Four of these clues are needed to find the chosen number on this
grid and four are true but do nothing to help in finding the
number. Can you sort out the clues and find the number?
Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?
Can you work out some different ways to balance this equation?
Can you find any perfect numbers? Read this article to find out more...
Look at three 'next door neighbours' amongst the counting numbers. Add them together. What do you notice?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Which pairs of cogs let the coloured tooth touch every tooth on the
other cog? Which pairs do not let this happen? Why?
For this challenge, you'll need to play Got It! Can you explain the
strategy for winning this game with any target?
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
Can you find the chosen number from the grid using the clues?
Follow the clues to find the mystery number.
A game that tests your understanding of remainders.
Have a go at balancing this equation. Can you find different ways of doing it?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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?
Can you complete this jigsaw of the multiplication square?
An investigation that gives you the opportunity to make and justify
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
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!
The discs for this game are kept in a flat square box with a square
hole for each disc. Use the information to find out how many discs
of each colour there are in the box.
Kimie and Sebastian were making sticks from interlocking cubes and
lining them up. Can they make their lines the same length? Can they
make any other lines?
Use the interactivities to complete these Venn diagrams.
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
How can you use just one weighing to find out which box contains
the lighter ten coins out of the ten boxes?
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?
Can you find just the right bubbles to hold your number?
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 any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?
A game for 2 or more people. Starting with 100, subratct a number from 1 to 9 from the total. You score for making an odd number, a number ending in 0 or a multiple of 6.
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
If you have only four weights, where could you place them in order
to balance this equaliser?
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?
How many trains can you make which are the same length as Matt's,
using rods that are identical?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
The planet of Vuvv has seven moons. Can you work out how long it is
between each super-eclipse?
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
Can you order the digits from 1-6 to make a number which is
divisible by 6 so when the last digit is removed it becomes a
5-figure number divisible by 5, and so on?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
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?
Can you work out the arrangement of the digits in the square so
that the given products are correct? The numbers 1 - 9 may be used
once and once only.
An environment which simulates working with Cuisenaire rods.
A game in which players take it in turns to choose a number. Can you block your opponent?
Can you predict when you'll be clapping and when you'll be clicking
if you start this rhythm? How about when a friend begins a new
rhythm at the same time?
Suppose we allow ourselves to use three numbers less than 10 and
multiply them together. How many different products can you find?
How do you know you've got them all?
If you count from 1 to 20 and clap more loudly on the numbers in
the two times table, as well as saying those numbers loudly, which
numbers will be loud?
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Complete the magic square using the numbers 1 to 25 once each. Each
row, column and diagonal adds up to 65.