Area & SA
Volume
Pythagoras theorem
Trigonometry
Similar Figures
100

Calculate the area for this triangle 

16cm2

100

Calculate the volume 

27cm3

100

Calculate C

5

100

Calculate x


14.4

100

Identify why are these triangles similar figures?

SSS

200

Calculate the total surface area of this shape

150cm2

200

Calculate the volume of a prism that has a length of 5cm, a width of 10cm and a height of 15cm.

750cm3

200

Calculate B

8cm

200

Calculate the value of a

18.3cm

200

calculate the scale factor for these triangles: 

1.5

300

Calculate the surface area of this shape. (Hint: Circumference = 2 x pi x r. You will need this to find the area of the rectangle).


188.51cm2

300

Calculate the volume of this shape

197.92cm3

300

A ladder leans against a wall. The bottom of the ladder is 6 m from the wall, and the ladder reaches a window 8 m high. How long is the ladder?

10m

300

Work out the length AB

13.08cm

300


Calculate the scale factor and x

Scale factor= 1.6

x= 11.2cm

400

Mike is having a pool built in his back yard and would like the sides and floor of the pool to be tiled. He has chosen a tile that costs $67.50 per square metre.  

Determine the total cost to tile Mike’s new pool.

$46,473.75

400

Calculate the volume of this shape 

96cm3

400

A rectangular TV screen measures 80 cm wide and has a diagonal of 100 cm. How tall is the screen?

60cm

400

A person stands 30 m away from a building. The angle of elevation from the ground to the top of the building is 40°. How tall is the building to 2 decimal places.

25.17m tall 

400

Calculate the scale factor and find the length of BC

Scale factor = 2

BC = 9cm 

500

This pyramid is 200 m in height with a square base, each side being 130m long. The sloping sides of the pyramid are at an angle of 62˚with the ground. Determine the total surface area


75790m2

500

Liam is building a fish tank in the shape of a cube. Each edge of the cube measures 50cm. What is the fish tank's capacity in L?

125L

500

A ship sails 12 km east and then 9 km north. A lighthouse is spotted directly from the ship. How far is the ship from its starting point?

15km

500

You are in a hot air balloon. You look at Steve with an angle of depression of 30 degrees. Your elevation is 1200m. How far apart are you and Steve?

2400m

500

Calculate the value of x

27

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