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SectionA (24 marks)
2020-21
Form
1
Name:
MATH
1.
Class:
Memorial College
2020/21
Form 1 Final
Examination
Class No:
Marks:
36
The L.C.M. of 36 and 48 is
A.
12.
B.
96.
C.
144.
D.
288.
MATHEMATICS
PaperII
2.
10 June 2021
10:30 am- 11:30 am (1 hour)
5S12 is a 5-digit number. If it is divisible by 9, which of the following is the value of ?
A.
2
B.
3
C.
4
D.
Instructions:
1.
2.
All questions carry cqual marks.
ANSWER ALL QUESTIONS.
You are advised to
3.
The following shows a sequence of gures formed by dots. The Ist
use an HB pencil to mark all the answers on the
S dots. For any positive integer n, the (n + 1)th
Answer Sheet, so that wrong marks can be
the nth gure.
completely erased with a clean rubber.
gure consists of
gure is formed by adding 4 dots to
You must
mark the answers clearly, otherwise you will lose
..
marks if the answers cannot be captured by the
Scanner.
3.
You should mark only ONE answer for cach
Figures: Ist
3rd
2nd
4t
question.
4.
If you mark more than one answer, you will receive
How many dots are there in the 9th
NO MARKS for that question.
A.
33
No marks will be deducted for wrong answers.
B.
36
4.
C.
37
D.
41
gure?
The priccs of a pen and a pencil are $6 and $2 respectively.
David pays S100 for x pens and
y pencils. Find the change.
A. S(6x+ 2)
cmorial College 2020/21 Final Examination Form I Mathematics II
1/12
B.
S(100- 6x + 2y)
C.
S(100- 6x-2y)
D.
S(6r + 2y - 100)
-morial College 2020/21 Final Examination Form 1 Mathematics II
2/12
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Solve the cquation 3(t + 2)– 8 = 121.
5
A.
t=-41
B.
t=-14
In the gure, AOE is a straight line.
9.
C. t= 14
D. t= 41
A -
C
B
6.
When the product of 6 and y is subtracted from 17, the result is -13.
Which of the following must be an obtuse angle?
Find the value of y.
A
B.
10
C.
15
D.
7
8.
A.
ZAOB
B
LAOD
C
ZBOD
LCOE
D
20
10.
asfollows:
Betty solved the equation 12 +
Ist line
12+ 3x =4-5x
2nd line
3rd line
3x + 5x =4-12
8x =-8
4th line
x=-1
In the gure, ZAOC is a straight angle. Find x +y.
A-
x*1
A.
198°
B.
180°
At which line of the above steps did Betty rst make a mistake?
C.
162°
A.
1st line
D.
142°
B.
2nd line
C.
3rd line
D.
4th line
11.
In the gure, ACB and LACD are supplementary angles. Find a.
142
Which of the following gures is/are convex polygon(s)?
III.
I.
A.
B.
C.
D.
-28c
I only
III only
Iand II only
II and II only
ge 2020/21 Final Examination Form 1 Mathematics II
3/12
A.
38°
B.
42°
C.
48°
D
S2°
:ge 2020/21 Final Examination Form I Mathematics II
4/12
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12.
In the
gure, AOC is a straight line, then y =
15.
16.
A.
13.
30°.
12% ofx is 36, nd the value of x.
A
4.32
B
31.68
C.
300
D.
432
The height of Mary is 10%1lessthan that of Tom.
Find the height of Mary.
B.
140°,
A.
C.
1s0°,
B.
D.
160°.
135cm
136cm
C.
165cm
D.
166cm
How many vertices, edges and faces does a pentagonal prism have?
17.
No. of
vertices
If the approximate value of 75.96 is 76.0, which of the following methods may be used in the
No..of
No.of
edges
faces
10
5
I.
Rounding up
7
III
Rounding down
estimation?
Rounding off
1.
A.
6
B.
6
10
C.
10
15
D.
14.
