Transcript 01 07 Triangles Treasure Hunt Cards

Route A
Venue: Room 1
Please Leave
Route A
How many triangles are there altogether in the diagram below?
However many there are, go to the window
opposite that room number.
Venue: Window opposite Room 13
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Route A
If not already open, then open
one of the windows opposite
Room 13.
Measure the angle through
which it can be opened.
If the angle is 21, then the super letter is P and go to Room 4.
If the answer is 41, then the super letter is B and go to Room 20.
Venue: Room 4
Please Leave
Route A
Find the area of this quadrilateral.
13 m
8m
4m
11 m
Write down the area, then return to your
Mathematics classroom for the next question.
Venue: Your Mathematics classroom
Route A
The Interactive Whiteboard
has a height of 45 inches
and a width of 64 inches.
How long is its diagonal?
Check your answer with your teacher
and receive a super letter and a destination.
Please Leave
Venue: Lab S8
Please Leave
Route A
A triangle has angles of
(3x + 10), (5x – 9) and (x + 26).
Whatever the value of x, go to that room number.
Venue: Room 17
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Route A
The super letter is M
Use tan to find the height of the triangle,
correct to the nearest whole number (integer).
height
19
73 cm
Whatever the height of the triangle, go to that room number.
Venue: Room 25
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Route A
What is the area of this triangle?
24 m
7m
25 m
If the area is 84 cm2, then go to the reception of the 2006 building.
If the area is 87.5 cm2, then go to Room 27a.
If the area is 300 cm2, then go to Room 10.
Venue: Reception at the 2006 building
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Route A/B
The super letter (either route) is U.
Outside there are lots of yellow poles
which are not quite vertical.
Choose one.
Measure with your protractor the
angle it makes with the ground.
Estimate with your ruler the length of
the adjacent.
Use trigonometry and Pythagoras’
theorem to calculate an estimate for
the length of the pole (in m).
adjacent
Route A travellers, continue to Lab S2.
Route B travellers, continue to Room A2.
Venue: Lab S2
Please Leave
Route A
What is the sum of the angles in this polygon?
If the angle sum is 720, then go to the piazza.
If the angle sum is 900, then go to the wall by the car park by the
2006 building.
If the angle sum is 1080, then go to the netball courts.
Venue: the wall by the car park by the 2006 building
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Route A
Each whole brick on this wall
(i.e. not the ones that have been cut)
measures 6 cm high by 20.5 cm long.
Find the length of a diagonal of the brick,
correct to 2 decimal places.
6 cm
20.5 cm
If the diagonal is 21.36 cm, the super letter is G, go to A3.
If the diagonal is 21.39 cm, the super letter is H, go to the Theatre.
Venue: Room A3
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Route A
Two of the angles in a triangle
are 59 and 75.
What is the size of the third angle?
Whatever the size of the third angle, go to that room number.
Venue: Room 46
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Route A
The super letter is L
Use Pythagoras’ Theorem to calculate the length of the missing
side of this right-angled triangle.
122 m
120 m
missing side
Whatever the length of the missing side, go to that room number.
Venue: Room 22
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Route A
Use the code A = 1, B = 3, C = 5, etc to decipher this instruction:
13 29 / 39 29 / 39 15 9 /
39 35 1 31 9 51 17 1 /
5 23 29 37 9 37 39 /
39 29 / 39 15 9 /
11 17 9 23 7
Venue: Trapezia closest to the field
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Route A
The super letter is O
(to the tune of Pop Goes the Weasel)
Half the sum of the parallel sides
Times the height between them.
That is how you calculate
The area of a trapezium.
This question has been stuck above Trapezium A.
The height of this trapezium is 84 cm.
The parallel sides of this trapezium are 122 cm and 108 cm.
What is the area of this trapezium?
Go to the music room M1.
Venue: Music Room M1
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Route A
Use trigonometry to find the size of the angle labelled with an x,
correct to the nearest whole number (integer).
The diagram is not to scale.
167 m
x
267 m
Whatever the size of the angle, go to that room number.
Venue: Room 32
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Route A
The super letter is J
Each number in the pyramid
is the sum of the two bricks directly below.
51
31
10
14
5
Find the number that must go in the
middle brick of the bottom row. Go to that room.
