© Heinemann Education 2005, Scottish Secondary Mathematics, S2 Teacher’s Resource File 141
G2 2D Shape Worksheet 13.1
Go to textbook page 00, question 5.
2 Measure each line:
(a) (b) (c)
length mm length mm length mm
(d) (e) (f)
length mm length cm length cm
(g) (h)
length mm length
(i) (j)
length length
3 Measure the length and breadth of this page in centimetres.
Length Breadth
4 Measure the length of each side of the shapes:
cm
cm
cm
5 cm(b)
cmcm
3 cm(a)
cm
cmcm
cm
(d)
cm
cm
cm
cm
(c)
142 © Heinemann Education 2005, Scottish Secondary Mathematics, S2 Teacher’s Resource File
G2 2D Shape Worksheet 13.2
2 Measure the lengths of each side of the triangle.Name the type of triangle.
Go to textbook page 00, question 3.
cm
cmcm
(b)
cmcm
3 cm(a)
cm
cm
cm
(d)
cm
cm
cm
(c)
cm
cmcm
(f )
cm
cm
cm
(e)
cm
cmcm
(h)
cm
cm
cm
(g)
Type Type
Type Type
Type Type
Type Type
Right-angled isosceles
© Heinemann Education 2005, Scottish Secondary Mathematics, S2 Teacher’s Resource File 143
G2 2D Shape Worksheet 13.3
You need a red, a green and a blue pencil.
1 On each diagram:• colour the angles using the colours in the table• draw the named diagonal.
2 On each diagram:• Colour angle ABC red, and angle EDC blue.• Colour the side AE green• Draw the named diagonal.
P
Q
R
S
red
blue
(a) diagonal PR
P Q
RS
(b) diagonal QS
QR
S
P
(c) diagonal RP
RS
PQ
(d) diagonal SQ
SP
Q
R
(e) diagonal PRQ R
SP
(f) diagonal QS
A
E
D
C
B
(a) diagonal DB
A
DE
C
B
(b) diagonal AD
E
BA
C
D
(c) diagonal DB
AF
BE
CD
(d) diagonal AD
Go to textbook page 00, question 3.
�PQR red�SRQ blue
144 © Heinemann Education 2005, Scottish Secondary Mathematics, S2 Teacher’s Resource File
G2 2D Shape Worksheet 13.4
You need yellow, red, blue and green pencils.
4 In order, colour (i) the hexagons yellow(ii) the pentagons blue(iii) the rectangles red(iv) the triangles green.
© Heinemann Education 2005, Scottish Secondary Mathematics, S2 Teacher’s Resource File 145
G2 2D Shape Worksheet 13.5
1 Label each line in the circle with circumference, radius or diameter.
2 (a) For each circle, measure the radius and diameter in millimetres, and enter theresults in the table.
(b) Look at your table of results.Complete the sentence:
The diameter is the length of the radius.
(a) (b) (c)
A
B
DC
E
F
Go to textbook page 00, question 3.
Circle Radius Diameter
A 2.1 cm 4.2 cm
B
C
D
E
F
146 © Heinemann Education 2005, Scottish Secondary Mathematics, S2 Teacher’s Resource File
G2 2D Shape Worksheet 13.6
You need compasses and coloured pencils.
4 Set your compasses to 7 cm.Place the point at the start position and draw an arc through the circle.Move the point to where your arc meets the circle.Draw another arc through the circle.Continue until you are back to the start.Colour your pattern.
Start
START
© Heinemann Education 2005, Scottish Secondary Mathematics, S2 Teacher’s Resource File 147
G2 Information handling 2 Worksheet 14.1
1 Complete the frequency table for each set of data. Score out as you tally.(a) Colour of cars passing the school gate.
red blue silver black red blue brown green black silverwhite red blue green silver white green red blue greenred blue green silver white green red red blue greensilver white green red white green red blue green red
The mode or most frequent colour is
(b) Birds spotted in a forest.sparrow blackbird chaffinch wren crow sparrowblackbird magpie wren crow sparrow blackbirdchaffinch wren crow sparrow blackbird blackbirdmagpie crow sparrow blackbird chaffinch wrencrow sparrow blackbird sparrow magpie crowsparrow blackbird magpie blackbird crow sparrowblackbird chaffinch wren crow blackbird sparrow
The mode or most frequent bird is
Colour Tally Frequency
red
blue
brown
green
black
silver
white
Bird Tally Frequency
blackbird
crow
chaffinch
sparrow
magpie
wren
Go to worksheet 14.2
148 © Heinemann Education 2005, Scottish Secondary Mathematics, S2 Teacher’s Resource File
G2 Information handling 2 Worksheet 14.2
2 (a)
(b)
(c)
(d)
Go to textbook page 00, question 3.
