Mathematics in Action 1-3

Amendment Lists

Textbooks.o o. o o.. . o. o o. o. o.. . . . . . o.. o o.. p.1,-L3

Revision Handbooks....... o........ P.l4'16

WOfkbOOkS....o.. o... o o... . o. o... . o... p.17'25

Mathematics in Action 1-3Amendment List for Textbooks

(Amended in 2006)

Student Book 1A

Teacher's Edition 1A

Student Book lB

Page]0 Note for 'Calculator Wizard':

fNote that the order in pressing the keys may bedifferent for different models of calculators.Students should check the keying sequences oftheir own calculators if necessary.l

[Note: The keying sequences might vary fordifferent models of calculators. Students cancheck the user manual of individual calculator.]

31 ,33 The following note for 'Calculator Wizard' isadded.

[Note: The keyrng sequences might vary fordifferent models of calculators' Students cancheck the user manual of individual calculator']

5t Quick PracticeWhen a number is multipled bv . When a number is multiplied by

'11 Solution of Example 2.19(a)we find thaty is 100 more than 100 times that ofx.

we find thaty is 100 more than 100 times ofx.

84 Question 28(b)How many packs ofchocolates Paul can buy atmost?

How many packs of chocolates can Paul buy atmost?

The 'oDen-ended question'logo is deleted.

r46 Question 20If two dozens of ball-pens cost $48 more thanhalf dozen of staplers. find x.

[f two dozen ball-pens cost S48 more than halflozen staolers. find x.

1 8 6 Quick Practice for Example 6.8[Iow manv biscuits are there in the box? How many biscuits are there in the box

orisinallv?

292 A,nswer of Revision Exercise 2, question 27(a)r 2 9 0 0 0 . w > 6 0 . h < 8 s > 9 0 0 0 . w > 6 0 . h < 8

Psoe84 Question 27(a)

s > 9 0 0 0 . w > 6 0 , & S 8 r > 9 0 0 0 . w > 6 0 . h < 8

Paee5 l Note for 'Calculator Wizard'

fNote that the order in pressing the keys may bedifferent for different models of calculators.Students should check the keying sequences oftheir own calculators if necessary.l

[Note: The keying sequences might vary fordifferent models of calculators. Students cancheck the user manual of individual calculator.]

l t 6 IRYITFollow-up Exeroise Q2 (p.118) Follow-up Exercise Q2(a) (p.l l8)

117 TRYITFollow-up Exercise Q3 (p. I 18) Follow-up Exercise 02(b) (p.ll8)

r67 lnteresting MathsIhe Father of Modem Philiosophv fhe Father of Modern Philosophv

190 IRYITExercise lzD Q2 (p.I97)

IRYITExercise lZD 02 (o.198)

193 Think FurtherWhat are the coordinates ... in the figure. What are the coordinates ... in the fisure?

196 Label for the angles in the figure:90, 180,270 t00. 1800,2700

210 Label for the angles in the figure:0, 30, 60, 90, 120, 150, 180, 210,240,270,300,330

0o, 30o, 60o, 90o, 120o, 150o, 180o, 210o, 240o,270". 3000. 330"

2 l l Question 13Label in the figure:0, 30,-60, 90, 120, 150, 180, 210, 240, 270, 300,330, 360

0o, 30o, 60o, 90o, 120o, 150o, 180o, 210o, 240",2700. 3000. 3300, 3600

244 Ihe pie chart on the top right corner:commercial:216o :ommercial:217o

257 Question 2(a) How many students can do 40 sit-ups or

above in I minute?[b) How many sit-ups can most students do in -

minute?

Question 2(a) How many students are in the group?(b) How many students can do 40 sit-ups or

above in I minute?

26s Jolution of Example 14.9O)In the histogram, the frequency of the third classmterval should be 52, but not72.

267 lhere are some changes in the histogram.Mrrkr ol 40 lhrdcnt! In e itsttrGmltic! tast

e

EE 5z

288 Question l2(b)lf 2400 books were borrowed last week,.. tf 2400 books were borrowed last month....

320 Follow-uo Exercise (p. l5) Follow-up Exercise (o. l4), 21 Exercise 9.{ question 42(a)

2(6 -x) m z(6-/')#)22 Revision Exercise 9 question 24(a)

5x cm' l0r cm2324 Exercise llC question 3

'b\ MN= EF'd MN and EF

t25 Revision Exercise l1 question 9n = 90", x: 14"

RevisionExercise ll question 18

q : 9 0 o , x : 1 4

"a)

LABC- LCBD (AAA)

|b) AlnC= LCBD (AAS)

',a) LABD- LCBD(AAA)

ib) LABD= ACBD(AAS)126 lntegrated Assessment A question 19(b)

/es, corr. sides of=A yes, corr. sides of =As

130 Exercise l3Bquestion6Ihe first class interval:1s0.0 - 156.4 1s0.5 - 156.4

J32 Exercise l4B question 2(a) 6 (b) 2r (a) 20 ft) 6

)49 Exercise llE question 5fhe leneth oflB should be 4 cm.

