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1449/1 & 2(PP)  Mathematics Paper 1/2 SEKOLAH MENENGAH KEBANGSAAN BESE! PEPE!KSAAN PE"ENGAHAN "AH#N 2\$1% "!NGKA"AN  MA"HEMA"!'S 1449/1/2 Paper 1 & 2 MAK!NG S'HEME Mars % 100 ) 140 2 1 (  × + Paper  Paper This Marking Scheme consist of 1% printed pages

# SET 12 SKEMA K1 & K2.doc

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8/10/2019 SET 12 SKEMA K1 & K2.doc

1449/1 & 2(PP)

Mathematics

Paper 1/2

SEKOLAH MENENGAH KEBANGSAAN BESE!

PEPE!KSAAN PE"ENGAHAN "AH#N 2\$1%

"!NGKA"AN

MA"HEMA"!'S 1449/1/2

Paper 1 & 2

MAK!NG S'HEME

Mars %100)140

21(   ×

+ Paper  Paper

This Marking Scheme consist of 1% printed pages

8/10/2019 SET 12 SKEMA K1 & K2.doc

SULIT 44912(0TI 2)

MAK!NG S'HEME

S!T 12

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2 " 12 # 22 & \$2 &

\$ # 1\$ " 2\$ % \$\$ "

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# 1 % 2 & \$ "

" 1 % 2 " \$ #

* % 1* & 2* # \$* %

9 # 19 # 29 # \$9 #

10 % 20 " \$0 " 40 %

MAK!NG S'HEME

144912 +TI 2 200 (,,) SULIT

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8/10/2019 SET 12 SKEMA K1 & K2.doc

SULIT 44912(0TI 2)

SE" 12

"!NGKA"AN

MA"HEMA"!'S PAPE 2

Secti*+ A

-o. Marking Scheme Marks

1. (a)

(/)

-ote gie ,1

,1

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2 ∠ "#& or    ∠ &#"

Tan ∠"#& \$0

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8/10/2019 SET 12 SKEMA K1 & K2.doc

SULIT 44912(0TI 2)

4.  x 7 \$ y  24 or   2 x 8  y  22 or  x  117 \$ y or   y  * 8 2 x or

any equivalent

x  \$' or 3 y=14  or any equivalent

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or   any equivalent

1

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or   90.1 or'41

51

51

51

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144912 +TI 2 200 (,,) SULIT

4

8/10/2019 SET 12 SKEMA K1 & K2.doc

SULIT 44912(0TI 2)

(a) If (n 71) is an een integer then n is an odd integer

(/) ImpAication 1 Ifn

m

is a proper fraction then m and

n are integers :ith 0 B mB n

ImpAication 2 If m and n are integers :ith 0 B mB n

thenn

m

is a proper fraction.

(c) 4(n  2 ) 8 \$

n 1 2 \$ 4 C..

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51

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8/10/2019 SET 12 SKEMA K1 & K2.doc

SULIT 44912(0TI 2)

9 (a) 4

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8/10/2019 SET 12 SKEMA K1 & K2.doc

SULIT 44912(0TI 2)

12 (a) (i) (2 2)

(ii) (\$ 8  2)

(iii) ( 8  \$)

(/) (i) (a) M- =otation 90  0  cAock:ise centre at ! E (3 2 1)

-ote

(1) =otation 90  0  cAock:ise or

(2) =otation centre at ! E (3 2 1) gie ,2

(\$) =otation onA? gie ,1

(/) N- !nAargement scaAe factor 2

&entre at ! E ( 3 2 1)

-ote

(1) #ccept M is enAargement - is =otation or

#ccept - is enAargement M is =otation as M-

-M for ,\$.

(2) !nAargement scaAe factor 2 or

(\$) !nAargement centre at ! (3 2 1) gie ,2

(4) !nAargement onA? gie ,1

(ii) 14 ×  (2)  2

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144912 +TI 2 200 (,,) SULIT

8/10/2019 SET 12 SKEMA K1 & K2.doc

SULIT 44912(0TI 2)

1\$ (a)  y  11  y  3 '

Note

(1) If not stated gie 5151 for the ta/Ae

E if points are correctA? marked on the graph

E the c;re passes e6actA? thro;gh the points.

