Trigonometry
True Bearings
3D surface area
Problem Solving
Volume
100
Find x
6.09 km
100
Write the bearing of R from S.
212°
100
calculate the surface area of a cube with side length 6m
216 m2
100
One building casts a shadow onto another building 11m away at an angle of depression of 34°. The shadow goes up 7.58 m on the second building. How tall is the first building?
15 m
100
what is a the volume of a cube with side length 4cm
64 cm3 or mL
200
Find \theta
52°
200
Find the bearing of Z from Y.
155°
200
what is the surface area of a box measuring 1.5x3.5x5.5 in mm
65.5 mm2
200
AOB is a slice of pizza. [AB] is 11.5 cm long, and angle AOB is 45°. Find the diameter of the pizza, to the nearest cm.
30 cm
200
How many Litres in one cubic metre
1000 L in 1 m3
300
Find \theta
41.8°
300
Find the bearing of E from F.
204°
300
Calculate the surface area of a sphere with diameter 14cm
615.75 cm2 (or 196 times pi for exact answer)
300
Find the length of CF in the box below.
11.2 cm
300
find the volume of a cone with radius 20mm and height 3cm
4pi or 12.57 cm3
400
Use the diagram to estimate the value of tan 69 (give your answer to 3 decimal places).
2.602
400
A wolf travels 161 m north to a water hole. He then chases some prey 240 m west. Find the bearing of his position from his starting point (to the nearest degree).
304°
400
find the surface area of a cylinder that is 1.5m tall and 100cm across.
62831.85 cm2 (or 20000 times pi)
400
Find the area of the Bermuda triangle shown below.
437812 miles squared (437814 miles squared with rounding error)
400
Find the radius of a sphere with capacity 60 mL
2.43 cm
500
Find sin Φ
0.85
500
A bird flies in the direction 230° and stops when it is 4 km west of its starting point. Find the distance and direction that the bird must travel to return to its starting point.
5.22 km, 50° T
500
what is the surface area of an ice cream cone where the scoop is a hemisphere with radius 3cm and the waffle cone has a perpendicular height of 4cm.
33pi or 103.67 cm2
500
A boat sails from point A on a bearing of 140°T for 40 km to point B. It then sails on a bearing of 250°T for 80 km to point C. Find the distance AC.
76.23 km
500
Will 1 litre of water fit into a cylinder with diameter 14cm and height 8cm. If no, how much will overflow? If yes, how much more water can fit in? (you may choose your units)
Yes, with 231.5mL or cm3 to spare