F1 Maths final 05-06_F1 Maths final 05-06.pdf

F1 Maths final 05-06_F1 Maths final 05-06

1. P.1
P.T.O. 2
1 2
1

Good(^_^.)Show
2013-2014 2
nd
Term Examination
Form 1 Mathematics

Name:_______________________ Date: 26-4-2014
Form 1 ______________ Time: 1 hour and 5 mins

Answer ALL questions in sections A and B.
Section A. Multiple Choice (20 marks, 2marks each)
1. 2
1
3
2
2
2
34
 X
X
XX

Refer to the above algebraic expression, what is the sum of
the coefficient of X
2
and the constant term?
A. B. 2

C. 0 D.

2. Tom paid $200 for a book which was marked at $250. What is
the discount percent?
A. 20% B. 25%
C. 75% D. 80%

3. Which of the following is a linear equation in one unknown?
A. a
2
+ 2 – 3b
B. 2a
2
+ 4a
C. a = 6 + 4a
D. 7a = 3b + 2


4. A charity race is divided into four sections, of lengths 2640m,
3460m, 2730m and 1410m respectively. Estimate the average length
of these sections.
A. 10000m
B. 10200m
C. 2400m
D. 2500m

5. Find ∠B in the figure.

A. 30
B. 48
C. 52
D. 60

6. Which of the following pairs of triangles may not be congruent?
A. B.




C. D.

2. Form 1 Mathematics P. 2
To be continued.
7. Which of the following statement is correct?
A. “A” has 2 axes of symmetry.
B. “N” has reflectional symmetry.
C. “T” has 2-fold rotational symmetry.
D. “Z” has 2-fold rotational symmetry.

8. Figure A is enlarged to produce figure B. Find the scale factor of the
enlargement.

A. 0.6
B. 0.8
C. 1.2
D. 1.4

9. Which of the following statistic diagrams is the most suitable
one to present the relationship between the height and weight
of boys?
A. Bar chart
B. Scattered diagram
C. Histogram
D. Pie chart
10. In a company, the number of television sets sold from January
to June in 1994 is represented by the broken line graph below. 20
Jan
0
40
60
Feb Mar AprMayJune
Number of television sets sold
from January to June 1994
Month

Arrange the months by the number of sales in descending
order of magnitude.
A. Mar, Feb, Apr, Jan, June, May
B. Mar, Apr, Jan, Feb, June, May
C. May, June, Jan, Apr, Feb, Mar
D. Apr, Jan, Feb, June, May, Mar


A
B

3. Form 1 Mathematics P. 3
P.T.O.
Section B. Questions (80 marks)
1. Expand the expression   phhp 425  (4 marks)
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2. Find the 7
th
term of the following sequence. (1 mark)
(Write the answer only)
-5, 10, -20, 40 ……
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3. Solve the equation 7 = 235
5
x (4 marks)
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4. A man bought 100 oranges for $200. Later, he sold the first 60
oranges at $3.5 each and sold the rest at $2.5 each. Calculate
a) his total profit, (2 marks)
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b) the profit percent. (2 marks)
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5. The dimensions of the various parts of a flat are as follows:
Dining room 7.83m  2.5m Master room 3.9m  2m
Guest room 2.44m  2m Living room 4.7m  4.1m
Suppose that it costs $5000 to carpet an area of 11m
2
. Estimate the cost of
carpeting the entire flat. (5 marks)
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4. Form 1 Mathematics P. 4
To be continued.
6. Use clustered values to estimate the value of the following expression.
445 + 462 + 449 + 451 + 457 + 439 (2 marks)
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7. Use translation strategy to estimate the value of the expression
(15.2  2.1  5.01)  70  (1.51  2). (4 marks)
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8. In the figure, AB = 6 cm, BD = 4 cm, AC = 5 cm and CE = 7 cm.
Name a pair of similar triangles and give the reason. (6 marks)

