

4 10 18 25

4 Dextermakesasquareusing12counters.

WhatmistakehasDextermade?

5 Whitneyisworkingoutacalculation.

WhatmistakehasWhitneymade?

©WhiteRoseMaths2019

8 × 8 = 16

12 is a square number as I

can make the counters into a square.

©WhiteRoseMaths2019

6 Thearraysbelowshowasequence.

a) Completethenumbersentences.Usethearraystohelpyou.

1×1= 2×2= 3× = × =

b) Whatdothesenumbershaveincommon?

c) Drawthenexttwonumbersinthesequenceandwriteanumber

sentenceforeach.

d) Whatwouldthenextfournumbersinthesequencebe?

, , ,

7 Completethestatements.

a) 62= d) 02=

b) 122= e) 2=100

c) =92 f) 64= 2

8 a) Writethenumbersinthetable.

0 3 4 11 49

Factorof24 Notafactorof24

Squarenumber

Primenumber

b) Writeadifferentnumberineachpartofthetable.

9 Daniisthinkingofasquarenumberwith2digits.

Thedigitsaddtogethertomakeanothersquarenumber.

Whatcouldthenumberbe?

10 Huaniscelebratinghisbirthday.

Hisageisasquarenumber.

Lastyearhewasamultipleof12

Nextyearhewillbeamultipleof10

HowoldisHuan?