JABATAN PELAJARAN KEDAH DARUL AMAN

LATIH TUBIMATHEMATICS SPM( MODULE B SET 4 )

SEKTOR PENGURUSAN AKADEMIK

MODUL B SET 4

1. Solve the quadratic equation

[ 4 marks ]

2.

The diagram shows the distance-time graph of a particle over a period of 18 seconds.

a) Given that the speed of the particle during the first 4 seconds is 2 ms , find the

value of d.

b) Calculate

i) the total distance traveled, in m,

ii) its average speed, in ms , for the whole journey.

[ 6 marks ]

d

4

12

10 180Time (s)

Distance (m)

MODUL B SET 4

3. The Venn diagrams in the answer space show the universal set = P Q R.

On the diagram, shade the region which represents

(a) set Q R,

(b) set (P Q)′ R. [3 marks]

Answer:

(a) P Q R

(b) P Q R

1500

P

M

Q

S

OT

N

MODUL B SET 4

4. The diagram below shows a sector OQS and two quadrants OQM and OPM with the

same centre O. PTON is a semicircle with centre T.

Given that OQ = 7 cm and OT = . Using , calculate

(a) the perimeter of the shaded region ONPM,

(b) the area of the shaded region.

[ 6 marks ]

5. Figure below shows poligons FGHJK and KLMNE, drawn on a cartesian plane.

(a) Transformation P is a translation .

Transformation Q is a reflection in line y = 3.State the coordinates of the image of point E under each of the following transformations:(i) Translation P ,(ii) Reflection Q ,(iii) Combined transformation QP

(4 marks)

(b) (i) KFGHJ is the image of LMNEK under combined transformation VW. Describe in full, the transformation W and the transformation V.

(ii) Given that the area of LMNEK is 14 cm2, calculate the area, in cm2 , of the shaded region.

(8 marks)

KL

MN

E

F

G

H

J