If there is a ring of six chairs and thirty children must either
sit on a chair or stand behind one, how many children will be
behind each chair?
Find the squares that Froggie skips onto to get to the pumpkin
patch. She starts on 3 and finishes on 30, but she lands only on a
square that has a number 3 more than the square she skips from.
In this investigation, you are challenged to make mobile phone
numbers which are easy to remember. What happens if you make a
sequence adding 2 each time?
These alphabet bricks are painted in a special way. A is on one
brick, B on two bricks, and so on. How many bricks will be painted
by the time they have got to other letters of the alphabet?
Susie took cherries out of a bowl by following a certain pattern.
How many cherries had there been in the bowl to start with if she
was left with 14 single ones?
We can arrange dots in a similar way to the 5 on a dice and they
usually sit quite well into a rectangular shape. How many
altogether in this 3 by 5? What happens for other sizes?
Buzzy Bee was building a honeycomb. She decided to decorate the
honeycomb with a pattern using numbers. Can you discover Buzzy's
pattern and fill in the empty cells for her?
Can you complete this jigsaw of the multiplication square?
Katie and Will have some balloons. Will's balloon burst at exactly
the same size as Katie's at the beginning of a puff. How many puffs
had Will done before his balloon burst?
Find the next two dominoes in these sequences.
Compare the numbers of particular tiles in one or all of these
three designs, inspired by the floor tiles of a church in
Which comes next in each pattern of dominoes?
Can you work out the domino pieces which would go in the middle in
each case to complete the pattern of these eight sets of 3
Investigate and explain the patterns that you see from recording
just the units digits of numbers in the times tables.
Can you complete this jigsaw of the 100 square?
Reasoning about the number of matches needed to build squares that
share their sides.
Cellular is an animation that helps you make geometric sequences
composed of square cells.
These grids are filled according to some rules - can you complete
In this investigation, we look at Pascal's Triangle in a slightly different way - rotated and with the top line of ones taken off.