Matchsticks

Reasoning about the number of matches needed to build squares that share their sides.

Doplication

We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?

The Great Tiling Count

Compare the numbers of particular tiles in one or all of these three designs, inspired by the floor tiles of a church in Cambridge.

Tables Without Tens

Stage: 2 Challenge Level:

Try looking along rows, up and down columns and perhaps along diagonals for patterns in the digits.
When you're finding repeats, you might want to imagine extending the rows to $11$ lots of the number, $12$ lots, $13$ lots etc.
When you're trying to explain the patterns, don't forget how you've made each row in the first place!