Teacher's Edition 18Pase Amendment

5 rigure of Example 8.lR

T7 A.ctivity 8.5, question 3(a)Leneth of AB = 12.1 cm Lencth of AB = 12.0 cm

z1 Example 8.1IR[Ans.: 12 min] [Ans.: l5 min]

The following figure is added.

Tai WdShatin

KOWLOONKowloon Tong

[rlong KokHom

Tsim

+6 Example 9.6XIf the total volume of the wood used is 190cm- . . .

If the total volume of the wood used is 210cm- . . .

67 Answer of question 24(a)5x cm' lOx cm2

77 mswer of question 8

)5 Answer fquestion l5

t29,130

Assignment Guide for the following questionsQ2-4:20 5 - 1 0 : 3

Q2-4 :2 ,3O5-10 :4

t4l Answer to Think Further.'. lAtOPr = ZAOB (corr. Zs, =A) lA1Op1= ZAOB (corr. Zs, =As)

143 Answer to Think Further.' . ZFOP = IEOP (corr. Zs, =A) IFOP: ZEOP (corr. Zs, =As)

l 5 l Answer of question I 8ic) N4BQ- ACBD(AAA)G) LABez LCBD (AAS)

Answer of question I 8(c\ N4BD- ACBD(AAA)(d\ AABDZ LCBD (AAS)

1 5 8 {nswer of question l9(b)I/es. corr. sides of =A yes, corr. sides of =As

r82 Figure of Example l2.l0RAdd the label v for the y-ads.

190 Example l2.l3RDelete the fust sentence:The figure shows a tiangle PO-R.

200 Answer of question l0(a)The coordinates ofDr should be @.2\.

213 Answer of question 24(b)LAB:CT drawn in the figwe should be deleted.LAzBzCz drawn in the figure is not correct.

257 Answer of question 2la) 6 ft) 2l a )20 (b )6

t73 Table head of Example 14.10RTravelling time (g)

Answer of Example 14.lOROxiii) approximately 23 s

Travelling time (min)

6)(iii) approximately 23 min

307 Question 3fhe datum on row 6, column 3 is ll, but not 1.

Student Book 2A

Teacher's Edition 2A

Student Book 2B

Paie55 Question 2

Why only some regular polygons can tessellate? Explain whv only some regular polygons cantessellate.

222 Quick Practice, part (b)4(?-tc - v\ + 2v= 2Gx + 3v\ l2-tc + v\ + 2y =2(4x + 3v\

288 Exercise 5,{, question 26Z(st-r t+2rst)

Exercise 5A, question 27-2(3ab-4bc+6abc)

Zt(s-r+2rs)

-2b0a-4c+6ac)

Pase195 Answer of question 26

2(st-r t+2rst)

Answer of question 27-2(3ab-4bc+6abc)

7 . t (s - r+Zrs)

Zb6a-4c+6ac ' l

232 Answer of Example 6.7\ part (b)4 9 m 2 + l 7 o m n + 2 5 n 2 49m2+7Qan+25n2

Answer of Example 6.9R, part (a)

o ' _ 8 o b * 1 6 b ,9 3

o ' +8ob +r6b '9 3

,:- Page ,45 Side note 2

Note that the order in pressing the keys maybe different for different models ofcalculators. Students should check the keyingsequences of their own calculators if

Note: The keying sequences might vary fordifferent models of calculators. Students cancheck the user manual of individual calculator.

73, t0l ,102,135,138, 176,177,178,179, r84,1 8 5 , 1 8 6 ,187,192,193,194206

The following side note (or note for 'Calculator

Wizard') is added.

Note: The keying sequences might vary fordifferent models of calculators. Students cancheck the user manual of individual calculator.

206 Summary 3if cos : 0.5. d can be obtained .. if cos d = 0.5. 0 can be obtained

237 Solution of Example 14.7(a), (b), (c)... the height corresponds to ..... ... the height correspondins to ....

The'Interestins Maths' is deleted.282 Answer of Integrated Assessment A

question 12(b)223.432 223rn t .432rn t

Teacher's Edition 28Page

112 Example I1.5X, the label of the length of .FC inthe figure32m )2 cm

1 1 5 Example 11.7RFind the heieht that the peak ham has travelled. Find the vertical distance that the peak tram has

ravelled.

127 The following 'Further questions' is added.

Besides the examples in this art ic le, t ryto f ind two more appl icat ions of goldenrat io through the Internet or otherreference books.[Ans.: Grand Louwe designed by Ieoh MingPei, 'Mona Lisa Smile'porfrayed by Da Vinci (orany other reasonable answers)l

130 Answer of question l2(b)223.432 223,,n.432,'n

1 3 9 Example 12.6R...a semi-circle is cut from a trapezium ABCDwhere lB is ...

...a semi-circle is cut from a trapezium ABCDwhere lD is ...

