Exploring and noticing

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.
problem

Cubes Here and There

Age

7 to 11

Challenge level

1 out of 3

How many shapes can you build from three red and two green cubes? Can you use what you've found out to predict the number for four red and two green?
problem

The Numbers Give the Design

Age

7 to 11

Challenge level

1 out of 3

Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.
problem

Sending and Receiving 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

Sports Equipment

Age

7 to 11

Challenge level

1 out of 3

If these balls are put on a line with each ball touching the one in front and the one behind, which arrangement makes the shortest line of balls?
problem

Eye View

Age

7 to 11

Challenge level

1 out of 3

Why does the tower look a different size in each of these pictures?
problem

Fencing

Age

7 to 11

Challenge level

1 out of 3

Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
problem

Sticky Dice

Age

7 to 11

Challenge level

1 out of 3

Throughout these challenges, the touching faces of any adjacent dice must have the same number. Can you find a way of making the total on the top come to each number from 11 to 18 inclusive?
problem

Move Those Halves

Age

7 to 11

Challenge level

2 out of 3

For this task, you'll need an A4 sheet and two A5 transparent sheets. Decide on a way of arranging the A5 sheets on top of the A4 sheet and explore ...