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85 views16 pagesSec1-Acs-Maths (Cracked)
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Alpha Kiu Chor LeungCopyright
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/ 16
Index no. |
Total A
Anglo-Chinese School
(Barker Road)
END-OF-YEAR EXAMINATION 2006
SECONDARY ONE (EXPRESS)
MATHEMATICS
(PART 1)
TIME: 1 Hour
INSTRUCTIONS TO CANDIDATES:
‘Write index number in the box above.
Answer all the questions in the space provided on the question paper.
All workings must be clearly shown,
The omission of essential steps will result in loss of marks.
The use of calculators IS allowed.
‘The intended marks for each question or part of questions are given in brackets { ] at the
end of the question
Give non-exact numerical answers correct to 3 significant figures or 1 decimal place in
the case of angles in degrees, unless a different level of accuracy is specified in the
question,
‘This question paper consists of 9 printed pages including this page
www.misskoh.com 2 ‘Anglo Chine Scho! Bathe Rood)
3.6~1.55?
¥468.1-=2.2
(&) Round off 2870.594
(@) to one significant figure
(i) to the nearest 10
1. (@) Evaluate » Biving your answer correct to 3 decimal places
Ans: (a) 2]
i),
Nf]
(vii), ia]
Find the least number of people that can be divided into groups of 30, 25 and 10
exactly
Ans:
—_____2]
[End OF-Vear Examinations 2008 3 ‘Anglo Chint choot (Barker Rod)
3. The diagram below shows a sequence of figures with different numbers of dots.
Figuie 1 is an equilateral triangle. The rest of the figures are formed by placing,
two or more of figure 1 side by side.
L. LVN LN
Figure 1 Figure 2 Figure 3
The total number of dots and the area for each figure are tabulated in the table
below.
Figure 1 [2
Total number of dows |4_[7_| 10 _
‘Area (unit?) iB ~
(i) State the figure which has a total of 19 dots.
(ii) Find the number of dots in figure 15,
(ii) Find the area of figure 25
Ans:()___{j
@_
@i)__
4, Anthony, Keith and Max shared a sum of money in the ratio 5 u ce If Max
has $22 more than Keith, calculate the amount of money Anthony has.
Ans 3]
www.misskoh.com 4 ‘Anglo-hinse School (Baker Road)
5. Here is a shape of a regular pentagon.
(Draw on the diagram below how you can divide the pentagon into 5 equal
isosceles triangles.
(i) Find angle x°
Ans: ()__(on diagram) _[1}
(b), O)
6. The volume ofa cube is 512 cm”. Find its surface area
Ans: 12)
nd-O6 You txominains 2006 5 Anglo-Chinse Soa (Barker Rows)
The following diagram shows the travel graph of a jogger.
N
Distance (km)
10 20 30 40 SO 60 70 80 90 Time (min)
(@) Find the distance covered by the jogger.
(b) How long did the jogger take to reach his destination? (before he returns
back to starting point)
(©) Describe what the jogger is doing during the stage AB represented on the
graph.
Ans:(a)___ ft]
()]
©,
0
8. The owner of'a shop makes a 45% profit for every cake he sells, Ifhe made a
profit of $36 when he sold a 2.5kg cake. Calculate the selling price of | kg of the
cake.
—————___ 3]
End OF-Year Examinations 2006
www.misskoh.com 6 ‘Angle Chinee School (Barker Road)
9. (a) Subtract 3a° + a? —4a45 from a? ~2a"+9a
(0) Express, fens ~ 252Y as a single faction in its simplest form.
Ans:(a), P)
® BD
10. Solve the following equations:
(a) 3x-4=x410
(b) 6y-(2-4y) = 4(2y 41) —2y
Ans: (a) 2
@)__[3}
End Of Year amination: 2006
www.misskoh.com 7] ‘Anglo Cio Schoo! asker Road)
i. Simplify
ee ao
3 4 5
(ii) 2a~[Sa~7b -8(9a— 26)}
Ans)
. @2
12. (a) In the diagram, find
(the area of the parallelogram
(i) the value off
83cm
on
(b) In the diagram, if the area of the trapezium ABCD is 121 em?, find the
value of x.
p_ @
Ans: (ai) 0)
@___ im
©, 2)
End OF-Year Examinations 2096
www.misskoh.com 8 ‘AngloChinse School (ker Ros)
13, The line graph shows the profit of XYZ Company from 1996 10 2000. Use itto
answer the questions that follow.
