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?
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?
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?
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?
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?
Compare the numbers of particular tiles in one or all of these
three designs, inspired by the floor tiles of a church in
Can you complete this jigsaw of the multiplication square?
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.
Investigate and explain the patterns that you see from recording
just the units digits of numbers in the times tables.
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?
Find the next two dominoes in these sequences.
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?
Which comes next in each pattern of dominoes?
In this investigation, we look at Pascal's Triangle in a slightly different way - rotated and with the top line of ones taken off.
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
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
Reasoning about the number of matches needed to build squares that
share their sides.
Can you complete this jigsaw of the 100 square?