2a 5 6 3 b 3 4 5 c 5 8 10 d 2 9 0 12 e 1 8 5 12 3 Share 1 2 into 3 equal parts. 4 Asif has a chocolate bar. He eats 2 3 of the chocolate bar and then shares the rest equally between two friends. What fraction of the chocolate bar does each friend get? Exercise 13H Work out and simplify 1a 1 3 4 5 b 1 4 3 5 c 1 2 5 6 d 1 5 2 5 e 1 6 5 7 f 1 3 1 1 0 g 1 4 7 8 h 4 5 1 4 i 5 6 1 1 0 2a 1 3 of 3 4 b 1 2 of 4 5 c 1 4 of 6 7 d 1 5 of 1 1 0 1 e 1 6 of 1 9 0 3 In a bag of sweets, two thirds are fruit drops. One quarter of the fruit drops are blackcurrant flavoured. What fraction of sweets in the bag are blackcurrant flavoured fruit drops? 4 In Bill’s CD collection, 3 4 of the CDs are jazz. 1 3 of the jazz CDs are piano. What fraction of Bill’s CD collection are jazz piano? Exercise 13I Work out the following. Give each answer in its simplest form. 1a 2 3 4 7 b 2 5 3 5 c 3 4 5 8 d 4 5 2 7 e 2 3 3 7 f 3 4 3 5 g 3 5 1 1 0 1 h 3 4 8 9 i 5 6 2 9 0 j 5 8 2 2 4 5 2a 4 5 of 1 5 2 b 3 8 of 1 2 6 1 c 4 9 of 2 2 7 8 d 7 8 of 1 3 6 5 e 5 8 of 2 3 4 5 3 4 5 of a shape is shaded. 2 3 of the shaded part is shaded red. What fraction of the whole shape is shaded red? 4 John spends 3 4 of his spare time playing musical instruments. Of the time spent playing musical instruments, 2 3 is spent on the piano.What fraction of John’s spare time is spent playing the piano? 5 Work out a 1 1 4 1 5 b 2 2 3 5 8 c 1 1 3 1 1 5 d 2 1 4 1 1 3 e 3 3 4 2 4 5 Exercise 13J Give each answer in its simplest form 1a 1 3 4 7 9 b 8 9 2 3 7 2 c 1 1 5 6 1 2 2 5 d 1 1 3 5 1 3 0 9 e 1 1 1 3 2 5 6 5 f 3 4 7 9 2 4 1 2a 1 2 1 4 b 1 6 1 2 c 3 5 1 9 0 d 7 8 3 4 e 5 9 5 6 f 1 9 0 2 3 0 3a 2 1 2 1 4 b 1 1 3 3 4 c 2 2 3 1 1 9 d 3 3 4 1 3 4 e 1 1 4 1 3 4 f 8 9 1 2 3 g 2 1 3 1 3 4 h 4 4 5 2 1 1 0 4 A rectangle carpet is 3 3 4 metres wide and 4 2 5 metres long. Work out the area of the carpet. Chapter 14 Processing, representing and interpreting data Exercise 14A 1 Here is a pictogram showing the number of people who played at the local tennis club on five days last week. Monday Tuesday Wednesday Thursday Friday Represents 4 people 46 CHAPTER 14 ✗ ✗ ✗
Transcript
2 a �56� � 3 b �
34� � 5 c �
58� � 10
d �290� � 12 e �1
85� � 12
3 Share �12� into 3 equal parts.
4 Asif has a chocolate bar.He eats �
23� of the chocolate bar and then
shares the rest equally between two friends.What fraction of the chocolate bar doeseach friend get?
Exercise 13H
Work out and simplify
1 a �13� � �
45� b �
14� � �
35� c �
12� � �
56�
d �15� � �
25� e �
16� � �
57� f �
13� � �1
10�
g �14� � �
78� h �
45� � �
14� i �
56� � �1
10�
2 a �13� of �
34� b �
12� of �
45� c �
14� of �
67�
d �15� of �
11
01� e �
16� of �1
90�
3 In a bag of sweets, two thirds are fruit drops.One quarter of the fruit drops areblackcurrant flavoured.What fraction of sweets in the bag areblackcurrant flavoured fruit drops?
