Download Squaring Numbers

!
SquaringNumbers
Videos226and227onCorbettmaths
Workout
Question1: Writeeachofthefollowingasmultiplications
e.g.5²=5x5
(a)3²
(b)1²
(c)6² (d)9²
(e)10²
(f)4² (g)12²
Question2: Writeeachofthefollowingusingthe“squared”symbol
e.g.8x8=8²
(a)2x2
(b)5x5
(c)11x11 (d)35x35 (e)20x20 (f)13x13 (g)7x7
Question3: Workouteachofthefollowing
(a)5²
(b)3²
(c)8² (d)9²
(e)2²
(f)10²
(g)7²
(h)1²
(i)4² (j)6² (k)11²
(l)20²
(m)12²
(n)50²
Question4: WritedowntheRirst10squarenumbers
Question5: Workouteachofthefollowing.
Youmaynotuseacalculator
(a)14²
(b)18²
(c)21²
(d)27²
(e)35²
(f)19²
(g)28²
(h)43²
(i)56²
(j)81²
(k)92²
(l)99²
(m)120²
(n)163²
Question6: Workouteachofthefollowing.
Youmayuseacalculator
(a)73²
(b)59²
(c)208²
(d)199²
(e)6.5²
(f)8.2²
(g)7.8²
(h)0.7²
(i)27.6²
(j)0.45²
(k)19.11²
(l)800²
(m)1000²
(n)1111²
16
121
Apply
Question1: Writedownthesquarenumbersfromthelistbelow
91
© CORBETTMATHS 2016
101
10
2
4
81
200
90
!
SquaringNumbers
Videos226and227onCorbettmaths
Question2: 100canbewrittenasthesumoftwodifferentsquarenumbers.
Whichtwosquarenumbers?
Question3: 85canbewrittenasthesumoftwosquarenumbersintwodifferentways.
Showhowthiscanbedone.
Question4: Tomsays“ifyousquareanumbertheanswerisalwaysbigger.”
ShowTomisincorrectusingtwodifferentexamples.
Question5:
Jamesisaddingupconsecutivetriangularnumbers
(a)WritedowntheRirst10triangularnumbers(youmayresearchthis)
(b)AddtogethertheRirstandsecondtriangularnumbers.
(c)Addtogetherthesecondandthirdtriangularnumbers.
(d)Addtogetherthethirdandfourthtriangularnumbers.
(e)Whatdoyounoticeaboutyouranswers?
(f)Willthisalwayshappen?Canyouexplainwhy?
Question6: Rebeccasays“whenyouaddthreeconsecutivesquarenumbers,theansweris
alwaysodd.”
IsRebeccaright?Explainyouranswer.
Question7: Duncanhasansweredthequestionsbelow.
Canyouspotanymistakes?
© CORBETTMATHS 2016