Comparing and ordering numbers
problem
In order
Age
7 to 11
Challenge level
Can you rank these quantities in order? You may need to find out
extra information or perform some experiments to justify your
rankings.
problem
The thousands game
Age
7 to 11
Challenge level
Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?
problem
Pros and cons
Age
14 to 16
Challenge level
If p is a positive integer and q is a negative integer, which of these expressions is the greatest?
problem
Greetings
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 many
such students are there?
problem
Twizzle's journey
Age
5 to 7
Challenge level
Twizzle, a female giraffe, needs transporting to another zoo. Which
route will give the fastest journey?
problem
Sets of four numbers
Age
7 to 11
Challenge level
There are ten children in Becky's group. Can you find a set of
numbers for each of them? Are there any other sets?
problem
Rachel's problem
Age
14 to 16
Challenge level
Is it true that $99^n$ has 2n digits and $999^n$ has 3n digits? Investigate!
problem
Writ large
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.
