Chapter 7 Test: Coordinates and Graphs

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Coordinates, maps and networks – Practice Test
Multiple-choice questions
1 The point (6, 5):
A has an x-coordinate of 6 and a y-coordinate of 5
B has an x-coordinate of 5 and a y-coordinate of 6
C has x-coordinates 6 and 5
D has y-coordinates 6 and 5.
E has a y-coordinate of 6.
2 The coordinates of the points on the diagram below are:
y
A
E
5
4
3
2
D
B
1
C
x
O
1
2
3
4
5
A A(2, 5), B(1, 2), C(0, 2), D(1, 1), E(0, 5), O(0, 0)
B A(5, 2), B(2, 1), C(2, 0), D(1, 1), E(5, 0), O(0, 0)
C A(2, 5), B(2, 1), C(2, 0), D(1, 1), E(0, 5), O(0, 0)
D A(5, 2), B(1, 2), C(0, 2), D(1, 1), E(0, 5), O(0, 0)
E A(2, 5), B(2, 1), C(2, 0), D(1, 1), E(5, 0), O(0, 0)
1
Coordinates, maps and networks – Practice Test
3 The coordinates of the Town Hall are:
4
Town
Hall
3
Pope n’ Gnome
Hotel
Government
House
2
Wal’s Hwy
1
A
B
C
D
A (1, B)
B (C, 3)
C (C, 4)
D (3, 4)
E (A, 3)
4 If a shape is enlarged by a factor of 4 in both the x and y direction, the coordinate (2, 3)
becomes:
A (8, 12)
B (8, 9)
C (6, 6)
D (4, 6)
E (0.5, 12)
2
Coordinates, maps and networks – Practice Test
5 The bearing of A from O can be described as:
O
A
A 215° True
O
B 135° True
C 45° True
D S45°W
E 215° True
6 The direction shown can be described as:
N
W
A
O
220o
E
S
O
A S 50°W
B S 220°E
C N 220°S
D S 40°W
E W 40°S
7 If I travelled at a bearing of 080, the bearing for the return trip would be
A 100° True
B 80° True
C 240° True
D 300° True
E 260° True
3
Coordinates, maps and networks – Practice Test
8 List the three towns in descending order of their heights above sea level:
Rose
View
420
m
600
m
360
300
m
m Warra
A Warra, Rose, View
B Warra, View, Rose
C Rose, Warra, View
D Rose, View, Warra
E View, Rose, Warra
9 This network is traversable from:
A
B
D
C
A node B or C
B node A or B
C node A or C
D node B or D
E node A or D
4
Coordinates, maps and networks – Practice Test
10 Which of the following statements is not true?
P
Q
U
T
R
S
A Vertices P, Q and R are even.
B Vertices Q, R and T are even.
C Vertices P and U are odd.
D Vertices Q, R, S and T are even.
E Vertices R and T are even.
Short-answer questions
1 Draw the following shape on the grid below: A = (0, 0), B = (0, 2), C = (3, 3), D = (5, 0)
2 Plot the following points on a set of axes and join them in the order given.
(0, 0), (0, 1), (1, 1), (1, 2), (2, 2), (2, 3), (3, 3), (3, 4), (4, 4), (4, 5), (5, 5)
5
Coordinates, maps and networks – Practice Test
3 The map below shows streets and attractions in a small town.
4
Town
Hall
De Laveux
Collins Hwy
3
Library
2
HOWELL
OVAL
Milk bar
C.G Cricket
Club
MJ’s
Hotel
Dawson
Shopping
Centre
1
A
B
C
D
E
Give the coordinates of:
a the Town Hall
b MJ’s Hotel
c Howell Oval
d the milk bar
6
Coordinates, maps and networks – Practice Test
4 The map below shows the towns along the coast of a state. The side of each grid square on this
map represents 25 km.
8
Serenity
7
6
Sturt
5
Port
Reynolds
Jaynestowne
Coogan
4
3
Whedon
2
Gusmao
Brignell
Connolly
1
A
B
C
D
E
F
G
H
I
J
K
a Which cities have the following coordinates?
i
(J, 3)
ii (B, 5)
iii (L, 5)
iv (D, 1)
b What is the approximate distance between Brignell and Connolly as the crow flies?
5 On the grid provided, enlarge triangle ABC by a scale factor of 2.
7
L
Coordinates, maps and networks – Practice Test
6 Give the compass and true bearing of each of the following:
a
b
54o
57o
7 Add just one arc to make this network traversable from any node:
8 The table below gives the distance and bearing of particular journeys. Copy and complete this
table to show the distance and bearing on the return journey.
Journey
Return journey
Distance
Bearing
500 km
180°
280 km
60°
360 km
240°
Distance
Bearing
8
Coordinates, maps and networks – Practice Test
Extended-response questions
Use this contour map of an island to answer the following questions.
(NB – the heights given are in metres.)
a What is the height of the cliffs that border the island?
b What is the height of the lowest point on the island?
c Make an accurate drawing of the island’s profile from the west.
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Coordinates, maps and networks – Practice Test
Answers to Chapter 7 Test B
Answers to multiple-choice questions
1 A
2 C
3 E
4 A
5 B
6 D
7 E
8 E
9 D
10 A
Answers to short-answer questions
1
2
y
5
4
3
2
1
0
1
2
3
4
5 x
10
Coordinates, maps and networks – Practice Test
3 a (C, 4)
b (E, 1)
c (A, 2)
d (E, 2)
4 a i
Gusmao
ii Sturt
iii Coogan
iv Brignell
b 100 km (allow answers with a reasonable range of approximation)
5
6 a N54°W, 306°T
b S33°E, 147°T
7 Various answers possible, e.g.
8
Return journey
Distance
Bearing
500 km
0°
280 km
240°
360 km
60°
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Coordinates, maps and networks – Practice Test
Answers to extended-response questions
a 200 m
b 50 m
c
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