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

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.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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