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PT3 Mathematics (50) Answer all the questions. Question 1 (a) Diagram 1(a) shows a number line. Determine the value of x , y and x + y. 3 Marks Answer : x : …………………………. y : ………………………… x + y : …………………….. (b) (i) Calulate the valu of and ex!ress the answer as a deimal. Answer : (b) (ii) "dli#s money is three times $ohn#s money. "nita has %&' less than $ohn. he total amount of their money is %& 1 **.  ow muh does eah of them have Answer : "dli#s money : …………………………. $ohn#s money : ………………………… "nita#s money : ……………………….. 4 Marks ®MUHAMMAD ALIFF B ABDUL RAHMAN (TTC) 2

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PT3Mathematics (50)

Answer all the questions.

Question 1

(a) Diagram 1(a) shows a number line.

Determine the value of x , y and x + y.

3 Marks

Answer :

x : ………………………….

y : …………………………

x + y : ……………………..

(b) (i) Calulate the valu of and ex!ress the answer as a

deimal.

Answer :

(b) (ii) "dli#smoney is three times $ohn#s money. "nita has %&' less than $ohn.

he total amount of their money is %& 1 **.

  ow muh does eah of them have

Answer :

"dli#s money : ………………………….

$ohn#s money : …………………………

"nita#s money : ………………………..

4 Marks

®MUHAMMAD ALIFF B ABDUL RAHMAN (TTC) 2

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PT3Mathematics (50)

( c)  " hess lub had - members and / of the members were boys.

0ater, 1' boys and girls 2oined the lub.

  3hat !erent of the members now are girls

Answer :

3 Marks

Question 2

(a) &ath with the orret answer.

Answer :

i.

ii.

iii. 3

3 Marks

(b) Com!lete thw following ste!s by fillinf in the orret answers.

Answer :

4 Marks

®MUHAMMAD ALIFF B ABDUL RAHMAN (TTC)

1 The !"#est c"mm"$m%!ti&!e "' 5 a$

35 The &*ime 'act"* "' 1 is

3 The hi+hest c"mm"$ 'act"*"' 1 , 5- a$ .0 is

3

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PT3Mathematics (50)

(c) 4uan abibah has 1*m loth. 5he uses it to ma6e - urtains and tableloths.

  7ah urtain re8uires 1.9*m of loth and eah tableloth re8uires m of loth.

  3hat is the length, in m, of the remaining loth

Answer :

3 Marks

Question 3

(a)n the answer s!ae, mare ( ) for the orret name of the !olygon and ( )

  for the inorret name of the !olygon.

Answer :

3 Marks

(b)(i)n the diagram below, 0&; and %5 are straight lines.

<ind te value of  p.

Answer :

®MUHAMMAD ALIFF B ABDUL RAHMAN (TTC) -

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PT3Mathematics (50)

(ii) n the diagram below, $=0& is a tra!e>ium and $=4; is a !arallelogran.

Calulate the area of the shaded region, in m'.

Answer :

4 Marks

(c) he diagram below shows the hange in a reading on a weighing sale.

  Calulate the mass, in g, of a bar of hoolate, if all the bars of hoolate have the

same mass.

Answer :

3 Marks

®MUHAMMAD ALIFF B ABDUL RAHMAN (TTC) 5

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PT3Mathematics (50)

Question 4

(a) &ath the diagrams with the orret words.

Answer :

3 Marks

(b) he diagram shows a irle with entre ?.

  Calulate the area, in m', of the shaded region.

Answer :

4 Marks

(c) Diagram below, shows a right !rism.

  Calulate the total surfae area, in m', of the !rism.

Answer :

3 Marks

®MUHAMMAD ALIFF B ABDUL RAHMAN (TTC) /

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PT3Mathematics (50)

Question 5

(a)Determine whether the following statements are true or not true.

3rite TR! or "A#$!.

(i) 5amy bought a number of boxes of oranges.

Unknown : he number of boxes.(ii) % x  & 3 y ' & 12 x 

here are 9 terms in the algebrai ex!ression above.

(iii) % .*a + 5

a

0i6e terms

3 Marks

(b)  Diagram below in thw answer s!ae shows a 8uare 4@%5 drawn on a grid of

e8ual s8uares with sides of 1 unit A, B and are three moving !oints in the diagram.

i. A is the !oint whih moves suh that its distane from !oint @ and !oint 5 isthe same. y using letters in the diagram, state the lous of A.

ii. ?n the diagram, draw

a. he lous for !oint B that is onstantly - units from the !oint %.

 b. he lous for !oint that is onstantly E units from the straight line

4@.

iii. ene, mar6 with the symbol ⊗ the intersetion of the lous of B and the

lous .

4 Marks

Answer :

(a)

(b) (i) + (ii)

(c)

®MUHAMMAD ALIFF B ABDUL RAHMAN (TTC)

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PT3Mathematics (50)

(c) Diagram below shows a !olygon 4 drawn on a grid of e8ual s8uares with sides of

1 unit. ?n the diagram, redraw !olygon 4 using the sale 1 : F .

