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For younger learners

  • Early Years Foundation Stage

Approaching Midnight Taking it Further

Age 7 to 14
  • Problem
  • Student Solutions


If you are fascinated by the structure of the Approaching Midnight game, you could look at what happens if you use numbers or counters instead of a clock.

Can you generalise the structure of this game?

What did you have to do to be able make connections between the clocks, counters and numbers?

What did you have to do to be able to generalise?

What was it about 'playing around' that helped you to generalise?


Let us know your thoughts by emailing us.

Try the ultimate Approaching Midnight challenges!

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Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

Drawing Polygons

I wonder which polygons we can draw on dotty paper...

Drawing Squares

Take a look at the video showing squares drawn on dotty grids...

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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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