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5. Form 1 Mathematics P. 5
P.T.O.
9. In the figure, BECF is a straight line, △ABC  △DEF, cm 3BE , cm 2EC
and cm 6DF .

a) Find CF. (3 marks)
b) If , find AK. (4 marks)
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10. Draw the cross-section obtained when the following solid is cut at the
dotted lines along the given plane. (2 marks)


11. By using a ruler and a pair of compasses ONLY, construct PQR with
PR = 7 cm, RPQ = 30 and PRQ = 45. (6 marks)













Draw the cross-section here. DEFKEC ~

6. Form 1 Mathematics P. 6
To be continued.
12. Find the area of polygon ABCD in the figure. (6 marks)









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13. Rotate the figure through 270˚ clockwise about the origin O. Construct
the new figure on the coordinate plane. (3 marks)

A (-4, 3)
B (0, -2)
D (4, 1)
y
x
0
x
C (4, -2)

7. Form 1 Mathematics P. 7
P.T.O.
14. In figure 1, 5
4 of a bottle in the shape of trapezium prism is filled with
water. The height of the bottle is 20 cm and its base area is 100 cm
2









a) Find the volume of water in the bottle in figure 1. (2 marks)
b) As shown in figure 2, when 5 cubes of side 5cm are being put into the
bottle, a container in the shape of square-based prism is used to store
the water overflowed.
i) Find the volume of water overflow. (3 marks)
ii) Find the height of the water in the square-based container.(3 marks)
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15. The figure showsΔABC.

a) IfΔABC is reflected about the y-axis toΔA1B1C1, drawΔA1B1C1 in
the figure. (2 marks)
b) IfΔABC is reflected about the line L toΔA2B2C2, drawΔA2B2C2 in
the figure. (3 marks)
5cm
5cm
hcm
Figure 1 Figure 2
Water overflowed
20cm
Cubes of
side 5cm
A
B
C
L

8. Form 1 Mathematics P. 8
To be continued.
16. The scores of 32 students in a mathematics quiz (with full mark 10) are as
follows.
4 5 8 6 7 10 6 5 10 5 7 6 9 2 3 7
6 5 8 3 7 5 4 4 9 5 7 5 6 8 9 3
a) Complete the frequency distribution table below. (2 marks)
Score Tally Frequency
1 2
3 4
5 6
7 8
9 10
b) How many students obtained less than 5 marks? (1 mark)
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c) If the passing score is 6, can you tell from the table the number of
students who passed the quiz? Why? (2 marks)
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17. The table below shows the heights of 40 people. (3 marks)
Height (cm) 140 144 145 149 150 154 155 159 160 164 165 169
Frequency 3 6 12 12 4 3
a) What is the class mark of the third interval? ______________________
b) What are the class boundaries of the fifth interval? ________________
c) What class interval does 144.5cm belong to? _____________________

18. The following pie chart shows the means of travel to school of a
group of students.






a) What is the value of „x‟? (1 mark)
b) What percentage of students travel by MTR? (2 marks)
c) If there are 1 080 students, how many students travel by bus?
(2 marks)
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End of paper
Means of travel to school
By bus Others
On foot
By minibus
By MTR
By tram
68
95
72
53
21
x

9. Form 1 Mathematics P. 9
P.T.O.
Good(^_^.)Show
2013-2014 2
nd
Term Examination
Form 1 Mathematics
Answer

Date: 13-6-2005 Time: 8:40a.m.-9:50a.m.
Section A. Multiple Choice (20 marks, 2marks each)

1 2 3 4 5 6 7 8 9 10
C A C D C B D D B C
Section B. Questions (80 marks)
1.   phhp 425  =   phphhp 4525 
= hpphhp 420210
22
 (2A)
= 22
2062 phph  (2A)

2. -320 (1A)

3.