Itis known that the height of Tom is 150cm.
10
7
15
A.
Ionly
B.
II only
C.
I and lI only
D.
Iand IIl only
In the gure, the volume of the right prism is
18.
G10m
126b13 + (965 x 765) =
A.
16 m
2b2
2
B
12 m
C. 26
22 m
A.
D.
S12 m'.
B.
1328 m'.
C.
3072 m'.
D.
6144 m'.
19.
-1²+(-1)²=
A.
'al College 2020/21 Final Examination Form I Mathematics II
S/N2
((
98614,
-2.
B.
-1.
C.
0.
D.
2.
morial College 20202I
Final Examination Form 1 Mathematics II
6/12
20.
B.
-1.
C.
1.
D.
2.
The compound bar chart below shows the amounts of commission (in thousand dollars) of
4 salespersons in January and February.
-2.
A
21.
24.
Thecoef cientof x'y inthepolynomial -xy(y - *) is
Amounts ofcommisslon of
4 salespersons In
January and February
E
HOJan
Feb
Which of the following points is the nearest to the x-axis?
A
(1, 6)
B.
(5,-7)
C.
(-1, S)
D.
-1,4)
Salesperson
22.
23.
Which of the following data is continuous?
Which twosalespersonshave the same amount of commission in total?
A
Results of rolling a dice for 20 times
A.
John and Tommy
B.
Number of computers in cach library of Hong Kong
B.
John and Lina
C.
Weights of newborn babies in a hospital
C.
D.
Numbers of items thata group of customers bought from a supermarket
D
Tommy and Sue
Sue and Lina
The following table shows the favourite actors of 50 students.
Actor
Frequency
Paul Lam
Jacky Chan
Vincent Mak
Bruce Lce
John Tam
x
13
8
10
If each student can vote for one actor only, who is the most popular actor amongthese50students?
A.
Paul Lam
B.
Jacky Chan
C.
Bruce Lee
D.
John Tam
(4)
fi
al College 2020/21 Final Examination Form I Mathematics II
7/12
al College 2020/21 Final Examination Form I Mathematics II
8/12
SectionB (12marks)
28.
The following stem-and-leaf diagram shows the heights (correct to the nearest cm) of a group of
plants.
25.
Suppose a and b are a pair of opposite numbers. Which of the following must be true?
L.
II.
II
A.
26.
a+b= 0
a-b= 2b
Stem(10 cm)Leaf (1cm)
a+b=-1
2a
Heights ofa group of plants
B.
I and IIl only
C.
II and III only
D.
I,II and III
3 4
40
0
s1
5 b
1
3
9
If the height difference between the tallest and the shortest plant is 36 cm, which of the following
must be true?
If0.089 45 <* <0.089 52, which of the following is true?
A.
x= 0.08 (cor. to 1 d.p.)
B.
x=0.08 (cor. to l sig.
C.
x=0.0895
D.
x=0.0895 (cor. to 3 sig. g.)
g.)
(cor. to 3 d.p.)
I.
b-a=6
II.
The greatest value of a is 4.
III.
The least value of b is 6.
A.
I and II only
B.
I and Il only
II and III only
I,II and III
C.
D.
27.
4 67 8
32
I and II only
Ajewellery shop suffers a loss of 20% from selling anecklace forS1200. If the jewellery shop
29.
sells the necklace for $2400, it will
A
The gures below show a cube, a right triangular prism and a cuboid with total surface areas a cm',
b cm' and c cm² respectively.
suffer a loss of 10%.
make a pro t of 37.5%.
C.
make a pro t of 60%.
D.
makea pro t of l60%.
5 cm
cm
3cm
3cm
4 cm
4 cm
3 cm
4 cm
Which of the following is correct?
A. a>c> b
30.
B.
b>a>c
C.
b>c> a
D.
c>a>b
Which of the following must be correct?
I.
Acute angle + acute angle = re ex angle
II.
