Exploring and noticing

problem
Back in time

Age

14 to 16

Challenge level

How many times a day does a 24 hour digital clock look the same when reflected in a horizontal line?
problem
Halloween day

Age

11 to 14

Challenge level

One year there were exactly four Tuesdays and four Fridays in October. On what day of the week was Halloween.
problem
Collatz-ish

Age

14 to 16

Challenge level

A sequence is generated using these rules. For which values of n is the nth term equal to n?
problem
Take a leaf

Age

11 to 14

Challenge level

An examination paper is made from five pieces of paper. What is the sum of the other page numbers that appear on the same sheet as page 5?
problem
Fencing

Age

7 to 11

Challenge level

Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
game

Daisy

Age

7 to 11

Challenge level

In this game for two players, take it in turns to shade one petal, or two petals next to each other. Is it better to go first or second?
article
Pattern sniffing

This article for primary teachers outlines how we can encourage children to create, identify, extend and explain number patterns and why being able to do so is useful.
problem
Domino patterns

Age

5 to 7

Challenge level

What patterns can you make with a set of dominoes?
problem
Domino sets

Age

7 to 11

Challenge level

How do you know if your set of dominoes is complete?
game
Favourite

Up, down, flying around

Age

11 to 14

Challenge level

Play this game to learn about adding and subtracting positive and negative numbers