ANSWERS TO SAQs
ANSWERS
The following graphs have all been drawn on the same graph paper that you will probably
be drawing your graphs on. However, many will have been shrunk to fit them onto the
pages that follow.
The scales used are scales which work. However, other scales can work just as well. The
graphs shown in these answers are not the only correct versions!
? 1: Answers
1.
2.
3.
4.
5.
6.
7.
8.
OUTCOME 2: NUMERACY/INT 2
57
ANSWERS TO SAQs
? 2: Answers
1.
Vertical Scale: 10 small squares represent 10 documents so 1 square represents 1
document. Bars could have been in alphabetical order or in order of size.
2.
Vertical Scale: 20 small squares represent 1,000 people. 1 square represents 50
people so your chart can only be accurate to the nearest 50.
e.g.
58
2,951 → 2,950
3,417 → 3,400
2,567 → 2,550
etc.
OUTCOME 2: NUMERACY/INT 2
ANSWERS TO SAQs
? 3: Answers
1.
Memos:
108
× 100 = 31.8%
340
Memos
Reports
Notices
Letters
Invoices
31.8% → 31.75
25.6% → 25.5
6.2% → 6.25
24.7% → 24.75
11.8% → 11.75
Vertical Scale: 20 squares represents 5%
4 squares → 1%
2 squares → 0.5%
1 square → 0.25%
These could also be graphed
(a)
in order of size, or
(b)
in alphabetical order.
2.
Total:
20,867
Thursday:
2,951
× 100 = 14.1%
20,867
Friday:
Saturday:
Sunday:
Monday:
16.4%
28.8%
28.4%
12.3%
Vertical Scale: 20 squares represents 5%
4 squares → 1%
2 squares → 0.5%
1 square → 0.25%
OUTCOME 2: NUMERACY/INT 2
59
ANSWERS TO SAQs
? 4: Answers
1.
The slightly wider space between Week 1 and Week 2 is optional.
2.
Vertical Scale:
20 squares → 5 medals
4 squares → 1 medal
NO. OF MEDALS
A smaller scale might have been too small.
60
OUTCOME 2: NUMERACY/INT 2
ANSWERS TO SAQs
? 5a: Answers
1.
Vertical Scale:
2 squares → 1thousand
1 square → 500
2.
Lines drawn at:
USA: 15, 38, 52
Russia: 8, 25, 43
Germany: 6, 11
China: 12, 22
UK: 3, 5, 11
Silver
Vertical Scale:
20 squares → 10 medals
2 squares → 1 medal
OUTCOME 2: NUMERACY/INT 2
61
ANSWERS TO SAQs
? 6: Answers
1.
Personal Stereos
TV Sets
Video Recorders
Hi-fis
1995
Output %
23.4
45
18.6
35.8
7.3
14.0
2.7
5.2
1996
Output %
25.2 35.6
18.6 26.3
8.5 12.0
18.5 26.1
1997
Output %
19.7
28.1
20.5
29.2
9.4
13.4
20.6
29.3
NB: Although % is
calculated to one
decimal place, in
practice you can
usually only show the
nearest whole number
on any graph.
2.
Gold
Silver
Bronze
62
USA
No. %
15 28.8
23 44.2
14
Russia
No. %
8 18.6
17 39.5
18
OUTCOME 2: NUMERACY/INT 2
Germany
China
No. %
No. %
6
54.5 12 54.5
0
10
5
0
UK
No. %
3
27.3
2
18.2
6
ANSWERS TO SAQs
? 7: Answers
1.
Interval
f
290-300
300-310
310-320
320-340
340-380
380-420
7
12
19
16
10
8
Width Column
height
10
7
10
12
10
19
20
8
40
2½
40
2
(=f)
(=f)
(=f)
(=f ÷ 2)
(=f ÷ 4)
(=f ÷ 4)
OUTCOME 2: NUMERACY/INT 2
63
ANSWERS TO SAQs
2.
64
Interval
Width
f
20-30
30-40
40-60
60-80
80-100
100-150
10
10
20
20
20
50
10
15
30
50
40
40
Column
height
10
15
15
25
20
8
OUTCOME 2: NUMERACY/INT 2
same as f
same as f
=f ÷ 2
=f ÷ 2
← highest column height
=f ÷ 2
=f ÷ 5
ANSWERS TO SAQs
3.
Interval
Width
f
50-100
100-150
150-200
200-300
300-450
450-600
50
50
50
100
150
150
15
25
30
80
55
15
Column
height
15
25
30
40
18.3
5
(=f)
(=f)
(=f)
(=f ÷ 2) ← highest column height 40
(=f ÷ 3)
(=f ÷ 3)
OUTCOME 2: NUMERACY/INT 2
65
ANSWERS TO SAQs
? 8: Answers
Angle sizes (to nearest degree)
1.
2.
Management 47°, Clerical 72°, Production 200°, Sales 21°, Distribution 21°
Foods 120°, Detergents 50°, Cosmetics 47°, Paper 40°, Plastics 103°
? 9: Answers
1.
Vertical Scale:
20 squares → 1 £million
2 squares → 0.1 (£m)
1 square → 0.05
Interpolation is NOT possible with this graph.
