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Worksheets

HKDSE A1 questions

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Mr. Chan bought a car for $143 900. If the value of the car goes down by 10% each year, find its value at the end of the third year. (Give your answer correct to the nearest hundred dollars.)

a)

$94 400

b)

$100 700

c)

$104 900

d)

$115 100

2.

The length of a rectangle is decreased by 20%. If the area remains unchanged, find the percentage increase of its width.

a)

25%

b)

20%

c)

15%

d)

10%

3.

There are 1 200 students in a school, of which 640 are boys and 560 are girls. If 55% of the boys and 40% of the girls wear glasses, what percentage of students in the school wear glasses?

a)

15%

b)

20%

c)

48%

d)

60%

4.

If 125x = 25y and x, y are non-zero, find x : y

a)

1:25

b)

1:5

c)

2:3

d)

3:2

5.

In a map of scale 1 : 500 , the length and breath of a rectangular field are 2 cm and 3 cm respectively. Find

the actual area of this field.

a)

30 m2

b)

150 m2

c)

180 m2

d)

250 m2

6.

The costs of rice of brand A and rice of brand B are $8 / kg and $4 / kg respectively. If x kg of rice of brand A

and y kg of rice of brand B are mixed so that the cost of the mixture is $5 / kg , find x : y .

a)

1:1

b)

1:2

c)

1:3

d)

1:4

7.

Let a and b be non-zero numbers. If 7a + 5b = 3a + 8b , then a : b =

a)

1:2

b)

3:4

c)

2:1

d)

3:2

8.

9 - a2 - b2 + 2ab =

a)

(3 - a + b) (3 + a - b)

b)

(3 + a + b) (3 + a - b)

c)

(a + b - 3) (a + b +3)

d)

(3 - a - b) (3 - a +b)

9.

A box contains two kinds of coins: $ 5 and $ 2. The ratio of the number of $ 5 coins to the number of $ 2 coins is

4 : 5. If the total value of the coins is $ 90, then the total number of coins in the box is

a)

18

b)

21

c)

24

d)

27

10.

The scale of a map is 1 : 800 . If the area of a park on the map is 1 cm2 , then the actual area of the park is

a)

320 m2

b)

160 m2

c)

64 m2

d)

32 m2