Exploring and noticing

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.
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?