4 In Bill’s CD collection, �34� of the CDs are jazz.
�13� of the jazz CDs are piano.What fraction of Bill’s CD collection are jazzpiano?
Exercise 13I
Work out the following. Give each answer in itssimplest form.
1 a �23� � �
47� b �
25� � �
35� c �
34� � �
58�
d �45� � �
27� e �
23� � �
37� f �
34� � �
35�
g �35� � �
11
01� h �
34� � �
89� i �
56� � �2
90�
j �58� � �
22
45�
2 a �45� of �1
52� b �
38� of �
12
61� c �
49� of �
22
78�
d �78� of �
13
65� e �
58� of �
23
45�
3 �45� of a shape is shaded. �
23� of the shaded part is
shaded red. What fraction of the wholeshape is shaded red?
4 John spends �34� of his spare time playing
musical instruments. Of the time spentplaying musical instruments, �
23� is spent on
the piano. What fraction of John’s spare timeis spent playing the piano?
5 Work out
a 1�14� � �
15� b 2�
23� � �
58� c 1�
13� � 1�
15�
d 2�14� � 1�
13� e 3�
34� � 2�
45�
Exercise 13J
Give each answer in its simplest form
1 a �134� � �
79� b �
89� � �
23
72� c �
11
56� � �
12
25�
d �11
35� � �
13
09� e �
11
13� � �
25
65� f �
34� � �
79� � �2
41�
2 a �12� � �
14� b �
16� � �
12� c �
35� � �1
90�
d �78� � �
34� e �
59� � �
56� f �1
90� � �2
30�
3 a 2�12� � �
14� b 1�
13� � �
34� c 2�
23� � 1�
19�
d 3�34� � 1�
34� e 1�
14� � 1�
34� f �
89� � 1�
23�
g 2�13� � 1�
34� h 4�
45� � 2�1
10�
4 A rectangle carpet is 3�34� metres wide and
4�25� metres long. Work out the area of the
carpet.
Chapter 14 Processing, representing andinterpreting data
Exercise 14A
1 Here is a pictogram showing the number ofpeople who played at the local tennis clubon five days last week.
Monday
Tuesday
Wednesday
Thursday
Friday
Represents 4people
46
CHAPTER 14
�
�
�
B_Chaps 1-15_001-053.qxd 1/12/06 11:50 am Page 46
a On which day did the greatest numberof people play tennis?
b On which day did the least number ofpeople play tennis?
c Write down the number of people whoplayed tennis on i Monday
ii Tuesday.
d Work out the total number of people thatplayed tennis from Monday to Friday.
2 Here is a pictogram. It shows the number ofboxes of chocolates sold last week fromMonday to Friday.
a Write down the number of boxes ofchocolates sold on i Wednesday
ii Thursday.
b On which day of the week were 45 boxes of chocolates sold?
c On which two days of the week did theshop sell the same number of boxes ofchocolates?
3 The table shows the number of hours ofsunshine on each of five days.
Draw a pictogram to represent thisinformation.
Use to
represent 2 hours of sunshine.
Exercise 14B
1 Lesley wrote down the colour of each car inthe school car park.The bar chart shows this information.
a Write down the number of blue cars.b What colour were most cars?c Work out the total number of cars.
(1388 January 2005)
2 The bar chart shows the number of textmessages that Sumire sent each day one week.
a On which day did Sumire send thegreatest number of text messages?
b Write down the number of textmessages that she sent on i Tuesday ii Thursday.
c On which day did she send 7 textmessages?
d Work out the total number of textmessages she sent during the week.
Monday
Tuesday
Wednesday
Day
of t
he w
eek
Thursday
Friday
Saturday
Sunday
0 2 4 6 8
Number of text messages
10 12 14 16
Num
ber
of c
ars
0
2
4
6
8
10
12
14
16
White Red Blue
Colour
Silver Green
Monday
Tuesday
Wednesday
Thursday
Friday
Represents 20 boxes ofchocolate sold
47
CHAPTER 14
Day Hours of sunshine
Monday 6
Tuesday 11
Wednesday 10
Thursday 12
Friday 7
B_Chaps 1-15_001-053.qxd 1/12/06 11:50 am Page 47
3 Fred asked some of his friends which sport they preferred.The table shows the results.
Draw a bar chart to represent thisinformation.
