w9 revision exercise

7/29/2019 W9 Revision Exercise

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Revision ExerciseMaths Form 5

[cikgubid/MathsF5/W9/Thu/KYRHG]

1 Find the value of (7 + 1.65) 0.16 andround off the answer correct to three

significant figures.

A 1.38

B 7.23

C 1.384

D 7.264

2 Express 5630000 in standard form.

A 5.63 106

B 5.63 10 4

C 5.63 104

D 5.63

10

6

3 1314 10541039

A 1410858

B 1410804

C 1310858

D 1310804

4 600000

0084.0

A 1.4

10

8

B 1.4 108

C 1.4 10 2D 1.4 10 2

5 State the value of the digit 3 in the number

51324 , in base ten.

A 25

B 30

C 45

D 75

6 2110110 + 2110111 =

A 10110112

B 11011012

C 11011102D 11100112

7 Diagram 1 shows PQRSTU and KLMUP

are regular polygons.

Find the value ofx.

A 108

B 120

C 132

D 228

8 In Diagram 2, PQU is an equilateral

triangleand PQR is a straight line.

Calculate the value ofx + y.

A 95

B 105

C 135

D 250

Diagram 1

o

x

Q

R

P

K

L

MU

S

T

T

P

Q

R

S

110o

U

50o

yo

75o

x

Diagram 2

Name:


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9 In Diagram 3, PQR is a tangent to thecircle at point Q. QST is an isosceles

triangle.

Find the value ofx.

A 51

B 57

C 60

D 61

10 Diagram 4, shows five pentagons drawn

on square grids.

Which of the pentagon A , B , C or D , is

an image of pentagon P under a translation

3

2?

11 In Diagram 5, PQRSTU is a regular

hexagon and PQVis a straight line.

Given13

12sin RQV , find the value of

UTScos .

A13

5

B13

12

C13

5

D13

12

12 Which graph represent y = sin xo for

001800 x ?

A

B

Rxo

65o

58o

PQ

ST

Diagram 3

P

A B

C D

Diagram 4

T S

P

U R

Q VDiagram 5

y

x

10

1

90 180

y

x0

1

18090

T S


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3

C

D

13 Diagram 6 shows a prism with horizontal

square baseHJKL. TrapeziumEFLKis the

uniform cross-section of the prism. DEKJ

is vertical and GFLHis inclined.

Name the angle between the plane DLH

and the baseHJKL.

A DLKB DHJ

C GHJ

D GHD

14 In Diagram 7, PQ andRSare two verticalpoles on a horizontal plane.

The angle of elevation ofP from Sis 30o.

Calculate the angle of elevation ofR fromP.

A 30o

B 33o

55'

C 51o

20'D 60

o

15 P, Q and R are three points on thehorizontal ground. S is a point on vertical

pole. The angle of depression ofP from S

is m and the angle of depression ofQ fromSis n.Which diagram represents the situation?

A

B

C

y

x

1

0

1

90 180

y

x

1

0

1

90 180

Diagram 6

K

E F

L

D G

J H

6 cm

8 cm

20 m

P

Q

R

S

25 m

Diagram 7

P Q R

S

m n

P Q R

P Q R

S

n m


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D

16 (3m + 2)(1n)(5m)(n3) =

A 6m4mn7n13

B 6m2mn7n + 17

C 172mn7n

D 172mn + 7n

17 Express2

2

9

43

h

h

h

h

as a single

fraction in its simplest form.

Ah

h

3

4

Bh

h

3

4

Ch

h

3

12

Dh3

12

18 Given2

3 mk

, express m in terms of

k.

A 32 km

B km 23

C 322 km

D2

23 km

19 Given )2(735 xx

, calculate thevalue ofx.

A2

1

B3

4

C 2

D2

11

203 4

1

p=

A 43

p

B 34

p

C 43

p

D 34

p

21 qpqp 2231 2)4( =

A5

2q

B5

8q

C 52 qp

D5

8 qp

22 The pie chart in Diagram 8 shows

Ahmads monthly expenditure. Ahmadsmonthly expenditure on transport is RM

240.

Ahmads monthly expenditure on rent and

food, in RM is

A 600

B 810C 880D 900

P Q R

S

m n

150o

80o

60o

Transport

Rent

Food

Others

Diagram 8


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23 Table 1 shows the number of children in40 families.

Number ofchildren

1 2 3 4 5

Number offamilies

8 14 7 5 6

Table 1Find the mean number of children.

A 2.68

B 3.00

C 7.13

D 8.00

24 Diagram 9 shows the graph of

pxyn .

Find the value ofn and ofp.

A 16,2 pn

B 16,2 pn

C 16,2 pn

D 16,2 pn

25 Diagram 10 is a Venn diagram showing

the number of elements in set P, set Kand

setR

It is given that the universal set, = P

K R and n( ) = 29.

Find the value ofn (P ').

A 18

B 20

C 23D 27

26 Table 2 shows how a group of 450

students travel to school.Type of

transportBicycle Motorcycle

Car Bus

Number of

students 130 50 70 200

Table 2

A student is chosen at random from thegroup.

Find the probability that the student travels

to school by bus .

