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For younger learners

  • Early Years Foundation Stage

Exploring Problem Solving, Reasoning and Fluency in a Geometrical Context

These tasks, which are part of our Jaunts into Geometry Feature, offer geometrical contexts in which to explore the three aims of the primary National Curriculum for mathematics.

Inside Triangles

Age 5 to 7
Challenge Level Yellow star

How many different triangles can you draw on the dotty grid which each have one dot in the middle?

Seeing Squares

Age 5 to 11
Challenge Level Yellow star

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Poly Plug Rectangles

Age 5 to 11
Challenge Level Yellow star

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

Jig Shapes

Age 5 to 11
Challenge Level Yellow star

Can you each work out what shape you have part of on your card? What will the rest of it look like?

Nine-pin Triangles

Age 7 to 11
Challenge Level Yellow star

How many different triangles can you make on a circular pegboard that has nine pegs?

Brush Loads

Age 7 to 11
Challenge Level Yellow star

How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

Square Corners

Age 7 to 11
Challenge Level Yellow star

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

Stringy Quads

Age 7 to 11
Challenge Level Yellow starYellow star

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

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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.

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