Page 85 - steps 4b 02.pdf

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

DRM32 DRM38
1 a x2__.. b x2-----. c x3-----. d x4~ I , 2, 4 and 5 3
x4 5 10 20 x3 4 8 16 x4 2 6 18 See graph below See table below
i i i Straight line graphs of xi table Xt table
20 40 80
12 24 48
8 24 72
multlpllcatlon tables
80 160 320
36 72 1~
32 qs 128~
24
~
:l -J, 0 (0, 0) (0, 0)
2 In any 2 x 2 square the difference of JO is the some each ~, A~/ J (1, -}) (J, i l
22 .,,
time. : '/ 2 (2, 1) (2, t)
I
3 In any 3 x 3 square the difference is 40 or (JO x 2 x 2). 20 I- 'Fl- 3 (3, It) (3, ~)
I ~/
...:v
I 4 (4, 2) (4, I)
DRM33 18 I .. , 5 (5, 2t) (5, It)
Largest product is 83 x 75 = 6225. I
I I '/ 6 (6, 3) (6, 1-H
2 Smallest product is 578 x 3 = 1734. 16 I I 7 (7, 3t) (7, I ~)
- 1-
I
3 a q2 x 64 = 5888 b 7 4 x 65 = 48 JO 14 ' 8 (8, 4) (8, 2)
I I I q
4 Put digits in descending order o,b,c,d, where a is largest, I I I (q, 4-f) (7, 2t)
d smallest. 12 I JO (10, 5) (10, 2t)
- I I
I I I
DRM34 10 I I ... ~ ~
2 - I
I J +V
8
I I J v
I I I /
6
I J J v . ~ p -
1\9
I I v ~;
4 '..-:::: ~ ~
'I IV / v ~ \C ~
,v IV _,v .--I---"' - .....- 1
VIV / ~ ::::.+- .. \• ~\4
2 6 x3 table.
i--
~~ 7 They are symmetrical
i::--
0
1 2 3 4 5 6 7 8 q 10 about the x J table.
DRM3q
Length of side of square (units) 0 2 3 4
DRM35 Area of square (units) 0 4 q 16
I a I om a cuboid with 6 oblong/rectangular faces, J 2 2 See graph a.
edges which are perpendicular to each other and 3
3 No
right-angled corners meeting at each vertex.
4 Length of side of square (units) 0·5 0·75 J ·25 J ·5 2·5
b I am a triangular prism with 3 congruent oblongs, 2
Area of square (units) 0·25 0·56 I ·56 2·25 6'25
triangular faces and 6 vertices.
c I am a tetrahedron with 4 equal faces which meet at 4 5 See graph b. b Area at squares
vertices and all my angles are acute. 6 No 6 I ~ --
2 Open 7 See graph c. ~ ,
8 a J 0·5 sq units gn- 4 I
3 cylinder ic:
b J 2·3 sq units -"
Oa
c J 4·0 sq units ~.!!. 2
DRM36 0 /
Check practical work. ~
0
2 3 4
DRM37 leng1h of side (units)
I Numbers visiting cinema 2 Numbers visiting cinema a Area of squares c Area of squares
130 130
16 18
120 l-+--+--+-~-+--+-+-t-+-1 120
I I
OI 110 ~-+--+-+-t-+-+--+-+--'11-1 1-
" 110 V- I I
~ 100 ~ 100 !;;;; ~ 14 14
I : ,-_~-,___.__,_...._._._._~ _ __,,..... I .. qo 1..; I I
80
-! 70 ~~-T--1-1--4-1--1 a. 70 ..... ..... 12 12
& 60 ~f--+-t--l-l--4-l--t-+-tr-I ~ 80 I J I
- f- i"
so -- 0 50 I ·c: 7
40 ~1--1--t--1-1--4-1--t-+-tl-I ! 40 I " 10 ~
30 E 30 I- j
c
20 ~l-+-t-+-tl-l--1 i - 1- " 20 j e 8 I
g
10 ....... ~-+-+---<t-+-0---+-<--4-< 10 I/ .. I
a
0~--1-_._.._.~_.__.__.,_..-1 0 0
~::lco,...coo-o-NM~ 6
~~!!:!!:!!:!!:~~~~~ I ~ I
year 0 -
I
4 4 - --
I J
t-- ~- v
/
v J
2 J 2 ~- '--
....,.v ,/
0 0
2 3 4 2 3 4
length of side (units) leng1h of side (unlls)
@ HarperCollinsPub/ishers Ltd 1997 STEPS 4b Differentiation Pack