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 pitch onto graph paper or squared paper. Each square represents one square metre.
  • Declan crosses the pitch keeping the same distance from the points E and F. Accurately draw Dec's path.
  • Anthony crosses the pitch keeping the same distance from the points G and H. Accurately draw Ant's path.
  • Shade the region of the pitch that is at least 10 metres from the point where Ant and Dec's paths cross.
  • How far is the point F from the point where the two paths cross?
m Correct Wrong
  • Copy the diagram of this prison onto graph paper or squared paper. The length of the side of each square represents 5 metres.
  • A prisoner leaves building 1 by the door at E and walks keeping the same distance from the two walls of building 1. When he gets to the point where he can be seen by the camera at F he changes course and walks directly towards building 2. Construct the path taken and measure the distance along the path. Give your answer in metres to the nearest half metre.
m Correct Wrong
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Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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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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