Core Skills
Numeracy
Outcome 2
Interpret straightforward
graphical information
[INTERMEDIATE 1]

© Learning and Teaching Scotland 2004
This publication may be reproduced in whole or in part for educational purposes by educational
establishments in Scotland provided that no profit accrues at any stage.
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NUMERACY: OUTCOME 2 (INTERMEDIATE 1) TEXT VERSION
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CONTENTS
Section 1 Tables
1
Section 2 Further graphs
2.1 Conversion graphs
2.2 Single-line graphs
2.3 Multiple-line graphs
2.4 Distance–time graphs
5
11
15
18
Section 3 Charts
3.1 Bar charts
3.2 Pie charts
21
28
Section 4 Diagrams
4.1 Flow diagrams
4.2 Network diagrams
34
40
Outcome 2 SAQ answers
43
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TABLES
SECTION 1
Tables
All sorts of everyday information can be found displayed in tables:
 bus and train timetables
 car adverts in newspapers listing year of manufacture, details of car
and price
 hotel, flight and cost information in holiday brochures, etc.
A table is a grid of information, laid out in rows and columns.
Rows go across the way. Columns go up and down the way.
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TABLES
Example 1a
Here is a typical table from a holiday brochure.
Tusan Beach Resort
All inclusive code;
N425U
Twin/
Double
7 nights
room
14 nights
1/511/5
12/518/5
MAY
19/521/5
22/526/5
27/53/6
4/615/6
JUNE
16/622/6
23/629/6
30/66/7
JULY
7/713/7
14/720/7
21/718/8
AUGUST
19/828/925/8
1/9
529
709
545
719
559
785
655
909
645
899
599
855
609
865
619
929
685
1009
705
1029
755
1095
795
1109
765
1019
695
939
1st child
7/14 nights
139
139
139
199
199
139
139
139
199
199
239
239
199
199
2nd child
7 nights
14 nights
275
295
275
295
275
295
389
475
389
475
359
439
359
439
359
439
389
475
389
475
415
499
415
499
389
475
389
475
Example 1b
From the table in Example 1a, find out:
(a)
(b)
(c)
the name of the resort
the two possible lengths of holiday
the resort code number.
Solution
(a)
(b)
(c)
Tusan Beach Resort
7 nights or 14 nights
N425U
Finding information from a table usually means linking up a row with a
column. A row and a column always meet at a specific value.
Example 1c
Look at the table in Example 1a again. All prices are per person. Suppose
we want to rent a double room for 14 nights from 24 May. We can find the
cost per person by linking a row and a column.
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TABLES
Solution
First, locate the correct row – the 14 nights row. (The second row of
prices.)
Then, locate the correct column : 22/5–26/5 includes our departure date of
24 May. (The fourth column of the table.)
Run one of your fingers along the second row and another down the fourth
column. They meet at ‘909’. The price per person is £909.
Example 1d
In the same way, find the price per person for a 7-night holiday departing
on 20 August.
Solution
£765 per person.
Example 1e
Calculate the cost of a holiday at the Tusan Beach Resort for two adults
and two children. They too want a 7-night holiday departing on 20 August.
Solution
Price per person
Ist child
2nd child
= £765
= £199
= £389
Cost of holiday
= 765
765
199
389
£2118
(Remember to include 765 twice as there are two adults.)
Total cost of holiday = £2118.
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TABLES
Questions 1
Village Resort
Self-catering Code: G12/574
Studio
(2 adults sharing)
Studio
(3 adults sharing)
1 bedroom
(4 adults sharing)
2 bedrooms
(4 adults sharing)
2 bedrooms
(5 adults sharing)
3 bedrooms
(6 adults sharing)
1st child
2nd child
7 nights
14 nights
7 nights
14 nights
7 nights
14 nights
7 nights
14 nights
7 nights
14 nights
7 nights
14 nights
7/14 nights
714 nights
16/521/5
399
529
379
469
389
495
389
505
389
479
399
505
119
239
MAY
22/526/5
499
575
459
515
475
539
479
549
469
519
485
549
149
299
27/53/6
355
429
335
385
345
409
349
415
345
389
355
409
119
239
4/612/6
369
445
349
399
359
419
359
429
359
409
389
429
119
239
JUN
13/619/6
389
465
369
425
379
445
385
449
379
429
389
449
119
239
20/629/6
425
499
405
455
415
475
419
479
415
465
425
485
119
239
30/610/7
439
539
415
489
425
509
429
519
425
495
435
519
119
239
JUL
11/717/7
509
649
475
569
489
605
499
619
485
575
499
609
119
239
18/718/8
545
679
499
595
519
635
529
645
509
605
529
639
149
299
18/825/8
528
645
485
569
505
599
509
615
495
569
515
605
149
299
AUG
26/81/9
495
569
459
515
479
539
485
549
455
505
469
529
119
239
In this exercise you will have to take great care locating the correct row.
