7/30/2019 Latih Tubi Mat T4 SET 5

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TUISYEN KITA | cgnashPENCETUS BIJAK MATEMATIK

Latih Tubi Mat T4 set 5

1. The Venn diagram in the answer space shows setsJ,KandL. In the answer space, shade

(a) JL

(b) (KL)J

2. Solve the quadratic equation

(a)2

1)3x(x = x + 6

3. Calculate the values of p and q that satisfy the

simultaneous linear equations:

p + 2q = 62

3p q = -7

4. Diagram 9 shows a right prism with a horizontal

rectangular basePQRS.

Given thatEandFare midpoints ofWVand SR

respectively.

a) Find the length of PFb) Calculate the angle between the linePEand

the planePQRS

c) Name the angle between the planePQVEandthe planePQUT.

5. Diagram 4 shows a pyramid with a horizontal

square baseABCD. Tand U are the midpoints of

sidesAB and CD respectively. The height of the

pyramid is 6 cm. Calculate the angle between the line

VTand the baseABCD.

6. (a) State whether each of the following statementsis true or false.

(i) 23 = 6 or = 3.5

(ii) ( -4 ) x ( -5 ) = 20 and -4 > -2

(b) Complete the premise in the following argument:Premise 1 : If the determinant of a matrix = 0, then

the matrix does not have an inverse.

Premise 2 : ________________________________

Conclusion :Matrix A does not have an inverse.

(c) Write down two implications based on the

following sentence.

AB if and only ifAB = A

7. (a) Rajah 7 menunjukkan 6 kad yang berlabeldengan huruf. Kesemua kad ini dimasukkan ke dalam

sebuah kotak. Sekeping kad dipilih secara rawak

daripada kotak.

(i) Senaraikan ruang sampel.

(ii) Senaraikan semua kesudahan peristiwa dan cari

kebarangkalian bahawa sekeping kad dilabel dengan

huruf vokal dipilih.

(b) Sebuah beg mengandungi 12 keping kad kuning

dan sebilangan kad hijau. Jika sekeping kad dipilih

secara rawak daripada beg itu, kebarangkalian

memilih sekeping kad hijau ialah

. Kemudian, 3

keping kad hijau baru dimasukkan ke dalam beg itu

dan sekeping kad dipilih secara rawak daripada beg

itu. Cari kebarangkalian memilih sekeping kad hijau.

8. The diagram belowshows that the straight line

EF and GH are parallel

Find(a)the equation of EF.(b)the y - intercept and x -intercept of EF

9. The diagram belowshows that EFGH is

parallelogram

(a)the equation of the straightline GH

(b)the x - intercept of thestraight line FG

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7/30/2019 Latih Tubi Mat T4 SET 5

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TUISYEN KITA | cgnashPENCETUS BIJAK MATEMATIK

Latih Tubi Mat T4 set 5

10. Diagram 8 shows a quadrantADO with centreO and a sectorBEFwith

centreB.OBC is a right

angled triangle andD is the

midpoint of the straight line

OC. Given OC= OB =BE

= 14 cm

11. In Diagram 9, OPQSis a quadrant with thecentre O and OSQR is a semicircle with the centre S

Given that OP= 14 cm. Using =7

22,

calculate(a) the area, incm2, of the

shaded region,

(b) theperimeter, incm, of thewhole diagram.

12. Diagram 4 showsa solid formed by joining

a right pyramid and acuboid. The volume ofthe solid is 1 100 cm3.Calculate the height ofthe pyramid

13. Diagram 7 shows a solid formed by combininga right prism with a half cylinder on the rectangular

plane DEFG . DE= 14 cm, EJ= 8 cm, 90DEJ

and the height of the prism is 6 cm. Calculate the

volume, in cm3, of the solid. (Use7

22 )

Kertas 1

1. In diagram 2,PQR is the

tangent to thecircle with centre

O. Given that thelength of arc MN

is equal to lengthof arc NQ. Findthe value of x

2. In Diagram 4,PQR is thetangent to thecircle with centreO. Find the valueof x

3. In Diagram 5, ABC is the tangent to the circle BDEF.The value of x is

4. In diagram 7, PQR is the tangent to the circle .Find thevalue of x + y.

5. Indiagram8, ABC isthetangent tothe circleat B.

Given thatEF = EDand CDF

is thestraight line. Find the value of y .

6. In Diagram 12,tangent CD

touches circleABC with centre O

at C.