Skip over navigation
Cambridge University Faculty of Mathematics NRich logo
menu search
  • Teachers expand_more
    • Early years
    • Primary
    • Secondary
    • Post-16
    • Events
    • Professional development
  • Students expand_more
    • Primary
    • Secondary
    • Post-16
  • Parents expand_more
    • Early Years
    • Primary
    • Secondary
    • Post-16
  • Problem-Solving Schools
  • About NRICH expand_more
    • About us
    • Impact stories
    • Support us
    • Our funders
    • Contact us
  • search

Or search by topic

Number and algebra

  • The Number System and Place Value
  • Calculations and Numerical Methods
  • Fractions, Decimals, Percentages, Ratio and Proportion
  • Properties of Numbers
  • Patterns, Sequences and Structure
  • Algebraic expressions, equations and formulae
  • Coordinates, Functions and Graphs

Geometry and measure

  • Angles, Polygons, and Geometrical Proof
  • 3D Geometry, Shape and Space
  • Measuring and calculating with units
  • Transformations and constructions
  • Pythagoras and Trigonometry
  • Vectors and Matrices

Probability and statistics

  • Handling, Processing and Representing Data
  • Probability

Working mathematically

  • Thinking mathematically
  • Developing positive attitudes
  • Cross-curricular contexts

Advanced mathematics

  • Decision Mathematics and Combinatorics
  • Advanced Probability and Statistics
  • Mechanics
  • Calculus

For younger learners

  • Early Years Foundation Stage

LOGO Challenge 5 - Patch

Age 11 to 16
Challenge Level Yellow star
  • Problem
  • Teachers' Resources

You will need procedures for:
  • square
  • triangle
  • the patch itself.
How is the patch made?
You could decide to draw only some of the shapes as the rest (say the triangle at the centre will be defined by the squares around it.
How about colouring the squares in?
Here are the commands you will need:
SETFLOODCOLOR < n> - where n can be any number from 1 to 15
FILL - - - - - - - - - this fills the shape with your flood colour.

Note that you have to be inside a shape to fill it.

Here is an example of drawing an equilateral triangle - moving inside it to fill it the returning the turtle to the starting point. Notice also that you need to lift the pen to move it into the shape and put it down again:
to filltri

REPEAT 3 [FD 40 RT 120]
PU RT30 FD 2 PD
SETFLOODCOLOR 8
FILL
BK 2 LT 30
end
Example tiling


Example tiling

You may also like

First Forward Into Logo 1: Square Five

A Short introduction to using Logo. This is the first in a twelve part series.

LOGO Challenge 1 - Star Square

Can you use LOGO to create this star pattern made from squares. Only basic LOGO knowledge needed.

LOGO Challenge 10 - Circles

In LOGO circles can be described in terms of polygons with an infinite (in this case large number) of sides - investigate this definition further.

  • Tech help
  • Accessibility Statement
  • Sign up to our newsletter
  • Twitter X logo

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

University of Cambridge logo NRICH logo