Exploring and noticing

problem

The Great Tiling Count

Age

7 to 11

Challenge level

1 out of 3

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

Great Squares

Age

7 to 11

Challenge level

1 out of 3

Investigate how this pattern of squares continues. You could measure lengths, areas and angles.
problem

It's All About 64

Age

7 to 11

Challenge level

1 out of 3

Write the numbers up to 64 in an interesting way so that the shape they make at the end is interesting, different, more exciting ... than just a square.
problem

Calendar Patterns

Age

7 to 11

Challenge level

1 out of 3

In this section from a calendar, put a square box around the 1st, 2nd, 8th and 9th. Add all the pairs of numbers. What do you notice about the answers?
problem

The Clockmaker's Birthday Cake

Age

7 to 11

Challenge level

1 out of 3

The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?
problem

Number Tracks

Age

7 to 11

Challenge level

1 out of 3

Ben's class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?
problem

Polo Square

Age

7 to 11

Challenge level

1 out of 3

Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.
problem

The Thousands Game

Age

7 to 11

Challenge level

1 out of 3

Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?
problem

Tables Without Tens

Age

7 to 11

Challenge level

1 out of 3

Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables.
problem

Tiling

Age

7 to 11

Challenge level

1 out of 3

An investigation that gives you the opportunity to make and justify predictions.