Obtuse angle + obtuse angle = re ex angle
III
17)
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/21 Final Examination Form I Mathematics II
Acute angle + obtuse angle = re ex angle
A.
I only
B.
C.
II only
Iand III only
D.
II and IIl only
Memorial College 2020/2I Final Examination Forn I Mathematics ll
10/12
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31.
A(-6, 5) is translated to the left by 3 units and then rotated anti-clockwise about the origin through
270° to B. Find the y-coordinate of B.
34.
In the gure, AQB, BRC, CSD and PORST are straight lines, and AB I/ CD. Find x.
A
A
B
C
P -
S
D.9
8
32.
D
Find the arca of AABC in the gure.
A(6, 3)
A.
70°
B.
80°
C.
100°
D.
110°
x
35.
c-1,-2)
A.
B(5, -2)
15 sq. units
B
18 sq. units
C.
24 sq. units
D.
30 sq. units
36.
In the gure, OM L AB and O4 = OB. The reason for AOAM= AOBM is
A.
RHS.
B
SSA.
C
ASA.
D
AAS.
In the gure, AABC = AAFE and CAE = 22°. Which of the following is
correct?
33.
In the gure, MNl PQ.Find x+y.
My
N
A.
ZBCA = 68°
B.
ZCAB = 68°
C.
ZFAC= 22°
D.
ZBAF= 22°
p
A
80°
90°
C
100°
D
140°
END OF PAPER
æge2020o/21 Final Examination Forn I Mathematics II
11/12
orial College 2020/21 Final Examination Form 1 Mathematics II
12/12
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SectionA(24 marks)
2020-21
Form 1
MATH
Name:
1.
Class:
Aemorial College
202uzi rom i Final Examination
The L.C.M. of 36 and 48 is
A.
12.
2 4. &
Class No:
36
Marks:
Ž,
144.
D.
MATHEMATICS
288.
LCm
4
2r3r2x Sx4= (44
Paper
2.
Slutm
10 June 2021
5512 isa5-digitnumber. If it is divisible by 9, which of the following isthevalue of ?
A.2
B.
3
(4
10:J5 am-11:8 am (1 hour)
=2r9
Instructions:
1.
2.
All qucstions carry cqual marks.
ANSWER ALL QUESTIONS.
You are advised to
3.
The following shows asequenceof gures fomed by dots. The 1st gure consists of
use an HB pencil to mark all the answers on the
5 dots. For any positive integer n, the (n+ 1)th gure is formed by adding 4 dots to
Answer Sheet, so that wrong marks can bc
the nth gure.
completely erased with a clean rubber.
You must
mark the answers clearly, otherwise you will lose
marks if the answers cannot be capturcd by the
scanner.
3.
You should mark only ONE answer for cach
Figures: 1st
2nd
3rd
4th
question,
4.
If you mark more than oncanswer, you will receive
How many dots are there in the 9th gure?
NO MARKS for thatquestion.
No marks will be deducted for wrong answers.
A
33
B.
36
C) 37
D.
4
41
The prices of a pen and a pencil are S6 and $2 respectively.
David pays $100 for x pens and
y pencils. Find the change.
A.
S(6x+ 2y)
B.
S(100- 6r + 2)
C.)S(100- 6r- 2)
D.
Hpllege 2020/21 Final Examination Form 1 Mathematics II
1/12
S(6* + 2y- 100)
tal College 2020/21 Final Examination Porn 1 Mathermatics lI
212
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5.
Solvetheequation 3(t + 2) - 8 = 121.
A.
t=-41
B.
t=-14
Nhen the product of 6 and y is subtracted from 17, the result is -13.
B.
C.
D.
7.
20
3rd line
4th line
+-1-
B
A CAOB
LAOD
10.
as follows:
12 +3x =4-5x
3x + 5x = 4-12
C
ZBOD
D.
LCOE
In the gure, ZAOC is a straight angle. Find x +y.
A-
8x =-8
X=--1
At which line of the abovesteps did Betty rst make a mistake?