The rows depend on 7- or 14-night holidays. They also depend on both
the type of accommodation and the number of adults sharing.
1.
Find the price per person in each of the following:
(a)
(b)
(c)
(d)
2.
adults
adults
adults
adults
sharing
sharing
sharing
sharing
2
3
a
a
bedrooms for 14 nights departing 15 June
bedrooms for 7 nights departing 1 September
studio for 7 nights departing 10 July
studio for 14 nights departing 20 August
Find the total cost of the following holidays:
(a)
(b)
4
5
6
2
3
4 adults sharing 2 bedrooms for 7 nights departing 15 July
2 adults and 4 children sharing 3 bedrooms for 14 nights
departing 22 August. (Children count as adults when locating
correct row. 3rd and 4th children cost same as 2nd child.)
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2/98/9
439
515
419
469
429
499
435
499
445
495
455
515
119
239
FURTHER GRAPHS
SECTION 2
2.1 Conversion graphs
These are the most straightforward of all graphs. For example, they show
conversion between different currencies. They also show direct
relationships between items bought and price paid. A convers ion graph is
a single straight line.
This graph shows the conversion between pounds Sterling and Danish
kroner. From the three marked points on the graph we can tell that :
£1 = 10 kr, £4 = 40 kr, 55 kr = £5.50
Can you work out the value of (a) £3.50
(b) 60 kr?
Solution
(a) 35 kr
(b) £6.00
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FURTHER GRAPHS
Example 2.1b
This is a very similar graph, but the squares are smaller. This makes the
graph a little harder to read, but it allows us to read more detail from it.
(a)
(b)
(c)
How many pesos do you get for £4?
How many pesos do you get for £2?
How many pesos do you get for £1? If this is hard to read from
the graph, work it out from question (b).
Solution
(a) 60 pesos
6
(b) 30 pesos
(c) 15 pesos
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FURTHER GRAPHS
Example 2.1b
Look at the previous graph. How many pounds (£) are worth
(a)
150 pesos
(b)
120 pesos?
Solution
(a)
£10
(b)
£8
Look at the £/pesos graph again. Along the horizontal scale (£) five small
boxes make £2. So each box (or ‘division’) is worth 40p (5 x 40p = £2).
On the vertical scale (pesos) four divisions make 20 pesos. So each
division is worth 5 pesos.
Using the information we can work out that
£2.40 = 36 pesos
£3.20 = 48 pesos
£5.60 = 84 pesos
Check this on the graph.
Similarly,
35 pesos = £2.33
65 pesos = £4.40
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FURTHER GRAPHS
Questions 2.1
1.
How many Saudi Arabian riyals do you get for
(a)
£1
(b)
£2
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(c)
£8
(d)
£12?
FURTHER GRAPHS
2.
The ready reckoner graph shows the cost of buying sugar.
(a)
(b)
(c)
What is the cost for 1 kg of sugar (1000 g)?
What does one division on the horizontal scale represent?
What does one division on the vertical scale represent?
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FURTHER GRAPHS
(d)
Find the cost of
(i)
(ii)
(e)
How much sugar can be bought for
(i)
(ii)
10
600 g of sugar
100 g of sugar
16p
56p
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FURTHER GRAPHS
2.2 Single-line graphs
Line graphs are used to display all sorts of informat ion.




a patient’s temperature
hours of sunshine at a resort
the performance of the stock market
sales figures in a company.
A line graph displays information about one commodity. A line graph
shows changes in that commodity over time.
Using our skills in reading scales we can answer questions from graphs.
