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Maths Quest 9 for New South Wales 5.3 pathway
Chapter 3 Geometry Test B
Geometry Test B
Name: ___________________________
Section A Multiple Choice
1
The value of the pronumeral x is:
A
B
C
D
2
3
4
The value of the pronumeral y is:
100°
90°
80°
20°
A quadrilateral with only opposite sides
equal in length is called a:
A square
B rectangle
C kite
D rhombus
A
B
C
D
5
45°
95°
110°
205°
The value of the pronumeral m is:
The value of the pronumeral x is:
A
B
C
D
A
B
C
D
20°
30°
50°
60°
1
6
70°
90°
110°
125°
The value of the pronumeral t is:
A
B
C
D
83°
97°
103°
277°
Maths Quest 9 for New South Wales 5.3 pathway
7
The value of the angle which is
complementary to 27° is:
A
72°
B
63°
C
153°
D
163°
8
The value of the angle, a, in the figure
below is:
Chapter 3 Geometry Test B
11
The value of x in the figure shown is:
A
B
C
D
A
B
C
D
9
10
111°
69°
79°
89°
The size of each of the interior angles of
a regular pentagon is:
A
108°
B
180°
C
540°
D
900°
The value of the angle, a, in the figure
below is:
A
B
C
D
28°
62°
118°
59°
48
54
102
126
12
Has how many star polygons does a
regular hexagon have?
A 1
B 2
C 3
D 8
13
In which one of the following shapes do
the diagonals always form four
congruent triangles?
A Square
B Rectangle
C Trapezium
D Parallelogram.
2
Maths Quest 9 for New South Wales 5.3 pathway
14
In the diagram, if a  b  160 , then x
equals:
A
B
C
D
70
110
200
290
Chapter 3 Geometry Test B
15
The corresponding angle to c is:
A
B
C
D
a
f
g
h
3
Maths Quest 9 for New South Wales 5.3 pathway
Chapter 3 Geometry Test B
Geometry Test B
4
Name: ___________________________
Section B Short/Extended answer
1
Find the value of the pronumeral (answer to
nearest whole degree).
(a)
(b)
(c)
6
Maths Quest 9 for New South Wales 5.3 pathway
2
Chapter 3 Geometry Test B
Find the value of the pronumeral/s in each of
the following.
(a)
5
6
(b)
(c)
3
Find the value of the pronumeral in each of the
following to the nearest degree.
(a)
(b)
(c)
6
Maths Quest 9 for New South Wales 5.3 pathway
4
5
Chapter 3 Geometry Test B
(a)
A polygon has 8 sides. Find the sum of its
angles.
(b)
A regular polygon has 10 sides. Find the
size of each of its angles.
Find the value of the pronumeral.
(a)
6
4
4
(b)
4
6
Indicate two pairs of :
(a) co-interior angles
(b) corresponding angles.
Maths Quest 9 for New South Wales 5.3 pathway
Chapter 3 Geometry Test B
7
7
Find the value of the pronumerals, giving
reasons.
2
8
Two transversal lines cross a pair of parallel
lines at 154° and 136°. Find the angle, x,
between the transversals.
3
9
Use a ruler and a protractor to construct
triangles that have:
(a) one side of length 3 cm and another of
5 cm with an angle of 70° between them
4
(b)
angles of 80° and 35° with the side
between them of length 4 cm.
Maths Quest 9 for New South Wales 5.3 pathway
Chapter 3 Geometry Test B
8
10
Determine the values of the angles a, b, c and d
in the figure below, giving reasons.
3
11
Determine the values of the angles a, b and c in
the figure below, giving reasons.
3
12
Determine the sum of each of the exterior
angles in a regular nonagon (a nine-sided
figure).
2
13
Construct a triangle PQR, with base
PQ = 8 cm, side PR = 6 cm and angle
PQR = 40°.
4
List the steps in your construction
Maths Quest 9 for New South Wales 5.3 pathway
14
Find the value of x.
Chapter 3 Geometry Test B
9
3