For this challenge, you'll need to play Got It! Can you explain the strategy for winning this game with any target?
Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?
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?
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.
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
In this problem we are looking at sets of parallel sticks that
cross each other. What is the least number of crossings you can
make? And the greatest?
Look at three 'next door neighbours' amongst the counting numbers. Add them together. What do you notice?
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?
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
Imagine a wheel with different markings painted on it at regular
intervals. Can you predict the colour of the 18th mark? The 100th
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.
A game for 2 people using a pack of cards Turn over 2 cards and try
to make an odd number or a multiple of 3.
Can you complete this jigsaw of the multiplication square?
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?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
Find the squares that Froggie skips onto to get to the pumpkin
patch. She starts on 3 and finishes on 30, but she lands only on a
square that has a number 3 more than the square she skips from.
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!
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?
Got It game for an adult and child. How can you play so that you know you will always win?
Factor track is not a race but a game of skill. The idea is to go round the track in as few moves as possible, keeping to the rules.
A game that tests your understanding of remainders.
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
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?
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
If you have only four weights, where could you place them in order
to balance this equaliser?
How many trains can you make which are the same length as Matt's, using rods that are identical?
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?
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
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?
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
Can you find just the right bubbles to hold your number?
Help share out the biscuits the children have made.
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
Find the words hidden inside each of the circles by counting around
a certain number of spaces to find each letter in turn.
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
Use the interactivity to create some steady rhythms. How could you
create a rhythm which sounds the same forwards as it does
These red, yellow and blue spinners were each spun 45 times in
total. Can you work out which numbers are on each spinner?
56 406 is the product of two consecutive numbers. What are these
An environment which simulates working with Cuisenaire rods.
Pat counts her sweets in different groups and both times she has
some left over. How many sweets could she have had?
How can you use just one weighing to find out which box contains
the lighter ten coins out of the ten boxes?
Is it possible to draw a 5-pointed star without taking your pencil
off the paper? Is it possible to draw a 6-pointed star in the same
way without taking your pen off?
On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?
This article for teachers describes how number arrays can be a
useful reprentation for many number concepts.
An investigation that gives you the opportunity to make and justify
Does a graph of the triangular numbers cross a graph of the six
times table? If so, where? Will a graph of the square numbers cross
the times table too?
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?