Senior 1 · UCE Mathematics

Bearings Past Questions & Worked Solutions

Exam-style UCE Mathematics questions on Bearings with clear diagrams and step-by-step worked solutions for Senior 1–4 candidates preparing for UNEB examinations.

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Sample Questions

Worked Examples & Step-by-Step Solutions

Preview exam-style UCE Mathematics problems with full step-by-step solutions.

Sample Question 1: Finding bearings from point A to point B2 marks

Question

The bearing of $B$ from $A$ is $065^\circ$ . Find the bearing of $A$ from $B$ .

A bearing measured clockwise from north

Step-by-Step Worked Solution

Reverse bearings differ by $180^\circ$ : $065^\circ+180^\circ=\boxed{245^\circ}.$

Sample Question 2: Calculating distance and bearing from starting point4 marks

Question

A boat travels $8$ km north and then $6$ km east. Find its distance and bearing from the starting point.

Step-by-Step Worked Solution

The distance is $\sqrt{8^2+6^2}=10\text{ km}.$ If $\theta$ is measured east of north, $\tan\theta=\frac{6}{8},$ so $\theta=36.9^\circ$ . The bearing is $\boxed{037^\circ}.$

Bearings Questions & Worked Solutions | UCE Mathematics | PassMath