Page 86 - steps 4b 02.pdf

• Answers 4b • • • • • • • • • • • • • • • • • 5

ORM 40, 41, 42 DRM47
Open The number not eliminated is 21 .

DRM43 DRM48
1 q; Game

DRM4q
3
3
3
3
a 8cm ; 8cm + 8cm 3 8cm + 8cm + 8cm 3
3
3
y B 0 =8cm x2 =8cm x3
= 16cm 3 = 24cm 3
~ stripes checks b qcm ; =qcm x2 =Qcm x3
2 3 3 3 3 3 3
qcm + qcm
qcm + qcm + qcm
spots
3
0
3
rs
= 18cm 3 = 27cm 3
yellow y +spots y +stripes y +checks
brown b +spots b +stripes b +checks 3 a 4cm 3
b4
orange o +spots o +stripes o +checks 3
c 4cm x 4 = 16cm 3
DRM44 DRM50
1 16£ITb\ 2 a 7 cubes missing volume: 18 cm3
~ b 8 cubes missing volume: 18 cm3
c 12 cubes missing
volume: 36 cm3
d Q cubes missing volume:30 cm 3
~ e 20 cubes missing volume: 27 cm3
~ volume: 24 cm3
f Q cubes missing
~~ DRM51
~~ 1 type of box boxes on base: boxes in cube
fruit 'n' fibre: 5 x JO= 50 50 x 5 = 250
crunchy flakes: 5 x 20 = 100 JOO x 5 = 500
EEl~~~ soap powder: 4 x 12 = 48 48x3= 144
~~~~ 8x6=48 48 x 16 = 768
tea bags:
icing sugar: 11x16 = 176 176 x 6 = 1056
~~ ~ 160 x 50 = 8000
stock cubes (8): 10 x 16 = 160
b r
r r
b
2 Open
2 Number of quarters coloured red 0 1 2 3 4 DRM52
Number of shirts 1 4 6 4 1
~ = 2 biscuits ~ = 6 biscuits
3 There is symmetry in the pattern.
2 ~ = 2 photos ~ = 16 photos
DRM45 3 1 = 2 ducks ~ = 12 ducks
6
6 and 4 make 46 and 64.
4 ~ = 3 coaches ~ = 15 coaches
2 I , 4, 5 make 145, 154, 415, 451 , 514, 541.
3 There are 24 ways with any 4 cards.
4 True:
number of cards number of ways
I 1 or Ix I
2 2 or 2 x 1
3 6 or 3 x 2 x I 2 a 5 of these: 60 1 24 11 2 1 4 1 2 1 6
; TS ;
;
; q
;
4 24 or 4 x 3 x 2 x 1 36 36 6 3
60 2 12 2 3 2 2 2 1 2 4
5 120 or 5 x 4 x 3 x 2 x 1 b5ofthese: 24 ; 24 ; 5 ; 4; 2 ; a
6 720 or 6 x 5 x 4 x 3 x 2 x 1
7 5040 or 7 x 6 x 5 x 4 x 3 x 2 x 1
DRM46
1 6, 12, 18, 24, 30, 36, 42,48, 54, 60
2 remainder I : 7, 13, 37, 43, 55
remainder 2: 14, 20, 38, 50, 62
remainder 3: q, 21 , 33, 45, 51
remainder 4: I 0, 34, 40, 58
- 3
remainder 5: 5, 17, 2q, 35, 41
The numbers are all odd. They are all I less than a
multiple of 6.

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