### Count the Digits

In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?

### Spot Thirteen

Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?

### Observing the Sun and the Moon

How does the time of dawn and dusk vary? What about the Moon, how does that change from night to night? Is the Sun always the same? Gather data to help you explore these questions.

# National Flags

##### Stage: 2 Challenge Level:

We had some blogging - the most from one school yet, coming from Brynmill

School in Swansea, Wales. These and others can be viewed here at our Infinities

Randley School in England sent in a number of observations from their children, Olivia (maybe there were two Olivias?), Anna, Jamie and Harvi. Jamie's was as follows:

What I found out is that the Israeli flag had $6$ triangles, $1$ pentagon, but the star was actually $2$ triangles on the top of it. It has $8$ right angles and is mostly white. A bit of it is blue, the blue bit is $2$ rectangles(very long ones) the only colours in the israeli flag are blue and white.

Tom and Luke from Redgate School in England noticed things about the Jamaican flag as follows;

$4$ Triangles, $2$ acute, $2$ obtuse.
$2$ lines of symmetry.
No parrallel lines and no perpendicular ones either.

Yes, it is sometimes worthwhile mentioning what isn't there as well!

That's the flag that Year $5$ from St. John's found, it's the flag from Georgia, they examined it and emailed in saying;

I can see $5$ crosses and $5$ rectangles.I can see $2$ lines of symmetry. I can see $16$ right angles. I can see $4$ pairs of parallel lines. There are perpendicular lines. There are are $5$ dodecagons and $5$ rectangles.

So, well done all of you and when the Olympic Games start you may see more flags and notice more new things - let us know.