Challenge Level

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

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

Can you predict when you'll be clapping and when you'll be clicking if you start this rhythm? How about when a friend begins a new rhythm at the same time?

Challenge Level

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

Challenge Level

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

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

What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

Challenge Level

If you count from 1 to 20 and clap more loudly on the numbers in the two times table, as well as saying those numbers loudly, which numbers will be loud?

Challenge Level

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

Challenge Level

Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

Challenge Level

Can you work out how to make each side of this balance equally balanced? You can put more than one weight on a hook.

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

How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?

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

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

Challenge Level

Can you complete this jigsaw of the multiplication square?

Challenge Level

Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?

Challenge Level

Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

Challenge Level

How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

Challenge Level

In this maze of hexagons, you start in the centre at 0. The next hexagon must be a multiple of 2 and the next a multiple of 5. What are the possible paths you could take?

Challenge Level

The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

Challenge Level

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

Challenge Level

Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.

Challenge Level

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.

Challenge Level

Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?

Challenge Level

An environment which simulates working with Cuisenaire rods.

Challenge Level

Can you help the children in Mrs Trimmer's class make different shapes out of a loop of string?

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

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

Challenge Level

Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all?

Challenge Level

How many different rectangles can you make using this set of rods?

Challenge Level

Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

Challenge Level

Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?

Challenge Level

Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?

Challenge Level

A game for 2 people using a pack of cards Turn over 2 cards and try to make an odd number or a multiple of 3.

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

Challenge Level

Does this 'trick' for calculating multiples of 11 always work? Why or why not?

Challenge Level

In this problem we are looking at sets of parallel sticks that cross each other. What is the least number of crossings you can make? And the greatest?

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

Are these statements always true, sometimes true or never true?

Challenge Level

There are eight clues to help you find the mystery number on the grid. Four of them are helpful but the other four aren't! Can you sort out the clues and find the number?

Challenge Level

Have a go at balancing this equation. Can you find different ways of doing it?

Challenge Level

Can you work out some different ways to balance this equation?

Challenge Level

Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?

Challenge Level

Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

Challenge Level

Can you sort numbers into sets? Can you give each set a name?

Challenge Level

"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?

Challenge Level

Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?