paper1 4statitics

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CHAPTER 4 ; STATISTICS II

OBJECTIVE QUESTIONS

Answer all the questions below:

1. The pie chart shows 400 people staying in different types of houses.

Determine the number of people staying in Double storyA 100 C 200B 150 D 220

ANSWER

Q1WORKING WORK (REASON)

TOPIC /LEVEL /MARKS /

A Total = Bungalow + Terrace+ Flat + Double Story360 = 90 + 115 + 105 + Double Story

Double Story = 360

- 310

= 50

50

360x 720 = 100 people.

STATISTICS

Difficult

Form 3

2. The pie chart shows the number of workers employed by a company.

110

India

Malay

Chinese

Calculate the angle of sector for India workers.A 90 C 110B 100 D 160


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ANSWER


TOPIC /LEVEL /

MARKS /

D

90 (right angle triangle)

360 - (110 + 90)= 160

110

160

India

Malay

Chinese

STATISTICS

EASY

Form 3

3. The pie chart shows grades obtained by a group of students in a Mathematics test.

Find the total angle of sector for students with grade A and B .

A 90 C 270B 150 D 360

ANSWER



STATISTICS


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C

360 - (120 + 90)= 150

Gred A + Gred B= 120 + 150 = 270

90 (right angle triangle)

Difficult

Form 3

4. The pie chart shows the different mode of transports used by the students to go toschool.

Car

Bus

56

Find the angle of sector for those going to school by Motorcycle.

A 90 C 270B 139 D 360

ANSWER


TOPIC /LEVEL /

MARKS /

B360 - (105 + 60 + 56)

= 360 - 221= 139

From the diagram :

STATISTICS

EASY

Form 3


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139

Car

Bus

56

5. The table shows the frequency marks collected in a competition.

Marks 1 2 3 4

Frequency 16 8 12 14

Find the mean marks.

A 2.33 C 2.52B 2.48 D 2.63

ANSWER


TOPIC /LEVEL /

MARKS /

BMean =

Sum of the marks

Total of frequency

=1(16) + 2(8) + 3(12) + 4(14)

16 + 8 + 12 + 14

= 12450

= 2.48

STATISTICS

Moderate

Form 3


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6. The table shows the number of students studying Form 1 to Form 5 in a school.

Form Number of students

1 400

2 3103 400

4 380

5 290

If the data is to be represented by a pie chart, find the angle of sector for those whoare studying Form 1 to Form 3.

A 224 C 164B 200 D 30

ANSWER



A Form 1 to 3 := 400 + 310 + 400= 1110

Total from form 1 to 5:= 1110 + 380 + 290= 1780

The angle of a sector :

=Total of form 1 to 3

Total from form 1 to 5x 360

=

1110

1780 x 360 = 224.5

STATISTICS

EASY

Form 3


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7. The pie chart shows the average annual expenses of a company.

15%Electricity

Rental

5%others

55%

Wagesforworker

Find the angle of sector excluding wages.

A 75 % C 55 %B 60 % D 45 %

ANSWER



D1 circle = 100%

100% - (%15% + 55% + 5%)

= 100% - 75%

= 25%

25%

15%Electricity

Rental

5%others

55%

Wagesfor worker

Angle without wages:

15% + 25% + 5% = 45%

STATISTICS

EASY

Form 3


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8. The pie chart shows the types of housesstayed by the population of a country.

Given that there are 3 million peoplestaying in flat, find the number ofpeople staying in double storey house.

A 2.4 million peopleB 3.28 million peopleC 4.8 million peopleD 8.4 million people

.

A C

B D

ANSWER

QWORKING WORK (REASON)


C

STATISTICS

EASY

Form 3


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9. The table shows the number ofstudents who visited the schoollibrary in a week.

If the data is to be represented by apie chart, find the angle of sectorfor the number of students whovisited the library on Thursday.

A 5.12B 40

C 45

D 88.61

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

10. If the mean weight for 25 students is 42 kg,determine the total weight for this group ofstudents.

A 25 kgB 42 kg


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C 1,050 kgD 2,542 kg

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

Chapter 4: Statistics

Paper 1

This test paper contains 20 questions. Answer ALL the questions.

The diagrams accompanying the questions are not drawn to scale unless mentioned.You are allowed to use a scientific calculator that cannot be programmed.

1 Diagram 1 is a pie chart which shows the scores of students in a Mathematics test.

DIAGRAM 1

What fraction of students obtained grade A?

A

BC

D E

8070

40110

60


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A2

1C

6

1

B3

1D

9

1

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

2 Table 1 shows the modes of transport used by 40 students in Form 1 Bestari.

Mode of transport Number of students

Car 5

Bicycle 20

Motorcycle 3

Walking 8

Public transport 4

TABLE 1

If the information was transferred to a pie chart, what would be the angle for the sectorrepresenting walking?A 45B63C 72

D 180

.

A C

B D

ANSWER


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C

STATISTICS

EASY

Form 3

3 Diagram 2 is a pie chart which shows the profits of five companies (in millions).

DIAGRAM 2

If CompanyA made a profit of RM1.5 million, what is the profit of CompanyB?A 3.3 million

B4.0 millionC 4.2 millionD 4.8 million

.