Route B
Venue: Room 24
Please Leave
Route B
Use trigonometry to find the size of the angle labelled with an x,
correct to one decimal place. The diagram is not to scale.
x
43 m
89 m
If the angle is 64.2, go to music room M2.
If the angle is 67.1, go to the canteen.
Venue: Room M2
Please Leave
Route B
The super letter is T
What is the area of this triangle?
4 cm
7 cm
Whatever the area, go to the window opposite that room number.
Venue: Window opposite Room 14
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Route B
If not already open, then open
one of the windows opposite
Room 14.
Measure the angle through
which it can be opened.
If the answer is 21, then go to the trapezia closest to the field.
If the answer is 41, then go to the trapezia behind Room P6.
Venue: Trapezia closest to the field
Please Leave
Route B
The super letter is O
(to the tune of Pop Goes the Weasel)
Half the sum of the parallel sides
Times the height between them.
That is how you calculate
The area of a trapezium.
This question has been stuck above Trapezium B.
The height of this trapezium is 90 cm.
The parallel sides of this trapezium are 171 cm and 185 cm.
What is the area of this trapezium?
Go to Room 3.
Venue: Room 3
Please Leave
Route B
What is the sum of the angles in this polygon?
If the angle sum is 900, then go to Room 8.
If the angle sum is 1080, then go to Room P1.
If the angle sum is 1260, then go to the reception in the 2006
building.
Venue: Reception at the 2006 building
Please Leave
Route A/B
The super letter (either route) is U.
Outside there are lots of yellow poles
which are not quite vertical.
Choose one.
Measure with your protractor the
angle it makes with the ground.
Estimate with your ruler the length of
the adjacent.
Use trigonometry and Pythagoras’
theorem to calculate an estimate for
the length of the pole (in m).
adjacent
Route A travellers, continue to Lab S2.
Route B travellers, continue to Room A2.
Venue: Room A2
Please Leave
Route B
How many triangles are there altogether in the diagram below?
If the answer is 18, then go to Room 30b.
If the answer is 20, then go to the PE Office.
If the answer is 22, then go to the Library.
Venue: PE Office
Please Leave
Route B
The super letter is T
Each number in the pyramid
is the sum of the two bricks directly below.
104
55
23
15
4
Find the number that must go in the
middle brick of the bottom row. Go to that room.
Venue: Room 5
Please Leave
Route B
Find the area of this quadrilateral.
12 m
8m
9m
1m
Write down the area, then return to your
Mathematics classroom for the next question.
Venue: Your Mathematics classroom
Route B
The Interactive Whiteboard
has a height of 45 inches
and a width of 64 inches.
How long is its diagonal?
Check your answer with your teacher
and receive a super letter and a destination.
Please Leave
Venue: Room 45
Please Leave
Route B
Two of the angles in a triangle
are 73 and 92.
What is the size of the third angle?
Whatever the size of the third angle, go to that room number.
Venue: Room 15
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Route B
Use tan to find the base of the triangle,
correct to the nearest whole number (integer).
base
20
34 cm
If the base is 86.2 cm, then the super letter is R, go to Room 28.
If the base is 93.4 cm, then the super letter is H, go to Room S10.
Venue: Lab S10
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Route B
Use the code A = 1, B = 2, C = 3, etc to decipher this instruction:
7 15
20 15
19 20 1 9 18 19
2 25
13 1 9 14
18 5 3 5 16 20 9 15 14
Venue: Stairs by Main Reception
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Route B
Each of these stairs is 30 cm long and 15 cm tall.
Use trigonometry to calculate the angle of the slope,
correct to one decimal place.
15 cm
30 cm
If the answer is 26.5, then the super letter is F, go to Room P5.
If the answer is 26.6, then the super letter is P, go to Lab S4.
Venue: Lab S4
Please Leave
Route B
A triangle has angles of
(2x + 17), (x – 22) and (2x + 20).
Whatever the value of x, go to that room number.
Venue: Room 33
Please Leave
Route B
The super letter is S
Use Pythagoras’ Theorem to calculate the length of the missing
side of this right-angled triangle.
missing side
18 m
30 m
Whatever the length of the missing side, go to that room number.