Hair colour Tally Frequency
Black
Blonde
Brown
Red
Eye colour Tally Frequency
Hazel
Brown
Green
Blue
Goals scored Tally Frequency
0
1
2
3
4
5
6
Shoe size Tally Frequency
3
4
5
6
7
Mode �
Mode �
Mode �
Mode �
© Heinemann Education 2005, Scottish Secondary Mathematics, S2 Teacher’s Resource File 149
G2 Information handling 2 Worksheet 14.3
1 Use the information in each frequency table to complete the bar graph.
(a)
(b)
(c)
(d)
Hair colour Frequency
Black 4
Blonde 6
Brown 12
Red 4
Goals scored Frequency
0 6
1 5
2 5
3 4
4 2
5 1
Shoe size Frequency
3 6
4 12
5 15
6 16
7 9
Hair colour
Black
Fre
quen
cy
Colour
1
Blonde Brown Red
23456789
10111213
Goals scored
0
Fre
quen
cy
Goals
1
1 2 3 4 5
23456
Eye colour Frequency
Hazel 1
Brown 12
Green 4
Blue 10
Eye colour
Hazel
Fre
quen
cy
Colour
2
Brown Green Blue
468
1012
Shoe size
3
Fre
quen
cy
Size4 5 6 7
10
20
Go to textbook page 00, question 2.
150 © Heinemann Education 2005, Scottish Secondary Mathematics, S2 Teacher’s Resource File
G2 Information handling 2 Worksheet 14.4
4 Use the frequency tables to collect information from your class.
(a)
(b)
(c)
(d)
5 Use the frequency tables above to draw a bar graph for each set of data in yourjotter.
Hair colour Tally Frequency
Black
Blonde
Brown
Red
Eye colour Tally Frequency
Grey
Brown
Green
Blue
Favourite drink Tally Frequency
Orange
Cola
Lemonade
Iron brew
Water
Other
Shoe size Tally Frequency
3
4
5
6
7
8
9
10
© Heinemann Education 2005, Scottish Secondary Mathematics, S2 Teacher’s Resource File 151
G2 Information handling 2 Worksheet 14.5
1 Use the bar graphs to complete each frequency table.
(a)
(b)
(c)
(d)
Favourite pet
Dog
Fre
quen
cy
Pet
1
Cat Fish Hamster Guineapig
23456789
10
Favourite food
Curry
Fre
quen
cy
FoodPie Rice Chips Chicken
2
4
6
8
Favourite TV channel
BBC 1
Fre
quen
cy
ChannelBBC 2 ITV Ch 4 Ch 5
5
10
15
20
Favourite sport
Football
Fre
quen
cy
SportRugby Tennis Hockey Athletics
10
20
30
40
Favourite pet Frequency
Dog
Cat
Fish
Hamster
Guinea pig
Favourite food Frequency
Curry
Pie
Rice
Chips
Chicken
Sport Frequency
Football
Rugby
Tennis
Hockey
Athletics
Favourite channel Frequency
BBC 1
BBC 2
ITV
CHANNEL 4
CHANNEL 5
Go to textbook page 00, question 2.
152 © Heinemann Education 2005, Scottish Secondary Mathematics, S2 Teacher’s Resource File
G2 3D Shape Worksheet 15.1
To build the skeleton models shown below you need straws, pipe cleaners, scissorsand a ruler.
For each 3D shape • list the number of edges of each length• write how many vertices there are• build a skeleton model if you have the materials.
1
7 cm5 cm
4 cm2
5 cm
4 cm
9 cm
Number of edges Length
4 7 cm
5 cm
Number of edges Length
3
5 cm
5 cm
8 cm
4
6 cm6 cm
6 cm
Number of edges Length Number of edges Length
58 cm
4 cm4 cm
65 cm
9 cm5 cm
5 cm
Number of edges Length Number of edges Length
Number of vertices Number of vertices
Number of vertices Number of vertices
Number of vertices Number of vertices
© Heinemann Education 2005, Scottish Secondary Mathematics, S2 Teacher’s Resource File 153
G2 3D Shape Worksheet 15.2
To build the models you need scissors, a ruler and sticky tape.
Cut out each net and fold it into a solid shape.
1
2
Go to worksheet 15.3
154 © Heinemann Education 2005, Scottish Secondary Mathematics, S2 Teacher’s Resource File
G2 3D Shape Worksheet 15.3
Complete each net. Cut out each net and fold it into a solid shape.
3
4
© Heinemann Education 2005, Scottish Secondary Mathematics, S2 Teacher’s Resource File 155
G2 3D Shape Worksheet 15.4
1 (a) Draw the diagonal ED on thefront face.
(b) Draw both diagonals on theright hand face.
(c) Draw diagonals AC and BD onthe top.
2 (a) Draw space diagonal PV.(b) Draw space diagonal TR.
3 (a) Draw space diagonal KQ.(b) Draw space diagonal MO.
4 Draw in all four space diagonals for each shape.(a) (b)
A
EH
F
B C
D
G
Right handface
T
P
Q R
V
S
W
U
O
K
R Q
P
M
L
N
Go to textbook page 00, question 5.
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