140 Answer of Example 12.8Xh\2.68 cm (b) 25.5Q cm a) 2.68 (b) 24.50 cm

154 Answer of Example l2.l5R330r cm' l30z cm3

Student Book 3Arz : : : ' : . . r - . , , O r i g i n a l . ' i ' ,. Amendment ' ,

l 0 Question 25(b)Flence. determine whether each of .. Determine whether each of ..

30 Solution of Example 1.9(3) - (1), l3x = 208

x = 1 6(3) - (1), r3y= 208

v : 165 l Activity 2.1 question I

height after the lst week x (l + 10%) cmheieht after the 2nd week x (1 + 10%) cm

neight after the lst week x (1 + 10%)heieht after the 2nd week x (1 + l0%)

106 Questionl 8Find the distance ... in terms of a. Find the distance ... in terms of a,rryhcrc g z !.

109

t12 Solution of Example 3.6(c)Comoarine the numerical value of the slopes Comparins the numerical values of the slopes ..

t47 Perpendicular bisectorA perpendicular line that bisects a side ofatriangle is called a Lernendicular bisector of aside of the trianele.

Footnote:perpendicular bisector Etr+ff"R

l 6 t Follow-up Exercise question ILocate the centroid of ... Locate the circumcenhe of ..

r62 For questions 6 - 8, use compasses and sfraightedee for construction.

For questions 6 - 8, use compasses and ruler forconstruction.

t76 ixercise 5,A question 4

207 gure ofquestion l2

209 Solution of Example 5.20AB ll CD ll EF andAC= CEBD: DF (intercept theorem)BD: DF

I: - x B F

2l -: - x ) C m2

:2.5 cm

AB ll CD ll EF and AC = CEBD = DF (intercept theorem)

I: : x B F2t -= _ x ) C m2

:2 .5 cmDF= BD

=2.5 cm

271 Side view ofthe figure in question l5(a)

Side view of the f,rgure in question l5(b)

/72 Side view ofthe figure in question l5(c)

303 Exercise 1A question 24(b)(- l , 3), (0, l ) , (1, - l ) , (2, -3), (3, -5) - 1 , 3 ) , ( 0 , l ) , ( 1 , - l ) , ( 2 , - 3 ) , ( 3 , - 5 )

or any other reasonable answers)

310 Exercise 38 question 12( t \| ; , 3 | , ( - 7 , 9 ) a n d ( 8 , - 3 )\ z . /

[or any other reasonable answers)

Any three "t [;,:),

t-2, e), (8, -3),

[ni),* any other reasonable answers)

312 Exercise 54, question 4400 u : 40o . y : 30o

] 1 5 Integrated Assessment B question l5(b)80 sq. units 72 sq. units

l l 6 Perpendicular bisector Etr+rlfft Perpendicular bisector ofa side oftriangle= frM ntl -{# jtl ft! Etr +r}#R

Teacher's Edition 3APtse

l 0 Answer of question 24(b)(- l , 3), (0, l ) , (1, - l ) , (2, -3), (3, -5)

Answer of question 27

o = - 5 . b = 32 '

( -1 ,3) , (0 , l ) , (1 , - t ) , (2 , -3) , (3 , -5)(or any other reasonable agswers)

a : - - . b : 5a '

49 Example 2.4R...the number of employees were increased by .. . . .the numbers of employees were increased

b v . . .56 Example 2.1lR

Peter bought g LCD monitor for $2500.

Example 2.12XFind the percentage change ofthe bond ..

Peter bought an LCD monitor for $2500.

Find the percentage change in value of theb o n d . . .

52 Example 2.16& part (b)Find the overall percentage change on the totalexoenditure on the these three items.

Find the overall percentage change on the total:xpenditure on these three items.

67 Answer of Example 2.18R[Ans.: (a) $2a00 $) $600] [Ans.: (a) simple interest : $2400

amount: $ 12 400(b) simple interest : $600

amount :$106001

tl7 Example 3. l lRa

In the figure, the slope of I is: . Find a 'J

.'In the figure, the slope of I is: . Find a correct

J

to fhe nearest desree-

r20 Answer of question 12( r \| * , f | ,G7,9) and (8, -3) (or any other\ l )

reasonable answers)

Any three "t (+,r) , t-2, e), (8, -3),

(n i) ,* any other reasonable answers)

161 Answer of Follow-up Exercise question Iln the figure, change the word 'centroid'to'circumcenbe',

t76 Answer of Exercise 5A question 4+00 r = 4 0 o

y = 3 0 "

244 Answer of Activity 6.2 question l(c)5 o r 6 4 o r 5 o r 6

239 Example 6.2X...which olane is parallel to olane '6'? ..which plane is opposite plane '6'?

255 Example 6.6RIn the fisure. ABCDEFGH is a cuboid. ln the figure, ABCDHEFG is a cuboid.

)_76 Answer of question 5(b)r = 3 2 . 5 " . v : 7 5 o r :32.5o, y = 70o

278 Answer of question 15(b)80 sq. units 72 sq. units

Student Book 38Pepe

1 4 Question l6(b)Delete the following:(Hint: Note that LVPG -LVQC.)