(2) What is the company’s total profit over the five years?
(&) There was a drop in profit given that period of five years
()—_Tnwhich year was there a drop in profit?
Gi) Whatis the percentage decrease in profit in that year compared to
the previous year?
Ans: (a) 2}
(bi)
(vii) 1
Em OF Year Examinations 2006
www.misskoh.com 9 Anglo Chines Schl (Baker Rod
14 A
E
a
B. Cc
In the diagram above, BDE is a straight line and AE is parallel to BC. Triangle
ABC is an isosceles triangle where AC = BC, ZAEB = 39° and ZACB = 50°.
Calculate
(@) EAD,
(b) ZBAC,
(© ZeDC,
(3) ZABE,
i) re
()
@ ay
@) —_2]
End-of Paper
End-OFeur Examination 2006
www.misskoh.com Anglo-Chinese School
(Barker Road)
END-OF-YEAR EXAMINATION 2006
SECONDARY ONE EXPRESS
MATHEMATICS
PART 2
TIME: 1 Hour 30 minutes
INSTRUCTIONS TO CANDIDATES
Answer all questions.
Start each question on a fresh page.
‘Show your answers and working on the writing papers provided,
Omission of essential workings will result in loss of marks,
INFORMATION FOR CANDIDATES
‘The number of marks is given in [_] atthe end of each question or part question
The total of the marks for this paperis 50.
‘The use of an electronic calculator is expected, where appropriate
Give non-exact numerical answers correct to 3 significant figures or | decimal place in the case of
angles in degrees, unless a different level of accuracy is specified in the question
This question paper consists of 4 printed pages including this page
www.misskoh.com 2 ‘Aniglo-ChineseSchool (Barker Road)
1, The cash price of a car is $71,000. It can also be purchased based on the following hire
purchase terms: $5,000 deposit, balance at 2% per annum simple interest for 7 years, paid
by monthly installments.
Calculate
(a) the monthly installment, to the nearest dollar. B]
() the percentage difference between the hire purchase price and the cash price
Express your answer to 2 decimal places (2)
2. The diagram below shows a cylindrical pipe filled with water. Given that
OA and OB are the radii of the shaded circle and OA = OB = Sem, OD is 2.5em,
AB = 8.7cm, AOB = 120° and the length of the pipe is 20cm.
a) Find the area of AABO 1
b) Express the reflex angle AOB
as a fraction of the fall circle
in the simplest form ii] A
©) Using your answer in part (b),
find the area of the shaded part,
aiving your answer correct to
‘two decimal places, 2)
4) Find the volume of water, giving
your answer correct to two decimal places. {2}
22
Take # = 2
¢ 7)
3. (@)__‘ We men can paint a building in 21 days, how many days would h take 1d mento
paint a similar building? (assuming that the men work at the same rate) [2]
(b) The cost of Book A to Book B are in the ratio 5 : 6. The cost of Book B to Book C
are in the ratio 2 : 3. Express the cost of Book A, Book B and Book C in the ratio
A:B Cin the simplest form. 2)
1 =
(©) 740 people signed up fora contest, of these people signed up on the first day of
promotion, : ofthe remainder signed up on the last day of promotion. How many
people signed up on the last day of promotion? 2)
4. (a) The table shows the telephone rates for overseas calls,
Country [First block of 3 mins] Subsequent block oF imin
Hong Kon; $10.50 $3.25
‘America $15.80 34.50
Tom made a telephone call to Hong Kong for 6 mins and another call to America
for 5 mins. How much would he have to pay for the two overseas calls? [3]
End-OF-Year Examinations 2006
www.misskoh.com 3 ‘Anglo-ChineseSchool Barker Road)
(b) _Jerry’s monthly salary consists of $850 plus a commission of 15% on the
total sales made.
