### There are 15 results

Broad Topics >

Numbers and the Number System > Comparing and Ordering numbers

##### Age 14 to 16 Challenge Level:

Is it true that $99^n$ has 2n digits and $999^n$ has 3n digits? Investigate!

##### Age 11 to 14 Challenge Level:

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.

##### Age 11 to 14 Challenge Level:

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?

##### Age 11 to 14 Challenge Level:

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. . . .

##### Age 11 to 14 Challenge Level:

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.

##### Age 14 to 16 Challenge Level:

All the words in the Snowman language consist of exactly seven
letters formed from the letters {s, no, wm, an). How many words are
there in the Snowman language?

##### Age 11 to 14 Challenge Level:

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?

##### Age 11 to 14 Challenge Level:

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?

##### Age 7 to 14 Challenge Level:

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

##### Age 11 to 14 Challenge Level:

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.

##### Age 11 to 14 Challenge Level:

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?

##### Age 7 to 14 Challenge Level:

There are nasty versions of this dice game but we'll start with the nice ones...

##### Age 11 to 14 Challenge Level:

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

##### Age 11 to 14 Challenge Level:

There are lots of ideas to explore in these sequences of ordered fractions.

##### Age 7 to 14 Challenge Level:

Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.