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FURTHER GRAPHS
Example 2.2a
(a)
(b)
(c)
(d)
(e)
(f)
(g)
What does one division represent on the vertical scale?
What were the sales figures for ice-creams in July?
Which month had the lowest sales?
What was the sales figure in that month?
In which months were sales at least 10,000?
Why do you think they were so high then?
Between which two months was the greatest slump in ice-cream
sales?
Solution
(a)
(b)
(c)
(d)
(e)
(f)
(g)
500
12,000
February
500
July, August and September
They are holiday months or summer weather
October and November
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FURTHER GRAPHS
Questions 2.2
The graph shows the average monthly temperature in degrees Celsius in
New York.
1.
2.
Which is the hottest month of the year?
In which months is the average temperature below freezing point?
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FURTHER GRAPHS
3.
4.
Which two months have the same average monthly temperatures?
What is the difference in the average monthly temperature between
(a)
(b)
(c)
March and October
July and November
February and March?
5.
Which is the coldest month of the year?
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FURTHER GRAPHS
2.3 Multiple-line graphs
Two or more graphs can be shown on the same diagram. This allows us to
make comparisons between the two.
(a)
(b)
(c)
(d)
(e)
(f)
How many incidents were there in August in each shop?
In which month did shop A have its fewest incidents?
In which month did shop B have its fewest incidents?
Which shop reported the greatest number of incidents in one month?
Which month was this?
In which month did both shops report the same number of incidents?
How many incidents?
Overall, which shop had fewer shoplifting incidents?
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FURTHER GRAPHS
Solutions
(a)
(b)
(c)
(d)
(e)
(f)
Shop A – 14; shop B – 9
April
May
Shop A; December
March; 9 incidents
Number of incidents by month was
Shop A – 12 + 8 + 9 + 3 + 4 + 6 + 6 + 14 + 12 + 10 + 11 + 19 = 114
Shop B – 10 + 10 + 9 + 8 + 2 + 4 + 8 + 9 + 11 + 12 + 9 + 11 = 103
Therefore Shop B reported fewer incidents overall.
A trend in a graph describes broadly how a graph behaves. Trends are
either upwards, downwards or steady.
Look at the graph for shop B in Example 2.3a. Between May and
December it has an upward trend, even though there is a dip at
November.
Example 2.3b
In the graph for shop A in Example 2.3a, describe the trend between
January and April.
Solution
Downwards.
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FURTHER GRAPHS
1.
2.
3.
4.
5.
What was the sales figure for shop B on Monday?
What was the sales figure for shop A on Tuesday?
Explain the sales figure for shop A on Sunday?
What was the sales figure for shop A on Friday?
How much more was the sales figure for shop A on Friday than shop
B?
6. On which day did shop A’s sales figure first exceed shop B’s?
7. Describe the trend of the graph for shop B.
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FURTHER GRAPHS
2.4 Distance–time graphs
This section overlaps a little with basic work in the Intermediate 2 Unit.
A distance–time graph is a special line graph where the distance travelled
is plotted on the vertical axis and the time taken is plotted on th e
horizontal axis. Various points on the graph are labelled A, B, etc. for
reference.
Example 2.4a
The graph below charts the progress of a group of walkers from Broughty
Ferry to Arbroath. Discuss some of the features of the graph.
Solution
Here is a discussion of some of the features of the graph.
The vertical axis label tells you that the distance is measured from
Broughty Ferry.
The point A shows that the walkers are starting at 7 a.m. It also shows
that they are 0 km from Broughty Ferry, i.e. they are at Broughty Ferry.
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FURTHER GRAPHS
The point B shows they have reached a point 5 km from the start by
8 a.m.
The line BC is horizontal. This means that the distance from Broughty
Ferry is not changing, so they aren’t going anywhere; perhaps they are
having a rest. At any rate, they’re standing still.
This rest lasts for 1 interval on the horizontal axis. Since 2 intervals equal
half an hour, one interval represents 15 minutes. Then, at 8.15 a.m., they
set off again.
Their next rest (points D to E) lasts from 9.30 to 10 a.m., and they are 10
km from the start at that time.
Clearly, point F represents Arbroath. Once there, they wait 15 minutes,
then they arrive back at point H, distance 0 (i.e. Broughty Ferry) by 11.37
or so, so presumably they returned by bus (?).
