Initial Diagnostic Audit - Unit H2: Angles, Circles and Tangents
Section H2.1 - Compass Bearings
1. The diagram below shows the course of a ship's route from A to D.

Point C is directly east of point B.
What is the bearing of

(a)  B from A    °

(b)  C from B    °

(c)  D from C    °

(d)  A from B    °

2. A man has walked 500 m on a bearing of 110°.
Estimate how far east he now is from his starting point.    Distance = m
Section H2.2 - Angles and Circles 1
3. Calculate the size of the angles α, β and γ in the diagram, where O is the centre of the circle.

(a)  Angle α = °

(b)  Angle β = °

(c)  Angle γ = °

4. Calculate the angle θ in the diagram below where AB is a tangent and O is the centre of the circle.

Angle θ = °

5. Calculate the angle θ in the diagram below where O is the centre of the circle.

Angle θ = °

Section H2.3 - Angles and Circles 2
6. Calculate the angles marked in the diagram below where O is the centre of the circle.

Angle a = °

Angle b = °

7. Calculate the size of the angles marked in the diagram below.

(a)  Angle c = °

(b)  Angle d = °

8. Calculate the angle marked in the diagram below. O is the centre of the circle.

Angle e = °

Section H2.4 - Circles and Tangents
9. Calculate the angles x and y in the diagram below.
TA and TB are tangents to the circle.
(a)  Angle x = °

(b)  Angle y = °
10. What is the value of x as marked on the diagram?

x = cm

11. In the diagram below, TA is a tangent to the circle.
Calculate the lengths of x and y.
(a)  x = cm

(b)  y = cm

Marking your audit and producing your report

Once you are happy you have completed the audit, click the button below to mark your audit.
You will not be able to mark the audit again once you have clicked this button.
Mark your answers.

Now you can click the button below to produce your report. This button can be used more than once.
Produce your report.

< Back to Unit Menu
Produced by Russell Geach for CIMT - March 2014