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S3 HW 2

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

詠雪從一副52張撲克牌中隨意抽取一張,求抽出「K」或「A」的概率。

A card is drawn from a pack of 52 playing cards. Find the probability of getting a ‘King’ or an ‘ace’.

a)

1/26

b)

1/13

c)

2/13

d)

1/4

2.

從3至12中隨意選取一個整數。求選得可被6整除的數字的概率。

An integer is selected at random from 3 to 12 inclusively. Find the probability that the number is divisible by 6.

a)

1/3

b)

1/4

c)

1/5

d)

1/6

3.

城市A及城市B之間有2條公路連接,而城市B與城市C之間有4條公路連接。求由城市A經城市B駕車至城市C的方法的總數。

There are 2 roads connecting City A and City B, and 4 roads connecting City B and City C. Find the number of ways that a driver can travel from City A to City C via City B.

a)

2

b)

4

c)

6

d)

8

4.

陳先生有2名兒子及1名女兒。李先生有1名兒子及1名女兒。若他們家中各自隨意挑選1名小童,2名均是女兒的概率為

Mr. Chan has 2 sons and a daughter.

Mr. Lee has a son and a daughter. If a child is selected randomly from each family, the probability of getting 2 daughters is

a)

1/6

b)

1/3

c)

1/5

d)

5/6

5.

明華有3枝原子筆(紅、藍及黑)及2枝螢光筆(紅及綠)。若隨意抽出1枝原子筆及1枝螢光筆,求2枝筆的顏色不相同的概率。

Mark has 3 pens (red, blue and black) and 2 highlighters (red and green). If a pen and a highlighter are chosen randomly, find the probability of getting a pen and a highlighter of different colours.

a)

1/6

b)

3/5

c)

2/3

d)

5/6

6.

倩宜投擲2枚勻稱骰子。求2個所得點數之差小於1的概率。

Cindy throws 2 fair dice. Find the probability that the difference between the numbers is less than 1.

a)

0

b)

1/5

c)

1/6

d)

1/7

7.

某餐廳今天售出午餐P、Q及R共240份。售出的午餐P及Q的數量相同。若售出96份午餐R,求售出午餐P的實驗概率。

In a restaurant, a total of 240 set lunches P, Q and R are sold today. The numbers of set lunches P and Q being sold are the same. If the number of set lunch R being sold is 96, find the experimental probability of the number of set lunch P being sold.

a)

1/10

b)

3/20

c)

1/5

d)

3/10

8.

某農場中,一隻雞蛋損壞的實驗概率為0.08。若隨意挑選250隻雞蛋,求損壞的雞蛋數量的期望值。

In a farm, the experimental probability that an egg is rotten is 0.08. If 250 eggs are chosen at random, find the expected number of rotten eggs.

a)

8

b)

12

c)

20

d)

25

9.

某測驗有20條是非題。瑋賢隨意回答所有題目。答對可得2分,答錯則扣1分。瑋賢得分的期望值為

There are 20 true or false questions in a test. Matthew answers all the questions at random. 2 marks are awarded for each correct answer, while 1 mark is deducted for each wrong answer. Matthew’s expected score is

a)

5分/marks

b)

10分/marks

c)

15分/marks

d)

20分/marks

10.

考慮下列數據。Consider the following data set.

8 8 9 11 13

求數據的平均數。Find the mean of the above data.

a)

8

b)

9.8

c)

10

d)

10.6

11.

已知數據組3、-5、h、-4及9的平均數為3,則h =

The mean of the set of data 3, -5, h, -4 and 9 is 3. h =

a)

9

b)

10

c)

11

d)

12

12.

考慮下列數據。Consider the following data set.

-7 2 0 9 -5 3

求數據的中位數。Find the median of the above data.

a)

0

b)

1

c)

2

d)

3

13.

一組已按次序排列的數據:-13,-7,k,-4,2,3的中位數為 -5。k =

The median of the set of arranged data -13, -7, k, -4, 2, 3 is -5. k =

a)

-7

b)

-6

c)

-5

d)

-4

14.

考慮下列數據。Consider the following data set.

-4 14 -3 13 -4 -13

求數據的眾數。Find the mode of the above data.

a)

-4

b)

-3

c)

14

d)

13

15.

一直立圓錐的底半徑及斜高分別為

5 cm及13 cm。該圓錐的總表面面積為

The base radius and the slant height of a right circular cone are 5 cm and 13 cm respectively. The total surface area of the cone is

a)

85π cm2

b)

90π cm2

c)

100π cm2

d)

130π cm2

16.

一直立圓錐的底半徑及高分別為9 cm及13 cm。求該圓錐的體積,準確至最接近的cm3。

The base radius and the height of a right circular cone are 9 cm and 13 cm respectively. The volume of the cone, correct to the nearest cm3, is

a)

1103 cm3

b)

1593 cm3

c)

3308 cm3

d)

4778 cm3

17.

一直立圓錐的高及斜高分別為14 cm及19 cm。該圓錐的體積為

The height and the slant height of a right circular cone are 14 cm and 19 cm respectively. The volume of the cone is

a)

770π cm3

b)

1045 cm3

c)

2310π cm3

d)

3135π cm3

18.

一直立圓錐的底半徑及總表面面積分別為11 cm及374p cm2。求該圓錐的高,準確至最接近的0.1 cm。

The base radius and the total surface area of a right circular cone are 11 cm and 374p cm2 respectively. The height of the cone, correct to the nearest 0.1 cm, is

a)

19.7 cm

b)

20.2 cm

c)

21.2 cm

d)

23.0 cm

19.

一球體的直徑為17 cm。求該球體的體積,準確至最接近的cm3。

The diameter of a sphere is 17 cm. Its volume, correct to the nearest cm3, is

a)

643 cm2

b)

2572 cm2

c)

5145 cm2

d)

20580 cm2

20.

一球體的半徑為10.2 cm。該球體的表面面積為

The radius of a sphere is 10.2 cm. Its surface area is

a)

138.72π cm2

b)

416.16π cm2

c)

544.88π cm2

d)

1414.944π cm2