A.) 1stline
B.
D
Which of the following must be an obtuseangle?
Find the value ofy.
y=s
Bettysolvedtheequation12
2nd line
t4!
-by -o
15
In the gure, AOE is a straight line.
A
17-(6X4) =s
10
lst line
9.
3t+bst<(3
ll
&t=14
D) t= 41
6
3(tee)-- Ii
r*A-28c
B.
180°
C.
162°
D.
142°
2nd line
C.
3rd line
D
4thline
11.
In the gure, ZACB and ACD are supplementary angles. Find a.
A
142
8.
LAOB Lg0-(42
Which of the following gures is/areconvexpolygon(s)?
I.
A.
38
II.
B) Monly
Iand II only
D.
IIand II only
38°
B.
420
&RB
48°
I only
C.
A.
52°
al College 2020/21 Fioal Examination Fon 1 Mathematics LI
3/12.
(2
jal College 2020/21 Final Examination Form 1 Mathematics II
4/12
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12.
In the
gure, AOC is a straight line, then y=
1S.
12% ofx is 36, nd the valueof x.
4.32
A.
B31.68
(C. 300
X=0
D. 432
16.
The height of Mary is 10% less than that of Tom.
A.
30°.
B
Find theheightofMary.
140°.
(A.A3Scm
150°.
D
13.
(2
tis known that theheight of Tom is 150cm.
B. 136cm
160°.
C.
165cm
D.
166cm
How many vertices, edges and faces does a pentagonal prism have?
No.of
No. of
cdges
faces
6
10
5
6
10
7
10
15
No. of
vertices
17. If theapproximatevalue of 75.96 is 76.0, which of the following methods may be used in the
cstimation?
Roundingof
I.
A
B
II.
A.
7
15
B.
Rounding up
Rounding down
I only
II only
Iand I only
14.
D.
In the gure, the volume of the right prism is
18. 126613 + (965 x 7b6) =
10 m
A)2b,
16m
12 m
2
3
22 m
A.
I and III only
C.
S12 m'.
28 m'.
D.
1:
2B?
(26 6
98614.
22
/3072 m'.
D.
(24(96762
6144 m'.
19. -1 +(-1)²=
A.
-2.
-'t4)= -(*|
2.
AanMemorial College 2020/21 Final Examination Form I Mathematics II
S/12
Memorial College 2020/21 Final Examination Form 1 Mathematics II
6/12
20. Thecoef cient of x*y in the polynomial
-xy(y-
-2.
A.
Thecompound bar chart bclow shows theamounts of commission (in thousand dollars) of
*) is
24.
4salespersons in January and February.
-xy (y-x)
Amounts ofcommisslon of
4salespersonsin
Janvary and February
2.
BFeb
21.
Which of the following points is thencarest to thex-axis?
A
(1,6)
B.
(5,-T)
A
S,5)
D.)-,)
C
D.
6
ants
S unts
¥umis
Salesperson
Which twosalespersonshave thesame amount of commission in total?
22. Which of the following data is continuous?
A.
Results of rolling a dice for 20 tỉmes
An JohnandTommy
B, Number ofcomputersincachlibrary ofHongKong
Jobn and Lina
C)Weights of newborn babies in a hospital
D. Numbers of items that a group ofcustomers bought from a supermarket
23.
C.
Tommy and Sue
D.
Suc and Lina
The following table shows the favourite actors of 50 students.
AtoFFrequeñG
PaulLam.
Jacky Chan
Vincent Mak
13
4
Bruce Lee
Jobn Tam
-10
kcách student can vote for one actor only, who is the most popular actor amongthese 50students?
B.
Jacky Chan
C.
Bruce Lee
Ď.
John Tam
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(2
7/12
aoMemorialCollege2020/21FinalExaminationFam 1Mathenatics I
SectionB (12 marks)
25.
28.
Suppose a and b are a pair of opposite numbers. Which of the following must be true?