28 Note for 'Calculator Wizard'

fNote that the order in pressing the keys maybe different for different models ofcalculators. Students should check the keyingsequences oftheir own calculators ifnecessarv.l

fNote: The keying sequences might vary fordifferent models of calculators. Students cancheck the user manual of individual calculator.]

31 ,174,177, t78

The following note for 'Calculator Wizard' isadded.

fNote: The keying sequences might vary fordifferent models of calculators. Students cancheck the user manual of individual calculator.]

Table head ofExercise 7C question 2Surface area of the hemisphere

Exercise 7C question 3. . . find the diameter d cm of the watermelon.

Exercise 7C question 4The pedmeter of the flat surface...

Iotal surface area ofthe hemisphere

... find the diameter of tle watermelon.

The circumference of the flat surface...54 Question 19

... and the height of the frustum is 2 cm andft cm respectively.

Question 2lThe hEieht of the small circular cone and ...

and the height of the frustum are 2 cm and hrespectively.cm

The heiehts of the small circular cone and ...100 Solution of Example 9.6

LeI AC intersects BD al M. Let AC intersect BD at M.

l l 4 Solution of Example 9.la@)AB:15.0 m (cor. to the nearest 0.1 m) 48: 15 .0350 m

= 15.0 m (cor. to the nearest 0.1 m)128 Question 16

... an engineer marks a point I on one side ofthe river and two ...

. . . an engineer marks a point A on one side of theriver and obscryesjla-t two ...

132 Question 14Looking from the top A of ...

Question 15Lookine from the top of buildine 8,..

From the top A ...

From the top of buildine 8,..

t4l Question 13]n the figure, the angles n the figure, the angles...

1 5 5 Question 19ln the figure, the line joiningA(-8, -6) andBG2. -3\ cuts ...

ln the figure, the line joiningA(-&, -6) and8G2.3 \ cu ts . . .

zt2 Question 8(b)Do you think it is reasonable to claim that theaverage increase ...

Question 9(c)The bus company claims that the increase infare...

Do you think it is reasonable to claim that theaverage percentage increase ...

The bus company claims that the percentageincrease in fare...

231 Question 20The company manager reported that theaverage increase in profit ...

(b) Find the actual increase in the mean . '

The company manager reported that the average

Elgentaeg increase in profit ...

(b) Find the actual percentage increase in them e a n . , .

263 Based on the above table, the total pointswhich Harry gets in 40 spins= 2 x 3 0 + g 0 x 1 0

Based on the above table, the total points whichFIarry gets in 40 spins= 2 x 3 0 + 8 x 1 0

274.275 fhere are some changes in IT Activiry 12.1 .

278 Question 1lIhe'non-foundation' indication is changed fromruestion ll to question ll(b).

298 Iable head ofExercise 7C question 2Surface area of the hemisphere Iotalsur&.ce area of the hemisphere

299 Revision Exercise 7 question 24(a)5 c m

Exercise 8A question 23

J6 -J,4

300 Revision Exercise 8 question 6

5.68

$ ( s.,6)- l O I - |

sJE[ 8 )301 Revision Exercise 8 question 32(b)

gJ'4

s ( e.O). ' - l O t - |2J2 [ 4 )

t02 Exercise 9E question l3(b))35o or N35.0'E

Revision Exercise 9 question 30(b)1.66 km

135lQ3 or N35.0'E

).663t2 Add the following at the end.

Tao Yuan-ming [6HqE 7

Teacher's Edition 38r aEg

4 Activity 7.1Delete the following:

Teaching ToolVolume of Pyramids

l 5 Add the following:

Teaching ToolVolume of a Cone

l 6 Example 7.7RO) the volume of the cone.lAns.: (b) 35 cm'l

(b) the volume of-the cone in terms of z.l-Ans.: (b) 352 cm'l

2 l Example 7.10R... the slant height of the right circular coneare 16 cm and 7 cm respectively.

The label of slant height in the figure: 7 cm

lAns.: l20z cm2l

... the slant height ofthe right circular cone are16 cm and l0 crn respectively.

The label of slant height in the figure is changedto l0 cm

lAns.: l44r crrfl.22 Example 7.12X

The last sentence:(Give your answers in terms of z.)

'Give vour answers in surd form and in terms ofrr.)

3 l Example 7.19XThe figure shows a metal solid sphere ofsurface arca324xcmz.

(b)(ii) Find the increase in the total surfaceareas.

Ihe surface area of a metal solid sphere is 324ttom',

Ihe location ofthe figure is changed.

(bXii) Find the increase in the total swface area.

43 Example 7.23Rlf the surface area of the smaller sphere is40.5 cm3.

Example 7.24RThe heieht of the smaller bottle and...

lf the surface area of the smaller sphere is 40.5)

cm-.

fire heiehts of the smaller bottle and...f5 Example 7.26R

The volume of two similar pyramids....

Example 7.26XThe volume of cone VAB md frustum..

Ihe volumes of two similar pyramids....

The volumes of cone VDC and frustwn..

