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Solving loci problems in context

The starter and exit quiz of the lesson “Solving loci problems in context”, from the unit “Loci and construction” (Year 11 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. Which diagram shows an angle bisector?
  2. Aisha places two cones, A and B, on the ground. Which of these points are closer to A than they are to B?
  3. Which of these points are equidistant from ST and TU?
  4. Izzy wants to find all the points that are the same distance from LM as they are from MN. What construction should she use?
  5. Which region is illustrated on this diagram?
  6. Select the region which matches this description: closer to AD than CD and closer to AB than BC.
  7. The locus of points equidistant from another point can be represented by a ___.
  8. A goat is tied to a railing by a 1.5 metre long rope. There is a barn near the railing. Which of these shows the locus of points the goat can walk to?
  9. A door-bell camera (S) can film any object up to 5 metres away. It can only film in locations that it can see in a straight line. Which construction shows the locus of locations the camera can film?
  10. This map shows two rocks, P and S, out at sea. A swimmer swims so that they are always the same distance from each rock. Which locus shows the swimmer's route?
  11. Izzy’s grandma wants to move to a house that is within 7 km of Izzy’s house at P, but also still at most 3 km from the river. Izzy's grandma should move to region ___.
  12. Aisha wants to work out whether point P is closer to point A or point B. What construction should Aisha use?

License: OGL

Solving loci problems in context · Examplary