2009 acs(br) eoy s1e p1

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Anglo-Chinese School (Barker Road)

1. (a) Arrange 144.3,,147.3,141.3 in descending order.

(b) Estimate the value of EMBED Equation.33

21.29 24.98

342.9

, giving your answer correct to 3

significant figures.

Answer: (a) ____________________ [1]

(b) ____________________ [1]

2. Express EMBED Equation.3 11

3

(a) as a recurring decimal,

(b) as a percentage, correct to 3 significant figures.

Answer: (a) ____________________ [1]

(b) ____________________ [1]

3. Write down the next term of each of the number sequences.

(a) 3.47, 3.84, 4.31, 4.88, _______.

(b) EMBED Equation.365 63

33, ,32,2 2

, _______.

Answer: (a) ____________________ [1]

End-Of-Year Examination 2009 Secondary 1 Express Mathematics Paper 12

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(b) ____________________ [1]

4. A group of 16 students can complete a project in 3 hours.

(a) If 4 students were unable to turn up for the project right from the start, how long would it takefor the rest of the group to complete the project?

(b) To build 3 similar projects, find the number of hours required by a group of 24 studentsassuming that they work at the same rate.

Answer: (a) _________________ hrs [1]

(b) _________________ hrs [1]

5. The bell of School A goes off every 25 minutes while the bell of School B goes off every 30minutes. Pupils of both schools must arrive in school by 07 20, when the first bell goes off.

(a) When is the next time that the bells of both schools go off at the same time, after 07 30?

(b) On Friday, SchoolA and SchoolB have 11 and 10 periods including recess respectively.(i) Pupils of which school are dismissed earlier on Friday?(ii) How much earlier?


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Answer: (a) ____________________ [2]

(b) (i) School _____________ [1]

(ii) ________________ min [1]

6. Given that a = 3, b = EMBED Equation.25

1and c = 2, evaluate

(a) 7abc,

(b) b2c3.

Answer: (a) ____________________ [1]

(b) ____________________ [1]

7. (a) Simplify EMBED Equation.3 uvvuu 9])8(3[ + .

(b) Express EMBED Equation.3( )

( )43

34

4

12

+

+ x

x

xas a single fraction.


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Answer: (a) ____________________ [2]

(b) ____________________ [2]

8. Subtract EMBED Equation.3 )32(22 yxyx + from the sum of EMBED Equation.3

2 23( 4 )5

x xy y+ + and EMBED Equation.32 21(3 2 )

4x xy y

Answer: ________________________ [2]

9. Hannah drove from Town A at an average speed of 66 km/h. Taylor left TownA 20 minutes laterand drove at an average speed ofx km/h.

(a) If Taylor overtook Hannah in half an hour, show that the value ofx is110. [2](b) Hence, find the ratio of Taylors speed to Hannahs speed, expressing it in the form a : b,

where a and b are integers.


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65

35

110F

E

DC


Answer: (b) ____________________ [1]

10. Iris bought a digital camera and a laptop for $1680. The price of the digital camera was 20% thatof the laptop. Calculate the price of the digital camera..

Answer: (a) $ __________________ [2]

11. ABCD is a parallelogram. Given EBC= 35, BCD = 110

and EDC= 65. Calculate the value of

(a) ABE,

(b) DEB, and

(c) reflex BAD.

In each case, give your reasons clearly in

abbreviation form.


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EH

A

B

G

C

F

D


Answer: (a) __________________ [2]

(b) __________________ [2]

(c) __________________ [2]

12. (a) Find the number of sides of a regular polygon given that each interior angle is 165.

(b) The diagram shows a regular octagon. Given that HA // GB and

HG // BE, calculate GBE. Give your reasons clearly in

abbreviation form.

Answer: (a) n = ________________ [2]

(b) __________________ [2]

13. A swimming pool is 100 m long and 40 m wide. Thebottom of the pool slopes uniformly throughout thelength of the pool. It is 1.75 m deep at the shallow endand 3 m deep at the deep end. The depth of water at theshallow end is 1 m.

(a) Find the volume of water in the pool.(b) How much more water must be poured into the pool

to fill it completely?


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Answer: (a) _________________ m3 [2]

(b) _________________ m3 [1]

14. Study the sequence in the diagram below.

(a) Draw the 4th pattern. [1](b) Give the general formula of the number of squares and the number of lines for the nth pattern.

(c) Find the number of lines in the 29th pattern.(d) Find the value ofkif the kth pattern has 214 squares.


Pattern 1 2 3 n

Number of

circles1 2 3 n

Number of

squares2 (1+1) = 4 2 (1+2) = 6 2 (1+3) = 8

Number of

lines(3 1) + 1 (3 2) + 1 (3 3) + 1

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Answer: (b) No. of squares ____________________ [1]

No. of lines ______________________ [1]

(c) No. of lines ______________________ [1]

(d) k= _____________________________ [1]


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15. The bar chart below shows the preference for four clubs in the English Premier League among allSecondary One students in a school in 2009. The names of the clubs are Manchester United,Liverpool, Arsenal and Chelsea.

Secondary One Students' Favourite Soccer Team

0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200

Arsenal

Liverpool

Man Utd

Chelsea

Team

No. of Students

(a) Represent the same information in the pie chart as seen below. Show all your workings in the tablebelow. [5]

Team No. of students Angle of sector

Man United

Liverpool

Arsenal

Chelsea

Total

(b) In 2007, it was recorded that the number of students who preferred Liverpool was 135. Calculatethe percentage increase of students who prefer Liverpool from 2007 to 2009.

Answer: ______________________ % [2]

END OF PAPER 1

End Of Year Examination 2009 Secondary 1 Express Mathematics Paper 110

2009 acs(br) eoy s1e p1

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