2:24 Addition of large numbers

This table shows the year How manyof manufacture of vehicles vehicles wereregistered in NSW in 200i. registered in

Pre-1 980 353 555

1 980-1 989 1 259 175

1 990-1 999 2362922

2000-2001 419837

30421899324

24608143967

2001?

6342694987 486

2156071

2381421126086945214414

16935062

$684319.74 {$ 902s0.0851 45619.09

5

5

2

7

4395489

'r 8906002 47 7 3 0 0824 3100

3835000000910000000

10490000002340000000

$423800.00 ';"ft

$ 9ss00.00$1 2s600 00

113

1223

4

2253596219

11551792B3

ffi*

*

3801861242346

94685

94621550936141420817

ffit* $ 0s314.50$1 82708.2s$ 99314.7s

$246 ',r s3 60

$ g:'l 46 00

$563463.40

WN#fo)bWCalculatorChallenge

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

NSW 6691 800 SA 1 528000 NT 197 100

Vic 4929800 WA 195'1300 ACT 323 800

Qld 3774300 Tas 476200

Other Territories (Jervis Bay, Christmas lsland

and the Cocos lslands)

2 500

At the end of March 2003 the 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. $53,748.85655,712.28863,520.4885,073.98+

2. $111,271.42420,915.97223,849.3888,246.47

756,152.14+

3. $73,314.08732,002.49126,553.61+

4. $457,410.19198,169.59887,879.97149,666.51+

5. $387,662.79215,753.00720,833.45331,117.87365,856.60+

6. $81,694.39115,376.33181,892.76246,969.59140,728.59+

7. $805,423.40658,200.52330,860.13+

8. $491,370.79296,524.96964,171.79737,750.08+

9. $810,606.49635,595.63474,054.66886,296.09163,970.47+

10. $210,963.01108,274.4652,762.94

247,437.16+

11. $816,367.54391,360.31534,293.77675,561.58958,212.04+

12. $924,608.53573,831.94924,936.14907,173.17+

13. $110,433.54884,802.86368,407.85961,726.93972,054.46+

14. $551,335.94692,627.70838,104.37+

15. $970,542.82615,492.55565,648.86757,386.33+

16. $275,781.34776,789.10767,830.69388,803.52+

17. $646,803.68562,573.95424,825.30263,370.40234,692.31+

18. $15,789.98623,558.97289,354.92129,419.43+

19. $265,326.83724,016.01647,598.98+

20. $571,408.00182,516.54880,814.86+

21. $95,368.57405,923.98584,197.61+

22. $197,091.4290,368.93

380,342.22848,879.56+

23. $663,541.16922,718.71204,668.38325,866.09240,420.18+

24. $492,781.90487,114.07490,050.82551,586.19614,571.20+

Find the sum.

1. $53,748.85655,712.28863,520.4885,073.98

$1,658,055.59+

2. $111,271.42420,915.97223,849.3888,246.47

756,152.14$1,600,435.38

+

3. $73,314.08732,002.49126,553.61

$931,870.18+

4. $457,410.19198,169.59887,879.97149,666.51

$1,693,126.26+

5. $387,662.79215,753.00720,833.45331,117.87365,856.60

$2,021,223.71+

6. $81,694.39115,376.33181,892.76246,969.59140,728.59

$766,661.66+

7. $805,423.40658,200.52330,860.13

$1,794,484.05+

8. $491,370.79296,524.96964,171.79737,750.08

$2,489,817.62+

9. $810,606.49635,595.63474,054.66886,296.09163,970.47

$2,970,523.34+

10. $210,963.01108,274.4652,762.94

247,437.16$619,437.57

+

11. $816,367.54391,360.31534,293.77675,561.58958,212.04

$3,375,795.24+

12. $924,608.53573,831.94924,936.14907,173.17

$3,330,549.78+

13. $110,433.54884,802.86368,407.85961,726.93972,054.46

$3,297,425.64+

14. $551,335.94692,627.70838,104.37

$2,082,068.01+

15. $970,542.82615,492.55565,648.86757,386.33

$2,909,070.56+

16. $275,781.34776,789.10767,830.69388,803.52

$2,209,204.65+

17. $646,803.68562,573.95424,825.30263,370.40234,692.31

$2,132,265.64+

18. $15,789.98623,558.97289,354.92129,419.43

$1,058,123.30+

19. $265,326.83724,016.01647,598.98

$1,636,941.82+

20. $571,408.00182,516.54880,814.86

$1,634,739.40+

21. $95,368.57405,923.98584,197.61

$1,085,490.16+

22. $197,091.4290,368.93

380,342.22848,879.56

$1,516,682.13+

23. $663,541.16922,718.71204,668.38325,866.09240,420.18

$2,357,214.52+

24. $492,781.90487,114.07490,050.82551,586.19614,571.20

$2,636,104.18+

I

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I

5:09 : Advantages and disadvantages of different graphs

$ ruu.. each graph and match each with its description.

graph

graph

graph

graph

graph

A circle is divided into parts.No axes are necessary.It shows how the whole is dividedinto parts.

It usually does not give details.It is easy to compare the size of categories.Uncomplicated and takes up little space.

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 ata glance.

It shows more detail than most graphs.

It is more attractive than most graphs.It does not give detailed information.It allows us to compare the sizes of eachcategory easily.

Only one axis is necessary.It is easy to understand.

It shows more detail than most graphs.All points on the line should have somemeaning.Each point has a reading on both axes.A line is used to show trends andrelationships clearly.Two axes are used.

No axes are necessary.

Uncomplicated and takes up little space.It shows how the whole is dividedinto parts.

It usually does not give details.It is easy to compare the size of categories.A rectangle is divided into parts.

2

3

4

5

@ 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

SOLUTIONS

Grid coordinates

© 2009 hotmaths.com.au Topic: Maps, Plans and Directions

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 on the map.

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 b by road – about 1200 m (1.2 km)

7 The gardens are almost rectangular:

Area of rectangle ! 150 m × 100 m

about 15 000 m2

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.

Grid coordinates

© 2009 hotmaths.com.au Topic: Maps, Plans and Directions

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 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 __________________________________________

7 Estimate the area of Jubilee Gardens.

€UIE Equivalent fractions 1

5 parts

coloured.

l0 equal parts

altogether.

Carefully study the diagrams and then answer the questions.

[rt] ffi

1/l\)a;i"i = )

"?[]]= e

Complete these to make equivalent f ractions.

^l 2d 7- b *= f .1= 4

h t= B = 18

A

+ l(^ 5)-I - '-_ ----: -4l )

)3) e

?\ A\

-"*j@

a lnto how many parts has A been divided?

b How many parts are shaded in A?

c lnto how many parts has B been divided?

d How many parts are shaded in B?

eThefractionsareA= 3 B- 6

Complete these to make equivalent fractions.

1 1. ?\a ii i\ =r \ J/

r / )\6 |\'21!r, z \.' ))

Complete these to make equivalent fractions

u i{i z }= M

+ l( )-'4\ zl- B

Complete these to make equivalent fracttons.

b+t4i= 4

t (:.2) -5 (r.2) -

1 (:.4) =4 (x.4)

3(: )aQ 2)

t (:. I2(x 5)ta

5

q\tZ).5(, )

t(r1)3(r )

10

2L6

1-5

d+

.ll=

og += 6t tr= o

b +l xl =z \ a/

t !! zl =b(t)

ZI:3(x

1 (:-6 (,,

B

10

5

s(:6 (r,

2(:3(x

=5

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