We can compare average speeds roughly by looking at the slope (or
gradient) of the line. GH has the steepest slope so represents the fastest
speed, CD has the least slope so represents the slowest speed.
In fact, if you look carefully at the graph, CD and EF both have the same
slope, but AB is marginally steeper, showing a slightly higher average
speed between those two points.
On a distance–time graph,




the slope of the line shows speed
zero speed is represented by a horizontal line
the steeper the slope, the faster the speed
the journey home is represented by a downward sloping line (when you
read from left to right).
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FURTHER GRAPHS
Questions 2.4
The following graph shows the progress of a cyclist and a motorist from
Ayton to Seaton which is 60 kilometres away. Both travelled along exactly
the same roads.
Key
Cyclist
Motorist
(a)
(b)
(c)
(d)
(e)
(f)
20
At what time does the cyclist leave Ayton?
Does the cyclist actually arrive at Seaton in the time scale shown on
the graph?
At what time is the cyclist 25 km from Ayton?
How far from Seaton is the cyclist at 4 pm?
How often did the motorist meet the cyclist on the road?
When was the motorist’s fastest part of the journey? Going or coming
back?
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CHARTS
SECTION 3
We will consider two types of charts – bar charts and pie charts. ‘Chart’ is
really just an alternative name for ‘graph’. You will often find bar charts,
for example, referred to as bar graphs. There is no difference.
3.1 Bar charts
Here is a chart we met in Outcome 1.
Hours of sunshine per day
Hours
10
5
0
June
July
Aug
Months
Sept
It is important that we can interpret information presented in a chart.
Here are some of the pieces of information that we can take from the chart
above:




The data (information) was recorded during four months
July had the most sunshine (11 hours per day on average)
June and August had the same average number of hours of sunshine
September had the lowest (only 6 hours), presumably because it is into
the autumn.
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CHARTS
When presented with information in a bar chart, always check out the
following:
 Read the title
 Look at the label on the bottom axis (e.g. ‘months’) and check all the
information along that axis (e.g. all 12 months shown, or only some)
 Look at the heights of the bars – read off their values from the side
 Look for similarities (any the same height?) and differences (tallest,
shortest, even one with ‘no’ height – shows up as a gap).
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CHARTS
Example 3.1a
Answer these questions based on the following bar chart:
Traffic survey – Doctor’s surgery car park
10
9
8
Number of vehicles
7
6
5
4
3
2
Volkswagen
Rolls Royce
Peugeot
Land Rover
Nissan
Vauxhall
Ford
Toyota
1
Make of vehicle
(a)
(b)
(c)
(d)
(e)
(f)
Where did the traffic survey take place?
How many different makes of car were there?
Which makes had an equal number of cars in the car park?
How many Toyotas were there?
How many more Volkswagens than Nissans were there?
How many vehicles were counted altogether?
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CHARTS
Solution
(a)
(b)
(c)
(d)
(e)
(f)
Doctor’s surgery car park
8
Vauxhall and Peugeot
4
2
40
Example 3.1b
Sales figure for the year
40
£000s
30
20
Cormack
Forbes
Hepburn
Smith
Henderson
McFarlane
Gray
Scott
10
Sales rep
This bar chart is slightly trickier to read. You will have to estimate the
sales figures from the scale at the side. For example, the figure for Scott
is £17,000.
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CHARTS
(a)
(b)
(c)
(d)
(e)
How many sales reps were there?
Who sold the most? How much?
Which reps sold the same amount? How much?
How much more were Henderson’s sales than McFarlane’s?
What was the difference in sales between the rep who sold the most
and the rep who sold the least?
Solution
(a)
(b)
(c)
(d)
(e)
8
Smith; £34,000
Gray and Cormack; £30,000
£1,000
£34,000 – £15,000 = £19,000
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CHARTS
Questions 3.1
1.
This bar chart shows the diameters (to the nearest mm) of a sample
of tomatoes:
Diameters of a sample of tomatoes
Number of tomatoes
16
14
12
10
8
6
4
2
0
37
38
39
40
41
42
Diameter (mm)
(a)
(b)
(c)
26
How many tomatoes measure 38 mm (to the nearest mm)?
How many tomatoes are in the sample altogether?
