Download Y9 Geometry Assess2006

Year 9 Mathematics
Name:
.
Geometry Assessment
Answer all questions in the spaces provided.
Question One
Label each of these angles with their type using the list on the right.
obtuse
right angle
straight
angle
reflex
acute
B
A
C
A
.
B
.
C
.
Question Two
Name these two polygons.
B
A
A is a
B is a
Question Three
In the shape below, the angle marked ‘w’ can be written as
angles marked in the shape.
R
y
w
z
Q
S
x
T
i)
x
ii)
y
.
iii)
z
.
.
QRS. Name the other 3
Question Four
In each box below, draw a two-dimensional diagram of the top, front, back, right side and
left side view of the following 9-block construction.
Back
Right side
Left side
Front
a)
Top view
b)
Front view
c)
Back view
d)
Right side view
e)
Left side view
Question Five
a)
Power pylons are strengthened with steel bars that cross over each other.
70
z
y
An angle between two of the steel bars is 70°. What is the size of
b)
i)
angle y?
__________°
ii)
angle z?
__________°
A wind-turbine can have a 3- or 5-bladed propeller. The angles between the blades
on each propeller are always equal.
What is the size of each angle on a
i)
3-bladed propeller?
__________°
ii)
5-bladed propeller?
__________°
Question Six
Using your compass, construct a triangle with sides:
The 6 cm line has been drawn for you.
6 cm, 5 cm, and 4 cm.
Question Seven
The 2-dimensional plan has been drawn as a 3-dimensional shape on isometric paper. The
numbers on the plan show how high the blocks are stacked.
2-dimensional plan
1
2
1
For each plan below draw its 3-dimensional shape.
a)
1
1
1
b)
2
1
1
c)
3
2
2
2
1
3-dimensional shape
Question Eight
b
c
a)
The centre of Dunedin is called the Octagon. If you walked right around the
Octagon once, how many degrees would you have turned through? __________
The shape drawn above is a regular octagon.
b)
i)
What is the size of angle b?
ii)
How did you work it out?
__________
__________________________________________________________________
__________________________________________________________________
c)
i)
What is the size of angle c?
ii)
How did you work it out?
__________ º
__________________________________________________________________
__________________________________________________________________
Question Nine
Lines marked
a)
are parallel.
Calculate the size of the angle marked r and give a reason for your answer.
60
r
[Not drawn to scale]
r = ______º
Reason: ______________________________________________________________
______________________________________________________________________
b)
Calculate the size of the angles marked s and t and give a reason for each answer.
125
t
s
[Not drawn to scale]
i) s = ______º
Reason: __________________________________________________________
__________________________________________________________________
ii) t = ______º
Reason: __________________________________________________________
__________________________________________________________________
c)
m
89
89
n
[Not drawn to scale]
Are the lines marked m and n parallel? (Circle the correct answer) Yes / No
Give a reason for your answer:
________________________________________________________________
______________________________________________________________
Question Ten
Using your compass and ruler construct the angle bisector of the angle ABC
A
B
C
Question Eleven
In the space below accurately construct a net for a regular tetrahedron with edges of 5 cm.
5 cm
Question Twelve
Calculate the value of angle  .
41
90

You must show the steps you use and give correct geometrical reasons for each step.
A correct value for  on it’s own is not enough to receive the credit for this question.
Year 9 Geometry Asessment
Question One
Acute
all 3
A
Question Two
(Reg) Octagon
both A
QTS
RSQ
SQT
Question Four
N A M E
all 3 correct M
Question Eight
70
110
120
72
3 out of 4
A
a) 360
b)
i) 45
ii) must indicate
c)
Must have two arcs
Lines should be ruled.
Allow  1mm
2 out of 3
A
Result
allow minor errors only
Question Six
Question Three
i
ii
iii
.
Question Five
Obtuse Reflex
Quadrilateral
Name
A
360
.
8
i) 135
ii) straight line angle = 180 .
b and c correct with reasons
M
Question Nine
Sufficiency for Achievement = 4 A’s
Question Seven
a) 60
b)
Alternate  ' s parallel lines
i) 125
Corresponding  ' s parallel lines
ii) 55
 ' s on straight line.
c) No
a)
b)
For parallel lines co-interior angles
add to 180 .
3 out of 4 correct with reasons
M
Question Ten
3 out of 5
A
c)
3 correct arcs and a line ruled, check by
sight.
M
Sufficiency for Merit
Achieved plus 3 M’s or 4 M’s
Feed down!!
Question Twelve
Check for 4 well constructed equilateral
triangles which will fold to a tetrahedron.
  131
Look for correct reasoning at least two
steps.
Check the diagram for extensions to either
transverse line.
eg.
eg
Question Eleven
90
E
41
E
Sufficiency for Excellence
Merit plus both E codes
For a student to achieve they could receive
any 4 from code A, M, or E.
Angles calculated correctly in Questions
8b,c, 9 or 12 can be substituted for any one
from Question 5