Download Form 4 - Nayland Maths

Form 3
GEOMETRY ASSESSMENT
Name ____________________
Form _________
Answer on the test sheet.
SHOW ALL YOUR WORKING,
and explain answers where required.
Read all questions carefully.
Mathematics legend Shelly has a toy train set. She plans to derail the train for a home video on stunt making.
To derail the train she places a toy tree across the tracks.
Toy tree trunk
B
C
0
Train Track
120
A
Calculate the unknown angles in the diagram, and give mathematical reasons for each angle.
(Give two reasons for angle C) Do NOT measure the angles.
1) Angle A = ______ Reason 1) ______________________________________________________________
2) Angle B = ______ Reason 1) ______________________________________________________________
3) Angle C = ______ Reason 1) ______________________________________________________________
Reason 2) ______________________________________________________________
(7 marks)
The train crashes into the tree causing a cargo of logs to fall out of a carriage. They form into shapes on the
ground.
4) Draw and name 4 different types of four sided shapes, which do not have any right angles.
(8 marks)
One carriage wheel was bent out of shape into a regular pentagon. Help Shelly find out more about a pentagon.
5) a) What total do the exterior angles in a pentagon add up to?
Exterior angle = __________________ degrees
(1 mark)
b) Clearly mark an exterior angle on the pentagon shown.
(1 mark)
c) Find the sum of the interior angles in the regular pentagon. Clearly explain how you have calculated
this value.
_______________________________________________________________________________________
_______________________________________________________________________________________
____________________________________________________________________________
(1 mark)
Interior angle = __________________ degrees
(1 mark)
6) Another carriage wheel was undamaged in the crash. Help Shelly label the parts of the wheel.
(5 marks)
A carriage full of triangles was spilt in the crash. Help Shelly sort these triangles by naming them
7) a)
b)
c)
d)
a)___________________ b) ___________________ c) ___________________ d) __________________
____________________
___________________
___________________
__________________
(4 marks)
8) Name three different types of angle other than a right angle.
_____________________ angle,
_____________________ angle,
(3 marks)
_____________________ angle,
Shelly wants to fix up the bent carriage, so she needs to construct some plans to work from. She has started in
the diagram below.
9) Construct the perpendicular bisector of line AB in the diagram below. Continue the perpendicular bisector
to point C. Show all construction lines.
(2 marks)
10) In the diagram below construct a line perpendicular to the line AB, that goes through point D
Show all construction lines.
(2 marks)
11) In the diagram below measure the angle CAB
(1 mark)
12) In the diagram below construct a line parallel to the line AB, that goes through point E
Show all construction lines.
(2 marks)
E
.
C
.
.
D
.
.
A
B
13) In the carriage crash a packing container got squashed. Draw a net that would fold to make the shape
drawn below.
(2 marks)
PAGE 1 __________
15
PAGE 2 ___________
13
PAGE 3 ___________
12
TOTAL ___________
40