You may also like

Three Squares

What is the greatest number of squares you can make by overlapping three squares?

Two Dice

Find all the numbers that can be made by adding the dots on two dice.

Biscuit Decorations

Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?

Overlaps

Age 5 to 7
Challenge Level


If I have these two shapes:

yellow square, red equilateral triangle


and I overlap them a bit, I get this:

 

overlapped so that triangle is half covered by square

 


The overlapped part looks like this:

orange right angled triangle shape of overlap

 

Can you match these pairs of shapes with the shape you would get if you overlapped them?

 

pairs of shapes to match with shapes of overlap

 

What other interesting overlap shapes can you make using a square, a rectangle and an equilateral triangle?

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.
Copyright © 1997 - 2023. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project.