Term 3 Week 4

2:24 Addition of large numbers This table shows the

of manufacture of

200i.

353 555

1

980-1 989

1

1

990-1 999

2362922

2000-2001

419837

ffi*

How many vehicles were registered in 2001?

vehicles

registered in NSW in Pre-1 980

year

259 175

6342694

304218 99324 2460814 3967

$ 0s314.50

ffit*

53 12 59 23 62 4 19 3

55 17 92

2

B3

7

5 5

4395489

380186 1242346 94685

*

11 22 11

'r

987 486

2 47 7 3 0 0

2156071

824 3100

23814211 2608694 5214414 16935062

3835000000 910000000 1049000000 2340000000

$684319.74

{

$ 902s0.08

82708.2s $ 99314.7s $1

890600

51

45619.09

$423800.00 $ 9ss00.00 $1 2s600 00

946215 5093614 1420817

';"ft

$246 ',r s3

$ g:'l

60 00

46 $563463.40

ffi * Use the table below to find the population of Australia at the end of March 2003.

WN

#fo)b

W Calculator Challenge

NSW

6691 800

SA

1

528000

Vic

4929800

WA

195'1300

Qld

3774300

Tas

the

197 100

ACT

323 800

476200

Other Territories (Jervis Bay, Christmas lsland and the Cocos lslands)

At the end of March 2003

NT

2 500

Show your method here

estimated resident population of Australia was 1 9 875 000 people.

This was an increase of 88 500 since the end of December 2002.

Esti

mate when Australia's

population reached 20 000 000.

,\

( #4 )

N53.2 Selects and applies appropriate strategies for addition and subrraction

N53.4, WMS3.2

Find the sum.

1.

$53,748.85 655,712.28 863,520.48 + 85,073.98

2.

$111,271.42 420,915.97 223,849.38 88,246.47 + 756,152.14

3.

$73,314.08 732,002.49 + 126,553.61

4.

$457,410.19 198,169.59 887,879.97 + 149,666.51

5.

$387,662.79 215,753.00 720,833.45 331,117.87 + 365,856.60

6.

$81,694.39 115,376.33 181,892.76 246,969.59 + 140,728.59

7.

$805,423.40 658,200.52 + 330,860.13

8.

$491,370.79 296,524.96 964,171.79 + 737,750.08

9.

$810,606.49 635,595.63 474,054.66 886,296.09 + 163,970.47

10.

$210,963.01 108,274.46 52,762.94 + 247,437.16

11.

$816,367.54 391,360.31 534,293.77 675,561.58 + 958,212.04

12.

$924,608.53 573,831.94 924,936.14 + 907,173.17

13.

$110,433.54 884,802.86 368,407.85 961,726.93 + 972,054.46

14.

$551,335.94 692,627.70 + 838,104.37

15.

$970,542.82 615,492.55 565,648.86 + 757,386.33

16.

$275,781.34 776,789.10 767,830.69 + 388,803.52

17.

$646,803.68 562,573.95 424,825.30 263,370.40 + 234,692.31

18.

$15,789.98 623,558.97 289,354.92 + 129,419.43

19.

$265,326.83 724,016.01 + 647,598.98

20.

$571,408.00 182,516.54 + 880,814.86

21.

$95,368.57 405,923.98 + 584,197.61

22.

$197,091.42 90,368.93 380,342.22 + 848,879.56

23.

$663,541.16 922,718.71 204,668.38 325,866.09 + 240,420.18

24.

$492,781.90 487,114.07 490,050.82 551,586.19 + 614,571.20

Find the sum.

1.

$53,748.85 655,712.28 863,520.48 + 85,073.98 $1,658,055.59

2.

$111,271.42 420,915.97 223,849.38 88,246.47 + 756,152.14 $1,600,435.38

3.

$73,314.08 732,002.49 + 126,553.61 $931,870.18

4.

$457,410.19 198,169.59 887,879.97 + 149,666.51 $1,693,126.26

5.

$387,662.79 215,753.00 720,833.45 331,117.87 + 365,856.60 $2,021,223.71

6.

$81,694.39 115,376.33 181,892.76 246,969.59 + 140,728.59 $766,661.66

7.

$805,423.40 658,200.52 + 330,860.13 $1,794,484.05

8.

$491,370.79 296,524.96 964,171.79 + 737,750.08 $2,489,817.62

9.

$810,606.49 635,595.63 474,054.66 886,296.09 + 163,970.47 $2,970,523.34

10.

$210,963.01 108,274.46 52,762.94 + 247,437.16 $619,437.57

11.

$816,367.54 391,360.31 534,293.77 675,561.58 + 958,212.04 $3,375,795.24

12.

$924,608.53 573,831.94 924,936.14 + 907,173.17 $3,330,549.78

13.

$110,433.54 884,802.86 368,407.85 961,726.93 + 972,054.46 $3,297,425.64

14.

$551,335.94 692,627.70 + 838,104.37 $2,082,068.01

15.

$970,542.82 615,492.55 565,648.86 + 757,386.33 $2,909,070.56

16.

$275,781.34 776,789.10 767,830.69 + 388,803.52 $2,209,204.65

17.

$646,803.68 562,573.95 424,825.30 263,370.40 + 234,692.31 $2,132,265.64

18.

