Understanding that angles around a point add up to 360° and using this to find missing angles.
Where your child meets this in real life: Understanding pie charts, clock angles, or compass bearings
This topic isn't tested on its own, but it sits inside questions on tested topics. Each SEAG paper has 28 maths questions. Questions 29 to 50 are multiple choice with five possible answers, and questions 51 to 56 need a short written answer. With 56 questions in 60 minutes across English and maths, that is about a minute per question.
SEAGReady breaks angles at a point into 3 steps, taught in order so each skill builds on the last.
Find a missing angle when two angles meet at a point
Find a missing angle when three or more angles meet at a point
Find unknown angles when some angles at a point are equal
Try three free questions from our angles at a point course. They start easy and get harder, so you can see where your child's confidence runs out. If they manage the last one without a hint, this topic is probably secure. If not, the steps above show where to start.
The circle shown has one sector of 130°. What is the angle of the remaining sector?
Five rays meet at a point. Four of the angles between them are 65°, 72°, 88°, and 55°. What is the fifth angle?
A flower bed is divided into sections. Two sections have an angle of 30° each, and the remaining space is split into three equal sections. What is the angle of each equal section?
This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.
Cara is looking at a pie chart showing how pupils travel to school. The 'walk' section takes up 145° of the circle.
What angle is left for all the other ways of travelling?
360° − 145°
Angles around a point make a full turn
Step 1 of 3
Cara is looking at a pie chart showing how pupils travel to school. The 'walk' section takes up 145° of the circle.
What angle is left for all the other ways of travelling?
The other ways of travelling take up 215° of the pie chart.
The key insight: A full turn around any point is always 360° - like going all the way around a clock!
Common mix-up: 180° − 145° = 35°. That's the rule for a straight line (180°), not angles around a point (360°).
These are the misconceptions we see most often in angles at a point, including the ones our practice questions are specifically designed to catch.
Struggling with angles at a point? The real gap is often in one of these earlier topics.
Sitting the SEAG test this November? Read our last-month revision plan, Paper 1 vs Paper 2 and test day guide.
SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.
Free to start · no card needed