These squares have been made from Cuisenaire rods. Can you describe
the pattern? What would the next square look like?
Cut differently-sized square corners from a square piece of paper
to make boxes without lids. Do they all have the same volume?
Can you use this information to work out Charlie's house number?
to Elora, Thomas, Sarah and Katie at Ysgol Gynradd Dolgellau for
their solution. Again, they took a very logical approach.
We estimated an age for
Augustus to start and then tried different multiplying sums until
we got to the answer.
$40 \times 40=1600$
$50 \times 50=2500$
$45 \times 45=2025$
$44 \times 44=1936$
$43 \times 43=1849$
We thought that if he was
$43$ in 1849 he was born in 1806 and was $65$ when he died. We
thought that was reasonable.
The only way we think that
someone living now would be able to say it is if someone who was
born in 1980 could say in 2025 that they are $45$. A person who was
$44$ in 1936 would be $109$ now and the oldest person we know of is
at Loretto Junior School in Musselburgh, East Lothian also worked
on this problem and used a similar method. They said:
$10 \times 10 = 100$AD so
he would have been born in 90 AD
Then $70 \times 70 =4900$
AD so he would be born in 4830 AD
Then $50 \times 50 = 2500$
AD so he was born in 2450 AD
Then $40 \times 40 = 1600$
AD so he was born in 1560AD
Then $43 \times 43 = 1849$
So he was born in 1806. If
he was born in 1806 then de Morgan would be $65$ when he died in
If you were $45$ in 2025
you would be born in 1980 and so you would be $30$ now like Euan's