A messenger runs from the rear to the head of a marching column and back. When he gets back, the rear is where the head was when he set off. What is the ratio of his speed to that of the column?

Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.

Freddie Manners, of Packwood Haugh School in Shropshire solved an alphanumeric without using the extra information supplied and this article explains his reasoning.

There are two sets of numbers. The second is the result of the first after an increase by a constant percentage. How can you find that percentage if one set of numbers is in code?

Can you replace the letters with numbers? Is there only one solution in each case?

Have a look at this data from the RSPB 2011 Birdwatch. What can you say about the data?

Learn how to use lookup functions to create exciting interactive Excel spreadsheets.

Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

Use the differences to find the solution to this Sudoku.

Can you solve this 'KANGAROO' alphanumeric subtraction?

It is possible to identify a particular card out of a pack of 15 with the use of some mathematical reasoning. What is this reasoning and can it be applied to other numbers of cards?

This task offers opportunities to subtract fractions using A4 paper.

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

Use Excel to practise adding and subtracting fractions.

Given the products of diagonally opposite cells - can you complete this Sudoku?

Complete the magic square using the numbers 1 to 25 once each. Each row, column and diagonal adds up to 65.

What do you notice about these squares of numbers? What is the same? What is different?

The clues for this Sudoku are the product of the numbers in adjacent squares.

Solve this Sudoku puzzle whose clues are in the form of sums of the numbers which should appear in diagonal opposite cells.

Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?

A pair of Sudoku puzzles that together lead to a complete solution.

How many solutions can you find to this sum? Each of the different letters stands for a different number.

The puzzle can be solved with the help of small clue-numbers which are either placed on the border lines between selected pairs of neighbouring squares of the grid or placed after slash marks on. . . .

This Sudoku puzzle can be solved with the help of small clue-numbers on the border lines between pairs of neighbouring squares of the grid.

Rather than using the numbers 1-9, this sudoku uses the nine different letters used to make the words "Advent Calendar".

Arrange three 1s, three 2s and three 3s in this square so that every row, column and diagonal adds to the same total.

Hover your mouse over the counters to see which ones will be removed. Click to remove them. The winner is the last one to remove a counter. How you can make sure you win?

Solve the equations to identify the clue numbers in this Sudoku problem.

Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?

An environment which simulates working with Cuisenaire rods.

Dotty Six is a simple dice game that you can adapt in many ways.

In how many ways can a pound (value 100 pence) be changed into some combination of 1, 2, 5, 10, 20 and 50 pence coins?

There are lots of different methods to find out what the shapes are worth - how many can you find?

The challenge is to find the values of the variables if you are to solve this Sudoku.

You are given the Lowest Common Multiples of sets of digits. Find the digits and then solve the Sudoku.

The article provides a summary of the elementary ideas about vectors usually met in school mathematics, describes what vectors are and how to add, subtract and multiply them by scalars and indicates. . . .

An environment which simulates working with Cuisenaire rods.

Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: x2 and -5. What do you think?

Follow the directions for circling numbers in the matrix. Add all the circled numbers together. Note your answer. Try again with a different starting number. What do you notice?

Have a go at this game which has been inspired by the Big Internet Math-Off 2019. Can you gain more columns of lily pads than your opponent?

Given the products of adjacent cells, can you complete this Sudoku?

Can you create a Latin Square from multiples of a six digit number?

The puzzle can be solved by finding the values of the unknown digits (all indicated by asterisks) in the squares of the $9\times9$ grid.

Here is a chance to play a version of the classic Countdown Game.