I I

) ) Answer of question 24 (a)5 c m )

66 A,nswer of question 23

JE _J'4

58 Answer of Example 8.5R

'*re=LJ ls nng= rF

85 Answer of question 6

5.68

$( s '6 )---l or- |sJr [ 8 )

36 Answer of question 32(b)

sJt4

s ( eJt')-----l ot- |2.12\ 4 )

106 Example 9.9Rft) If the car runs a distance of 100m,

'b) If the car runs a horizontal distance of 100m.

r07 Example 9.10XFind the angle that the new hillside BCmakes with the horizontal.

Find the angle that the new hillside BC makeswith the horizontal, correct to the nearest 0.1o.

t23 Teaching note 9... and then use trigonometric ratios orPvttragoras theorem to solve the problem.

Answer of Example 9.19R(a) 063' ft) 6.10 m

... and then use trigonometric ratios orPythasoras' theorem to solve the problem.

(a) 063.0' (b) 6.10 km

125 Example 9.21R(b) frnd the distance between the typhoon

and observatory O and the compassbearing ofthe typhoon from observatoryO at midnieht correct to I decimal place.

(b) find the distance between the typhoon andobservatory O- and the compass bearing ofthe typhoon from observatory O at midnight.

[Give vour answers correct to I decimal olace.)

128 Answer of question l3(b)035o or N35.0'E 035.0o or N35.OoE

l3s Answer of question 30(b)3.66 km 3.66

148 Answer of Example 10.5R(s \

A: ( -3 ,6) , B: l : - ,2 |\ z )

A: ( -3 ,6 ) ,/ - \

o, [ f .z l12)

1 5 3 Example 10.8RE is a point on AC suchthat AB ll ED.

rAns.:ft) l,-E.g)r' " \ . 4 ' 4 ) -

E is a point onAC such that BA // DE.

/ r < o \[Ans.: (b) | -*,* lt

\ + z )

161 Example l0.l0R(b)(ii) State what kind of triangle LODE ie ib)(ii) State what kind of AODE is.

t74 Example 11.3RThe averase height of the 12 boy's .... Findthe averaqe heieht of all the choir members

Ihe mean height of the 12 boy's .... Find themean height of all the choir members.

r76 Example 11.5RThe following table shows the number ofstorybooks.. .Find the average number of story books ...

Example ll.5XThe following table shows the number ofChristmas cards ...

The following table shows the numbers of storybooks . . .Find the mean number of story books .. '

The following table shows the numbers ofChristrnas cards ...

I NumUerof Christmas I FrequencyI card receivd I

Number of Christmas I FrequencY Icards receivd I I

lf the average number of Christrnas cards ... f the mean number of Chrisfrnas cards ...

207 Example ll.l6R(a) Find the arithmetic mean, the median

and the modes of ...

[Ans.: (a) arithmetic mean: $92.5, median =$70

(b ) . . .1

Example ll.16R(b) Find the arithmetic mean, the median and

the-.lqqlg of ...

[Ans.: (a) arithmetic mean = $92.5, median =

$70. mode =$20(b ) . . .1

208 Example ILlTRThe following table shows the rents of 5kinds ofstores in different areas.

(d) ... the mean rent of the stores B to E.

The following table shows the rents of 5 tvpes ofstores in different areas.

(d) ... the mean rent of the stores of wpe B to E.

274,275 fhere are some chanses in ITActivi$ 12.1

t 3

Mathematics in Action 1-3Amendment List for Revision Handbooks

(Amended in 2006)

Revision Handbook 1A

Revision Handbook 1B

Originall 8 Question l0(a)

Write down a formula calculating the valueof W.

Question 15Usine the general term...

Write down a formula calculating the value of I/f o r c 2 1 2 .

Given that the general term of a sequence is...

70 5 Numerical Estimation(All answers in this chapter are for referenceonly, they are not the unique answers.)

(Answers for Q2 - l0 , I l(b) are for referenceonly.)

I Answel of question l6(a) should be :

Pase .: Original) 6 , 3 7 Questions 8,9

Which of the following are pairs of congruenttrianeles? Give the reason.

In the following, name a pair of congruenttriangles and give the reason.

37 Questions 10, llWhich of the following are pairs of similartriangles? Give the reason.

ln the following, name a pair of similar trianglesand give the reason.

70 Question 6Delete part (b)The orisinal oart (c) is chaneed to part (b).

73 Chapter 8 question 6(c)km m

76 Question 6(a) ls(b) 85 s(c) l l

la):b)

l 5l l

t4

Revision Handbook 2A

Revision Handbook 28

15

Pape

+ Solution for the Example, lines 3 - 5: 180' (int. Zs supp.)

.'. AB // FG (vert. opp. Zs)(b\ ZFDE=70"

= l80o.'. AB ll FG (int. Zs suPP.)

ft\ ZFDE:70" (verr. opp. Zs)

Line 14... the corresponding exterior angels. the corresponding exterior aneles.

t 7 Line 13... that need to be proved. . that needs to be Proved.

