Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
If you have only four weights, where could you place them in order
to balance this equaliser?
Use the interactivities to complete these Venn diagrams.
Starting with the number 180, take away 9 again and again, joining up the dots as you go. Watch out - don't join all the dots!
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
Can you make a cycle of pairs that add to make a square number
using all the numbers in the box below, once and once only?
Can you complete this jigsaw of the multiplication square?
Work out how to light up the single light. What's the rule?
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
A and B are two interlocking cogwheels having p teeth and q teeth respectively. One tooth on B is painted red. Find the values of p and q for which the red tooth on B contacts every gap on the. . . .
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?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Mr McGregor has a magic potting shed. Overnight, the number of
plants in it doubles. He'd like to put the same number of plants in
each of three gardens, planting one garden each day. Can he do it?
Here is a chance to play a version of the classic Countdown Game.
Start by putting one million (1 000 000) into the display of your
calculator. Can you reduce this to 7 using just the 7 key and add,
subtract, multiply, divide and equals as many times as you like?
Choose a symbol to put into the number sentence.
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....?
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Hover your mouse over the counters to see which ones will be
removed. Click to remover them. The winner is the last one to
remove a counter. How you can make sure you win?
Ahmed has some wooden planks to use for three sides of a rabbit run
against the shed. What quadrilaterals would he be able to make with
the planks of different lengths?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Can you find all the different ways of lining up these Cuisenaire
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?
A card pairing game involving knowledge of simple ratio.
A game for 2 people that everybody knows. You can play with a
friend or online. If you play correctly you never lose!
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
A generic circular pegboard resource.
A train building game for 2 players.
Our 2008 Advent Calendar has a 'Making Maths' activity for every
day in the run-up to Christmas.
What are the coordinates of the coloured dots that mark out the
tangram? Try changing the position of the origin. What happens to
the coordinates now?
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
An interactive game for 1 person. You are given a rectangle with 50 squares on it. Roll the dice to get a percentage between 2 and 100. How many squares is this? Keep going until you get 100. . . .
A game for 2 people that can be played on line or with pens and paper. Combine your knowledege of coordinates with your skills of strategic thinking.
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
NRICH December 2006 advent calendar - a new tangram for each day in
the run-up to Christmas.
Train game for an adult and child. Who will be the first to make the train?
Cut four triangles from a square as shown in the picture. How many
different shapes can you make by fitting the four triangles back
An interactive activity for one to experiment with a tricky tessellation
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
Using angular.js to bind inputs to outputs
Find out how we can describe the "symmetries" of this triangle and
investigate some combinations of rotating and flipping it.
Can you coach your rowing eight to win?
Can you find a relationship between the number of dots on the
circle and the number of steps that will ensure that all points are
Can you fit the tangram pieces into the outline of the child walking home from school?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Can you fit the tangram pieces into the outlines of these clocks?