Pythagoras' Theorem
Area, Surface Area and Volume
Similar triangles
Trigonometry
100
Calculate the length of the hypotenuse. All measurements are in cm.
25 cm
100
Convert 1m3 to L.
1000 L
100
What is the symbol for similarity?
~
100
Determine the value of x to 1 decimal place.
6.4 m
200
Calculate the length of the hypotenuse. All measurements are in cm.
7.2 cm
200
Calculate the surface are of the following cylinder. All measurements are in cm.
Use formula: S=2pi rh+2pir^2
1407.4 cm2
200
Complete the following sentence:
Two triangles are similar if their corresponding sides are in the ___________________________.
same ratio
200
Find the value of x to 2 decimal places.
22.17 cm
300
Determine the length of the unknown side. The measurements are in cm.
20.03 cm
300
Calculate the shaded area of the shape. The units are in cm.
144 cm2
300
Name the test used to prove that triangle EDC is similar to triangle ABC.
AA(A) or equiangular
300
In the diagram, DC = 100 m, CB = 150 m and ∠ABD = 25°. Find AD to the nearest metre.
117 m
400
Determine the length of x . All measurements are in cm.
10 cm
400
A rectangular swimming pool with uniform depth is 30 metres long, 8 metres wide and 2.8 m deep. It is to be tiled.
Calculate the cost if tiling costs $53 per square metre.
$23 998.40
400
Determine the value of the pronumerals in the pair of similar triangles below:
x = 25
y = 12
400
In the triangle ABC, the angle B is 90°, AB is 4 m and AC is 5 m. Find the size of angle A correct to the nearest degree.
37 ^circ
500
A 5 m ladder has its foot 2 metres from the foot of a wall. Determine the distance that the ladder will reach up the wall. Round your answer to the nearest cm.
4.58 m
500
A pipe is to be made from copper with the dimensions shown below:
Calculate the volume of copper in a 1 m length of pipe.
53.4 cm3
500
A post 1 m high casts a shadow, on level ground, that is 1.3 m long. At the same time a tree casts a shadow 71.5 m long.
Determine the height of the tree.
55 m
500
Point P is 18 m due south of point Q. Point R is due east of point P. If ∠PQR = 68°, find the distance from P to R to the nearest metre.
45 m