KS2 Maths textbook

Chapter 9: Angles and shapes

  • Strand Geometry
  • Level Year 5
  • Practice 97 questions with step-by-step solutions

National Curriculum for England, Key Stage 2 mathematics, Year 5. Content: Identify 3-D shapes, including cubes and other cuboids, from 2-D representations, Know that angles are measured in degrees: estimate and compare acute, obtuse and reflex angles, Draw given angles, and measure them in degrees, Identify angles at a point and one whole turn (total 360 degrees), angles at a point on a straight line and half a turn (total 180 degrees), other multiples of 90 degrees, Use the properties of rectangles to deduce related facts and find missing lengths and angles, Distinguish between regular and irregular polygons based on reasoning about equal sides and angles.

Open Year 5 chapter

By the end of this chapter you will be able to

  • Name the faces, edges and vertices of a cube and a cuboid, and say what a net folds into
  • Name an angle as acute, right, obtuse or reflex, and estimate its size by comparing it with a right angle
  • Measure and draw angles in degrees with a protractor, and read a reflex angle from the small angle next to it
  • Find a missing angle on a straight line (180 degrees), at a point (360 degrees), and in turns of 90 degrees
  • Use the properties of rectangles to find missing sides and angles
  • Tell regular polygons from irregular ones by their equal sides and equal angles

You should already know

  • Right angles, quarter turns and 2-D shapes (Year 4, Chapter 9)
  • Perimeter of rectangles and composite shapes (Year 5, Chapter 8)
  • Multiplying and dividing by 10, 100 and small numbers (Chapters 4 and 5)

Where this leads

  • Reflection and translation of shapes on a grid (Year 5, Chapter 10)
  • Angles in triangles and quadrilaterals, and angles on parallel lines (Year 6, Chapter 10)
  • Circles and regular polygons with angles in more detail (Year 6, Chapter 10)

Lessons in this chapter

  1. 9.1 3-D shapes from 2-D pictures
  2. 9.2 Measuring angles in degrees
  3. 9.3 Measuring and drawing angles with a protractor
  4. 9.4 Angles on a line, at a point and in turns
  5. 9.5 Rectangles: sides and angles
  6. 9.6 Regular and irregular polygons
  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