How many tomatoes in the sample measure 40 mm or more?
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CHARTS
2.
This bar chart shows ice-cream sales over a twelve-month period.
1300
Ice-cream sales
1200
1100
1000
900
Value of sales (£)
800
700
600
500
400
300
200
100
J
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
F
M
A
M
J
J
A
S
O
N
D
Month
During which month were sales highest?
During which month were sales lowest?
What was the value of sales in October?
What was the value of sales in February?
Between which months was the trend in sales upwards?
What was the decrease in the sales figures from August to September?
What was the total sales figure for the summer months (June, July
and August)?
In which two months were the sales figures the same?
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CHARTS
3.2 Pie charts
Pie charts are so called because they are circular, and so look like a pie.
A pie chart represents all the data in any situation. Since the data can not
be counted up (as in a bar chart) it is essential that the total of the data is
written beside the chart.
SNP
Labour
SNP
Con
Labour
Con
Electorate = 18,000

Basic facts
The ‘slices’ of the pie are known as ‘sectors’. The larger the sector, the
more data is represented in it. The larger the angle at the centre, the
more data is represented in the sector made by the angle. There are 360°
in a complete turn at the centre of the pie chart.
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CHARTS
Interpreting a pie chart
This pie chart shows the share of the votes in an election. We are told that
72,000 votes were cast altogether. However, to find the number of votes
cast for each candidate, we need a method. Our method starts with the
angle in a sector.
Election results
Labour
Conservative
Freedom
Independent
Liberal
Dog
Lovers
Nationalists
Total votes cast = 72,000
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CHARTS
Data in a sector = total number of data x angle ÷ 360
Example 3.2a
In the pie chart above, find the number of votes cast for the Liberal
candidate.
Solution
Votes cast = 72,000 x 50 ÷ 360
= 10,000
Example 3.2b
In the same way, calculate the number of votes cast for the Dog Lover
candidate.
Solution
Votes cast = 72,000 x 30 ÷ 360 = 6,000
Example 3.2c
Which candidate received the greatest number of votes? How many
votes?
Solution
Looking at the pie chart, we can see that the largest sector is Labour. Its
angle is 115°, so 72,000 x 115 ÷ 360 = 23,000 votes.
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CHARTS
Example 3.2d
List the candidates in order, from the one with the largest to the one with
the smallest vote. State the number of votes received by each.
Solution
Labour
Conservative
Liberal
Nationalist
Dog lovers
Independent
Communist
Freedom
115 x 72,000 ÷ 360 = 23,000
80 x 72,000 ÷ 360 = 16,000
50 x 72,000 ÷ 360 = 10,000
40 x 72,000 ÷ 360 = 8,000
30 x 72,000 ÷ 360 = 6,000
25 x 72,000 ÷ 360 = 5,000
10 x 72,000 ÷ 360 = 2,000
10 x 72,000 ÷ 360 = 2,000
Note that there are two ways we can check our calculations:
1.
2.
Add up the votes for each candidate – they should total 72,000.
Add up all the angles – they should total 360°.
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CHARTS
Questions 3.2
Results of two housing surveys
Semi-detached houses
1800 houses in
survey area A
Terraced houses
Detached houses
Flats
1800 houses in
survey area B
Terraced houses
Detached
houses
32
Semi-detached houses
Flats
NUMERACY: OUTCOME 2 (INTERMEDIATE 1) TEXT VERSION
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CHARTS
These two pie charts show the results of housing surveys carried out in
two areas of the city of Bristol.
1.
In survey area A, calculate the number of houses in each group.
Arrange the houses according to these numbers, the lowest first.
2.
In survey area B, calculate the number of houses in each group.
Arrange the houses according to these numbers, the largest first.
3.
How many more
 flats are there in area A than in area B?
 detached houses are there in area A than in area B?
 bungalows are there in area A than in area B?
4.
How many semi-detached houses are there in the two areas
combined?
NUMERACY: OUTCOME 2 (INTERMEDIATE 1) TEXT VERSION
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DIAGRAMS
SECTION 4
4.1
Flow diagrams
Flow diagrams provide a logical sequence for calculations. They break
down calculations into a sequence of individual steps. More complex f low
diagrams allow for options along the way.
