Transum Software

Loci Land

Make scale drawings of real life loci situations using ruler, compasses and pencil.

Level 1 Level 2 Exam-Style Description Help More Loci
  • Copy the diagram of this garden onto graph paper or squared paper. Each square represents one square metre.
  • Use a pair of compasses to draw a circle showing all the points that are 6 metres from the centre of the fountain.
  • Shade in the region representing all points less than 6 metres from the centre of the fountain.
  • A tortoise walks across the garden from C keeping the same distance from the flower bed as from the wall BC. Draw the path the tortoise takes on your diagram.
  • How far does the tortoise walk in your shaded region?
m Correct Wrong
  • Copy the diagram of this part of the ocean. Each square represents one square kilometre.
  • Shade the area of the sea that is up to 3 kilometers away from Round Island.
  • Shade the area of the sea that is up to 3 kilometers away from Oblong Island.
  • Your shaded regions show the legal fishing areas for the fishermen of each island. The overlapping area has joint fishing rights. What is the maximum distance a trawler could travel in a straight line in this joint fishing area?
km Correct Wrong
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Instructions

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Description of Levels

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Level 1
1. Draw an angle bisector and find the loci of points less than a certain distance from a point.
2. Find the loci of points less than a certain distance from a rectangle and a circle.

Level 2
1. Draw the perpendicular bisector of line and find the loci of points more than a certain distance from a point.
2. Bisect an angle and draw the perpendicular from a point to a line.

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Example

The video above is from Lambeth Academy.

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