Challenge Level

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Challenge Level

Can you work out what step size to take to ensure you visit all the dots on the circle?

Challenge Level

A game in which players take it in turns to choose a number. Can you block your opponent?

Challenge Level

A collection of resources to support work on Factors and Multiples at Secondary level.

Challenge Level

Factors and Multiples game for an adult and child. How can you make sure you win this game?

Challenge Level

You'll need to know your number properties to win a game of Statement Snap...

Challenge Level

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

Challenge Level

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

Challenge Level

What can you say about the values of n that make $7^n + 3^n$ a multiple of 10? Are there other pairs of integers between 1 and 10 which have similar properties?

Challenge Level

A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

Challenge Level

Follow this recipe for sieving numbers and see what interesting patterns emerge.

Challenge Level

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.

Challenge Level

A and B are two interlocking cogwheels having p teeth and q teeth respectively. One tooth on B is painted red. Find the values of p and q for which the red tooth on B contacts every gap on the. . . .

Challenge Level

A student in a maths class was trying to get some information from her teacher. She was given some clues and then the teacher ended by saying, "Well, how old are they?"

Challenge Level

A three digit number abc is always divisible by 7 when 2a+3b+c is divisible by 7. Why?

Challenge Level

Can you complete this jigsaw of the multiplication square?

Challenge Level

Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?

Challenge Level

One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?

Challenge Level

This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?

Can you find any perfect numbers? Read this article to find out more...

Challenge Level

A game for 2 or more people. Starting with 100, subratct a number from 1 to 9 from the total. You score for making an odd number, a number ending in 0 or a multiple of 6.

Challenge Level

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

Challenge Level

Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...

Challenge Level

Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

Challenge Level

Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.

Challenge Level

Can you work out what size grid you need to read our secret message?

Challenge Level

Find the words hidden inside each of the circles by counting around a certain number of spaces to find each letter in turn.

Challenge Level

Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?

Challenge Level

Is there an efficient way to work out how many factors a large number has?

This article for primary teachers outlines why developing an intuitive 'feel' for numbers matters, and how our activities focusing on factors and multiples can help.

Challenge Level

Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

Challenge Level

56 406 is the product of two consecutive numbers. What are these two numbers?

Challenge Level

Complete the following expressions so that each one gives a four digit number as the product of two two digit numbers and uses the digits 1 to 8 once and only once.

Challenge Level

Great Granddad is very proud of his telegram from the Queen congratulating him on his hundredth birthday and he has friends who are even older than he is... When was he born?

Challenge Level

Can you explain the strategy for winning this game with any target?

Challenge Level

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

Challenge Level

Play this game and see if you can figure out the computer's chosen number.

Challenge Level

Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?

Challenge Level

List any 3 numbers. It is always possible to find a subset of adjacent numbers that add up to a multiple of 3. Can you explain why and prove it?

Challenge Level

Got It game for an adult and child. How can you play so that you know you will always win?

Challenge Level

Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?

Challenge Level

Each clue in this Sudoku is the product of the two numbers in adjacent cells.

Challenge Level

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

Challenge Level

What is the smallest number of answers you need to reveal in order to work out the missing headers?

Challenge Level

I am thinking of three sets of numbers less than 101. Can you find all the numbers in each set from these clues?

Challenge Level

I am thinking of three sets of numbers less than 101. They are the red set, the green set and the blue set. Can you find all the numbers in the sets from these clues?

Challenge Level

Watch the video of this game being played. Can you work out the rules? Which dice totals are good to get, and why?