A C

B D

ANSWER

Q WORKING WORK (REASON) TOPIC /LEVEL /MARKS /

C

STATISTICS

EASY

ED

A

C

B

110

50


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Form 3

4 Diagram 3 is a pie chart which shows the number of fruits produced in three durianorchards,A, B and C2004.

DIAGRAM 3

The total number of fruits produced in the three orchards is 180 000. How many fruitscame from orchardA?A 20 000B30 000C 40 000D 60 000

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

B

180120

A C


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2 , 3 , 3 , 5 , 2 , 1 , 3 , 5 , 2 , 3

5 Diagram 4 is a pie chart which shows the popularity of various sports among 720students.

Hockey

Football100 120

30Volleyball

4070

BasketballTennis

DIAGRAM 4

Calculate the number of students who like volleyball.A 40B60C 80D 100

.

A C

B D

ANSWERQ

WORKING WORK (REASON)TOPIC /LEVEL /MARKS /

C

STATISTICS

EASY

Form 3

6 What is the mode for the data given below?

A 1B2C 3


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D 4

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

7 Table 2 shows the scores obtained in a game show.

Score 11-20 21-30 31-40 41-50

Frequency 20 7 x 25

TABLE 2

If the mode of the score is 41 50, what could be a possible value ofx?

A 22B26C 30D 34

.

A C

B D

ANSWER


C

STATISTICS

EASY


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Form 3

8 In an examination, 45 students obtained grades ranging from A to E, in which the modalgrade isD. Which of the following tables shows that result?A

A B C D E

15 5 20 2 3

B

A B C D E

13 2 5 17 8

C

A B C D E

8 11 12 9 5

D

A B C D E

10 9 13 2 11

9 In the set of numbers shown below, find suitable values forx andy so that 4 is the mode.

A 4,1 == yx

B 4,2 == yx

C 4,3 == yx

D 2,1 == yx

.

A C

B D

ANSWER



STATISTICS

3 , 1 , x , 2 , 3 , y , 4 , 1 , 4


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C EASY

Form 3

10 Determine the mean for the set of numbers given below.

A 10B12C 14D 16

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

11 The mean mass of Khairul, Lee and Kevin is 25 kg. If the total mass of Khairul and Kevinis 52 kg, what is the mass, in kg, of Lee?A 22B23C 24D 25

.

A C

B D

ANSWER


TOPIC /LEVEL /

11 , 10 , 12 , 15 , 22 , 14


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MARKS /

C

STATISTICS

EASY

Form 3

12 If the mean for the set of numbers given below is 6, what is the value ofy?

A 4B5C 6

D 7

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

13 Table 3 shows the number of goals scored by the Seladang United football team in eachgame they played.

No of goals 1 2 3 4 5

No of games 3 8 5 4 5

TABLE 3

5 , y , 7 , 8 , 6 , 7 , 5


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If the team played a total of 25 games, what is the mean goal scored per game?A 6B5C 4D 3

.

A C

B D

ANSWER



CSTATISTICS

EASY

Form 3

14 The mean age of Bobby, Kee and Harbinder is 45. Azman is 49 years old. What is themean age for the four of them?A 44B45

C 46D 47

.

A C

B D

ANSWER


TOPIC /LEVEL /

MARKS /

C

STATISTICS

EASY

Form 3


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15 The mean of five numbers is 10. After a sixth number,x is added to the group, the meanbecomes 12. What is the sixth number?A 20B22

C 24D 26

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

16 Given below is the heights of 5 students. What is the median height, in m?

A 1.48B1.50C 1.52D 1.60

.

A C

B D

ANSWER



STATISTICS

1.60 m , 1.50 m , 1.48 m , 1.52 m , 1.53 m


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CEASY

Form 3

17 Diagram 5 is a pie chart which shows the fractions of votes obtained by three candidates inan election.

Spoilt votesCandidateB

CandidateA Candidate C

DIAGRAM 5

What is the angle for the sector representing spoilt votes?A 105B110C 115D 120

.

A CB D

ANSWER



C

STATISTICS

EASY

Form 3

18 The mean for five numbers is 8 and the mean for another three numbers is 16. Calculate themean for all the eight numbers.A 9 C 11

3

1

4

1

8

1


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B10 D 12

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

19 Table 4 shows the scores obtained by students in a game.

Score 0 1 2 3 4

Number of students 1 3 x 1 8

TABLE 4

Find the value ofx if the median score is 3.A 2 C 4

B3 D 5.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3


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20 Table 5 shows the heights of students in a class.

Height(cm) Frequency

131 3

132 4133 5

134 3

135 1

TABLE 5

Determine the mean height, in cm, of the students.A 132.7 C 130.8B131.5 D 130.0

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

CHAPTER 4

Paper 1

1 D2 C3 A4 D5 B6 C7 A8 B9 B10 C


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11 B12 A13 D14 C15 B16 C

17 A18 C19 C20 A

yuk kwanMathematics - Examination

School year: 2004

Student Name: ______________Student ID: ______________Class: F.3Date: 4/4/2009Time allowed: 1 h

Part 1: Multiple Choice( marks)

1 Find the mean of 4, 7, 2, 0 and 6.A. 3.8

B. 4

C. 4.5

D. 4.75

.

A C

B D

ANSWER



STATISTICS


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C EASY

Form 3

2 John bought three pens in a stationery store. Their prices are $4.5, $8.6 and $14.8. Find the

mean cost of these three pens.

