My cousin was 24 years old on Friday April 5th in 1974. On what day
of the week was she born?
Can you find the chosen number from the grid using the clues?
On a digital 24 hour clock, at certain times, all the digits are
consecutive. How many times like this are there between midnight
and 7 a.m.?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?
Make your own double-sided magic square. But can you complete both
sides once you've made the pieces?
Can you replace the letters with numbers? Is there only one
solution in each case?
When newspaper pages get separated at home we have to try to sort
them out and get things in the correct order. How many ways can we
arrange these pages so that the numbering may be different?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
You have 4 red and 5 blue counters. How many ways can they be
placed on a 3 by 3 grid so that all the rows columns and diagonals
have an even number of red counters?
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
How many trains can you make which are the same length as Matt's, using rods that are identical?
How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?
The challenge here is to find as many routes as you can for a fence
to go so that this town is divided up into two halves, each with 8
Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?
If we had 16 light bars which digital numbers could we make? How
will you know you've found them all?
In a square in which the houses are evenly spaced, numbers 3 and 10
are opposite each other. What is the smallest and what is the
largest possible number of houses in the square?
Follow the clues to find the mystery number.
Put 10 counters in a row. Find a way to arrange the counters into
five pairs, evenly spaced in a row, in just 5 moves, using the
Place eight queens on an chessboard (an 8 by 8 grid) so that none
can capture any of the others.
On a digital clock showing 24 hour time, over a whole day, how many
times does a 5 appear? Is it the same number for a 12 hour clock
over a whole day?
What do the digits in the number fifteen add up to? How many other
numbers have digits with the same total but no zeros?
Investigate the different ways you could split up these rooms so
that you have double the number.
You cannot choose a selection of ice cream flavours that includes
totally what someone has already chosen. Have a go and find all the
different ways in which seven children can have ice cream.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?
What could the half time scores have been in these Olympic hockey
Place eight dots on this diagram, so that there are only two dots
on each straight line and only two dots on each circle.
In this maze of hexagons, you start in the centre at 0. The next
hexagon must be a multiple of 2 and the next a multiple of 5. What
are the possible paths you could take?
Move from the START to the FINISH by moving across or down to the
next square. Can you find a route to make these totals?
What is the date in February 2002 where the 8 digits are
palindromic if the date is written in the British way?
Stuart's watch loses two minutes every hour. Adam's watch gains one
minute every hour. Use the information to work out what time (the
real time) they arrived at the airport.
How many shapes can you build from three red and two green cubes? Can you use what you've found out to predict the number for four red and two green?
The pages of my calendar have got mixed up. Can you sort them out?
If you have three circular objects, you could arrange them so that
they are separate, touching, overlapping or inside each other. Can
you investigate all the different possibilities?
What two-digit numbers can you make with these two dice? What can't you make?
Use the numbers and symbols to make this number sentence correct. How many different ways can you find?
Try this matching game which will help you recognise different ways of saying the same time interval.
I like to walk along the cracks of the paving stones, but not the
outside edge of the path itself. How many different routes can you
find for me to take?
Ana and Ross looked in a trunk in the attic. They found old cloaks
and gowns, hats and masks. How many possible costumes could they
In this matching game, you have to decide how long different events take.
In how many ways can you stack these rods, following the rules?
How many triangles can you make on the 3 by 3 pegboard?
Systematically explore the range of symmetric designs that can be
created by shading parts of the motif below. Use normal square
lattice paper to record your results.
Have a go at balancing this equation. Can you find different ways of doing it?
In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
Can you put plus signs in so this is true? 1 2 3 4 5 6 7 8 9 = 99
How many ways can you do it?
How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.
The Vikings communicated in writing by making simple scratches on
wood or stones called runes. Can you work out how their code works
using the table of the alphabet?