1.
a+b=0
a and b aro a pat
a-b= 2b
a+b=-1
A.
syote Namleaa
Heights of a group of plants
Stem(10cn) Leaf(lcm)
I. A=-}
I and II only
2
C. IIand I only
D. 1,I and ÍI
B.
**0.08 (cor. to 1 sig.
C.
x=00895 (cor. to 3 d.p.)
D.)x*0.0895
4
0
1
s1
5 b
3
9
must be true?
1.
ba=6
1I.
Thegreátestvalue of a is 4.
|I.
The least value of b is 6.
o.
*0.08 (cor. to 1 d.p.)
3
40
If the heightdifferencebetween the tallest and the shortest plant is 36 cm, which of the following
X
If0.089) 45 <*< 0.089 52, which of the following is true?
A.
a 4 6 78
2
.-Ath=o
B.) Iand Il only
26.
The following stem-and-leaf diagram shows the heights (correct to the nearest cm) of a group of
plants.
*(So)-bo46)=6
g.)
(cor. to 3 sig. g.)
A.
IandII only
(B. Iandllonly
0.45
C. Iand[Ionly
n S-a3b
b=(o
lah s impuyible
D. I,Iland II
27.
Ajewellery shop suffers a loss of 20% from selling a necklace for $1200. If the jewellery shop
sells the nccklacë for $2400, it will
A.
suffera loss of 1Ở%.
Bmake a pro t of37.5%.
C.makc 'a pro t of60%.
D.
29.
make á pro t of l60%.
b>s
The gures below show ấcube, a right triangular prism and a cuboid with total surface areas a cm',
b cm and c cm' respectively.
*(L.) (o
6cm
3 cm
Vscm
(
4cm
3 cn
4 cm
4 cm
Which of the following is corect?
- bo 7.
b (44r)*t+
a>c>b
Gb>ac
C.
D.
30.
)=
b>c>a
c>a>b
Which of the following must be correct?
I.
Acuteangle + acute angle
re ex angle
Obtuse angle + obtuse angle =re ex angle
Acute angle + obtuse angle = re ex angle
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Memorial College 2020/21 Pinal Examination Forra 1 Mathematics II
9/12
23)
I only
II only
C. Iand l only
D. IlandIIIonly
-
MemorialCollege 2020/2i Fnal Examination Form 1 Mathematics I
1012
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A(-6, 5) is translated to the left by 3 units and then rotated anti-clockwise about the origin through
31.
270° to B. Find the y- coordinate of B.
A.
34.
In the gure, AQB, BRC, CSD and PQRSTare straight lines, and AB II CD. Find x.
„A'(A)
-9
Lesr- (Aa,P (oale .llco)
B.
-T
D
7-l
Find the area of AABC in the gure.
32.
A(6, 3)
A.
70°
B.
80
100°
D.
110°
3S. In the gúre, OMLAB and OA = 0B. Thereason for AOAM= AOBM is
q-1,-2)
(A.) RHS.
B(5, -2)
15 s4. units
33.
B.
18 sq. units
C
24 sq. units
D.
30 sq. units
B.
SSA.
C.
ASA.
D
AAS.
CMOM
(en)
(c
LOMAO
(gnen
B6AM& DBM
= 52
In the gure, MNII PO, Find x +y.
36. In the gure, AABC = AAFE and ZCAE =22°. Which of the following is
2
correct?
-N
A.
B.
ZBCA = 68
ZCAB = 68°
C.
ZFAC = 22°
(em s,A )
(D.) ZBAF= 22°
-Q
90°
C.
100°
D.
140°
sa
R
p
MN RS (Pa
ZNMO+LMOS = (h
(go
ZNMO+LMOS tos1 LQPO = 260
an Memorial College 202021 Final Examination Fornl Mathematics II
(24)
11/12
END OF PAPER
12/12
Jege 202o21 Pinal Exanination Fom 1MathermaticsII