(1M)


(2A)




(1A)

4. a)His total profit = $[60 × 3.5 + (100 – 60) × 2.5] – $200 (1A)
= $[210 + 100] - $200
= $110 (1A)

b) The profit percent = 110/200 × 100% (1A)
= 55% (1A)

5. Area of the flat(8  2.54  22.5  25 × 4)m
2
(1A)
53m
2
(1A)
∴ Total cost of carpeting$(53  11  5000) (1A)
$(55  11  5000) (1M)
$(5  5000)
$25000 (1A)

6. 445 + 462 + 449 + 451 + 457 + 439
 (450 × 6) (1A)
= 2700 (1A)

7. (15.2  2.1  5.01)  70  (1.51  2)
 (15  2  5)  70  (1.5  2) (1A)
 [2  (15  5)]  70  3 (1A)
 6  70  3
 6  3  70 (1A)
 2  70
 140 (1A)



7.5
7.5
3
3
3
22.5
322.5
553517.5
5317.5
2
)53(2
2
35
)53(235
5
5
)53(2
57
5
)53(2
7














x
x
x
x
x
x
x
x
x
x

10. Form 1 Mathematics P. 10
To be continued.
8. a) EADBAC (common angle) (1A+1R) 2
1
cm 4cm 6
cm 5
2
1
cm 5cm 7
cm 6






AD
AC
AE
AB
(2A)
∴ △ABC ~ △AED (ratio of 2 sides, inc. ) (2A)

9.
(a) ∵ △ABC  △DEF
∴ According to the properties of congruent triangles,
BC = EF (1A)
CF
CFECECBE


cm 2cm 2cm 3 (1A)
∴ cm 3CF (1A)
(b) ∵ △KEC ~ △DEF
∴ According to the properties of similar triangles,
cm 4.2
cm 5
cm 2
cm 6



KC
KC
EF
EC
DF
KC (2A)
∵ △ABC  △DEF
∴ According to the properties of congruent triangles,
cm 6.3
cm 6cm 4.2
cm 6




AK
AK
KCAK
DFAC (2A)

10.





11. By using a ruler and a pair of compasses ONLY, construct PQR with
PR = 7 cm, RPQ = 30 and PRQ = 45. (5 marks)













12. Construct a rectangle AEDF such that B lies on DE and C lies on EF.
Coordinates of E = (-4, -2) Coordinates of F = (4, 3) (1A)
Area of rectangle AEDF = 58 = 40 sq. units
Area of ΔABE = 2
45 = 10 sq. units (4A)
Area of ΔADF = 2
28 = 8 sq. units
∴Area of polygon ABCD = (40 – 10 – 8) = 22 sq. units (1A)
Draw the cross-section here. (2A)

11. Form 1 Mathematics P. 11
P.T.O.
13. Correct quadrant (1A) Correct figure (2A)

14. a) Volume of water = 5
4
20100 (1A)
= 1600 cm³ (1A)
b) Volume of 5 cubes = 55
3
 (1A)
= 625 cm³ (1A)
Volume of water overflowed = 625 – (2000 – 1600) (1M)
= 225 cm³ (1A)
Height of water in the container = )55(225 (1A)
= 9 cm (1A)
15. a) Correctly draw A1,B1 and C1. (2A)
Any two of them correct. (1A)
b) 1A for each correct point. (3A)

y
x
y
x
C1
B1
A1
C2
B2
A2

12. Form 1 Mathematics P. 12
To be continued.
16.
a) Complete the frequency distribution table below.
(1A) (1A)
Score Tally Frequency
1 2  1
3 4   6
5 6    12
7 8   8
9 10  5
b) 7 students (1A)
c) No. (1A)
It is because we cannot make sure how many students got 5 marks in this
class interval. (1A)

17.
a) 152cm (1A)
b) 159.5cm and 164.5cm (1A)
c) (145-149)cm/2
nd
Class (1A)
18. a) The size of the angle in the sector corresponding to the item „By
minibus‟



3602168957253
360309
51
( ) (1A)
b) Percentage of students who travel by MTR





72
360
100%
20% (2A)
c) Number of students who travel by bus
 



1080
95
360
285
(2A)
End of paper