The side length of an equilateral triangle is 4 cm, as shown in the diagram below.
Which one of the following is not a correct calculation for the area of this triangle?
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GEOMETRY, FUR2 2012 VCAA 3
A tree is growing near the block of land.
The base of the tree,
- Show that, correct to two decimal places, distance
is 41.81 metres. (1 mark) - From point
, the angle of elevation to the top of the tree is 22°. Calculate the height of the tree.
Write your answer, in metres, correct to one decimal place. (1 mark)
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| a. | ||
b.
♦♦ Exact data unavailable although this part was highlighted as “very poorly answered”.
GEOMETRY, FUR2 2013 VCAA 1
A spectator,
Competitor
- Find the distance,
, correct to the nearest metre. (1 mark)
Competitor
The angle
-
- Calculate the distance,
, correct to the nearest metre. (1 mark) - Find the area of triangle
, correct to the nearest square metre. (1 mark)
- Calculate the distance,
- Determine the angle of elevation of spectator
from competitor , correct to the nearest degree. Note that
, and are on the same horizontal level. (1 mark)
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a.
b.i.
b.ii.
| c. |  |
GEOMETRY, FUR2 2014 VCAA 2
The chicken coop has two spaces, one for nesting and one for eating.
The nesting and eating spaces are separated by a wall along the line
- Write down a calculation to show that the value of
is 75°. (1 mark) - The sine rule can be used to calculate the length of the wall
. Fill in the missing numbers below. (1 mark)
- What is the length of
? Write your answer in metres, correct to two decimal places. (1 mark)
- Calculate the area of the floor of the nesting space,
. Write your answer in square metres, correct to one decimal place. (1 mark)
The height of the chicken coop is 1.8 m.
Wire mesh will cover the roof of the eating space.
The area of the walls along the lines
- What total area, in square metres, will be covered by wire mesh?
Write your answer, correct to the nearest square metre. (2 mark)
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| a. | ||
b.
| c. | ||
| d. | ||
| e. |  |
MARKER’S COMMENT: An excellent example where many students do not read the question carefully and give away easy marks.
GEOMETRY, FUR2 2015 VCAA 4
Wires support the communications tower, as shown in the diagram below.
The shortest wire is 31 m long.
The shortest wire makes an angle of 38° with the communications tower.
The longest wire is 37 m long.
The longest wire is attached to the communications tower
What is the value of
Write your answer in metres, correct to one decimal place. (2 marks)
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♦ Mean mark sub 50% (exact data not available).
GEOMETRY, FUR1 2008 VCAA 5 MC
For the triangle shown, the value of
A.
B.
C.
D.
E.
GEOMETRY, FUR1 2006 VCAA 2 MC
The length of
A.
B.
C.
D.
E.
GEOMETRY, FUR1 2011 VCAA 4 MC
GEOMETRY, FUR1 2012 VCAA 7 MC
GEOMETRY, FUR1 2010 VCAA 3 MC
An equilateral triangle of side length 6 cm is cut from a sheet of cardboard.
A circle is then cut out of the triangle, leaving a hole of diameter 2 cm as shown below.
The area of cardboard remaining, as shown by the shaded region in the diagram above, is closest to
A.
B.
C.
D.
E.
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