G2 2D Shape Worksheet 13 - Pearson Education 2D Shape Worksheet 13.6 You need compasses and coloured...

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© 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) cm cm 3 cm (a) cm cm cm cm (d) cm cm cm cm (c)

Transcript of G2 2D Shape Worksheet 13 - Pearson Education 2D Shape Worksheet 13.6 You need compasses and coloured...

© 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.