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Final Exam Mathematics F3 Semester 2 2020

Total questions: 40

Worksheet time: 3hrs 20mins

Name
Class
Date
1.
a)

A

b)

B

c)

C

d)

D

2.

a)

A

b)

B

c)

C

d)

D

3.

a)

A

b)

B

c)

C

d)

D

4.

Simplify

 8x8×3x56x9\frac{8x^8\times3x^5}{6x^9}  

a)

 6x56x^5  

b)

 4x44x^4  

c)

 2x52x^5  

d)

 2x42x^4  

5.

Given that 
 72x1=343,7^{2x-1}=343,  find the value of x.

a)

5

b)

3

c)

4

d)

2

6.

a)

A

b)

B

c)

C

d)

D

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

A

b)

B

c)

C

d)

D

9.

Write
 3.84×1043.84\times10^4  as a single number.

a)

3840

b)

38400

c)

384000

d)

3840000

10.

 6.8×103(4×104)2\frac{6.8\times10^{-3}}{\left(4\times10^{-4}\right)^2}  

a)

 1.7×1041.7\times10^4  

b)

 1.7×1051.7\times10^5  

c)

 4.25×1044.25\times10^4  

d)

 4.25×1054.25\times10^5  

11.

a)

A

b)

B

c)

C

d)

D

12.

Azhari deposits RM8000 in a bank. After 3 years, he received an interest of RM120. Calculate the interest rate offered by the bank per annum.

a)

0.5%

b)

0.4%

c)

0.05%

d)

0.004%

13.

Bo Nian deposits RM7000 in a saving account for 8 months. The interest rate offered is 1.5% per annum. Calculate the interest receive by Bo Nian after 8 months.

a)

RM35

b)

RM70

c)

RM140

d)

RM150

14.

Encik Faizol made a personal loan of RM60000 from CIMP Bank with an interest rate of 6% per annum. The period to pay back the loan is 7 years. Calculate the monthly instalment that need to be paid by Encik Faizol.

a)

RM300

b)

RM3600

c)

RM1014.29

d)

RM1217.43

15.

Sammy bought unit trusts worth RM10000. After two years, Sammy sold all the unit trusts. He received RM 10600. During two years of holding the unit trusts, he received RM800 dividend. Calculate the return on investment of Sammy.

a)

6%

b)

8%

c)

12%

d)

14%

16.

a)

A

b)

B

c)

C

d)

D

17.

a)

A

b)

B

c)

C

d)

D

18.

In diagram, quadrilateral R' is the scale drawing of quadrilateral R. Determine the scale used.

a)

1:2

b)

1:3

c)

1:121:\frac{1}{2}

d)

1:131:\frac{1}{3}

19.

A regular hexagon with side length of 12cm is drawn by using the scale of 1:1/4 . Calculate the perimeter, in cm, of the scale drawing.

a)

48

b)

96

c)

144

d)

288

20.

A river of length 340km is drawn on a map with the length of 8.5cm. Find the scale used.

a)

1:4000

b)

1:40000

c)

1:400000

d)

1:4000000

21.
a)

3

b)

12

c)

15

d)

20

22.

a)

1325\frac{13}{25}

b)

1225\frac{12}{25}

c)

1213\frac{12}{13}

d)

2425\frac{24}{25}

23.

Determine sin P.

a)

828\frac{8}{\sqrt{28}}

b)

288\frac{\sqrt{28}}{8}

c)

34\frac{3}{4}

d)

43\frac{4}{3}

24.

Given that  tanθ=13,\tan\theta=\frac{1}{\sqrt{3}},  which of the following is true?

a)

 sinθ=12\sin\theta=\frac{1}{2}  

b)

 sinθ=32\sin\theta=\frac{\sqrt{3}}{2}  

c)

 cosθ=12\cos\theta=\frac{1}{2}  

d)

 cosθ=32\cos\theta=\frac{\sqrt{3}}{2}  

25.

Diagram shows a circle with centre O. Find the value of x.

a)

1150115^0

b)

1300130^0

c)

2300230^0

d)

2950295^0

26.

Diagram shows a cyclic quadrilateral ABCD. Find the value of x.

a)

95095^0

b)

90090^0

c)

60060^0

d)

45045^0

27.

Diagram shows a circle, ABCD. BED is the diameter and AEC is a straight line. Find the value of x?

a)

20020^0

b)

25025^0

c)

30030^0

d)

35035^0

28.

In Diagram, ABCD is a cyclic quadrilateral of a circle. Find the value of x and y.

a)

x=910x=91^0 , y=520y=52^0

b)

x=920x=92^0 , y=540y=54^0

c)

x=850x=85^0 , y=430y=43^0

d)

x=870x=87^0 , y=450y=45^0

29.
a)
b)
c)
d)
30.

Diagram shows a cube, EFGHIJKL. Which of the following is the normal to the plane GHIL?

a)

EF

b)

EH

c)

EJ

d)

GL

31.

Diagram shows a cuboid on a horizontal plane. Which of the following is the normal to the plane PQRS?

a)

TU

b)

VW

c)

WT

d)

WR

32.

Diagram shows pyramid on a horizontal plane. Which of the following is the normal to the plane RSTU?

a)

VO

b)

VR

c)

VS

d)

UOS

33.

Diagram is made up of four identical squares. X is moving point in the square PRTV such that it is always equidistant from lines PQR and VUT. Determine the locus of X.

a)

Line WOS

b)

Line QOU

c)

Line POT

d)

Line ROV

34.
a)

A

b)

B

c)

C

d)

D

35.

Diagram is a square PQRS with sides of 2 cm. X is a locus of a moving point such that it is always equidistant from points S and point Q. Y is the locus of a moving point such that its distance is always 2cm from point Q. Which of the following points are the intersection of locus X and locus Y?

a)

P and Q

b)

P and R

c)

Q and R

d)

Q and S

36.

Diagram shows a square PQRS drawn on a square grids with sides of 1 unit. X and Y are moving points in the square . X is always equidistant from PQ and PS. Y is always 1 unit from RS. Which of the points, A, B, C or D, is the intersection of locus X and locus Y?

a)

A

b)

B

c)

C

d)

D

37.

The diagram shows a straight line PQ. Find the equation of the line PQ.

a)

y=2x+8y=-2x+8

b)

y=2x+8y=2x+8

c)

y=2x8y=-2x-8

d)

y=2x8y=2x-8

38.

The diagram shows two straight lines PQ and RS that are parallel. Find the value of y.

a)

4

b)

5

c)

6

d)

7

39.

The diagram shows a straight line PQ on a Cartesian plane. Find the value of x.

a)

1

b)

2

c)

-1

d)

-2

40.

Diagram shows the straight line AB with equation  y=43x+8y=\frac{4}{3}x+8  . Determine the equation of straight line CD which is parallel to straight line AB and passes through point (6,4).

a)

 y=43x+4y=\frac{4}{3}x+4  

b)

 y=43x4y=\frac{4}{3}x-4  

c)

 y=43x+12y=\frac{4}{3}x+12  

d)

 y=43x+2y=\frac{4}{3}x+2