Perimeter & Area
Volume & Capacity
Pythagorean theorem
Similarity
Time
100
Find the perimeter. Give your answer in km.
3.9km
100
Determine the volume of the prism. Express your answer in mm3.
40cm3 = 40,000mm3
100
Find the length of the hypotenuse.
13cm
100
These two triangles are similar. True or False? Explain why.
False.
100
What is 7:38pm in 24 hour time?
1938 hours
200
Find the circumference to 2 decimal places.
106.81cm
200
Determine the volume of this prism:
272m3
200
A man goes 18m east and then 24m north. Find the distance of his current position from the starting point?
30m
200
Prove why the following triangles are similar:
SSS
Same scale factor of all corresponding sides = 2
200
What is the time difference between 8.45am and 2.30pm?
5 hours, 45 minutes
300
Find the area of the trapezium:
72cm2
300
A sandpit at the local kindergarten has a base of 215m2 and is 45cm deep. Determine how much sand (in m3) will be needed to fill it.
96.75m3
300
There are two paths that one can choose to go from Sarah’s house to James house. One way is to take C Street, and the other way requires to take A Street and then B Street. How much shorter is the direct path along C Street?
C Street = 2.5km
It is shorter by 1km.
300
These two triangles are similar. Fnd the value of x.
5cm
300
Yesterday, sunrise was at 06:43 and sunset was at 19:31. How long was it between sunrise and sunset?
12 hours, 48 minutes
400
The floor shown is to be covered in floorboards. Each floorboard measures 20cm x 80cm. How many floor boards are needed?
Area = 19.84m2
1 floorboard covers 0.16m2
No. floorboards required: 124
400
Find the number of litres of water required to fill this swimming pool:
200,000 litres
400
Find the values of the unknowns. Round your answers to 2 decimal places.
x = 2.83cm
y = 4.12cm
400
The scale factor between these similar triangles is 2.5
Determine the lengths of each side of the smaller triangle.
LK = 6cm
LJ =4cm
JK = 8cm
400
Find the time which is 2 & 3/5 hours before 10:20am
7:44am
500
Find the area AND perimeter of the composite shape, correct to 2 decimal places.
area: 21.00mm2
Perimeter: 26.18cm
500
A tunnel with the dimensions shown is made of concrete. The tunnel is 30m long and concrete costs $120 per cubic metre (m3). Find the total cost to build the tunnel to the nearest $.
Large half cylinder: 18,849.56 m3
Small half cylinder: 10,602.88 m3
Concrete required: 8,246.68 m3
Total cost: $989,602
500
JB Hi Fi is selling 140cm HD TV’s. This measurement is the diagonal distance across the screen. If the screen measures 122cm in width, what is the actual height of the screen? Round to 2 decimal places.
68.67cm
500
These 2 triangles are similar. Solve for x.
Length of AD = 16.5
x = 13.5
500
Margaret flew from Brisbane to Hong Kong, departing at 7.30am and arriving at 5.20pm. She then flew from Hong Kong to London, departing at 8.30pm and arriving at 10:45am.
How many hours and minutes did Margaret fly for (hours on plane)?
Brisbane to Hong Kong = 9 hours, 50 minutes
Hong Kong to London = 14 hours, 10 minutes
Total flying time = 24 hours