!
CubeRoot
Video214onwww.corbettmaths.com
Workout
Question1: Workouteachofthefollowing
(a)∛8
(b)∛1
(c)∛0
(d)∛125 (e)∛1000
(f)∛27
(g)∛0
(h)∛64
(i)∛343
(j)∛729
(k)∛216
(l)∛8000
9
15
27
Question2: Belowisalistofnumbers.
0
1
4
7
8
Fromthelistwritedown:
11
20
30
(a) Thecuberootof64
(b) Thecuberootof1
(c) Thecuberootof27000
(d)Thecuberootof512
Question3: Workouteachofthefollowing
Youmayuseacalculator
(a)∛1331
(b)∛13824 (c)∛1728
(g)∛0.125 (h)∛42.875 (i)∛0.064
(d)∛3375 (e)∛2744
(f)∛125000
(j)∛1.728 (k)∛17.576 (l)∛1.953125
Question4: Betweenwhichtwoconsecutiveintegersdoeachofthefollowingliebetween?
e.g.∛200liesbetween5and6
(a)∛50
(b)∛20
(c)∛400
(d)∛5
(e)∛950
(f)∛777
(e)∛90
(f)∛140
Question5: Estimateeachofthefollowing.
Giveeachestimateto1decimalplace.
(a)∛45
(b)∛130
(c)∛500
(d)∛3
Question6: Usingyourcalculator,workouttheanswerstoQuestion5.
© CORBETTMATHS 2016
!
CubeRoot
Video214onwww.corbettmaths.com
Apply
Question1: Jamessaysthecuberootof64is8.
Explainhismistake.
Question2: Megansaysthecuberootof27is9.
Explainhermistake.
Question3: Thecuberootof1is1.
Findanothernumbersothatwhenitiscuberooted,itgivesthesamevalue.
Question4:
Harryhasthoughtofanumber.
Heworksoutthecuberootofthenumber.
Harrysayshisanswerislargerthanhisstartingnumber.
Archiesayshemustbewrong.
ShowthatHarrycouldbecorrect.
Question5: Workoutthefollowingcuberoots
(a)
(b)
(c)
Question6: Shownisacubewithavolumeof8000cm³
Findx
© CORBETTMATHS 2016
(d)