Angles in the 11+ — Questions, Worked Answers and Practice Papers

What examiners actually ask

Angles appears in 89 of our 571 ready papers (161 tagged questions). It averages 1.8 questions a paper worth about 1.8 marks each. The typical question allows around 55 sec. It appears in 2 CSSE papers we hold.

Angle questions in the 11+ test whether children can apply a small set of facts quickly: angles on a straight line, around a point, in a triangle, and in simple polygons. Independent papers add multi-step diagrams where one missing angle unlocks the next. Children who guess from the drawing, or who cannot name why an angle is 90° or 180°, lose marks even when the arithmetic is easy. Practise stating the reason (“angles in a triangle sum to 180°”) alongside the calculation — that habit catches errors early. Label every known angle on the diagram before choosing a fact, and never assume a right angle unless it is marked or stated. When a question asks for a specific angle, check you have not stopped one step early after finding a helpful intermediate value.

Common mistakes

• Assuming an angle is a right angle because it “looks like” one on a not-to-scale diagram.
• Using 360° when the fact needed is 180° on a straight line (or the reverse).
• Forgetting that a triangle’s angles sum to 180° when a diagram looks “stretched”.
• Finding one angle correctly then stopping before the angle the question actually asked for.

Papers with the most Angles questions

Ranked from our tagged catalogue — open a paper to practise the questions that actually test this topic.

Related topics

• Area and Perimeter
• Logical Problems
• Sequences
• Fractions
• Algebra
• Word Problems