g2 fractions worksheet 5... · © heinemann education 2005, scottish secondary mathematics, s2...

102 © Heinemann Education 2005, Scottish Secondary Mathematics, S2 Teacher’s Resource File

G2 Fractions Worksheet 5.1

Go to textbook page 00, question 5.

2 Look at the 10 squares.

(a) The fraction of shaded squares is �110�

(b) The fraction of unshaded is

3 For each group write the shaded and unshaded fraction.

(a) (b)

Fraction Fraction Fraction Fractionshaded unshaded shaded unshaded

(c) (d)

Fraction Fraction Fraction Fractionshaded unshaded shaded unshaded

4 Look at the animals shown.

(a) Write the total number of animals.

(b) Write the fraction of animals thatare hens.

(c) Write the fraction of animals thatare cows.

(d) Write the fraction of animals thatare horses.

(e) Write the fraction of animals thatare NOT horses.

© Heinemann Education 2005, Scottish Secondary Mathematics, S2 Teacher’s Resource File 103


7 For each diagram shade or colour the fraction indicated:

(a) (b) (c)

(d) (e) (f)

(g) (h) (i)

(j) (k) (l)

(m) (n) (o)

14

Shade 14

Shade 34

Shade

38

Shade 38

Shade

56

Shade 16

Shade 36

Shade

78

Shade 48

Shade 12

Shade

18

Shade 48

Shade 12

Shade

58

Shade



2 For each pair of shapes shade or colour the second shape to match the fractionshown.

3 Write the fraction that you have shaded next to each shape.

(a) (b)

(c) (d)

(e) (f)

(g) (h)

(i) (j)



1 Complete

(a) �4

�

�4

412

(b) �

�

�5

510

12

(c) �

�

�

812

23

(d) �2

�

�2

214

(e) �3

�

�3

625

(f) �5

�

�5

12

(g) �4

�

�4

413

(h)�6

�

�

12

(i) �

�

�4

34

(j) �

�

�4

420

5

(k) �2

�

�

2

2

(l) �3

�

�

315

1

(m) �5

�

�

1025

5

(n) �

�

�4

12

4

(o) �

�

�6

24

3




3 Cut out each domino. In groups of two or three, play a game of Fracimal-dominoes.

Go to worksheet 5.6

12

14

14

15

18

110

15

120

14

18

12

110

110

120

120

12

14

18

15

110

12

15

0·5 0·25

0·25 0·2

0·125 0·1

0·2 0·05

0·25 0·125

0·5 0·1

0·1 0·05

0·05 0·5

0·25 0·125

0·2 0·1

0·5 0·2

0·125 0·0518

120



4 Cut out each jigsaw piece.

Try to match each jigsaw fraction with its jigsaw decimal.

12

0·5

14

0·25

15

0·218

0·125

110

0·1

1100

0·01

120

0·05


G2 Symmetry and tessellations Worksheet 6.1

1 Draw the line of symmetry on each diagram.

2 Complete these pictures so that the dotted line is a line of symmetry.

Go to worksheet 6.2

(a) (b) (c) (d)

(e) (f) (g) (h)

(a)

(d)

(b) (c)



3 Complete each diagram so that the dotted line is a line of symmetry.

(a) (b)

(c) (d)

(e) (f)

(g) (h)

Go to worksheet 6.3



4 Complete each diagram so that the dotted line is a line of symmetry.


(a) (b)

(c) (d)

(e) (f)



1 • Cut out each shape.

• Fold it to find all the lines of symmetry.

• Draw the lines of symmetry.

Go to worksheet 6.5



2 Draw all the lines of symmetry on each shape.


(a) (b) (c)

(d) (e) (f)

(g) (h) (i)

(j) (k) (l)



4 Colour in these flags and draw on all of the lines of symmetry.

Albania France

Laos Japan

Switzerland Nigeria

Vietnam Finland




7 Complete these diagrams so that they have half turn symmetry.

Tracing paper may help.

Example

(a) (b)

(c) (d)

(e) (f)



2 Continue these tessellations using at least 20 tiles.

(a)

(b)

Go to worksheet 6.9



Continue these tessellations using at least 20 tiles.

Go to worksheet 6.10

(c)

(d)



Continue these tessellations using at least 20 tiles.

(e)

(f)




5 Continue these paving designs.


(a) (b)

(c) (d)



7


G2 Percentages Worksheet 7.1

3 Shade or colour the fraction or percentage shown for each.

62%

54%

30100

(a)

(d)

(g)

19%

81%

(b)

(e)

(h)

59100

90%

9%

(c)

(f)

(i)

94100



G2 Measurement Worksheet 8.1

1 (a) Mark the following measurements on the scale: 3 cm, 6 cm, 8 cm, 12 cm, 15 cm.

