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RESOURCE MASTER 57 RESOURCE MASTER 58 RESOURCE MASTER 5q
DJ-~ DJ [gJ 00 DJ [gJ
Practical: investigate the fewest moves needed to move a £0-q2 a £4·50 a £7·02 a 22% a 220ml
cubes from one spike to another, using given rules.
b 68g b 126g b 3%g b 72% b 720ml
c 0·3m c 0·75m c 6-48m c 47% c 470ml
d 10% d 100ml
Number of beads 1 2 3 4 5 6 7 8 q 10 ~ [ID [ID
Fewest moves 1 3 7 15 31 63 127 255 511 1023 300g 10ml a £0·17 e 53% e 520ml
f 80% f 800ml
b 24g
c 0·5m 00
Open: explaining the pattern found.
a 75%; 750ml
[I] ~ ~ b 45%; 450ml
a £1·75 575ml Either, they
Two possible formulae: both amount c 65%; 650ml
b 0·525g
f = 2p + 1 , where f is the fewest moves and p is the previous to the same. d 15%; 150ml
number of moves. c 350m
e 85%; 850ml
f = 2n - 1, where f is the fewest moves and n is the number of
beads.
~
Open: draw containers with
liquid inside and estimate
amount at a percentage of
the total capacity.
RESOURCE MASTER 61
Open: drawing conclusions
from a percentage bar
chart.