From a group of any 4 students in a class of 30, each has exchanged
Christmas cards with the other three. Show that some students have
exchanged cards with all the other students in the class. How. . . .
How many ways can you write the word EUROMATHS by starting at the
top left hand corner and taking the next letter by stepping one
step down or one step to the right in a 5x5 array?
Suppose you had to begin the never ending task of writing out the
natural numbers: 1, 2, 3, 4, 5.... and so on. What would be the
1000th digit you would write down.
Can you each work out the number on your card? What do you notice?
How could you sort the cards?
Can you arrange these numbers into 7 subsets, each of three
numbers, so that when the numbers in each are added together, they
make seven consecutive numbers?
Complete these two jigsaws then put one on top of the other. What
happens when you add the 'touching' numbers? What happens when you
change the position of the jigsaws?
A number card game for 2-6 players.
Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your oponent.
In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?
Each child in Class 3 took four numbers out of the bag. Who had
made the highest even number?
Can you draw a continuous line through 16 numbers on this grid so
that the total of the numbers you pass through is as high as
There are lots of ideas to explore in these sequences of ordered
Use the numbers and symbols to make this number sentence correct. How many different ways can you find?
Dicey Operations for an adult and child. Can you get close to 1000 than your partner?
Place this "worm" on the 100 square and find the total of the four
squares it covers. Keeping its head in the same place, what other
totals can you make?
Use the fraction wall to compare the size of these fractions -
you'll be amazed how it helps!
Pick two rods of different colours. Given an unlimited supply of
rods of each of the two colours, how can we work out what fraction
the shorter rod is of the longer one?
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
There are six numbers written in five different scripts. Can you sort out which is which?
How can you arrange these 10 matches in four piles so that when you
move one match from three of the piles into the fourth, you end up
with the same arrangement?
Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.
Can you put the numbers from 1 to 15 on the circles so that no
consecutive numbers lie anywhere along a continuous straight line?
What is the largest number you can make using the three digits 2, 3
and 4 in any way you like, using any operations you like? You can
only use each digit once.
Can you complete this jigsaw of the multiplication square?
Investigate what happens when you add house numbers along a street
in different ways.
Consider all of the five digit numbers which we can form using only
the digits 2, 4, 6 and 8. If these numbers are arranged in
ascending order, what is the 512th number?
There are ten children in Becky's group. Can you find a set of
numbers for each of them? Are there any other sets?
Look at some of the results from the Olympic Games in the past. How do you compare if you try some similar activities?
Look at the changes in results on some of the athletics track events at the Olympic Games in 1908 and 1948. Compare the results for 2012.
Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?
A political commentator summed up an election result. Given that
there were just four candidates and that the figures quoted were
exact find the number of votes polled for each candidate.
Use the interactivities to complete these Venn diagrams.
Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?
These sixteen children are standing in four lines of four, one
behind the other. They are each holding a card with a number on it.
Can you work out the missing numbers?
Find the exact difference between the largest ball and the smallest
ball on the Hepta Tree and then use this to work out the MAGIC
There are nasty versions of this dice game but we'll start with the nice ones...
These interactive dominoes can be dragged around the screen.
Who said that adding, subtracting, multiplying and dividing
couldn't be fun?