(/) Graph :#6es are dra:n in the correct direction :ith ;niform

scaAe. in the range @\$.' ≤   x ≤  \$.' and −1' ≤   y ≤

1.

#AA points and 2 pointsF are correctA? marked

Smooth c;re and contin;o;sA? in range of @ \$.' ≤   x ≤  \$.' :ith no straight Aine part and passing

thro;gh aAA the correct 9 points.

Note

(i) E * points are correctA? pAotted 51

(ii) +ther scaAe ;sed min;s 1 mark from the 5-

marks o/tained.

(c) (i) '.4 ≤  ? ≤  '.'

(ii) \$.\$ ≤   x ≤  \$. 4

(d) The eG;ation  y  ' x − '

Straight Aine  y  ' x − ' correctA? dra:n and meet the

c;re.

The aA;e of x  \$.2 ≤   x ≤  \$.\$

0. ≤   x ≤  0.

Note(i) #AAo: - mark if  x is sho:n on the graph.

(ii) The aA;e of  x o/tained  /? caAc;Aation gie -0

5151

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8/10/2019 SET 12 SKEMA K1 & K2.doc

SULIT 44912(0TI 2)

144912 +TI 2 200 (,,) SULIT

9

8/10/2019 SET 12 SKEMA K1 & K2.doc

SULIT 44912(0TI 2)

14 (a)

'ass !+ter0a Mip*i+t re3e+c5

I 65 - 69 2

II 70 - 74 2 \$

III ' 3 9 '

IH *0 3 *4 *2 9H *' 3 *9 *

HI 90 3 94 92 \$

HII 9' 3 99 9 1

&Aass interaA (II to HII) aAA correct  Midpoint (I to HII) aAA correct

reG;enc? (I to HII) aAA correct

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(/)

\$0

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24''

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(c) Jistogram#6es are dra:n in the correct direction.

Uniform scaAe is ;sed and 63a6is is Aa/eAed /? midpoints.

#AA /ars are correctA? dra:n

&ompAete histogram

-ote  ' or /ars are correctA? dra:n gie 51-0

(d) ModaA &Aass *0 8 *4

(e)  Example

Man? :orkers at \$1 3 \$' ages  or e: :orkers at '1 3 '' ages

or Top :orkers age is \$\$

or CCCCCCCCCC..

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,2

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66 72 92 967662,6

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1\$

Mark

8/10/2019 SET 12 SKEMA K1 & K2.doc

8/10/2019 SET 12 SKEMA K1 & K2.doc

SULIT 44912(0TI 2)

1' (a) ,Aan

The shape Aooked correct :ith rectangAes >=UH and =STU.

#AA are in f;AA Aines.

>H HT UTK HU =S K >=

The meas;rements are ;p to ± 0.2 cm (one direction) . #ngAes are

190   ± at aAA corners of rectangAes.

51

51 %ept 51

-1 %ep

5151%

(/) (i)The !Aeation from

The shape Aooked correct :ith pentagon 5S=> rectangAe 5&%S

144912 +TI 2 200 (,,) SULIT

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8/10/2019 SET 12 SKEMA K1 & K2.doc

SULIT 44912(0TI 2)

and semi circAe S%J. #AA are in f;AA Aines.

> K 5K5& %S &% K=S semicircAe SJ%

The meas;rements are ;p to ± 0.2 cm (one direction). #ngAes are

190   ±  at aAA corner of rectangAes.

51

51

%ep 51

-2%ep

5151 4

(/) (ii) The eAeation from N

The shape Aooked correct :ith rectangAe 5&%S 5!H> and &!OJ

-ote Ignore Aine %.

% −  is connected /? dashed Aines.

>5 K 5! >H K JO &! K J% S% O

The meas;rements are ;p to ± 0.2 cm (one direction) and angAes

are

190   ±  at aAA corners of rectangAe.

51

51

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51 %ep 5151

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