34 Question 5Exoress 541 8 second in the followine units Exoress 541 8 seconds in the following units '

t6 Reminder for Example I

N o t e t h e 2 : 3 : ? a n d 3 : 2 : 13 2

Note that , , t :1 and3 :2 =1

46 Last side noteSince base of any triangle must be greater that 0,we can , , .

Since base of any triangle must be greater than 0,we can . . .

65 Chapter l, question 7yes, int. Zs supp.

Chapter l, question 20yes, sides opD. equal Zs

yes, int. Zs supp. (or con. Zs egual)

ves. sides opp. equal Zs (or corr. sides. =As)

56 Chapter 6, question 154 020 025 4f + 20x +25;4 020 025

Page , i Amendment l

16, 17 , 18 Add 'Non-Foundation' logos to Examples 8 - 12.

l 9 The lst sentence of the Quiz:

Simpliff the ...,.. expressions. (l - 5) Simpliff the ...... expressions and express yourmswers with positive indices. (l - 5)

z0 Add 'Non-Foundation'logos to Ql4 - Q20.

24 ,25 Add 'Non-Foundation'logos to Examples 4 - 7'

26 Add 'Non-Foundation'logos to Q7 - Ql5.

' J Question 14

The two pillars of the bridge is 1000 m.. fhe two pillars of the bridge are 1000 m..

J I top right figure Add the symbol 0 in the figure.

54 Question 15

......between the bottom of the hill and thevillaee?

..between the foot of the hill and the village?

60 Example 2

......for the last 30 years. ..for the @! 30 years.

65 Question1 3...comment on the tend of the..

t8 Jhapter 12 questions ll and 12

i l e a : . . . , , , total surface area =

Revision Handbook 3A

The lst sentence below the subhead'A. Simultaneous Linear Equations in TwoUnknowns'

A pair of simultaneous eouation in twounknowns is. . . . . .

A pair of simultaneous linear eouations in twounknowns is. . . . . .

1 6 Example 2

($2.2) ($2.1)

l 9 fhe lst sentence of the Quiz

iln this exercise, ......if necessary.) (In this exercise, ......if necessary. Moreover.questions resardins taxation should refer to thetax rates as shown on p.l5 and p.16.)

26 Example 3(a)

Find the slope of the line.. Find the slooes of the line..

l8 Question l0

A rope lt cm long.. A rope Lf cm long..

58 Ohapter 4 question 10(b)

l c m

Chapter 6 question I

(a) 7 (b) I

Chapter 6 question 2(a)I

la) yes,7 (b) yes, I

Yes, I

Mathematics in Action 1-3Amendment List for Workbooks

(Amended in 2006)

Workbook 1AOrieinal

l 2 Questionl(h)

( . * ) " ( - ; ) ' ( . ' ; ) (.*)'( f.(.';)1 8 Question 8

Which of the following expressions equalst o . . . . . .

Which of the following expressions equals'.

22 Question 3(a)

lf 4rn biscuits are shared among 9 persons,: a c h . . . . . .

If 4m biscuits are shared among 9 personseoually. each......

23 Question 6(a)

What is the price... What is the total price......

64 Jolution of question I

1 l + ( ) = 8 x - (

x = ( )

= ( )

) + 1 1 = 8 x - (

:

( )X = -

( )

r= !__ l66 Question 9

.. . . . .The number of $20-notes . . . . . .$ l0-notes . ..... $50-notes ......$20-no!es by1

. . . . . .The number of $20-note . . . . . .$I0-note . . . . . . $50-note . . . . . .$20-note by 7..

59 Question8

L+n = 4 ,s . -92x 2z

f - +3a = 4A-22x

70 Question 5 option B

Add I to both sides of the equation and itssolution remains unchaneed.

Question 6 option A

.. . . . .no solut ion.

lf I is added to both sides of the equation, itssolution will remain unchanged.

. . . . . .no solut ions.30 Question I option C

.. . . . .amount o:f goods.. ...amount for the goods..

l 1 6 Question 6(bXD

.....,, using ruler, construct..(Hint: Draw CE bv......)

...,.., using g ruler, construct..(Hint: Draw -DCE bv......)

l 7

1 1 9 Question I

[I. A point has no size.m. Aplane has no boundary.

II. A point has no sizes.il. A plane has no boundaries.

123 Question1 2

Given that the formula.. Given the formula..

130 Question 22(bXiD

After selling.. . . . . . . . . .were so ld .

After selling.. . . . .were sold.

(Give your answers correct to 2 decimal places.)

1 3 8 Exercise 1C question 7

245 m 45m,245m

139 Exercise 28 question 2(a)

Theproduot of5 and square ofa is added tothe half of c.

Flalf of c is added to the product of 5 and thesquare ofa.

143 Exercise 7C question 6(bxii)

yes right-angled triangle

144 Revision Test I question 2z(bXii)

. . . . . .= 44To : 10.67%

Workhook her's lldition) lAPage Amendm

8 Solution of question 5(a)

The expression is (+56) + (-70). . . . . .= (+56) + (-70)

= +56 -70

The exprbssion is -70 + (+56). . . . . . : -70 + (+56)

: - 7 0 + 5 6

t2 Solution of question 1(h)

-(*";).(.'i) -(*,.3).(.';)zl Solution of question 2(a)

The product of5 and square ofa is added to thehalfofc.

