Challenge your children’s reasoning with this Year 5 missing angles worksheet, perfect for revisiting shape properties and angle rules. Pupils are given a range of triangles and quadrilaterals, each with some angles labelled and others marked with question marks. Using their knowledge of angle sums—180° in a triangle and 360° in a quadrilateral—they must calculate the missing angles and write their answers in the provided boxes. The shapes include isosceles triangles, trapeziums and rectangles, giving children a chance to apply angle facts and reason mathematically. This KS2 activity strengthens confidence in identifying, comparing and calculating angles.
Key Curriculum Focus
This KS2 geometry worksheet aligns with the national curriculum by supporting:
- Using known angle facts to find missing angles in triangles and quadrilaterals
- Identifying types of angles and understanding that angles are measured in degrees
- Applying mathematical reasoning to solve shape-based problems
The variety of triangles and quadrilaterals allows learners to recall key properties and use angle relationships to complete each shape. This Year 5 missing angles worksheet helps pupils develop their problem-solving strategies, use reasoning effectively and build fluency with KS2 angle calculations.
Missing Angles in Year 5 Maths
Triangles always have internal angles that total 180°, and quadrilaterals have angles that total 360°. In Year 5, children use these rules to calculate missing angles, often working backwards by subtracting known values. For example, if two angles in a triangle are 60° and 75°, the third must be 45°. Pupils practise using this knowledge to complete more complex composite shapes, improving their understanding of geometry.
Activity Idea: Angle Sum Challenge
Provide children with triangle and quadrilateral cut-outs where two or three angles are labelled. Using mini whiteboards, ask pupils to calculate the missing angle for each shape and explain how they found their answer. As an extension, encourage them to create their own ‘missing angle’ shape for a partner to solve.
Find more Year 5 maths resources
Improve angle accuracy with our Year 5 Drawing and Measuring Angles Worksheets, where pupils use a ruler and protractor to measure angles in given shapes, then practise drawing specific angles to strengthen geometry and tool-handling skills. For more hands-on opportunities with angles and shape work, explore our full range of Year 5 maths worksheets aimed at securing KS2 geometry objectives.