Example 4.1a
Changing °Fahrenheit to °Celsius.
START
Write down °Fahrenheit
Subtract 32
Divide by 9
Multiply by 5
Write down answer in °Celsius
STOP
(a)
(b)
Change 50°F to °C
Change 112°F to °C
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NUMERACY: OUTCOME 2 (INTERMEDIATE 1) TEXT VERSION
© Learning and Teaching Scotland 2004
DIAGRAMS
Solution
(a)
50 – 32 = 18
18 ÷ 9 = 2
2 x 5 = 10
50°F = 10°C
(b)
112 – 32 = 80
80 ÷ 9 = 8.888…
8.888… x 5 = 44.444…
112°F = 44.4°C
Example 4.1b
Calculating a bus fare.
START
No
Is
passenger
a child?
Multiply number of stops
for journey by 10p
Yes
Flat fare 50p
STOP
Calculate the cost for
(a)
(b)
an adult travelling for 12 stops
an child travelling for 8 stops.
NUMERACY: OUTCOME 2 (INTERMEDIATE 1) TEXT VERSION
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© Learning and Teaching Scotland 2004
DIAGRAMS
Solution
(a)
(b)
12 x 10p = £1.20 (following left-hand side of diagram)
50p (following right-hand side of diagram)
Example 4.1c
Calculating the cost of calling out a plumber.
START
Basic call-out fee
= £40
Yes
Does callout last
more than
2 hours?
No
Subtract 2 from
number of hours
Add on cost of
material
Multiply by £15
Add on cost of
material
Total the bill
STOP
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NUMERACY: OUTCOME 2 (INTERMEDIATE 1) TEXT VERSION
© Learning and Teaching Scotland 2004
DIAGRAMS
Calculate the cost of each of the following call-outs.
(a)
(b)
(c)
1½ hours, £25 worth of materials
6 hours, £110 worth of materials
½ hour, no materials.
Solution
(a)
(b)
(c)
£40 + £25 = £65
£40 + (4 x £15) + £110
= £40 + £60 + £110
= £210
£40
Questions 4.1
1.
Use the flow diagram below to calculate the roasting times for these
turkeys:
(a)
(b)
13 lb
18 lb
START
Multiply weight by 30 minutes
Add 30 minutes
÷ 60
Write down answer in hours
STOP
NUMERACY: OUTCOME 2 (INTERMEDIATE 1) TEXT VERSION
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© Learning and Teaching Scotland 2004
DIAGRAMS
2.
Use the flow diagram below to calculate the cost of buying floor tiles
from the DIY store:
(a)
(b)
12 tiles
30 tiles
START
Yes
Are more
than 20
tiles
bought?
Multiply number
of tiles by £1.15
Multiply number of
tiles by £1.35
STOP
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NUMERACY: OUTCOME 2 (INTERMEDIATE 1) TEXT VERSION
© Learning and Teaching Scotland 2004
No
DIAGRAMS
3.
Use the following flow diagram to calculate mileage expenses (£) for:
(a)
(b)
62 miles
170 miles
START
Yes
Are
miles
less than
100?
No
Subtract 100
Multiply by 0.48
Multiply by 0.28
Add £48
STOP
NUMERACY: OUTCOME 2 (INTERMEDIATE 1) TEXT VERSION
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© Learning and Teaching Scotland 2004
DIAGRAMS
4.2 Network diagrams
Network diagrams can also be called schematic maps. They show
information in a far more basic form than maps, and they are not drawn to
scale.
Example 4.2a
Distances are in miles
Kirriemuir
6
10
12
Meigle
Forfar
7
Coupar Angus
12
16
13
16
14
Arbroath
Perth
22
Dundee
18
Use the network diagram above to calculate the length of the following
journeys:
(a)
(b)
(c)
(d)
(e)
(f)
Forfar to Meigle directly
Dundee to Arbroath to Forfar
Forfar to Perth via Dundee
Forfar to Perth via Meigle and Coupar Angus
Kirriemuir to Dundee via Meigle
Kirriemuir to Dundee via Forfar
Solution
(a)
(b)
(c)
(d)
(e)
(f)
12
34
35
31
26
19
miles
miles
miles
miles
miles
miles
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NUMERACY: OUTCOME 2 (INTERMEDIATE 1) TEXT VERSION
© Learning and Teaching Scotland 2004
DIAGRAMS
Example 4.2b
Perth
Distances are in miles
13
Cupar
10
11
Milnathort
13
12
Glenrothes
13
16
St Andrews
9
5
Anstruther
Leven
6
13
8
14
Dunfermline
Alloa
14
Kirkcaldy
Use the network diagram above to answer the following questions:
(a)
(b)
(c)
What is the shortest route between St Andrews and Glenrothes?