A. $7.8

B. $8.6

C. $9.3

D. $9.7

.

A CB D

ANSWER



C

STATISTICS

EASY

Form 3

3 If the mean of 1, 2 andx is 2, thenx =

A. 1.

B. 1.

C. 3.

D. 5.

.

A C

B D

ANSWER

Q TOPIC /


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WORKING WORK (REASON) LEVEL /MARKS /

C

STATISTICS

EASY

Form 3

4 The following table shows the test scores of a class.

Score 10 11 12 13 14 15

Number of students 7 5 3 10 4 16

Find the mean score of this class.

A. 11.74

B. 12.5

C. 13.04

D. 14.2

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

5 The following table shows the age distribution of a class.

Age 8 9 10 11 12 13 14 15


Find the mean age of this class.

A. 10.68


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B. 11.18

C. 11.5

D. 11.68

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

6 Find the median of 16, 29, 8, 9, 26 and 26.

A. 16

B. 19

C. 21

D. 26

.

A C

B D

ANSWER


TOPIC /LEVEL /

MARKS /

C

STATISTICS

EASY

Form 3


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7 The following table shows the test scores of a class.

Score 10 11 12 13 14 15

Number of students 8 5 14 2 15 1

Find the median score of this class.

A. 12

B. 12.5

C. 13

D. 13.5

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

8 Find the mode of 16, 7, 7, 10, 8, 16 and 7.

A. 7

B. 8

C. 10

D. 16

.

A C

B D

ANSWER


TOPIC /LEVEL /


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MARKS /

C

STATISTICS

EASY

Form 3

9 The following shows the distribution of the sizes of shirts ordered by a class.

Size 32 34 36 38 40

Frequency 4 11 15 16 5

Find the mode of the sizes of shirts.

A. 15

B. 16

C. 36

D. 38

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

10 A company interviewed 100 people about their monthly salaries. The results are shown inthe following table.

Salary ($) 1 5 000 5 001 10 000 10 001 15 000 15 001 20 000


Find the modal class of their salaries.

A. $11 300.5


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B. $12 500.5

C. $5 001 10 000

D. $10 001 15 000

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

11 If the mean of a1, a2, a3 and a4 is 9, then the mean of 2a1, 2a2, 2a3 and 2a4 is

A. 9.

B. 12.

C. 15.

D. 18.

.

A C

B D

ANSWER


TOPIC /LEVEL /

MARKS /

C

STATISTICS

EASY

Form 3


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12 Given that the median of four numbers is 10.5. If each number is increased by 9, find the

new median.

A. 9.75

B. 10.5C. 12.75

D. 19.5

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

13 Find the relationship of the magnitude between the mean, median and mode of 10, 20, 20,

70, 40, 55 and 30.

A. mode = median = mean

B. mode < median < mean

C. mean < median < mode

D. median < mode < mean

.

A CB D

ANSWER




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C

STATISTICS

EASY

Form 3

14 Find the weighted mean of the following data.

Data 4 11 15 22

Weight 6 2 9 3

A. 12

B. 12.35

C. 13

D. 13.35

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

15 The following table shows the scores of a student obtained in different parts of a test.

Find the test score of the student.

A. 58.2

Part I II III IV

Weight 20 35 30 15

Score 48 56 73 82


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B. 60.35

C. 63.4

D. 65.8

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

16 Which of the measures can best represent the data of 45, 52, 54, 59, 69 and 69?

(1) mode

(2) median

(3) mean

A. (2) only

B. (3) only

C. (1) and (2) only

D. (2) and (3) only

.

A C

B D

ANSWER



STATISTICS


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C EASY

Form 3

17 Find the mean ofa+ 2, a+ 3, a+ 4 and a+ 5.

A. a+ 3

B. a+ 3.5

C. a+ 4

D. a+ 4.5

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

18 If the mean of x,y andzis 16, then the mean ofx5,y+ 2 andz+ 4 is

A. 16.

B. 16.3.

C. 17.3.

D. 18.

.

A C

B D

ANSWER




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C

STATISTICS

EASY

Form 3

19

The mean number of newborn babies of each year is

A. 15 200.

B. 16 600.

C. 17 200.

D. 18 800.

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3


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20 The distribution of the number of candies that a group of children have is listed below.

Number ofcandies

0 1 2 3 4 5

Frequency 3 7 11 x 10 4

If the number of candies they have in average is 2.6, thenx=

A. 4.

B. 5.

C. 6.

D. 7.

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

21 If the median of 83, 104, 46, 92, 60 andx is 77, thenx=

A. 71.

B. 73.

C. 75.

D. 77.

.

A C

B D

ANSWER


TOPIC /LEVEL /


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MARKS /

C

STATISTICS

EASY

Form 3

22 The figure below shows the cumulative frequency polygon of living areas (in m2) of 30

families.

Find the median of the living areas.

A. 40 m2

B. 49.5 m2

C. 59.5 m2

D. 49.5 69.5 m2

.

A C

B D

ANSWER



STATISTICS


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CEASY

Form 3

23 If the median of 7, 18,x, 3, 6 andx is 10, find the mode.

A. 10

B. 11

C. 12

D. 13

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

24 The figure below shows the cumulative frequency polygon of living areas (in m2) of 30

families.