Half of c is added to the product of 5 and thesquare ofa.

23 Solution of question 6(a)

Ihe pr ice of. . . . . . The total price of...

64 Jolution of question 1

l l + ( 4 x ) = 8 x - ( 5 )

x = (l 6

( 4 x ) + 1 1 = 8 r - ( 5 )

;

56 Solution of question 9

Let. . . . . .$10-noteS.. . . . . .$20-notes . . . . . .and.. . . . . .$50-no!9t. . . . . .

:. . . . . .$10-notes.. .20-notes.. .50-notes.. .

Let

and

. . . . . .St O-note.. .20-note.. .50-note.. .

59 Solution of question 8

v 6 v: - + 3 8 - 4 A - -

2x 2z

L *9 = 4A-382x 'r .

f -+ga = 4A-22x

f - *2 = 4A-382 x z

77 Solution of question 2

= 1080 mHis estimation....

:= 1080 m< 1400 m

His estimation....

78 Solution of question 3

= 4503 tuI ly. . . . . .

Solution of question 4

= $45Patrick does......

= $45> $40

Patrick does..107 iolution of question 7(a) and (b)

a) (b) a) (b)

130 Solution of question 22(bxii)

= $l x (300 - 120)

= $ l x l 8 0

= $ 1 8 0

= $(252 + 180)= $432

. 432 - 300. . . . . . = x l 0 0 %300

t32- _ x 1 0 0 %300

=M

:= $l x (200 - 120)

= $ 1 x 8 0

= $80

= $(252 + 80)= $332

. 332-300. . . ! . . = - x 1 0 0 %300

32= - x 10070

300= l0.67oh (cor. to 2 d.p.)

Workbook (Teacher's Edition) 1A (Solutions for MultiplePase+ Exercise 2G question l2

The ......sequence!2n -L Jtis l2l.

Exercise 2G question 13

2But. . . . . .sequ€Doo - .'

n + 2

The . . . . . .sequence is l2 l .

But. . . . . .sequence.

5 Exercise 3E question 7

fhe coeffrcient of 8x2.... Ihe coefficient ofx'..

7 Exercise 5C question 7

Replace 6374 by 6000.

Exercise 5C question 8

4 7 . 8 5 x . . . . . .

Use the compensation strategy.Replace 6374 by 6000.

Use the translation strategy.4 7 . 8 5 x . . . . . .

1 5 Revision Test II question 48

For II:

:2 straight angle

For II:

:2 straight angles

The estimated height of the......

The estimated area of the kitchen......

ution of question I

The height ofthe......

area of the kitchen......

. - . .. .with a Drofractor correct to the nearest I o.......with a protractor.

58 c-' (......nearest l0 cm3)B. 45 cm3 (......nearest 5 cm3;

. 6 cm' (.. .. ..nearest 10 cm3)40 cm3 (......nearest l0 cm3)

. . . . . .o f length l8 cm and width 20 cm.. . . ' .

following shows some letters, numbers andChinese characters. Some of them havereflectional symmetry. Draw all the axes of

Which of the following letters haveflectional symmetry? Draw all the axes of

sing the line segments below,.....13(b) and (c)

Using the line segrnent below,. ' '.'

Workbook 18

39,40 Question 4, 5, 8 and l0

Which of the following fieure.. Which of the following figures...

10 Question 12

Which of the following statement.. Which of the following statements..

65 Question 5

......of the following is CORRECT? ...of the following is/are CORRECT?

83 Question 1l

. . . . . .or igin to f(5, 2q + l ) , ...origin to )'(5, 2q + l),

34 Question I

Write down the coordinates.. Write down the pSlel coordinates'.

87 Question9

......8(4, -5). ,4 is vertically above B and thedistance between them is l8 urits. Find....,.

. . . . . .B(4, -5). If the distance between ,4 and B isl8 uni ts , f ind. . . . . .

89 Question 2(b)

......using the stadium last week ...usine a stadium last week

92 Question 4

5 7 s - 6 0 s

Question 5(b) and (c)

(b) ......shorter than 150 cm?(c) ......shorterthan 160 cm.

5 7 s - 5 9 s

(b)(c)

......shorter than 149.5 cm?

.. . . . .shorter than 159.5 cm... .t25 Question l7(d)

.. ....fewer than 3 hours.. ..fewer than 3.05 hours..

134 Question 12

.. ....rectangle AEFG is.. ..rectangle AEGF is..

