Exploring and noticing

problem

Junior Frogs

Age

5 to 11

Challenge level

2 out of 3

Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
game

Sliding Game

Age

7 to 11

Challenge level

1 out of 3

A shunting puzzle for 1 person. Swap the positions of the counters at the top and bottom of the board.
problem

Sending Cards

Age

7 to 11

Challenge level

1 out of 3

This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. How many would be sent if there were five children? Six?
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.