KS2 Maths textbook

Year 6 Angles, Shapes and Circles: lesson and practice

  • Strand Geometry
  • Level Year 6
  • Practice 97 questions with step-by-step solutions

National Curriculum for England, Key Stage 2 mathematics, Year 6. Content: Draw 2-D shapes using given dimensions and angles, Recognise, describe and build simple 3-D shapes, including making nets, Compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals and regular polygons, Illustrate and name parts of circles, including radius, diameter and circumference, and know that the diameter is twice the radius, Recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.

Open Year 6 chapter

By the end of this chapter you will be able to

  • Find a missing angle on a straight line (180 degrees), at a point (360 degrees) and opposite a crossing
  • Find the missing angles in triangles and quadrilaterals, and the angles of an isosceles triangle
  • Work out the interior angles of a polygon, and each angle of a regular polygon
  • Name the radius, diameter and circumference of a circle, and use the diameter is twice the radius
  • Work out the circumference of a circle using pi = 3.14 or 22/7
  • Draw a shape from its sides and angles, and count the faces, edges and vertices of a 3-D shape
  • Check whether a net folds up into a cube

You should already know

  • Angles and shapes: acute, obtuse and reflex angles, and angles on a line and at a point (Year 5, Chapter 9)
  • Perimeter of rectangles and other shapes (Year 5, Chapter 8; Year 6, Chapter 9)
  • Multiplying and dividing decimals (Year 6, Chapter 5)
  • Simple equations with one unknown, used for missing angles (Year 6, Chapter 8)

Where this leads

  • Coordinates, reflection and translation of shapes (Year 6, Chapter 11)
  • Circle area, and angles in parallel lines and circles (KS3)
  • Using angle facts to prove geometric results (KS3)

Lessons in this chapter

  1. 10.1 Angles on a line, at a point and opposite
  2. 10.2 Angles in triangles and quadrilaterals
  3. 10.3 Polygons and their angles
  4. 10.4 Parts of a circle and the circumference
  5. 10.5 Drawing 2-D shapes from their dimensions and angles
  6. 10.6 3-D shapes and nets
  7. Summary and key words
  8. Check-up and SATs-style questions

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 past papers