1 3 8 Ihe figure in question 36

c(-2,1) c(-2,4)1 3 9 Ihe sentence below the table in question 40

. . . . . .spend more than 4 hours. . . . . . ..spend 4 hours...

t43 Exercise 88 question 2(a) - (e)

(a) 3.8 km (b) 43.5 kg (c) 24h(d) 1.8 g (e) 250 mL

Exercise 8B question 3(a)

. . . . . . .0 .5 ke /0 .1 ke

a) no, km (b) no, kgc) no, h (d) ro, Be) no, mL

. . . . . . 0 . 1 k e144 Exercise llB question 6

. . . . . . , A S A .,ASA/AAS

a 1L I

's EditionWorkbook BPase

' Orieinal

5 Answers of question 2(a) - (e)

3.8 km43.5ks

24h1 . 8 g

250 mL

) Numerical answer of question 3(a)

0.s kg/0.1 kg 0.1 kg

q Solutions of question 6(a) and (b)

(a) The weight of a.. . . ..

(b) The weight of the......

Solution of queStion 8(a)

The volume of a drop......

a)

b)

The estimated weight ot'a. . . . .

The estimated weight of the..

The estimated volume of a drop. . . .

+'l Answer of question 6

ASA ) .(Reason: ASA/AAS )

Workbook 2APape,

/7 Question l(b)a l8-sided polvson an l8-sidedpolvson

36 Question l0If the sum of the interior angles of an 2n+ided If the sum of the interior angles of a 2n-sided .

7 l Question 12 (a)... Hence. state who can type faster? Hence, state who can type faster.

80 Solution of question 1, lines 2 - 4

. . . ( ) = 4( )s( ) x = ( ) * ( )

* _ 4( )s

Ax = - x (

)

88 Question IIn each of the following, determine whether theequalitv is true. ...

In each of the following, determine whether theequaliry is alwavs true . ...

r46 Exercise 3,A', question I (c)Gl 8

Exercise 3A,, questions 8 and 98 . 19 .3 m9. (a) 9.450 ft) rr.92

G) 8

8. (a) 9.4s0 (b) rr.929. 19.3 m

r47 Exercise 38, question 4(a) (i) 0.a7 kg (iD 0.03 ke

Exercise 3B, question 6(b)0.8 %

Exercise 4,{, question 12(a)Karen

(a) (i) 0.47 ke (ii) 0'03 kgft) (aYii)

Irelative error: -l , percentage error: 0'80lo

Kevin: 37.5 words/min, Karen:45 words/min;

150 Revision Test I, question 2l(a) maximum absolute error:0.05 m

percentage error = 0.40loft) i57.5025m2 (c) $80/m2

a) 12.5 (b) $80/m2 (c)2.5 m2

ion of question 1(b)

' . ' z BAC + ZACD = ($5o+38o) + (50o+27o)= 180o

.'. PB ll CD I int. Zs supp.

ution of question 8, lines 7 - 13

ZCDE+LECD:ZCEA lext. t of

. ' . PB l l CD lal t . zs

(corr. sides, -As)

. Areaof MBC = BC'

Areaof LDFC FC'

AB BC= - x -

DF FCAB BC-= -DF FC

Solution of question 6 (b) (ii)l l! x 9 ! c m x B C

_ 2 " -

3 " ^ " ' " " B C '= -! x 8 c m ' F C F C '2

' ' =4(45 ) s

4y = _ x ( 4 5 ))

=36

Solution of question 1, lines 2 - 5

. . . ( , ) = 4(4s ) s( 5 )x=( a )x ( as )

4 x 4 5x = -

5= 3 6

23

Workbook 28Pase Orieinal

) Solve the following inequalities. (l I - 5; Solve the followine inequalities. (11 - 14)

limolifo the followine exDressions. (l - 4) Simolifu the followins expressions. (l - 14)

70 fuestion 8

Delete the following sentence:' D, E wrdF are the mid-points of AB, BC and CA:espectively.'

76 Question 4

Ametal cylinder of radius 12 cm ....... Find(a) the volume,(b) the base radiusof each of the two cylinders.

Question 5

. . . , . . is f i l led wi th water . . . . . .

A metal cylinder of base radius l2 cm ....... Find(a) the volume,(b) the base radiusof each of the two identical cylinders.

. . . . . . is f i l led wi th some water . . . . . .'t'l Ihe l st sentence of Question 7(b)

Let h cm be......of the cylinders.

30 Question 8

Which of'...'.statements iVare conect? Which of......statements are correct?

)6 Question l6

In the figure. .....AC is the diagonal'. ' ln the figure. . .. ..AC is one of the diagonals.. .

t28 Question 6

fhe figure......a diagonal 6Ji cm. fhe figure.... .,a diagonal of length 6rE cm,

145 Question 33

.. . . . . I f the height of LAID is 3cm... .

Question 34

The fisure shows a solid o:f uniform..

......If the height of AllD with lD as the basei s 3 c m . . . . . .

The fizure shows a solid with uniform......

1 4 9 , 1 5 0Answers ofExercise 8A Q2(a) - (d), Q10(a) - (e),Exercise 9,4' Ql(a) - (e),Exercise 9B Ql(a) - (e),Exercise l0A Ql(a) - (e)

Replace the word 'incorrect'by the symbol 'x'.

Replace the word 'correct'by the symbol '/'.

t54 Exercise laC Q9(c)

Frequency polygon or curve Frequency polygon

25