(b) Mark the following measurements on the scale: 35 mm, 52 mm, 73 mm, 90 mm,125 mm, 142 mm.

(c) Mark the following measurements on the scale: 2 kg, 5 kg, 7 kg.

(d) Mark the following measurements on the scale: 1·5 kg, 3·5 kg, 8·5 kg.

(e) Mark the following measurements on the scale: 2 �, 1.5 �, 0.5 �, 0.75 �.

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150

0 10KG

1 9

2 8

3 7

4 65

0 10KG

1 9

2 8

3 7

4 65

2.5

2

2�

1.5

1

0.5

2.5

2

1.5

1.5�

1

0.5

2.5

2

1.5

1

0.5

0.5�

2.5

2

1.5

1

0.5

0.75�




1 Look at the pictures of these pencils.Write down the pencils in order of length. Start with the smallest.Cut out the pencils and check if you were correct.

2 Look at the pictures of these bolts.Write down the bolts in order of length. Start with the smallest.Cut out the bolts and check if you were correct.

Go to worksheet 8.3

(a) (b) (c)

(d) (e) (f)

(a) (b) (c)

(d) (e) (f)



3 Estimate and then measure to complete worksheet


Object Estimate Measurement

width of your thumb

handspan

length of your foot

width of the textbook

length of the textbook

width of your desk

height of your desk

width of classroom door

length of the classroom

height of the classroom


G2 Time Worksheet 9.1

1 Draw the given time on each clock face.(a) four o’clock (b) eight thirty (c) quarter past eleven

(d) ten to nine (e) five twenty (f) five past five

2 Draw the time shown on each clock face.

(a) (b) (c)

(d) (e) (f )

3 Write each time on the digital clock.(a) seven thirty (b) nine forty five (c) ten to eleven

(d) quarter to two (e) four twenty five (f ) one fifty

(g) six thirty five (h) half past twelve (i) twenty to three


12

6

9 3

2

1

4

5

10

11

8

7

12

6

9 3

2

1

4

5

10

11

8

7

12

6

9 3

2

1

4

5

10

11

8

7

12

6

9 3

2

1

4

5

10

11

8

7

12

6

9 3

2

1

4

5

10

11

8

7

12

6

9 3

2

1

4

5

10

11

8

7

12

6

9 : 3 0

9 3

2

1

4

5

10

11

8

7

12

6

2 : 15

9 3

2

1

4

5

10

11

8

7

12

6

11 : 05

9 3

2

1

4

5

10

11

8

7

12

6

7 : 00

9 3

2

1

4

5

10

11

8

7

12

6

1 : 05

9 3

2

1

4

5

10

11

8

7

12

6

8 : 55

9 3

2

1

4

5

10

11

8

7

: : :

: : :

: : :



1 Write each time using the 24 hour clock.

(a) 8.15 am (b) 6.30 pm

(c) 7.15 pm (d) 2.15 am

(e) 10.20 am (f ) 11.08 am (g) 8.06 pm (h) 9.10 pm

(i) 11.09 pm ( j) 2.20 am (k) 5.35 am (l) 7.28 pm

(m) 6.40 pm (n) 5.50 pm (o) 9.25 am (p) 2.45 am

(q) 11.45 pm (r) 1.22 pm (s) 11.11 am (t) 1.05 pm

2 Draw arrows to connect the same times.

12

6

18

9 3

2

1

416

1521

22 14

132324

205

1719

10

11

8

7


12 hour time 24 hour time

9.55 pm 0735

12.40 am 2400

7.35 am 1305

1.05 pm 2155

midnight 0040

24 hour time 12 hour time

2006 5.20 pm

2255 8.06 pm

1200 10.55 pm

1310 1.10 pm

1720 noon

0815



8 Write each time using the 12 hour clock.

(a) 1610 (b) 2130 (c) 0915 (d) 0220

(e) 1008 (f ) 1705 (g) 2200 (h) 0330

(i) 0635 ( j) 1345 (k) 1855 (l) 1410

(m) 2330 (n) 0225 (o) 2017 (p) 0555

(q) 1200 (r) 0412 (s) 0015 (t) 0020

9 Draw arrows to connect the same 24 and 12 hour times.


12 hour times 24 hour times

8.40 pm 0101

1.01 am 0000

1.35 pm 2040

midnight 1335

11 pm 2300

24 hour times 12 hour times

1430 5.20 am

1615 9.12 pm

0520 2.30 pm

2112 8.40 pm

2040 4.15 pm

Remember am or pm

4.10 pm



13 (a) Cut out each jigsaw piece.

(b) Fit the pieces together which show the same time.