(If his total sales for the month of March is-$25 000, what is his income
for the month of March? O
Gi) IEhis income for the month of May is $7 300, what is the total sales he
made for the month of May? 2
3. (@)_ The diagram below shows a kite ABCD. Find the values of x and y re]
B
(b) In the diagram below, AE is parallel to RS, ZQDE = 143° and ZRBA = 115°.
Calculate ZDQR, stating your reasons clearly. B)
R >_5
Q
115%, 143°
A B D E
6 @_ A stretch of road, 2 kim long, is represented by 2 om on a map
(@ Express this in the ratio 1 : n, where mis a positive integer. ri]
Another stretch of road is represented by 10.5 cm on the same map.
(i) Whatis the actual length of this road in km? 2)
Gi) How long, in minutes, will a lorry traveling at 50 knv/h, take to travel from
one end of the road to the other?
(b) _The marks of 30 students in a mathematics test are as follows:
37 4840S CSCC
24300 «38 4139 9 420355
35. 504234 35802233 378
Draw a stem and leaf diagram
End-OF-Year Examinations 2006
2]
(21
www.misskoh.com 4 Anglo-ChineseSchool (Barker Road)
7. (@_-Mrs Morgan made x butter cookies and twice as many chocolate cookies as butter
cookies for a party. At the party, : of the butter cookies and 300 chocolate
cookies were eaten.
(Write down and simplify an expression in x for the total number of cookies
left 2]
Gi) the total number of cookies left was 69, find the original number of
chocolate cookies made. Bi)
(b) David sold a painting at $420, he would make a loss of 30%. How much must he
sell to make a 20% profit? (21
8 (@ Construct a quadrilateral ABCD such that AB = 6 cm, 3C=8 em, CD = 12 om,
DA-= 10 om and diagonal AC = 10 cm. 2)
(0) On the same diagram, construct
@ the angle bisector of Z ABC and label it (i), ul
(i) the perpendicular bisector of AD and label it (ji), 0)
(©) Mark the point X where the two bisectors meet.
Measure and write down ZCXD. rea)
End-of-Paper
End-Of-Year Examinations 2006
www.misskoh.com 10 ‘Aaglo-Chinee School (Barker Road)
Sec 1 Express End-Of-Year Examination 2006 Mathematics Part 1 Answers
Qa
» @
@
a
6
q
8
@
Qo
Qu
Qi
as
Qua
(a)
(b)
(b)
@)
an,
(itl)
c)
@
(b)
©
@)
(b)
(a)
()
@
Gi)
@)
@)
(b)
@
()
(b)
@
(0)
0.154
@ 3000
i) 2870
150
Figure 6
46
49 units?
$132
108°
384 cm”
10km
60 mins
The jogger was resting for 10 mins
$46.40
-2a 3a? + 13-5
IIx+16y
15
oy
12
69a—9b
(72cm
Gi) -h=6cm
x=13cm
$31 million
@ 1999
(ii) 333%
50°
65°
End OF ear Examinations 2006
www.misskoh.com ul ‘Anglo Chinse Schoo (Bucker Ros)
(©) aoe
@) 26
End OF Ver Exanintions 206
www.misskoh.com 5 ‘Aglo-ChineseSchool (Barker Road)
SECONDARY ONE EXPRESS END-OF-YEAR 2006 MATHEMATICS PART 2
ANSWERS
QI (@)_ $896 (to the nearest dollar)
(b) 13.01% (to two decimal places)
Q2 (@) 10.875 cm?
) 2
3
(©) 63.26 (to two decimal places)
(a) 1265.12 em? ( to two decimal places)
3 (@) 9 days
(0) Cost of Book A - Book B : Book C= 56:9
(©) 370 people
Q4 (@) $45.05
(b) @ $4600
(e) Gi) $43 000
WS @ x=26°
)