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

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

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

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

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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

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

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

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

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

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

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 find the chosen number from the grid using the clues?

Challenge Level

Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?

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Can you complete this jigsaw of the multiplication square?

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?

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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

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

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

An investigation that gives you the opportunity to make and justify predictions.

Challenge Level

In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?

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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?

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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

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

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An environment which simulates working with Cuisenaire rods.

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

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Can you make square numbers by adding two prime numbers together?

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Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

Challenge Level

If there is a ring of six chairs and thirty children must either sit on a chair or stand behind one, how many children will be behind each chair?

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?

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How many different sets of numbers with at least four members can you find in the numbers in this box?

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Use this grid to shade the numbers in the way described. Which numbers do you have left? Do you know what they are called?

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There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?

Challenge Level

Number problems at primary level that may require resilience.

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

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

When Charlie asked his grandmother how old she is, he didn't get a straightforward reply! Can you work out how old she is?

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

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 will you work out which numbers have been used to create this multiplication square?

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

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?

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There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?

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What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

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

Challenge Level

On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?

Challenge Level

Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?