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For younger learners

  • Early Years Foundation Stage

Surprised by Shapes

Surprised by Shapes


For these tasks, all you need to know is a little about area and perimeter.
Seemingly simple shapes can lead to intriguing questions and surprising results...


Triangles in a Square 
Age 11 to 14
Challenge Level Yellow star

What are the possible areas of triangles drawn in a square?

Perimeter Challenge 
Age 11 to 14
Challenge Level Yellow star

Can you deduce the perimeters of the shapes from the information given?

Quadrilaterals in a Square 
Age 11 to 14
Challenge Level Yellow starYellow star

What's special about the area of quadrilaterals drawn in a square?

Garden Shed 
Age 11 to 14
Challenge Level Yellow starYellow star

Can you minimise the amount of wood needed to build the roof of my garden shed?

Related

  • Pythagoras' Theorem & Trigonometry
  • Perimeter, Area and Volume - Stage 3
  • Perimeter, Area and Volume - Stage 4

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Patterns in Number Sequences

These resources are designed to get you thinking about number sequences and patterns.

Secondary Student Latest

Latest list for the Lower Secondary Student page

Curriculum Topics

Problems organised by curriculum topic for lower secondary students.

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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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