Exploring and noticing

problem

What Two ...?

Age

7 to 11

Challenge level

2 out of 3

56 406 is the product of two consecutive numbers. What are these two numbers?
problem

Arranging the Tables

Age

7 to 11

Challenge level

2 out of 3

There are 44 people coming to a dinner party. There are 15 square tables that seat 4 people. Find a way to seat the 44 people using all 15 tables, with no empty places.
problem

Pizza Cut

Age

7 to 11

Challenge level

2 out of 3

Using only six straight cuts, find a way to make as many pieces of pizza as possible. (The pieces can be different sizes and shapes).
problem

1, 2, 3, 4, 5

Age

7 to 11

Challenge level

2 out of 3

Using the numbers 1, 2, 3, 4 and 5 once and only once, and the operations x and ÷ once and only once, what is the smallest whole number you can make?
problem

Magic Triangle

Age

7 to 11

Challenge level

2 out of 3

Place the digits 1 to 9 into the circles so that each side of the triangle adds to the same total.
problem

The Pied Piper of Hamelin

Age

7 to 11

Challenge level

2 out of 3

This problem is based on the story of the Pied Piper of Hamelin. Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
problem

Beads

Age

7 to 11

Challenge level

2 out of 3

Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
problem

A Numbered Route

Age

7 to 11

Challenge level

2 out of 3

Can you draw a continuous line through 16 numbers on this grid so that the total of the numbers you pass through is as high as possible?
problem

Magic Matrix

Age

7 to 11

Challenge level

2 out of 3

Find out why these matrices are magic. Can you work out how they were made? Can you make your own Magic Matrix?
game

Daisy

Age

7 to 11

Challenge level

2 out of 3

In this game for two players, take it in turns to shade one petal, or two petals next to each other. Is it better to go first or second?