A450

1

B70

1

C9

4

D3

1

27 A container holds 50 packs of sweets anda number of packs of chocolates .The

probability of picking at random a pack of

chocolate is5

3.

How many packs of sweets are there in the

container?

A 20

B 30

C 35

D 45

x

16

Diagram 9

y

RK

P 632

Diagram 10

y


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Paper 2 Format

1 On the graph in the answer space, shade the region which satisfy the three inequalities

1and42,6 xxyxy .

Answer:

2 Solve the following quadratic equation:

3x ( 2x1 ) = 18x.Answer:

3 Calculate the value ofp and of q that satisfy the following simultaneous linear equations:

2p + 3q = 64p q =9

Answer:

x

y

O

42 xy

4

2

6 xy

6

6

4


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4 Diagram 4 shows a cuboid with horizontal baseABCD.

(a) Name the angle between the lineEB and the planeBCHG.

(b) Calculate the angle between the lineEB and the planeBCHG.Answer:

5 (a) State whether the following statement is true or false.

(i)

(ii)

(b) Write down two implications based on the following sentence:

4y > 16 if and only if y > 4.

Implication 1 : ..

Implication 2 : ..

Answer:

(a) (i) (ii) ..

(b)Implication 1 : ..Implication 2 : ..

A B

CD

E

F G

H

3 cm

8 cm

9 cm

Diagram 4

All integers are positive.

52 = 10 or 25 5 = 5.


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6 In Diagram 6, PQ, QR and PSare straight lines.R lies on thex-axis. PQ is parallel to thex-axisand PSis parallel to QR.

(a) State the equation of the straight line PQ.(b) Find the equation of the straight line PSand hence, state the x- intercept of straight

line PS.Answer:

7 Diagram 7 shows a combined solid consisting of a cuboid and a cylinder.

Using =7

22, calculate the volume , in cm3, of the combined solid.

Answer:

y

P

R

Q

x

S(3, 7)

O

Diagram 6

3y + 4x = 12

WV

U

S

R

QP

T

18 cm

10 cm

8 cm

12 cm

4 cm

Diagram 7


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8 Diagram 8 shows two sectors OPQ and ORSTwith the same centre O. ORSis a quadrant andOQ = 3 OS.

OP = 21 cm and POQ = ROT= 135o. Using =

7

22, calculate

(a) the perimeter, in cm, of the whole diagram,(b) the area, in cm2, of the shaded region.Answer:

9 (a) Complete Table 9 in the answer space for the equation2

234 xxy by writingdown the values ofy whenx = 2 andx = 2.5. [2 marks]

(b) For this part of the question, use the graph paper provided on page 15. You may use a

flexible curve rule.

Using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 5 units on the y-axis, draw the

graph of 2234 xxy for 5.34 x . [4 marks](c) From the graph in 9(b), find

(i) the value ofy whenx = 3.5,(ii) the values ofx wheny = 18. [2 marks]

(d) Draw a suitable straight line on the graph in 9(b) to find all the values ofx which satisfy

the equation 742

2

xx for 5.34 x . State these values ofx.[4 marks]

Answer:

(a)

x 4 3 2 1 0 1 2 2.5 3.5

y 16 5 5 4 1 10 31

Table 9

Diagram 8

P

21 cm R

SO

T

Q


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(b) Refer to graph.

(c) (i) y= .................................

(ii) x= .

10 The frequency polygon in Diagram 10 shows the marks for Science monthly test for 42pupils.

(a) Based on the frequency polygon, complete Table 10 in the answer space.

(b) Calculate the estimated mean for the Science monthly test.

(c) For this part of the question, use the graph paper provided.

By using a scale of 2 cm to 5 marks on the horizontal axis and 2 cm to 5 pupils on the

vertical axis, draw an ogive for the data.

(d) State one information based on the ogive in 10(c).

Frequency

17 22 27 32 37 42 47 52 57

Mark

5

10

15

Diagram 10

0


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11

Answer:

(a)

Marks FrequencyCumulative

frequency

Upper

boundaries

1519 0 0

Table 10(b)

(c) Refer to graph.

(d) .

11 You are not allowed to use graph paper to answer this question.

(a) Diagram 11.1 shows a solid with square baseEFGHon a horizontal plane.BL is a quarter sector with radius 3 cm.

F G

M

L

B

D C

A

H

J

K

E

7 cm

5 cm

8 cm

1 cm

Diagram 11.1

3 cm


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Draw full scale, the plan of the solid.

(b) Another solid right prism FPUV as uniform cross-section is joined to the solid in

Diagram 11.1 at vertical plane FRSV. The composite solid is as shown in Diagram

11.2. The base PFGHERQ is on a horizontal plane. Given UP = 3 cm, UT= 6 cm and

UV = 2 cm.

Diagram 11.2

Draw full scale,

(i) the elevation of the solid on vertical plane parallel PFG as viewed fromX,

(ii) the elevation of the solid on a vertical plane parallel to GHas viewed from Y.

END OF QUESTION PAPER

1 cm

F G

M

L

B

C

H

J

K

7 cm

Y

X

A

D

E

P

U

T S

RQ

V

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