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      Checking understanding of angles from KS2

      Lesson details

      Learning outcome

      I can calculate with angles at a point, angles on a line and vertically opposite angles.

      Key learning points

      1. Angles that meet at a point can be identified in diagrams.
      2. Angles that make a straight line can be identified on a diagram.
      3. Vertically opposite angles can be identified on a diagram.

      Keywords

      • Supplementary angles - Supplementary angles are a pair of angles that sum to 180°.

      • Conjugate angles - Conjugate angles are a pair of angles that sum to 360°.

      Common misconception

      In order for two angles to be supplementary, they must both lie about a point on a straight line.

      For two angles to be supplementary, they must sum to 180°. They do not also need to both lie on a straight line.

      Teacher tip

      Some students may mistakenly equate drawing a larger angle marker (an arc with a greater radius) with a larger angle. It is important to present angles in different ways: large angles labelled with small angle markers, and vice versa.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      Find: 180 − 47 = .

      Correct Answer: 133

      Q2.
      Complete the sentence: 77° is ____________ angle.

      Correct answer: an acute
      a right
      an obtuse
      a reflex

      Q3.
      Which of these calculations gives a different answer to the others?

      $$180 - 60\times2$$
      $$360\div6$$
      $$36 + 24$$
      Correct answer: $$360-280+20$$
      $$54 + {1\over30}\times180$$

      Q4.
      Which of these is the most accurate description of a polygon?

      A 2D shape with at least one straight side.
      All 2D shapes that are not circles are polygons.
      Correct answer: A 2D shape made up from only straight line segments.
      Triangles and squares are the only polygons.

      Q5.
      Which of these properties of a polygon always remain invariant when the polygon is reflected?

      position
      Correct answer: size of angles
      Correct answer: size of sides
      sense

      Q6.
      Which of these properties of a polygon always remain invariant when the polygon is positively enlarged?

      position
      Correct answer: size of angles
      size of sides
      Correct answer: sense
      Correct answer: orientation

      6 Questions

      Q1.
      The angles 119° and $$x$$° are supplementary angles. Find the size of angle $$x$$°.

      51°
      Correct answer: 61°
      231°
      241°
      251°

      Q2.
      The size of angle $$d$$ is measured accurately. Which of these values shows the size of angle $$d$$, in degrees?

      An image in a quiz
      57°
      Correct answer: 83°
      93°
      278°

      Q3.
      The angles 167° and $$y$$° are conjugate angles. Angle $$y$$° is °.

      Correct Answer: 193, 193°, 193 degrees, 193degrees

      Q4.
      Match the angle name to its size.

      Correct Answer:acute,32°
      Correct Answer:right angle,90°
      Correct Answer:obtuse,179°
      Correct Answer:reflex,182°
      Correct Answer:one full turn,360°

      Q5.
      Which of these statements about this diagram are accurate?

      An image in a quiz
      Angles $$e$$° and 125° are supplementary angles.
      Correct answer: Angles $$e$$° and 125° are conjugate angles.
      $$e$$ = 55.
      Correct answer: $$e$$ is a major angle.
      $$e$$ is a minor angle.

      Q6.
      QR is a line segment. Find the value of $$f+g+h+j$$.

      An image in a quiz
      Correct Answer: 327, 327°, 327 degrees, 327degrees

      To help you plan your 8 maths lesson on: Checking understanding of angles from KS2, download all teaching resources for free and adapt to suit your pupils' needs...