KS2 Maths reasoning (SATs) textbook

Chapter 5: Geometry: angles and shapes

Strand Geometry: properties of shapes
Level Year 6
Practice 97 questions with step-by-step solutions

KS2 SATs practice for reasoning (Year 6). Original questions in the style of the national tests. Content: Use the properties of rectangles, triangles and regular polygons to deduce related facts (Year 5-6), Know that angles at a point add to 360 degrees, angles on a straight line add to 180 degrees, and vertically opposite angles are equal (Year 6), Calculate unknown angles in a triangle and in a quadrilateral (Year 5-6), Compare and classify triangles and quadrilaterals by their properties, and explain (Year 5-6), Identify 3-D shapes from 2-D representations, including nets, faces, edges and vertices (Year 5-6), Distinguish regular and irregular polygons, identify acute, obtuse and reflex angles, and name parts of a circle (Year 6), Prove or disprove a geometric statement with a reason (Year 5-6).

Open Year 6 chapter

By the end of this chapter you will be able to

Find a missing angle at a point, on a straight line, or in a triangle or quadrilateral
Use the angle sum of a polygon, and of a regular polygon
Classify a triangle or quadrilateral by its properties, and say why
Name the faces, edges and vertices of a 3-D shape from a picture or a description
Say whether a statement is always, sometimes or never true, and give a reason

You should already know

Right angles, straight lines and the names of 2-D shapes (Year 4 and Year 5 geometry)
Angles in a triangle (Year 5 geometry)

Where this leads

Position and coordinates (Chapter 6 of this book)

Lessons in this chapter

Read the whole chapter on one page (good for printing).

Practise with real exam questions

The DfE publishes every past KS2 test, with mark schemes, for free.

KS2 Maths reasoning (SATs) past papers