How far is it from Alloa to Glenrothes via Kirkcaldy?
Which two towns are 12 miles apart?
Solution
(a)
(b)
(c)
18 miles (via Leven)
34 miles
Milnathort and Glenrothes.
NUMERACY: OUTCOME 2 (INTERMEDIATE 1) TEXT VERSION
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© Learning and Teaching Scotland 2004
DIAGRAMS
Questions 4.2
Dunbar
Edinburgh
23
8
Dalkeith
9
Penicuik
33
6
42
14
27
30
Berwick
14
9
19
27
18
Peebles
Galashiels
Coldstream
Kelso
Lanark
Use the network diagram to work out the following (distances in miles):
(a)
(b)
(c)
(d)
John lives in Lanark and works in Dalkeith. Describe his shortest
route. How many miles is it?
How far is it from Edinburgh to Berwick via Dunbar?
How far is it from Edinburgh to Berwick via Dalkeith and Coldstream?
Which two towns are 19 miles apart?
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NUMERACY: OUTCOME 2 (INTERMEDIATE 1) TEXT VERSION
© Learning and Teaching Scotland 2004
SAQ ANSWERS
SAQ ANSWERS
Section 1
Answers 1
1.
(a)
£429
(b)
£469
(c)
£439
2.
(a)
(b)
£499 x 4 = £1996
605 + 605 + 149 + 299 + 299 + 299 = £2256
(d)
£569
Section 2
Answers 2.1
1.
(a)
(b)
(c)
(d)
5
10
40
60
2.
(a)
£1.00
(d)
(i)
(ii)
60p
10p
(e)
(i)
(ii)
160g
560g
(b)
25g
(c)
2p
NUMERACY: OUTCOME 2 (INTERMEDIATE 1) TEXT VERSION
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© Learning and Teaching Scotland 2004
SAQ ANSWERS
Answers 2.2
1.
2.
3.
4.
5.
July
January and February
May and October; March and December
(a) 14 degrees
(b) 16 degrees
(c) 6 degrees
January
Answers 2.3
1.
2.
3.
4.
5.
6.
7.
£3000
£2000
0. Shop A was closed on Sunday.
£6500
£6500 – £5000 = £1500
Thursday
Upwards.
Answers 2.4
(a)
(b)
(c)
(d)
(e)
(f)
1.15 pm
No
3 pm
25 km (cyclist has travelled 35 km and has 25 km to go)
Twice
Going (steeper line)
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NUMERACY: OUTCOME 2 (INTERMEDIATE 1) TEXT VERSION
© Learning and Teaching Scotland 2004
SAQ ANSWERS
Section 3
Answers 3.1
1.
(a)
(b)
(c)
7
50
28
2.
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
August
March
£900
£350
March to August
£100
£3300
January and December
Answers 3.2
1.
Bungalows
Detached houses
Terraced houses
Flats
Semi-detached houses
125
250
275
450
700
2.
Semi-detached houses
Terraced houses
Flats
Detached houses
Bungalows
650
575
300
225
50
3.
(a)
(b)
(c)
4.
1350
150
25
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NUMERACY: OUTCOME 2 (INTERMEDIATE 1) TEXT VERSION
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© Learning and Teaching Scotland 2004
SAQ ANSWERS
Section 4
Answers 4.1
1.
(a)
(b)
7 hrs
9½ hours
2.
(a)
(b)
£16.20
£34.50
3.
(a)
(b)
£29.76
£67.60
Answers 4.2
(a)
(b)
(c)
(d)
Lanark  Peebles  Penicuik  Dalkeith
56 miles
64 miles
Peebles and Galashiels.
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NUMERACY: OUTCOME 2 (INTERMEDIATE 1) TEXT VERSION
© Learning and Teaching Scotland 2004