Maths Week Scotland 2026 - Challenge 5 - Painting the flats

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Challenge 5 - Painting the flats

Challenge 5 is all about fractions.

Maths teacher Chris Smith and pupils from Grange Academy are here to explain.

The Maths Week Scotland Daily Challenges have been set by the Scottish Mathematical Council.

So here's the challenge:

This problem is all about fractions.

The Hillside Estate on the edge of the city consists of eight tower blocks.

Each tower block has nine floors and each floor has ten flats.

The council painters have just arrived and they’re wondering just how many flats need to be painted this year.

Two in five of the flats are privately owned, so they will not be painted by the council.

Of the rest, one in four flats will be left to next year.

How many flats are to be painted by the council this year?

Image of the 8 tower blocks with the painters and their van in front of them.

Need a hint?

  • You could draw this out or use blocks to help you visualise this problem.
  • It might help to work through this in separate stages.
  • Think about how you work with fractions.

Maths problem solving. collection

Try out Maths Week Scotland challenges from previous years.

Maths problem solving

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Find more maths challenges and activities at the Maths Week Scotland website.

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