Tak Sun Secondary School
F.1 Contemporary Studies
Problem set 4 for remedial class 10-11
Topic: Scale and measuring distance
Suggested Solution
Full Mark: 60 marks
Instruction: On top of finishing the questions listed below, you are required to look
up your dictionary and write down the Chinese meaning in blankets for highlighted
words.
A.
Fill-in-the-blanks
(15 marks)
Fill in the blanks in the following table
(15 marks)
Statement
Scale
Representative
Fraction
Linear Scale
1
1 cm to 100m
1: 10,000
___________________
2
1 cm to 800m
1 : 80,000
___________________
3
1 cm to 6 km
1 : 600,000
___________________
4
1 cm to 10 m
1: 1,000
___________________
5
1 cm to 0.5 m
1 : 50
___________________
6
1 cm to 50 km
1 : 5,000,000
___________________
7
1 cm to 150 km
1 : 15,000,000
___________________
(1 mark for 1 blank)
B.
Short questions and Data-based questions
(35 marks)
1. (a)
(b)
Linear scale is used.
(2)
(i)
Straight-line distance between Hong Kong and Beijing
2.2 cm (±0.2cm) X 800 km
= 1,760km (± 160 km)
(2)
(ii)
Straight-line distance between Shanghai and Kuala Lumpur
3.8 cm (±0.2cm) X 800 km
= 3,040km (± 160 km)
(2)
(iii)
Straight-line distance between Tokyo and Jakarta
6.2 cm (±0.2cm) X 800 km
= 4,960km (± 160 km)
(2)
2. (a)
(b)
(c)
(d)
R.F.
R.F.
R.F.
R.F.
3.
1 : 50,000
1: 500,000
1 : 5,000
1 : 1,000,000
(2)
(2)
(2)
(2)
There are three types of scale, namely, statement scale, representative
fraction & linear scale.
4.
(3)
A large-scale map covers a smaller area and things are shown more clearly while
a small-scale map covers a larger area and things are shown less clearly. (4)
5. (a)
(b)
1 cm. to 150 m
(2)
(i) Straight-line distance between church and police station
=
1.3 cm (±0.2cm) X 150 m
225 m (± 30m)
(2)
(ii) Straight-line distance between police station and hospital
=
2.6 cm (±0.2cm) X 150 m
390 m (± 30m)
(2)
(iii) Straight-line distance between police station and hospital
=
6. (a)
2.4 cm (±0.2cm) X 150 m
360 m (± 30m)
(2)
Straight-line distance between Singapore and Bangkok
2.5 cm (±0.2cm) X 600 km
= 1,500 km (± 120 km)
(2)
(b)
C.
Straight-line distance between Taipei and Manila
2.1 cm (±0.2cm) X 600 km
= 1,260 km (± 120 km)
Multiple Choice questions
(2)
(10 marks)
1. C
2. A
3. C
4. C
5. C
6. A
7. C
8. C
9. D
10. D
(b)
Calculate the straight-line distance ( _______________) between the following
cities.
(i)
Beijing and the Hong Kong SAR
(ii)
Shanghai and Kuala Lumpur ( __________)
(iii) Tokyo (___________) and Jakarta (_____________)
(6 marks)
2
Change (_________) the following statement scale into representative scale (R.F)
and linear scale respectively (____________).
(a)
(b)
(c)
(d)
1 cm to 500m
1 cm to 5 km
1 cm to 50m
1 cm to 10 km
(2 marks)
(2 marks)
(2 marks)
(2 marks)
3.
Identify (____________) THREE types of scale of a map.
(3 marks)
4.
Compare ( _________) the difference (______________)between small-scale
map ( _____________) and large scale map ( ________________).
(4 marks)
5.
Study (_________) the map below and answer the following ( ________)
questions.
(a) Change ( _________) the linear scale in the map into a statement scale.
(2 marks)
(b) Measure (___________) the straight line distance ( _____________)
between
(i) church and police station
(ii) police station and hospital
(iii) hospital and church
(6 marks)
6.
Study the map below and answer the following questions.
Measure the straight line distance ( ______________) between
(a) Singapore (_____________) and Bangkok (_______________)
(b) Taipei (____________) and Manila (_____________________)
(4 marks)
C. Multiple choice questions
1. What is the R.F. of a map if its statement scale is 1cm to 200m?
A. 1:200
B. 1:2 000
C. 1:20 000
D. 1:200 000
2. What is the statement scale of a map if its R.F. is 1:4 000?
A. 1cm to 40m
B. 1cm to 400m
C. 1cm to 4 000m
D. 1cm to 4km
(10 marks)
Ans: ____
Ans: ____
3.
The actual length ( __________) of a park is 2 km, whereas its length on the
map is 50cm. What is the scale of the map?
A.
B.
C.
D.
1:2 000
1:2 500
1:4 000
1:10 000
4.
A.
B.
C.
D.
1cm : 100 m is equal to
1:100
1:1 000
1:10 000
1:100 000
Ans: ____
Ans: ____
5.
A.
B.
C.
D.
1:5 000 000 is equal to
1 cm : 500 m
1 cm : 5 000 m
1 cm : 50 km
1 cm : 500 km
Ans: ____
6.
Which of the following is/are equal to 1:800 000?
i.
1cm to 8km
ii.
1cm to 80km
iii. 0
2
4
6
8
km
A.
B.
C.
D.
i only
ii only
i and iii
ii and iii
7.
A.
B.
C.
D.
Choose the one that is different (___________) from the others.
1:700
1cm to 7m
1cm to 70m
8.
If the scale of a map is very small, it
A.
B.
C.
D.
is very small and can be put into pocket ( __________).
shows more details ( ____________) of the districts.
covers a very large area on a small piece of paper.
is more colourful.
0
7
Ans: ____
14
21
28
m
Ans: ____
Ans: ____
9.
A.
B.
C.
D.
The distance between two points on a map is 4.5 cm and the scale of the map is
1:300 000. Calculate ( ___________) the actual distance between these two
points.
135 m
135 km
135 cm
13.5 km
Ans: ____
10. Change the statement scale “1 cm represents 2 500 m” into representative
fraction.
A. 1:25 000
B. 2:40 000
C. 5:500 000
D. 1:250 000
Ans: ____
THE END