66
OUTCOME 2: NUMERACY/INT 2
ANSWERS TO SAQs
2.
Vertical Scale:
10 squares → 10 cm
1 square → 1 cm
Horizontal Scale:
10 squares → 5 days
2 squares → 1 day
Interpolation is possible,
but approximate.
3.
Vertical Scale:
2 squares → 1 km
ROAD RACE PROGRESS
Horizontal Scale:
20 squares → 15 mins
4 squares → 3 mins
Interpolation is possible,
but approximate.
OUTCOME 2: NUMERACY/INT 2
67
ANSWERS TO SAQs
? 10: Answers
1.
UCB (kg)
(less than)
30
32
34
36
38
40
42
44
cf
0
17
42
85
137
176
186
194
Vertical Scale:
1 square → 2 children
Horizontal Scale:
10 squares →1 kg
1 square → 0.1 kg
68
OUTCOME 2: NUMERACY/INT 2
ANSWERS TO SAQs
2.
UCB (kg)
(less than)
100
120
140
160
180
200
220
240
260
280
cf
0
21
68
163
236
298
348
379
398
408
Vertical Scale:
2 squares → 5 people
Horizontal Scale:
1 square → £1
OUTCOME 2: NUMERACY/INT 2
69
ANSWERS TO SAQs
? 11: Answers
1.
Vertical Scale: 1 square → £0.2 m
Horizontal Scale: 1 square → £0.1 m
2.
Vertical Scale: 1 square → 1 person
Horizontal Scale: 2 squares → 0.1 km
70
OUTCOME 2: NUMERACY/INT 2
ANSWERS TO SAQs
3.
Vertical Scale: 1 square → 0.2 MWh
Horizontal Scale: 1 square → 0.1°
1
shows a positive correlation.
2 and 3 show negative correlation.
The strongest linear correlation is 3 because the dots are the nearest to lying on a straight
line. The next strongest is 1. 2 is the weakest of the three, but it is still quite strong.
OUTCOME 2: NUMERACY/INT 2
71
ANSWERS TO SAQs
?12: Answers
1.
5
6
7
8
9
10
0
2
1
1
0
2
4
2
2
3
2
4
9
6
8
3
2
9
8 9 9
4 5 5 6 7
2 4 4 8
5  0 means a time of 5.0 minutes
2.
39
40
41
42
43
44
3 4 7
1
2
0
1
3
4
0
3
5
4
1
7
6 8 9
5 6 9 9
1 2 2 3 5 7 8 9
9
39  3 means 393 units of output
? 13: Answers
Examples of correct tables (other versions exist)
1.
ABC
PQR
XYZ
2.
72
Turnover
(£m)
Profits
(£m)
23.4
25.8
10.9
4.6
7.3
2.7
Time (hours)
860–869
870–879
880–889
890–899
900–909
910–919
920–929
930–939
940–949
f
2
3
6
7
11
7
7
3
2
48
OUTCOME 2: NUMERACY/INT 2
Workforce
(people)
102
67
43
ANSWERS TO SAQs
3.
Production
M
F
Adults
Juveniles
Total
4.
Weights (g)
100.0–101.9
102.0–103.9
104.0–105.9
106.0–107.9
108.0–109.9
110.0–111.9
112.0–113.9
114.0–115.9
116.0–117.9
118.0–119.9
350
50
600
150
50
Admin
M
100
50
300
F
110
40
Sales
M
F
40
10
100
30
20
780
220
1000
f
3
0
5
3
3
2
3
6
11
6
42
? 14: Answers
START
V
CALL FAHR.
TEMP. F
V
CALCULATE
F – 32
V
MULTIPLY
RESULT BY 5
V
DIVIDE
BY 9
V
WRITE DOWN
ANSWER
V
1.
STOP
OUTCOME 2: NUMERACY/INT 2
73
ANSWERS TO SAQs
START
V
2.
LOOK AT
ENGINE SIZE
V
YES
COST IS
4,000 DAILY
V
IS SIZE
<1 LITRE?
NO
V
V
DAILY COST
5,000
V
V
MULTIPLY
ANSWER SO
FAR BY NO. OF
DAYS’ HIRE
V
ADD ON 1,000
FOR INS.
V
STOP
START
V
NO
CHARGE
= £15
CHARGE =
£1.50 TIMES
NO. OF MILES
V
V
STOP
74
YES
V
V
NO CHARGE
IS DIST
>10 MILES?
V
NO
YES
V
IS DIST
>3 MILES?
V
3.
OUTCOME 2: NUMERACY/INT 2
ANSWERS TO SAQs
START
V
NO
IS
ORIGINAL
PRICE
<£120?
YES
NO
V
YES
DISCOUNT
= 7½%
DISCOUNT
= 10%
DISCOUNT
= 12.5%
V
V
V
V
SALE PRICE ON TICKET =
ORIGINAL PRICE – DISCOUNT
V
V
DISCOUNT
= 5%
IS
ORIGINAL
PRICE
<£80?
V
YES
NO
V
IS
ORIGINAL
PRICE
<£40?
V
V
4.
STOP
OUTCOME 2: NUMERACY/INT 2
75