Working systematically

problem

Arrangements

Age

7 to 11

Challenge level

Is it possible to place 2 counters on the 3 by 3 grid so that there is an even number of counters in every row and every column? How about if you have 3 counters or 4 counters or....?
problem

One to Fifteen

Age

7 to 11

Challenge level

Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
problem

Putting Two and Two Together

Age

7 to 11

Challenge level

In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?
problem

Tiling

Age

7 to 11

Challenge level

An investigation that gives you the opportunity to make and justify predictions.
problem

Cubes Here and There

Age

7 to 11

Challenge level

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

Order the Changes

Age

7 to 11

Challenge level

Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?
problem

Polydron

Age

7 to 11

Challenge level

This activity investigates how you might make squares and pentominoes from Polydron.
problem

Calendar Sorting

Age

7 to 11

Challenge level

The pages of my calendar have got mixed up. Can you sort them out?
problem

How Long Does It Take?

Age

7 to 11

Challenge level

How long does it take to brush your teeth? Can you find the matching length of time?
problem

Sums and Differences 1

Age

7 to 11

Challenge level

This challenge focuses on finding the sum and difference of pairs of two-digit numbers.