4 Six students each sat a maths and a sciencetest. The dual bar chart shows their results.
a How many marks did Karen get in herscience test?
b How many marks did Malik get in hismaths test?
c Which student scored the same numberof marks in both tests?
d Two students got a higher mark in thescience test than in the maths test.Write down the names of these twostudents.
5 The table shows the number of pointsgained by two girls during 5 games of cards.
a Draw a dual bar chart to show thisinformation.
b Which girl scored the greatest numberof points?
Exercise 14C
1 The table shows information about thecolour of 36 horses at a stable.
a Work out the sector angle for each colour.
b Draw an accurate pie chart to show thisinformation.
2 Sarah asked 40 friends to name their favouritepasta dish.The table shows her results.
a Work out the sector angle for each pastadish.
b Draw an accurate pie chart to show thisinformation.
3 Emily asked each of 60 people at an airportwhich country they were travelling to.The table shows this information.
Draw an accurate pie chart to show thisinformation.
4 The table shows information about the way720 pupils travel to school.
Draw an accurate pie chart to show thisinformation.
Mar
k
0
2
4
6
8
10
12
14
16
18
20
MathsScience
Jalin Karen Lucy Malik Ned Pat
48
CHAPTER 14
SportNumber
of friends
Football 20
Running 5
Hockey 12
Rugby 14
Game 1 Game 2 Game 3 Game 4 Game 5
Laura 5 10 12 7 6
Hannah 8 7 11 9 6
Colour of horse Bay Chestnut Grey Black
Frequency 14 10 7 5
Pasta Macaroni Lasagne Spaghettidish Cheese Bolognese
Frequency 7 18 15
Method Train Bus Cycle Walk Car
of transport
Frequency 90 200 148 186 96
Country America Australia Japan CanadaHongKong
Frequency 24 9 10 12 5
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Exercise 14D
1 There are 40 fruit trees in an orchard. The piechart shows information about the numberof different types of fruit trees in the orchard.
a Which was the most popular type offruit tree?
b What fraction of the fruit trees werepear trees?
c How many trees were pear trees?d How many degrees represent one tree
on the pie chart?
e How many apple trees were in theorchard?
2 The pie chart gives information about theresults of a rugby team’s games during oneseason. The team lost 8 games.
a How many degrees represent one gamein the pie chart?
b How many games did the rugby teamplay during the season?
3 The pie chart shows information about thefavourite hot drink of some people.
a What fraction of people preferred hotchocolate? Give your fraction in itssimplest form.
5 people said that milk was their favouritehot drink.
b How many degrees represent one personin the pie chart?
c How many people said that i coffee ii tea was their favourite drink?
4 Charlie draws a pie chart to show the numberof different makes of car in a car park. Heworks out these angles for his pie chart.
There are 120 cars in the car park.Work out how many of each make of car isin the car park.
Exercise 14E
1 The line graph shows the number of visitorsto a stately home, correct to the nearesthundred, each month for six months.
a How many visitors were there in May?
b In which month were there 1900 visitors?
c Describe what happened to the numberof visitors between April and August.
Num
ber
of v
isito
rs
0
500
1000
1500
2000
2500
3000
Apr May June July
Month
Aug Sept Oct
Coffee152°128°
60°
HotChocolate
Tea
Milk
Won
Drawn
72°96°192°
Lost
Apple198°90°72°
Plum
Pear
49
CHAPTER 14
Type of car Angle in pie chart
Vauxhall 81°
Ford 93°
Toyota 132°
Rover 48°
Audi 6°
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2 The table shows the maximum monthlytemperatures, in °C, in New York.
Draw a line graph to show this information.
3 The graph shows the number of DVDs soldeach month for 6 months by two differentshops.
a How many DVDs were sold by Danny’sDVDs in March?
b In which month did Frank’s films sell 370 DVDs?
c In which month did Frank’s films sellmore DVDs than Danny’s DVDs?
d Describe the sales from January to Juneat Frank’s films.
e Describe the sales from January to Juneat Danny’s DVDs.
Exercise 14F
1 Mr Potts records the number of customersthat come into his shop over a period of 30 days.