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Find the modal class of the living areas.A. 49.5 m2

B. 59.5 m2

C. 49.5 69.5 m2

D. 50 69 m2

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

25 Which of the following measures is/are not affected by extreme values?

(1) mean

(2) mode

(3) median


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27 Which of the following is incorrect?

A. The median of the sample may not be related to that of the population.

B. The mean is the best representation of a given set of data in any situations.C. The median is not affected by extreme values.

D. A set of data may have more than one mode.

.

A C

B D

ANSWER


C

STATISTICS

EASY

Form 3

28 The following table records the scores of a participant in different matches of acompetition.

Match I II III

Weight 3 1 5

Score 75 60 x

If the total score of the participant is 65, findx.

A. 47

B. 58

C. 60

D. 67

.

A C

B D


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ANSWER



C

STATISTICS

EASY

Form 3

29 The following table shows the test scores of Simon in different papers of Chinese.

Paper I II III

Score 68 76 70

Weight 1 30 40 30

Weight 2 40 35 25

Find the difference in the final scores by using the two different sets of weights.

A. 0.5

B. 5.2

C. 9.7

D. 14.1

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

30 A particular consumer price index is measured by five categories with the value of 2000 as

the base 100. The following table shows the weight, price and amount of consumption of


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each category in 2000 and 2002.

CategoryPrice ($/kg) Consumption (kg)

2000 2002 2000 2002

I 41 40 16 23

II 56 51 29 32III 39 42 48 42

IV 11 15 20 18

V 32 29 31 32

Find the consumer price index in 2002.

A. 95.3

B. 98.5

C. 102.8

D. 103.7

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

31 Given the mean ofa, b and c is 12 and the mean ofx andy is 27, find the mean ofa, b, c,x

andy.

A. 16

B. 17.5

C. 18

D. 19.5

.

A C


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B D

ANSWER


TOPIC /LEVEL /

MARKS /

C

STATISTICS

EASY

Form 3

32 75 runners participated in a marathon race with the ratio of male to female is 3 : 2. Each

male participant completed the race in 9 min in average while each female participantcompleted the race in 12 min in average. Find the mean completion time of the 75 runners.

A. 9.6 min

B. 10.2 min

C. 10.5 min

D. 11.1 min

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

33 The mean of a set of data is 10. If a new number 24 is added, the mean becomes 12. How

many numbers are there in the original set of data?

A. 6


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B. 8

C. 10

D. 12

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

34 The following table shows the time distribution of a class of students spent on the Internet

every day.

Time spent onInternet (hours)

0.1 1 1.1 2 2.1 3 3.1 4

Frequency 11 19 x 2

If the mean of the time spent on the Internet every day of each student is 1.55 hours, findx.

A. 6

B. 7

C. 8

D. 9

.

A C

B D

ANSWER



STATISTICS


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CEASY

Form 3

35 The distribution of the heights of students is listed below.

Height (cm) 150 154 155 159 160 164 165 169 170 174

Frequency 1 13 6 10 12

In which class does the median of the heights of students appear?

A. 155 159 cm

B. 160 164 cm

C. 165 169 cm

D. 170 174 cm

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

36 The following table shows the age distribution of a class of students.

Age 8 9 10 11 12 13 14 15


Find the median age.

A. 8.5

B. 10.5

C. 11.5

D. 12.5


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.

A C

B D

ANSWERQ

WORKING WORK (REASON)TOPIC /LEVEL /MARKS /

C

STATISTICS

EASY

Form 3

37 Which of the following can be measured by a bar chart?

(1) mode

(2) median

(3) mean

A. (1) only

B. (3) only

C. (1) and (2) only

D. (1), (2) and (3)

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3


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38 If the median ofa, b, c, dand e isp, then the median ofa, b, c, d, e andp is

A. b.

B. d.

C. p.

D.2

dc + .

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

39 A group of seven students have joined a test. Given that the scores of the students are

different. If one of the students knows his score and wants to guess whether he could enter

the first three ranks, which information about the scores should he know?

A. median

B. mean

C. maximum score

D. minimum score

.

A C

B D

ANSWER




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C

STATISTICS

EASY

Form 3

40 The following table shows the scores of a student obtained in different papers of a test.

Paper I II III

Score x 85 50

Weight 25 10 y

Given that the test score of the student is 62 and the sum of scores and weights of the

papers is 245, find the value ofx.

A. 15

B. 45

C. 60

D. 75

.

A C

B D

ANSWER



C

STATISTICS

EASY

Form 3

End


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Answer

Part 1: Multiple Choice(Answer)

1 A

2 C

3 D

4 C

5 B

6 C

7 A

8 A

9 D

10 D

11 D

12 D

13 B

14 B

15 C

16 D

17 B

18 B

19 C

20 B

21 A


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22 C

23 D

24 D

25 C

26 D

27 B

28 C

29 A

30 C

31 C

32 B

33 A

34 B

35 C

36 C

37 D

38 C

39 A

40 C


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1. The pie chart shows 360 people staying in

different types of houses.

Determine the number of people staying inflat.

A 105B 120C 135D 235

2. The pie chart shows the number of workers

employed by a company.

Calculate the angle of sector for Indianworkers.

A 90

B 100

C 110

D 120

Mathematics

Test 1 08 December 2007

Class : Marks :

Instruction:Answerallquestions. Every question has four possible answers labelledA, B, CandD. Choose only one answ

each question.