$15,789.98 623,558.97 289,354.92 + 129,419.43 $1,058,123.30

19.

$265,326.83 724,016.01 + 647,598.98 $1,636,941.82

20.

$571,408.00 182,516.54 + 880,814.86 $1,634,739.40

21.

$95,368.57 405,923.98 + 584,197.61 $1,085,490.16

22.

$197,091.42 90,368.93 380,342.22 + 848,879.56 $1,516,682.13

23.

$663,541.16 922,718.71 204,668.38 325,866.09 + 240,420.18 $2,357,214.52

24.

$492,781.90 487,114.07 490,050.82 551,586.19 + 614,571.20 $2,636,104.18

5:09 : Advantages and disadvantages of different

$

ruu..

graphs

each graph and match each with its description.

A circle is divided into parts.

No axes are necessary.

It shows how the whole is divided into parts.

It usually does not give details.

It is easy to compare the size of categories.

Uncomplicated and takes up little space.

graph 2

It is easy to read and understand.

It is easy to draw.

Two axes are used.

It is impressive in appearance.

It allows comparisons to be made at a glance.

It shows more detail than most graphs.

I

graph

{

3

I

It is more attractive than most graphs.

It does not give detailed information.

It allows us to compare the sizes of each category easily.

Only one axis is necessary.

It is easy to understand.

graph

4

It shows more detail than most graphs.

All points on the line should have some meaning.

Each point has a reading on both axes.

A line is used to show trends and relationships clearly.

Two axes are used.

graph 5

No axes are necessary.

Uncomplicated and takes up little space.

It shows how the whole is divided into parts.

It usually does not give details.

It is easy to compare the size of categories.

A rectangle is divided into parts.

graph

@ Vrf.

a list of the disadvantages of each of these graphs.

DS3.'l Displays and interprets data in graphs with scales of many-to-one correspondence

Grid coordinates

SOLUTIONS

LONDON STREET MAP

1

See map.

2 a Jubilee Gardens G2 or H2

b Ministry of Defence E1

c Waterloo Train Stn I2

3

See

4

There are many routes you could take. One is shown in blue on the map.

5

Birdcage Walk is a long road passing through A4, B4, B3, C3 and D3. You would need an address on the road to help locate a position more closely.

6

a ‘as the crow flies’ – about 900 metres

7

The gardens are almost rectangular:

on the map.

Area of rectangle ! 150 m × 100 m about 15 000 m2

b

by road – about 1200 m (1.2 km)

You could also use a fraction of a grid square to estimate the area.

Area of 1 grid square = 200 m × 200 m = 40 000 m2 The park fills a bit less than half a square so it has an area of a bit less than 20 000 m2.

© 2009 hotmaths.com.au

Topic: Maps, Plans and Directions

Grid coordinates

LONDON STREET MAP

1

Find and circle these special places on the map: Big Ben and Houses of Parliament (E4), London Aquarium (G3), Westminster Abbey (D4), Paul Mall (A1)

2

Write the grid reference for each of these places. a

Jubilee Gardens

b

The Ministry of Defence

c Waterloo Train Station

3

The London Eye is near Westminster Bridge (G3) on the banks of the Thames River. Mark this tourist attraction on the map.

4

Use a pencil to mark out the route you would take to go from St James’s Park Station (B4) to the London Aquarium (G3) if the trains were not running.

5

Why would it be difficult to give coordinates for Birdcage Walk? __________________________________________________________

6

7

Use the scale to estimate the distance from Houses of Parliament to Waterloo Station: a

‘as the crow flies’ (meaning in a direct line) __________________________________

b

using the shortest route by road __________________________________________

Estimate the area of Jubilee Gardens.

© 2009 hotmaths.com.au

Topic: Maps, Plans and Directions

-"*j@

â‚ŹUIE

Equivalent fractions

1

5 parts coloured.

l0 equal parts altogether.

Carefully study the diagrams and then answer the questions.

a lnto how many parts has A been divided?

[rt] ffi

b How many parts are shaded in A?

c lnto how

A

many parts has B been divided?

d How many parts

are shaded in B?

eThefractionsareA=

3 B-

6

Complete these to make equivalent fractions.

a ii1 1. ?\i\ r

6 !r,

\

b +l xl

=

J/

z

\

a/

t (:.2) -

=

5 (r.2)

t !! b(t) zl =

r / )\ |\'21

z \.' ))

1

(:.4)

4 (x.4) =

Complete these to make equivalent fractions

u

i{i z }=

+ l(

'4\

)-

zl-

e

3(: ) aQ 2)

1 (:6 (,,

ta

2(x 5)

s(:

10

q\tZ).

5(,

M

) ZI: 3(x 3)

B

t (:.

B

I 10

Complete these to make equivalent fracttons.

a;i"i = )

b+t4i=

4

"?[]]=

+I l(^'-_ ----: 5)-

5

1/l\)

e

4l

-

)

6 (r,

2(:

3(x

-

)

?\

t(r1)

A

3(r

\

5 )

Complete these to make equivalent f ractions.

^l 7d

2

t tr= o

b *= f

.1=

g

h

+=

6

t=

4

d+ .l

B

l=

o

=5

L

=

15

18

OPearsonEducaton20O5.Thispagefrom NewSignpostMaths6TB maybephotocopedforcassroomuse

2

6

10