Working systematically

problem
Greater than or less than?

Age

7 to 11

Challenge level

Use the numbers and symbols to make this number sentence correct. How many different ways can you find?
game

First connect three for two

Age

7 to 11

Challenge level

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
A4 fraction subtraction

Age

7 to 11

Challenge level

This task offers opportunities to subtract fractions using A4 paper.
problem
Folded number line

Age

7 to 11

Challenge level

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

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?
problem
Rearranged rectangle

Age

7 to 11

Challenge level

How many different rectangles can you make using this set of rods?
problem
Five more coins

Age

7 to 11

Challenge level

Could Ben have any amount of money between 5p and £2 in his pocket if he has five coins?
problem
Seeing parallelograms

Age

7 to 11

Challenge level

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.
problem
Digit discovery

Age

7 to 11

Challenge level

Here is an interesting property about two sets of digits. Can you work out what the digits might be?
problem
Open boxes

Age

7 to 11

Challenge level

Can you work out how many cubes were used to make this open box? What size of open box could you make if you had 112 cubes?