Working systematically

problem

All Seated

Age

7 to 11

Challenge level

2 out of 3

Look carefully at the numbers. What do you notice? Can you make another square using the numbers 1 to 16, that displays the same properties?
problem

Chocoholics

Age

7 to 11

Challenge level

2 out of 3

George and Jim want to buy a chocolate bar. George needs 2p more and Jim need 50p more to buy it. How much is the chocolate bar?
problem

Rabbits in the Pen

Age

7 to 11

Challenge level

2 out of 3

Using the statements, can you work out how many of each type of rabbit there are in these pens?
problem

Shaping Up

Age

7 to 11

Challenge level

2 out of 3

Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?
problem

Winning the Lottery

Age

7 to 11

Challenge level

2 out of 3

Find out about the lottery that is played in a far-away land. What is the chance of winning?
problem

Button-Up Some More

Age

7 to 11

Challenge level

2 out of 3

How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?
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?
problem

Display Boards

Age

7 to 11

Challenge level

2 out of 3

Design an arrangement of display boards in the school hall which fits the requirements of different people.
problem

Dart Target

Age

7 to 11

Challenge level

3 out of 3

This task, written for the National Young Mathematicians' Award 2016, invites you to explore the different combinations of scores that you might get on these dart boards.
problem

Painting Possibilities

Age

7 to 11

Challenge level

3 out of 3

This task, written for the National Young Mathematicians' Award 2016, involves open-topped boxes made with interlocking cubes. Explore the number of units of paint that are needed to cover the boxes and the small cubes that would fit inside each one.