SEAGReady
Shape and SpaceP6 level20 questions in the full course
Supporting practice: this topic helps build angle understanding, but it is not selected for official-format mocks.Useful prerequisite knowledge, but not named as an assessed rule in the 2026 specification.

Angles at a PointSEAG Practice Questions

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

What your child needs to know

SEAGReady breaks angles at a point into 3 steps, taught in order so each skill builds on the last.

  1. 1

    Two Angles at a Point

    supporting lesson — excluded from official-format mocks

    Find a missing angle when two angles meet at a point

  2. 2

    Three or More Angles

    supporting lesson — excluded from official-format mocks

    Find a missing angle when three or more angles meet at a point

  3. 3

    Equal Angles at a Point

    supporting lesson — excluded from official-format mocks

    Find unknown angles when some angles at a point are equal

Try these SEAG-style questions

Three free sample questions from our angles at a point course. Every question comes with a full explanation, and hints that guide without giving the answer away.

Question 1Confidence builder

The circle shown has one sector of 130°. What is the angle of the remaining sector?

A circle split into a 130-degree sector and one unknown remaining sector.
Answer choices for question 1
Question 2Confidence builder

Three rays meet at a point. The angles between them are 90°, 120°, and an unknown angle. What is the missing angle?

Three rays meeting at a point with angles of 90 degrees, 120 degrees, and one unknown angle.
Answer choices for question 2
Question 3Confidence builder

A circular garden is divided into four equal sections. What is the angle of each section?

A circular garden divided into four equal sections, each labelled x.
Answer choices for question 3

Try the lesson: Two Angles at a Point

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°

Recall the angle sum at a point
1

Angles around a point make a full turn

Step 1 of 3

Prefer to read? See every step written out

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?

  1. 1

    Recall the angle sum at a point

    • Angles around a point make a full turn
    • A full turn is 360°360°
  2. 2

    Calculate the missing angle

    • Subtract the known angle from 360°360° − 145° = 215°

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°).

Mistakes to watch for

These are the misconceptions we see most often in angles at a point, including the ones our practice questions are specifically designed to catch.

  • Confusing with angles on a straight line
  • Missing one of the angles when adding
  • Errors with larger subtractions

Build these skills first

Struggling with angles at a point? The real gap is often in one of these earlier topics.

Angles on a Straight Line

More shape and space practice

Name 2D ShapesLine Types and PropertiesDescribe Shape PropertiesClassify TrianglesClassify QuadrilateralsUnderstand Polygons
20 questions on this topic alone

Master angles at a point and everything it unlocks

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.

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