There is a long tradition of creating mazes throughout history and across the world. This article gives details of mazes you can visit and those that you can tackle on paper.
A particular technique for solving Sudoku puzzles, known as "naked pair", is explained in this easy-to-read article.
This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?
If these elves wear a different outfit every day for as many days
as possible, how many days can their fun last?
Can you use the information to find out which cards I have used?
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
This tricky challenge asks you to find ways of going across rectangles, going through exactly ten squares.
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?
Can you find which shapes you need to put into the grid to make the
totals at the end of each row and the bottom of each column?
Make your own double-sided magic square. But can you complete both
sides once you've made the pieces?
Use the information to describe these marbles. What colours must be
on marbles that sparkle when rolling but are dark inside?
A game for 2 people. Take turns placing a counter on the star. You
win when you have completed a line of 3 in your colour.
Seven friends went to a fun fair with lots of scary rides. They
decided to pair up for rides until each friend had ridden once with
each of the others. What was the total number rides?
What do you notice about the date 03.06.09? Or 08.01.09? This
challenge invites you to investigate some interesting dates
Can you see who the gold medal winner is? What about the silver medal winner and the bronze medal winner?
A package contains a set of resources designed to develop
students’ mathematical thinking. This package places a
particular emphasis on “being systematic” and is
designed to meet. . . .
Use the clues to work out which cities Mohamed, Sheng, Tanya and
Bharat live in.
Follow the clues to find the mystery number.
Make a pair of cubes that can be moved to show all the days of the
month from the 1st to the 31st.
Try this matching game which will help you recognise different ways of saying the same time interval.
First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.
In this matching game, you have to decide how long different events take.
Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?
Tim had nine cards each with a different number from 1 to 9 on it.
How could he have put them into three piles so that the total in
each pile was 15?
Start with three pairs of socks. Now mix them up so that no
mismatched pair is the same as another mismatched pair. Is there
more than one way to do it?
This practical challenge invites you to investigate the different
squares you can make on a square geoboard or pegboard.
Is it possible to place 2 counters on the 3 by 3 grid so that there
is an even number of counters in every row and every column? How
about if you have 3 counters or 4 counters or....?
Use these head, body and leg pieces to make Robot Monsters which
are different heights.
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?
Lolla bought a balloon at the circus. She gave the clown six coins
to pay for it. What could Lolla have paid for the balloon?
Zumf makes spectacles for the residents of the planet Zargon, who
have either 3 eyes or 4 eyes. How many lenses will Zumf need to
make all the different orders for 9 families?
If we had 16 light bars which digital numbers could we make? How
will you know you've found them all?
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?
Arrange eight of the numbers between 1 and 9 in the Polo Square
below so that each side adds to the same total.
El Crico the cricket has to cross a square patio to get home. He
can jump the length of one tile, two tiles and three tiles. Can you
find a path that would get El Crico home in three jumps?
These are the faces of Will, Lil, Bill, Phil and Jill. Use the
clues to work out which name goes with each face.
How many different shaped boxes can you design for 36 sweets in one
layer? Can you arrange the sweets so that no sweets of the same
colour are next to each other in any direction?
In how many ways could Mrs Beeswax put ten coins into her three
puddings so that each pudding ended up with at least two coins?
An investigation that gives you the opportunity to make and justify
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?
You have two egg timers. One takes 4 minutes exactly to empty and
the other takes 7 minutes. What times in whole minutes can you
measure and how?
There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and
lollypops for 7p in the sweet shop. What could each of the children
buy with their money?
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
Look carefully at the numbers. What do you notice? Can you make
another square using the numbers 1 to 16, that displays the same
When you throw two regular, six-faced dice you have more chance of getting one particular result than any other. What result would that be? Why is this?
How many trains can you make which are the same length as Matt's, using rods that are identical?
Can you find all the different ways of lining up these Cuisenaire
Using the statements, can you work out how many of each type of
rabbit there are in these pens?
Can you help the children find the two triangles which have the
lengths of two sides numerically equal to their areas?