14th February 2003 at 00:00
AGE 6 - 8

Cake plates

Put the plates in a triangle shape.

Put a different number of cakes on each plate, ranging from 1 cake to 6 cakes.

Make the numbers on each side of the triangle add up to 10.

Now do it so that each line of cakes adds up to 12

Age 11-14

Paving tiles

Mrs Tubbs bought some square paving tiles.

She bought less than 100 tiles, all the same size. She used all of them to pave two square areas of her garden.

Then she changed her mind.

She rearranged them all to make two different squares.

How many tiles did Mrs Tubbs buy?


Paving tiles

Mrs Tubbs bought 50, 65 or 85 paving tiles. These are the only numbers less than 150 that can be expressed as the sum of two squares in two different ways.




What if Mrs Tubbs bought up to 150 tiles?



145=12+122 =82+92

Subscribe to get access to the content on this page.

If you are already a TES/ TESS subscriber please log in with your username or email address to get full access to our back issues, CPD library and membership plus page.

Not a subscriber? Find out more about our subscription offers.
Subscribe now
Existing subscriber?
Enter subscription number


Get Tes online and delivered to your door – for less than the price of a coffee

Save 33% off the cover price with this great subscription offer. Every copy delivered to your door by first-class post, plus full access to Tes online and the Tes app for just £1.90 per week.
Subscribers also enjoy a range of fantastic offers and benefits worth over £270:

  • Discounts off Tes Institute courses
  • Access over 200,000 articles in the Tes online archive
  • Free Tastecard membership worth £79.99
  • Discounts with Zipcar,, Virgin Wines and other partners
Order today