If the odd numbers on two dice are made negative, which of the totals cannot be achieved?

Tony and Tina can't work out which of them owes what to the other. Can you?

Tick's watch is slow and Tock's watch is fast. How long is it before their watches differ by an hour?

In how many ways can you give change for a ten pence piece?

Gill and I went out to lunch. We agreed to split the total cost equally. How much did I owe Gill?

Arrange these three famous mathematicians in order with the shortest-lived first.

Jack does a 20-question quiz. How many questions didn't he attempt?

The sum of each column and row in this grid give the totals as shown. What number goes in the starred square?

When is the next time that Brian's age will be the reverse of his father's age?

What were the maximum and minimum temperatures recorded in my max/min thermometer?

Can you find numbers between 100 and 999 that have a middle digit equal to the sum of the other two digits?

Alberta won't reveal her age. Can you work it out from these clues?

Can you find a number and its double using the digits $1$ to $9$ only once each?

David listed ten consecutive numbers and removed one of them. Which number did he remove?

Sara makes a list of the whole numbers that do not contain any 9s. What is the 300th number on her list?

Itchy the dog has a million fleas. How many fleas might his shampoo kill?

Can you find squares within a number grid whose entries add up to an even total?

Let N be the smallest positive integer whose digits add up to 2015. What is the sum of the digits of N+1?

Can you work out the value of P+Q+R in the multiplication shown?

How many positive integers $n$ exist for which $n^2$ has the same number of digits as $n^3$?

If p is a positive integer and q is a negative integer, which of these expressions is the greatest?

Create 24 numbers from four digits. Why is 101 always a factor of their sum?