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3. The pie chart shows grades obtained by a

group of students in a Science test.

Determine the angle of sector for studentswith grade B.

A 90

B 100

C 120

D 150

4. The pie chart shows the different mode of

transport used by the student to go to school.

Find the angle of sector for those going toschool by bicycle.

A 9

B 39

C 99

D 139

5. The table shows the frequency marks

collected in a competition.

Find the mean marks.

A 2.33B 2.42C 2.52D 2.63

6. The mode for 2, 3, 2, 4, 1, 3, 4, 0, 4 is


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A 2B 3C 4D 3 and 4

7. In a set of value 2, 2, 4, 4, 5, 8, 8, x, 5, themode is 4. Find the value of x.

A 2B 4C 5D 8

8. The table shows the score obtained by a group

of players in a game.

Find the mode.

A 7B 8C 9D 10

9. The table shows the score of 20 players in a

game.

Find the median.

A 0B 1C 2D 3

10. The mean for the number 2, 3, 1+x, 2, x is 4.Find the value of x.

A 2B 3C 4D 6


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11. The table shows the frequency score of a

game.

Find the mean score.

A 2B 2.5C 3D 5

12. The table shows the frequency score of a quiz

competition.

The mean mark is

A 2B 2.5C 4D 7

13. The median for 3, 4, 7, 3, 8 is

A 3B 4C 7D 8

14. The difference between the mode and themedian for a set of value of 5, 7, 9, 5 and 6 is

A 0B 0.4C 1D 1.4

15. Find the median for the numbers 12, 13, 14,15, 10, 12, 14 and 20.

A 12 and 14B 13C 13.5D 20


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16. Find the mean for 2, 2, 5, 3, 3, 7, 7, 7, 9, 9, 9,9.

A 5B 6C 7D 9

17. The table shows the frequency of the score in

a competition.

What is the mode of the score?

A 1B 2C 3D 1 and 2

18. Find the difference between the median andthe mode for 5, 5, 7, 7, 7, 7, 9, 9.

A 0B 5C 7

D 9

19. The marks scored by 6 students in anexamination is 60, 55, 45, 75, 70, 45. Find themode.

A 45B 45 and 55C 55D 75


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20. The table shows the number of students

studying Form 1 to Form 5 in a school.

If the data is to be represented by a pie chart,find the angle of sector for those who arestudying Form 1 to Form 3.

A 30

B 164

C 240D 284

21. The pie chart shows the average annual

expenses of a company.

Find the angle of sector excluding wages.

A 45 %B 55 %C 60 %D 75 %


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22. The pie chart shows the types of houses stayed

by the population of a country.

Given that there are 3 million people stayingin flat, find the number of people staying indouble storey house.

A 2.4 million peopleB 3.28 million peopleC 4.8 million people

D 8.4 million people

23. The table shows the number of students who

visited the school library in a week.

If the data is to be represented by a pie chart,find the angle of sector for the number ofstudents who visited the library on Thursday.

A 5.12

B 40

C 45

D 88.61

24. If the mean weight for 25 students is 42 kg,determine the total weight for this group ofstudents.

A 25 kgB 42 kgC 1,050 kg


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D 2,542 kg

25. In a competition, the score list after 9 roundsis 75, 75, 85, 80, 80, 80, 85, 80, 90. If thecompetitor would wish to score above 82,what should be his minimum score for the lastround?

A 70B 80C 85D 90

26. From the table, given that the mode is 3.

Find the possible value of x.

A 2B 3C 4D 5

27. In a competition, the marks scored by one ofthe participants is as follows :

Find the difference between the mean markand the median mark.

A 0B 0.8C 2.3D 6.7

28. Find the difference between the median andmean from 2, 2, 1, 0, 3, 4, 4, 4, 1, 3.

A 0.1B 0.4C 0.6D 1


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29. The marks obtained by 6 students in a test are8, 7, 9, 7, 0 and 9. Find the mean for thestudents who get at least a mark.

A 0B 7C 8D 9

30. The mean of a set of numbers of 3, x, x, 8 and5 is 10. x is

A 12B 17C 22D 23

31. The table shows the frequency score of a

class.

The mean mark is

A 7B 7.5

C 7.65D 8

32. The table shows the size of shoe wore by a

group of participants.

The median size is

A 6B 7C 8D 9


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33. Given x as the median for 7, 1, 11, 4, x, x.Choose the best value for x.

A 2B 3C 5D 8

34. The table shows the result of a survey which

was conducted to find out the number of

siblings of a group of students.

Find how many students have more than 1sibling.

A 15B 16C 20D 35

35. The table shows the result of a survey to find

out the number of siblings of a group of

students.

Find the percentage of students who havemore than 2 sibling.

A 8.88 %B 55.55 %C 77.78 %D 79.78 %

36. Find the difference between the mode andmedian for 15, 25, 17, 17, 7, 7, 19, 19, 19, 21.

A 0B 1C 7D 12


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37. In a school mathematics competition, 30students scored 70 marks, 80 students scored85 marks and 20 students scored 100 marks.Find the mean mark.

A 70B 83.85C 85D 100

38. Find the mean of the following set of data.1 hr 10 min, 1 hr 20 min, 1 hr 30 min, 2 hr 20min, 1 hr 10 min, 2 hr 30 min.

