Working systematically

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

Order the Changes

Age

7 to 11

Challenge level

1 out of 3

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

1 out of 3

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

Calendar Sorting

Age

7 to 11

Challenge level

1 out of 3

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

1 out of 3

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

1 out of 3

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

Sums and Differences 2

Age

7 to 11

Challenge level

1 out of 3

Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?
game

First Connect Three for Two

Age

7 to 11

Challenge level

1 out of 3

First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.
problem

Folded Number Line

Age

7 to 11

Challenge level

1 out of 3

When I fold a 0-20 number line, I end up with 'stacks' of numbers on top of each other. These challenges involve varying the length of the number line and investigating the 'stack totals'.
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?