### There are 18 results

Broad Topics >

Patterns, Sequences and Structure > Arithmetic sequences

##### Age 5 to 7 Challenge Level:

Can you complete this jigsaw of the 100 square?

##### Age 7 to 11 Challenge Level:

Can you complete this jigsaw of the multiplication square?

##### Age 5 to 7 Challenge Level:

Buzzy Bee was building a honeycomb. She decorated the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?

##### Age 5 to 7 Challenge Level:

Which comes next in each pattern of dominoes?

##### Age 5 to 7 Challenge Level:

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 dominoes?

##### Age 5 to 7 Challenge Level:

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?

##### Age 7 to 11 Challenge Level:

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?

##### Age 5 to 7 Challenge Level:

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.

##### Age 5 to 7 Challenge Level:

Find the next two dominoes in these sequences.

##### Age 7 to 11 Challenge Level:

Reasoning about the number of matches needed to build squares that
share their sides.

##### Age 7 to 11 Challenge Level:

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?

##### Age 7 to 11 Challenge Level:

Compare the numbers of particular tiles in one or all of these
three designs, inspired by the floor tiles of a church in
Cambridge.

##### Age 5 to 11 Challenge Level:

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?

##### Age 7 to 11 Challenge Level:

These grids are filled according to some rules - can you complete
them?

##### Age 7 to 11 Challenge Level:

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?

##### Age 5 to 11 Challenge Level:

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?

##### Age 7 to 11 Challenge Level:

Investigate and explain the patterns that you see from recording
just the units digits of numbers in the times tables.

##### Age 7 to 14 Challenge Level:

In this investigation, we look at Pascal's Triangle in a slightly different way - rotated and with the top line of ones taken off.