Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
Ben and his mum are planting garlic. Use the interactivity to help
you find out how many cloves of garlic they might have had.
What is the lowest number which always leaves a remainder of 1 when
divided by each of the numbers from 2 to 10?
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?
Investigate the smallest number of moves it takes to turn these
mats upside-down if you can only turn exactly three at a time.
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?
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!
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.
Can you find the chosen number from the grid using the clues?
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.
Help share out the biscuits the children have made.
Becky created a number plumber which multiplies by 5 and subtracts
4. What do you notice about the numbers that it produces? Can you
explain your findings?
Got It game for an adult and child. How can you play so that you know you will always win?
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?
If you have only four weights, where could you place them in order
to balance this equaliser?
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?
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?
How many trains can you make which are the same length as Matt's, using rods that are identical?
This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?
Arrange the four number cards on the grid, according to the rules,
to make a diagonal, vertical or horizontal line.
Can you work out how to balance this equaliser? You can put more
than one weight on a hook.
For this challenge, you'll need to play Got It! Can you explain the strategy for winning this game with any target?
56 406 is the product of two consecutive numbers. What are these
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 people using a pack of cards Turn over 2 cards and try
to make an odd number or a multiple of 3.
A game in which players take it in turns to choose a number. Can you block your opponent?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Use the interactivity to sort these numbers into sets. Can you give
each set a name?
Can you see how these factor-multiple chains work? Find the chain
which contains the smallest possible numbers. How about the largest
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
Follow the clues to find the mystery number.
An environment which simulates working with Cuisenaire rods.
Yasmin and Zach have some bears to share. Which numbers of bears
can they share so that there are none left over?
Can you place the numbers from 1 to 10 in the grid?
Can you find just the right bubbles to hold your number?
An investigation that gives you the opportunity to make and justify
Use this grid to shade the numbers in the way described. Which
numbers do you have left? Do you know what they are called?
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?
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?
This article for teachers describes how number arrays can be a
useful reprentation for many number concepts.
Pat counts her sweets in different groups and both times she has
some left over. How many sweets could she have had?
A game that tests your understanding of remainders.
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
Norrie sees two lights flash at the same time, then one of them
flashes every 4th second, and the other flashes every 5th second.
How many times do they flash together during a whole minute?
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?
Have a go at balancing this equation. Can you find different ways of doing it?
The planet of Vuvv has seven moons. Can you work out how long it is
between each super-eclipse?