(c) Stick them in your jotter.

1630

4.30 pm

21219.21 pm

11.15 pm

2315

3.15 pm

1515

1.10 am

0110

10.15 am

1015

1905

7.05 pm

1210

12.10 pm

8 am

08000430

4.30 am

0705

7.05 am

2200

10 pm


G2 Perimeter and area Worksheet 10.1

1 Find the perimeter of each shape.

(a) (b)

Perimeter � cm Perimeter � cm

(c) (d)

Perimeter � cm

Perimeter � cm

(e) (f)

Perimeter � cm

Perimeter � cm

242

� 4




1 Find the area of each shape.

(a) (b)

Area � � � cm2 Area � � � cm2

(c) (d)


(e) (f)


(g)

Area � � � cm2




3 Use a ruler to measure the lengths of each side.Find the perimeter and area of each shape.

(a) (b) (c)

Perimeter � cm Perimeter � cm Perimeter � cm

Area � cm2 Area � cm2 Area � cm2

(d) (e) (f )


Area � cm2 Area � cm2 Area � cm2

4 Use a ruler to find the perimeter of each shape.

(a) (b) (c)




1 Calculate the area of each shape.

(a) (b)

Area of rectangle A� Area of rectangle K �

Area of square B � Area of rectangle L �

Total area � cm2 Total area � cm2

(c) (d)

Area of rectangle F � Area of rectangle P �

Area of square G � Area of triangle Q �


(e) (f )

Area of square X � Area of square D �

Area of triangle Y � Area of triangle F �


(g)

1 cm

1 cm

2 cm

5 cm

A

B

1 cm

3 cm

2 cm

6 cm

L

K

2 cm

2 cm

4 cm

3 cmG

F

2 cm

2 cm

4 cm

1 cm

Q

P

2 cm

2 cm

3 cm

X

Y

3 cm

3 cm

2 cm

D

F

3 cm

2 cm

4 cm

4 cm

R

T

Area of square R �

Area of triangle T �

Total area � cm2



G2 Information handling Worksheet 11.1

Complete each bar graph to show the information in the table.Use your graph to answer the question.

4

Which is the favourite fruit?

5

Which company sold fewest holidays?

6

Which is the most popular engine size?

7

Which is the least popular type of wool?


Fruit choices

Apple

Num

ber

of p

upils

Fruit

2

0Orange

4

6

8

10

12

Holiday choices

Sunair

Num

ber

of s

ales

Holiday company

2

0

4

6

8

10

12

Engine size

1100 1300 1600

Num

ber

of c

ars

Engine size

4

0

8

12

16

20

24

Wool choices

2-ply 4-ply

Num

ber

of k

nitte

rs

Type of wool

5

0

10

15

20

25

30

35

Fruit Apple Orange Grape Melon

Number 6 9 3 5

Holiday Sunair Clarkson Seasand Medco Ameriplancompany

Frequency 12 6 4 9 11

Enginesize (cc) 1100 1300 1600 1800 2000

Frequency 24 16 20 18 16

Wool 2ply 4ply DK Chunky Arran

Number ofknitters

5 15 35 20 25



Complete the line graph using the information in each table.Use your graph to answer the questions.

4

Which was the busiest time?

Which was the quietest time?

5

Which was the coldest day?

Between which two days was there thebiggest rise in temperature?

6

Which was the busiest day?

If the club is to run for only four days,which day should be dropped?

Why?

7

Which week had the highest sales?

Time 9 am 10 am 11 am 12 noon 1 pm

Number 4 10 8 3 9

Day Mon Tues Wed Thurs Fri Sat

Max temp 6° 2° 5° 11° 7° 8°

Day Mon Tues Wed Thurs Fri

Number 15 25 28 21 9

Week 1 2 3 4 5 6 7

Cake sales 20 24 30 31 40 22 18

Traffic count

9 am 10 am 11 am

Num

ber

of v

ehic

les

Time

2

0

4

Chess club attendance

Mon Tues Wed

Num

ber

of p

upils

Day

5

0

10

15

Temperature

Mon Tues

Max

imum

tem

pera

ture

Day

2

0

4

6

Cake sales

1 2 3

Num

ber

of s

ales

Week

8

0

16

24

32

40

4

12

20

28

36




Use the survey information to label each pie chart.


5. Favourite Sports 6. Favourite Drinks

7. Holiday Resorts 8. Breakfast Foods

RugbyMilk

Larret

Muesli

Sport

Number

Football Rugby Golf Hockey

60 35 40 15

Drink

Number

Milk Water Tea Coffee Soda

12 10 20 12 6

Resort

Number

Benda Cala Marbe Larret Fuent

60 11 40 35 40

Food

Number

Toast Roll Fruit Egg Muesli

50 40 15 11 4



Complete each scatter graph for the information given.