A 1 hr 10 minB 1 hr 20 minC 1 hr 30 minD 1 hr 40 min

39. The pie chart shows the type of drinks

preferred by 60 students.

How many students prefer drinking water?

A 9B 12C 15D 24

40. The pie chart shows the sales turnover of four

different companies.

Given that company P has a turnover of RM 1million, find the turnover of company Q.


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A RM 1 millionB RM 2 millionC RM 4 millionD RM 8 million

41. The table shows the result of a survey to find

out the hobbies of a group of students.

If the data is to be represented by a pie chart,

find the difference in angle of sector betweenstudents whose hobby is watching TV andstudents whose hobby is reading.

A 30

B 45

C 60

D 75

42. The pie chart shows the annual revenue of RM

10 million generated by a company from

different sources of income.

Given that to generate every ringgit ofrevenue, the company have to spend 30 sen.Calculate the expenses required to generate

oversea revenue .

A RM 600 000B RM 750 000C RM 900 000D RM 1 500 000


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43. The mean height of 5 students is 166 cm. Ifone of them whose height is 170 cm isremoved from the group, find the new meanheight.

A 110 cmB 132 cmC 165 cmD 166 cm

44. The mean for 8 numbers is 18. If a numberwith value 9 is added to the group, find thenew mean.

A 8B 17C 18D 27

45. The sale for the last week in the month ofAugust for a bicycle shop is 66 bicycles. Themean sale for the whole month is 44 bicycles.Count the total sales for the first 3 weeks inthat month.

A 44 bicyclesB 66 bicyclesC 110 bicycles

D 176 bicycles


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Objective Answer

No Answer No Answer1 A 26 D2 B 27 B3 D 28 A4 C 29 C5 C 30 B6 C 31 C7 B 32 B8 C 33 C9 B 34 D10 D 35 C11 B 36 B12 B 37 B13 B 38 D14 C 39 D15 C 40 C16 B 41 A17 A 42 D18 A 43 C19 A 44 B


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20 C 45 C21 A 4622 C 4723 C 4824 C 49

25 D 50

1. Which of the following data can be obtainedby measuring?

A The number of houses in an area.B The number of people in a building.C The number of students in a class.D The height of every student in a class.

2. The following data can be obtained bycounting except

A the number of customers in a hypermarket.B the number of booths in an exhibition hall.C the amount of rainfall in a town in the

month of January.D the number of participants in a hunting

expedition.

3. The following data can be obtained bymeasuring except

A the amount of heat emitted by a star in agalaxy.

B the number of projects handled by ainfrastructure company.

C the amount of electricity used by a factoryin the month of November.

D the temperature movement of a patient forthe last 24 hours.

Mathematics

Test 1 08 December 2007

Class : Marks :

Instruction:Answerallquestions. Every question has four possible answers labelledA, B, CandD. Choose only one answ

each question.


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4. The following data can be obtained bymeasuring except

A the amount of heat absorbed by a blackbody.

B the amount of electricity consumed by aelectrical appliance.C the amount of water used by a factory in

the month of October.D the daily attendance of workers of a

factory.

5. The following data can be obtained bycounting except

A the amount of water in a swimming pool.B the number of football fields in a town.C the number of students in a school.D the number of employees in a company.

6.

The above line graph shows the amount ofrainfall in Kuala Lumpur for 6 months. Inwhich month Kuala Lumpur has lowestrainfall?

A JanuaryB FebuaryC MarchD April

7. 47,4,4,3,2,7,5,4,2,

The above shows a data consists of numbers.The frequency for number 2 is

A 1B 2C 3D 4


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8.

The above data shows the number ofcustomers who visited a shop per minute

interval during a 20 minute period. State thefrequency when 5 customers visited in aminutes.

A 3B 4C 5D 6

9. Day Mon Tue Wed Thu FriNumber Of

Periods11 y 9 10 8

The above table shows the number ofperiods a student has to attend in a schoolfrom Monday to Friday. If there arealtogether 48 periods, find the value of x.

A 10B 12C 13D 15

10. Day Mon Tue Wed Thu Fri

Number OfPeriods

11 y 9 10 8

The above table shows the number ofperiods a student has to attend in a schoolfrom Monday to Friday. Given that thetotal periods on Thursday is 20% of thetotal periods of the week, find the value ofy.

A 10B 12

C 13D 15


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11. Marks Frequency

120 02140 24160 36180 12

81

100 3

The above table shows the marks scored inan online driving license test. Given thatscoring less than 61 marks will have to resitthe test. Find the percentage of candidateswho have to resit.

A 10%B 15%C 20%

D 25%12. Marks Frequency

120 22140 124160 136180 1881100 5

The above table shows the marks scored inan online driving license test. Given thatscoring more than 81 marks is categorisedinto "Good" grade, find the percentage ofcandidates who obtained "Good" grade inthe test.

A 10%B 30%C 40%D 55%

13.

The above data shows the marks scored byevery students of class Maju. Find the totalnumber of students in the class.

A 33


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B 35C 40D 44

14.

The above data shows the marks scored byevery students of class Maju in a Mathematicsexamination. Given that the passing mark is50, find the percentage of students who failthe test.

