NH 3626
YEAR 9.
1.
GEOMETRY. DRAWING.
Calculate the value of in each diagram, and complete the geometrical reasons for each question.
(a)
35
= ________________
because __________ angles on a line
add up to 180.
[2]
(b)
49
61
= ________________
because interior angles of a triangle
add up to _________ .
[2]
(c)
110
= ________________
because __________________ angles on
parallel lines are equal.
[2]
2.
Reflect the parallelogram ABCD in the
mirror line given.
A
D
m
B
C
[2]
3.
Make two statements about the symmetry on the diagram below.
4.
Translate the triangle ABC 3 units to the right and then 2 units down.
Label the result ABC.
B
C
A
[1]
5.
Below is the plan (top) view of 7 cubes
put together in stacks.
The numbers represent the height of each stack.
2
2
1
1
1
Plan view
Draw (a) the front view
(b) the right-hand view
6.
[1]
[1]
Draw the net of the square pyramid
shown below.
[1]
7.
Draw an isometric view of the stack of cubes shown in question 5, from the
direction indicated by the arrow.
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[2]
8.
Calculate the value of in each diagram, and give the geometrical reasons for each question.
(a)
115
(b)
120
9.
Construct the perpendicular bisector of the line segment AB.
A
10.
B
Draw the reflection of the object in the given mirror line.
11.
Find the centre of rotation to rotate one smiley face onto the other. Label it O.
[1]
12.
A tessellation of a trapezium is shown below.
Fully describe the transformations of the trapezium shown in the tessellation above.
13.
Calculate the value of and give geometric reasons.
32
71
14.
A regular octagon has 8 equal angles
of 135.
Explain why, when four regular pentagons meet neatly, that the shape formed in the gap is a square.
Year 9 2003 Exam Schedule – Geometry
Achievement
Criteria
No.
Evidence
Solve simple
angle problems
1(a)
1(b)
1(c)
= 145, adjacent
= 70, 180
= 110, corresponding
Perform and
describe simple
isometric
2
Code
Judgement
A1
A1
A1
No alternative
No alternative
No alternative
A2
No alternative
Sufficiency
Achievement:
Two of
Code A1
plus
transformations
Two of
Code A2
plus
ACHIEVEMENT
3
A2
A2
No alternative
5(a)
A3
No alternative
5(b)
A3
No alternative
A3
No alternative
two lines at symmetry
order 2 rotational symmetry
4
Produce a
drawing
representing a
threedimensional
shape
Two of
Code A3
B’
B
A
Or equivalent
C A’
C’
6
x
x
MERIT
Produce a
representation
of a simple
threedimensional
shape
Solve simple
angle problems
and give reasons
A3
M1
Allow a minor
error
Merit:
Achievement
plus
8(a)
= 65
co-interior angles on parallel lines
A1
M1
No alternative
Or equivalent
8(b)
= 150
angles at a point
A1
M1
No alternative
Or equivalent
M1
A2
M2
No alternative
Code
Judgement
A2
M2
No alternative
Three of
Code M1
plus
Carry out
simple
constructions
9
Perform and
describe
isometric
transformations
10
Achievement
Criteria
No.
Perform and
describe
isometric
transformations
MERIT
7
Evidence
11
Three of
Code M2
Sufficiency
Merit:
Achievement
plus
12
Rotate 180 about middle of
right-hand side.
Reflect in base of trapezium.
A2
M2
A2
M2
Or equivalent
Three of
Code M1
Or equivalent
plus
Three of
Code M2
EXCELLENCE
Calculate angles
giving reasons
Demonstrate an
understanding
of drawing
techniques
associated with
geometry
13
= 103
angle sum in triangle
angles on a line
AM
E
No alternative
Two octagons meeting at an edge
form an angle of 270.
This leaves 90 to form the corner of
a square because angles at a point
sum to 360.
Excellence:
Merit
Or equivalent
AM
E
plus
Two of Code E
0