5. 6.

7. 8.

Name

Age

Height

Sue Ted Fay Prue Tim

11 9 8 10 10

120 110 110 118 121

Age and height

8 9 10 11

Hei

ght

Age

Fay110

112

114

116

118

120

122

Weight and dress size

54 56 58 60

Dre

ss s

ize

Weight in kg

Tina

8

62 64

10

12

14

16

Pocket money and

hair colour

Red Brown Black Blonde

Poc

ket m

oney

in £

Hair colour

Sarah

4

6

8

10

12

Shoe size and car

Honda Skoda Fiat Ford

Sho

e si

ze

Car

Pete

5

Lada

6

7

8

9

10

11

Name

Weight

Dress size

Tina Pam Cara Vera Gina

60 58 61 55 63

12 10 12 14 16

Name

Hair

Pocket money

Sarah Cloe Dan Bill Martin

Red Brown Black Brown Blonde

£5 £8 £10 £7 £6

Name

Shoe size

Car

Pete Myra Ian Ria Phil

9 6 5 11 10

Honda Skoda Ford Fiat Lada


G2 Number patterns and formulae Worksheet 12.1

1 Continue each sequence for the next three numbers and write the rule.

Sequence Rule

(a) 10, 12, 14, 16, , , Add .

(b) 3, 6, 9, 12, , , .

(c) 50, 45, 40, 35, , , , Subtract .

(d) 24, 22, 20, 18, , , , .

(e) 1, 5, 9, 13, , , .

(f) 4, 14, 24, 34, , , .

(g) 0, 9, 18, 27, , , .

(h) 36, 30, 24, 18, , , .

(i) 44, 39, 34, 29, , , .

( j) 100, 92, 84, 76, , , .

(k) 1, 2, 4, 8, , , Multiply by .

(l) �13�, 1, 3, 9, , , , .

(m) 64, 32, 16, 8, , , , .

(n) 1000000, 100000, 10000, 1000,

, , , .

(o) �12�, �

23�, �

34�, �

45�, , , , Add to both top and bottom.




1 Legs on chickens

(a) Draw the next pattern in (b) Complete the table:the sequence.

chickens

(c) What is the increase in the number of legs each time?

(d) Complete the formula:

The number of legs is times the number of chickens.(e) Use your formula to find how many legs are on

(i) 7 chickens (ii) 10 chickens

2 Flowers in a bunch


bunches

(c) What is the increase in the number of flowers each time?


The number of flowers is times the number of bunches.(e) Use your formula to find how many flowers are in

(i) 6 bunches (ii) 12 bunches

1 chicken 2 chickens 3 chickens

Number of chickens Number of legs

1 2

2

3

4

Number of bunches Number of flowers

1 5

2

3

4

1 bunch 2 bunches 3 bunches




3 Cakes in a box


boxes

(c) What is the increase in the number of cakes each time?


The number of cakes is times the number of boxes.(e) Use your formula to find the number of links in

(i) 7 boxes (ii) 10 boxes .

4 Links in a chain


chains

(c) What is the increase in the number of links each time?


The number of links is .(e) Use your formula to find the number of links in

(i) 6 chains (ii) 10 chains .

1 box 2 boxes 3 boxes

1 chain 2 chains 3 chains

Number of boxes Number of cakes

1 8

2

3

4

Number of chains Number of links

1

2

3

4




The patterns of shapes below have been made from matchsticks.

1 (a) Draw the next pattern in the sequence.

(b) Complete the table for the number of matches.

(c) The increase in the number of matches each time is


The number of matches is times the shape number.(e) The number of matches in the 7th shape is .

2 (a) Draw the next pattern in the sequence.

(b) Complete the table for the number of matches.

(c) The increase in the number of matches each time is


The number of matches is times the shape number.(e) The number of matches in the 5th shape is .

shape 1 shape 2 shape 3 shape 4

shape 1

shape 4

shape 2 shape 3

Shape number Number of matches

1

2

3

4


1

2

3

4




In questions 3 and 4 below:(a) Draw the next pattern in the sequence.(b) Complete the table for the number of matches.(c) Find the increase in the number of matches each time.(d) Complete the formula.(e) Find the number of matches in the 7th shape.

3

The increase is

Formula: The number of matches is times the shape number.The 6th shape has matches.

4

The increase is

Formula: The number of matches is times the shape number.The 6th shape has matches.


shape 1

shape 4

shape 2 shape 3


1234

shape 1 shape 2 shape 3

shape 4


1234

g2 fractions worksheet 5... · © heinemann education 2005, scottish secondary mathematics, s2...

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