A 10%B 12.5%

C 15%D 20%

15. Distance Tally

within 1km1 km 3 km3 km 7 km7 km 10 km

The above table shows the distance fromschool to houses of 50 students. Studentswho stay more than km7 away from

school is getting free transportation. Whatis the percentage of students who have togo to school with their own transport?

A 34%B 40%C 60%D 86%

16. Hobby Frequency

Reading 18Cycling 4

Fishing 8Sports 20

The above table shows the hobby of 50students. What is the percentage of studentswhose hobby is sports?

A 16%B 24%


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C 40%D 56%

17. Hobby Frequency

Reading 18Cycling 4Fishing 8Sports 20

The above table shows the hobby of 50students. What is the percentage of studentswhose hobbies are reading and fishing?

A 32%B 52%C 56%D 60%

18. Number Of Hours Frequency1 22 53 184 25

The above table shows the number of hoursstudents spend on their homework eachday. What is the percentage of studentsspending less than 2 hours for theirhomework each day?

A 4%B 14%C 36%D 50%

19. Number Of Hours Frequency

1 22 53 184 25

The above table shows the number of hours

students spend on their homework eachday. What is the percentage of studentsspending 3 hours and above for theirhomework each day?

A 10%B 14%C 50%


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D 86%

20. Number Of Hours Frequency

1 22 53 184 25

The above table shows the number of hoursstudents spend on their homework eachday. What is the percentage of studentsspending 3 hours each day for theirhomework?

A 15%B 20%C 36%D 50%

21. BEAUTY AND THE BEAST

The frequency of the alphabet E in the abovephrase is

A 1B 2C 3D 4

22. Selangor $ $ $ $ $ $

Pahang $ $ $ $Sarawak $ $ $ $ $

$ represents 000RM2

The above pictogram shows the salesturnover in three states for the month ofNovember for company X. Calculate thedifference of sales in the state of Selangorand Pahang.

A RM4 000

B RM8 000C RM12 000D RM16 000


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23. Selangor $ $ $ $ $ $Pahang $ $ $ $Sarawak $ $ $ $ $

$ represents 000RM2

The above pictogram shows the salesturnover in three states for the month ofNovember for company X. Which of thefollowing statements is not true?

A The total sales in three states is00030RM .

B Sales in Sarawak is 0002RM more than

sales in Pahang.C Sales in Pahang is 0004RM more than

sales in Selangor.

D The total sales in the state of Selangor andPahang is 00020RM .

24. 200020012002

represents 100 apples

The above pictogram shows the number ofapples sold by a supermarket from year2000 to 2002. Calculate the percentage ofincrease in number of apples sold in 2002compare with 2001.

A 25%B 50%C 75%D 100%

25. 200020012002

represents 100 apples

The above pictogram shows the number ofapples sold by a supermarket from year2000 to 2002. Calculate the percentage ofdecrease in number of apples sold in 2001compare with 2000.

A 30%


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B 60%C 150%D 600%

26. JunJulyAugust

represents 10 cars

The above pictogram shows the number ofcars sold by a dealer from the month of Jununtil August. Calculate the percentage ofincrease in number of cars sold in themonth of August compare with the monthof Jun.

A 50%B 60%C 100%D 200%

27. JunJulyAugust

represents 10 cars

The above pictogram shows the number ofcars sold by a dealer from the month of Jun

until August. Calculate the percentage ofincrease in number of cars sold in themonth of August compare with the monthof July.

A 50%B 60%C 100%D 200%

28. Jun

JulyAugust

represents 10 cars


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The above pictogram shows the number ofcars sold by a dealer from the month of Jununtil August. Calculate the percentage ofdecrease in number of cars sold in themonth of July compare with the month of

Jun.

A 20%B 50%C 100%D 150%

29.

The above bar chart shows the number ofschools in area P, Q and R. How manyschools are there in that 3 areas?

A 80B 85C 95D 100

30.

The above bar chart shows the number ofstudents in schools A, B and C. Find the

difference in the number of students in schoolA compare to the total number of students inschool B and school C.

A 1 100B 1 200C 1 300D 1 500


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31.

The above bar chart shows the number ofstudents in schools A, B and C. Find thedifference in the number of students in schoolA compare to school C.

A 750B 450

C 300D 100

32.

The above bar chart shows the number ofcustomers in supermarket S, T and U during aholiday. Calculate the total number ofcustomers in the 3 supremarkets.

A 3 250B 3 500C 3 750D 4 000

33.


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The above line graph shows the amount ofrainfall in Kuala Lumpur for 6 months. Whatis the average rainfall in Kuala Lumpur forthat 6 months?

A 37.5 mmB 38.5 mmC 39.5 mmD 40.5 mm

34.

The above line graph shows the number ofpacket drinks sold daily from Monday toFriday. If the cost of a packet drink isRM1.50, find the sales revenue on Tuesday

and Thursday.

A RM 450B RM 525C RM 562.50

D RM 600

35.

The above line graph shows the number ofpacket drinks sold daily from Monday toFriday. On which day the seller enjoys highestsales revenue?

A TuesdayB WednesdayC ThursdayD Friday


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36.

The above line graph shows the number ofvisitors coming to Pulau Langkawi from Aprilto July. Which month has the most number ofvisitors?

A AprilB MayC JuneD July

37.

The above line graph shows the number ofvisitors coming to Pulau Langkawi from Aprilto July. Which month has the least number ofvisitors?

