Page 91 - steps 4b 02.pdf

• Answers 4b • • • • • • • • • • • • • • • • • 1 O
DRM83 DRM86
1 Brazil 2800 + 80 = 2880 122km
Denmark 600 + 270 = 870
Italy (60 x 50) + (60 x 6) = 3000 + 360 = 3360 2 8q4km
Russia (70 x 40) + (70 x 7) = 2800 + 4qo = 32qo 3 a 122qkm
Spain (80 x 50) + (80 x 5) = 4000 + 400 = 4400 b 1348km
c 163qkm
2 a 75 x 50 d 1257km

DRM87
Open
2 Claymore 1 ·5 m
Braveheart 1 ·8 m
Thistle 1 ·3 m
Rob Roy 1·7m

DRM88
Game
DRM84
1 row 1: 13 DRMsq
row 2: 22
a 26 + 3 = 8·6666666
row 3: 44 b 47 + 6 = 7·8333333
row 4: 88
2 a 48 + 5 = q.5
2 column 1: 32 84 + 5 = 16·8
column 2: 48 b sq+ 5 = 13·8
column 3: 80 qs + 6 = 15·8
column 4: 112 c 83 + 6 = 13·833333
3 ROW 68 + 3 = 22·666666
I 3 5 7 q II 13 15 ORM qo
2 6 10 14 18 22 26 30 1 a 13
z b 15
:E 4 12 20 28 36 44 52 60
3 c 14
0 8 24 40 56 72 88 104 120
0 d 12
16 48 80 112 144 176 208 240 eq
32 q5 160 224 288 352 41 6 480 2 number digital sum quotient
64 1q2 320 448 576 704 832 qso 3Q 3 + q = 12 12
58 5 + 8 = 13 13
4 In row 1 only. 6Q 6 + q = 15 15
77 7 + 7 = 14 14
5 row 1: Add 2 to preceding number.
84 8 + 4 = 12 12
row 2: Add 4 to preceding number. q
36 3+6= q
row 3: Add 8 to preceding number.
row 4: Add 16 to preceding number. 3 The quotient equals the sum of the digits.
6 Each new number is double the previous number in that 4 a 747 Yes
column. 5 Yes it works for 6-digit numbers.
7 a Yes
b No DRM ql

DRM85 a b c
1 b 54·5 cm; 55 cm 0 0 • • 0 0 • 0 • 0 0 0 'Q e o ee o
c 30·75cm; 31 cm 0 • OjO • 0 0 • • 0 • 0 .·~ ... ooo e
i
d n-6 cm; 80 cm • 0 • • 0 • 0 0 0 • 0 • oo''G. ·., •• o
e 162·8cm; 163cm • • i . • 0 0 0 • 0 • e o e 'Q.O e
f 121 ·33333cm; 121 cm 0 0
0 • 0 0 • 0 0 • • 0 • 0 e o e oQ. e
2 1q4 + 7 0 = 2 6 4 represents 264cm or 2·64m 0 • 0 • • · .... 'Q
0 0 . 1. 0 0 • 0 • 0 0 0 ..
1q4 + 4 6 = 2 4 0 represents 240cm or 2·4m
6 0 5 + 5 8 = 6 6 3 represents 663 cm or 6·63 m 2
6 0 5 + 7 0 = 6 7 5 represents 675 cm or 6·75 m a b c
6 O 5 + 4 6 = 6 5 I represents 651 cm or 6·51 m
3 6 O + 5 8 = 4 1 8 represents 418 cm or 4· 18 m
3 6 O + 7 O = 4 3 O represents 430 cm or 4·3 m
3 6 0 + 4 6 = 4 0 6 represents 406 cm or 4·06 m.

3 Open
@ HarperCollinsPub/ishers Ltd 1997 STEPS 4b Differentiation Pack