3 Marks

Answer :

Question *

(a) Diagram below shows a uboid. ;ame and state the number of !arts of the

uboid.

Answer :

3 Marks

®MUHAMMAD ALIFF B ABDUL RAHMAN (TTC)

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PT3Mathematics (50)

(b) (i) n the diagram below, ? is the entre of the irle 0&;. Given that 0?& is a

straight line, find the value of x.

Answer :

  (ii) dentify the regular !olygon with an interior angle of 19*o.

4 Marks

(c) he distane between % and 5 is 9' 6m. %a>i8 leaves % at 19 hours. f hewants to reah 5 at 1H9 hours, what should his s!eed be

3Marks

Answer :

®MUHAMMAD ALIFF B ABDUL RAHMAN (TTC) .

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PT3Mathematics (50)

Question ,

(a) dentify whether the following e8uations are linear e8uations in two variables.

  3rite “ YES” or “NO”  in the box !rovided in the answer s!ae.

Answer :

i. ii. iii.

3 Marks

(b) (i) 5im!lify :

(ii) <ind the value of 

4 Marks

®MUHAMMAD ALIFF B ABDUL RAHMAN (TTC) 10

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PT3Mathematics (50)

(c) Diagram below shows a 8uadrilateral "CD.

(i) Ising only a ruler and a !air of om!asses, onstrut the diagram, beginning

from line " !rovided in the answer s!ae.

(ii) ased on the diagram onstruted in E() (i) , measure the length, in m, of

"C.3 Marks

Answer : (i) + (ii)

®MUHAMMAD ALIFF B ABDUL RAHMAN (TTC) 11

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PT3Mathematics (50)

Question

(a) n the answer s!ae, math eah of the e8uations with the orret gra!h of

funtion.

3 Marks

Answer :

  (i) (ii) (iii)

(b) Diagram below shows two triangles, "C and

"##C#, whih

are drawn on a

Cartesian !lane.

riangle "##C#is the image of

triangle

"C under a lo6wise rotation of Ho.

(i) n the diagram, on the Cartesian !lane mar6 the entre of rotation with

4.

(ii) 5tate the oordnates of 4.

4 Marks

Answer : (i) + (ii)

(c)

®MUHAMMAD ALIFF B ABDUL RAHMAN (TTC)

y = x + 2 y = -2x - 4y = 2x - 2

12

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PT3Mathematics (50)

Diagram above shows a ontainer in the sha!e of a uboid and another in the sha!e of 

a right ylinder. he uboid is om!letely filled with water. "ll the water in the

uboid is !oured into the ylinder. f the height of the water level in the ylinder is

m, find the radius, in m, of the base of the ylinder.

3 Marks

"nswer :

Question -

(a) 5olveeah of the following :

(i) J * K H L m

(ii) ! + 9 K ! L 9

  *

3 Marks

Answer :

(i) (ii)

(b)

4 Marks

(i) 5im!lify *(! L ) L ('! + 9)

Answer :

®MUHAMMAD ALIFF B ABDUL RAHMAN (TTC) 13

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PT3Mathematics (50)

(ii) Given that 9x K * L 'y, if y K J*, find the value of x .

Answer :

(c) he !ie hart in the diagram below, illistrates the sales of various brands of !etrol.

(i) 3hat !erentage of the total sales does M5hellN have

(ii) f M7ssoN aounts for 9/ of the total sales, alulate the angles of x and

y.

(iii) 5tate the mode of the data.

3 Marks

Answer :

Question 1

®MUHAMMAD ALIFF B ABDUL RAHMAN (TTC) 1-

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PT3Mathematics (50)

(a) n diagram below, O is the mid!oint of @%.

(i) 5tate the oordinates of O.

(ii) <ind the oordinates of @.

3 Marks

Answer :

(b) Ise the gra!h !a!er on !age 1- to answer this 8uestion.

  able below shows the values of two variables x and y of a funtion.

  he x L axis and the y L axis are drawn on the gra!h !a!er on !age 1-.

(i) y using a sale of ' m to ' units, om!lete and label the y L axis.

(ii) ased on the table above, !lot the !oints on the gra!h !a!er.

(iii) ene, draw the gra!h of the funtion.

4 Marks

ra/h 0or Question 1 (b)

®MUHAMMAD ALIFF B ABDUL RAHMAN (TTC) 15

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PT3Mathematics (50)

() n diagram shows two right L angled triangles 4@% and @5.

®MUHAMMAD ALIFF B ABDUL RAHMAN (TTC) 1/

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PT3Mathematics (50)

  (i) <ind the value of 5@.

 (ii) t is given 5 is the mid L !oint of @% and tan x o K 1' ,

*

  find the value of os yo.

3 Marks

Answer :

®MUHAMMAD ALIFF B ABDUL RAHMAN (TTC) 1