A AprilB MayC JuneD July

38.

The above line graph shows the number ofvisitors coming to Pulau Langkawi from Aprilto July. Find the average monthly visitors forthe 4 months.

A 100


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B 200C 237.5D 250

39. Income/Month Frequency

< RM 1000 8RM1000 RM 2000 5RM2000 RM 3000 4RM3000 RM 4000 3RM4000 RM 5000 3

> RM 5000 2The above table shows the monthly incomeearned by the employees of company X.What is the percentage of employeesearning more than 0004RM a month?

A 20%B 32%C 40%D 50%

40. Income/Month Frequency

< RM 1000 8RM1000 RM 2000 5RM2000 RM 3000 4RM3000 RM 4000 3RM4000 RM 5000 3

> RM 5000 2

The above table shows the monthly incomeearned by the employees of company X.What is the percentage of the employeesearning a monthly income of more than

0001RM but less than 0005RM ?

A 40%B 45%C 50%D 60%

41. Price(RM) 2 4 6 8 10Frequency 6 5 4 y 3

The above table shows prices of items soldin a shop. Given that there are 10% of theitems selling at RM8, find the percentageof the items that is selling at more thanRM5.


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A 40%B 45%C 55%D 60%

42. Price(RM) 2 4 6 8 10Frequency 6 5 4 y 3

The above table shows prices of items soldin a shop. If there are 20% of the itemsselling at RM2, find the percentage of theitems that is selling at more than RM6.

A 30%B 45%C 50%D 70%

43.

The above data shows the marks scored byevery students of class Maju in a Mathematicsexamination. Given that those who score 90marks and above will be rewarded, find thepercentage of students who fall into thiscategory.

A 10%B 12.5%C 15%D 20%

44. Distance Tally

within 1km1 km 3 km3 km 7 km7 km 10 km

The above table shows the distance from

school to houses of 50 students. Studentswho stay more than km7 away fromschool is getting free transportation. Whatis the formula to calculate the percentage ofstudents who are entitled to this service?


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A%100

50

7

B%100

50

12

C

%10050

13

D%100

50

19

45. Number of sisters Tally

12345

The above table shows the number of

sisters of 50 students in a class. What is thepercentage of students who has 5 sisters?

A 4%B 16%C 20%D 26%

46. Number of siblings Tally

12

345

The above table shows the number ofsisters of 50 students in a class. Given thata student is exempted from paying anycomputer fees if there are 4 and abovesiblings in the family, find the percentageof students that do not need to pay.

A 4%

B 16%C 20%D 24%


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47. MondayTuesday

Wednesday

represents y kg

The above pictogram shows the number ofkilograms of vegetable produced by afarmer in 3 days. Given that the totalweight of the vegetable produced is

kg,4500 find the value of y.

A 350B 500C 650D 800

48.MondayTuesday

Wednesday

represents y kg

The above pictogram shows the number ofkilograms of vegetable produced by afarmer in 3 days. Given that the totalweight of the vegetable produced in the 3

days is kg,1008 find the total weight of

vegetable produced on Tuesday.

A 900B 1 800C 2 700D 3 600

49.


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The above bar chart shows the number ofstudents who studied in universities andcolleges after STPM from 2000 to 2002. Findthe ratio of the number of students in

universities to the number of students incolleges for the 3 years.

A 10:9

B 1:9

C 4:5

D 10:9

50.

The above bar chart shows the number ofstudents who studied in universities andcolleges after STPM from 2000 to 2002. Findthe percentage of increase of the number ofstudents in colleges in year 2002 compare

with year 2000.

A 20%B 50%C 75%D 100%

51.


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The above bar chart shows the number ofstudents who studied in universities andcolleges after STPM from 2000 to 2002. Findthe percentage of decrease of the number of

students in universities in year 2002 comparewith year 2001.

A 20%B 50%C 75%D 100%

52.

The above multiple bar chart shows thenumber of computers sold by two dealers in 3months. Find the difference in the number ofcars sold between dealer X and dealer Y.

A 10B 15C 25D 30

53.

The above multiple bar chart shows thenumber of computers sold by two dealers in 3months. Given that the cost of a computer is

2000,RM find the total sales in 3 months.


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A 140 000B 170 000C 280 000D 310 000

54.

The above line graph shows the profit of

company P and company Q from 1996 to2000. On which year is the profit of companyQ higher than that of company P?

A 1996B 1997C 1998D 1999

55.

The above line graph shows the profit ofcompany P and company Q from 1996 to2000. Find the difference of profit of company

P and company Q in year 2000.

A RM 10 millionB RM 20 millionC RM 30 millionD RM 40 million


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Objective Answer

No Answer No Answer No Answer1 D 26 A 51 B2 C 27 D 52 B3 B 28 B 53 D4 D 29 C 54 A5 A 30 D 55 C6 B 31 C 567 B 32 C 578 D 33 A 589 A 34 B 5910 B 35 D 6011 D 36 D 6112 A 37 B 6213 C 38 C 6314 B 39 A 6415 D 40 D 6516 C 41 B 6617 B 42 C 6718 A 43 C 6819 D 44 A 6920 C 45 A 7021 C 46 D 7122 A 47 B 7223 C 48 C 7324 D 49 A 7425 B 50 D 75


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