Can you find the chosen number from the grid using the clues?
In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?
Follow the clues to find the mystery number.
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?
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?
How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?
Can you work out some different ways to balance this equation?
There are 44 people coming to a dinner party. There are 15 square tables that seat 4 people. Find a way to seat the 44 people using all 15 tables, with no empty places.
What two-digit numbers can you make with these two dice? What can't you make?
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
Have a go at balancing this equation. Can you find different ways of doing it?
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?
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?
Using the statements, can you work out how many of each type of rabbit there are in these pens?
Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?
Can you rearrange the biscuits on the plates so that the three biscuits on each plate are all different and there is no plate with two biscuits the same as two biscuits on another plate?
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?
You have 4 red and 5 blue counters. How many ways can they be placed on a 3 by 3 grid so that all the rows columns and diagonals have an even number of red counters?
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?
In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Only one side of a two-slice toaster is working. What is the quickest way to toast both sides of three slices of bread?
Sitting around a table are three girls and three boys. Use the clues to work out were each person is sitting.
Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?
Seven friends went to a fun fair with lots of scary rides. They decided to pair up for rides until each friend had ridden once with each of the others. What was the total number rides?
What is the smallest number of coins needed to make up 12 dollars and 83 cents?
Can you create jigsaw pieces which are based on a square shape, with at least one peg and one hole?
Can you put plus signs in so this is true? 1 2 3 4 5 6 7 8 9 = 99 How many ways can you do it?
The Zargoes use almost the same alphabet as English. What does this birthday message say?
I was in my car when I noticed a line of four cars on the lane next to me with number plates starting and ending with J, K, L and M. What order were they in?
What is the smallest number of jumps needed before the white rabbits and the grey rabbits can continue along their path?
The Vikings communicated in writing by making simple scratches on wood or stones called runes. Can you work out how their code works using the table of the alphabet?
Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.
Can you substitute numbers for the letters in these sums?
In the planet system of Octa the planets are arranged in the shape of an octahedron. How many different routes could be taken to get from Planet A to Planet Zargon?
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?
This magic square has operations written in it, to make it into a maze. Start wherever you like, go through every cell and go out a total of 15!
A merchant brings four bars of gold to a jeweller. How can the jeweller use the scales just twice to identify the lighter, fake bar?
These are the faces of Will, Lil, Bill, Phil and Jill. Use the clues to work out which name goes with each face.
Nina must cook some pasta for 15 minutes but she only has a 7-minute sand-timer and an 11-minute sand-timer. How can she use these timers to measure exactly 15 minutes?
Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?
El Crico the cricket has to cross a square patio to get home. He can jump the length of one tile, two tiles and three tiles. Can you find a path that would get El Crico home in three jumps?
Place the numbers 1 to 8 in the circles so that no consecutive numbers are joined by a line.
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
This challenge is about finding the difference between numbers which have the same tens digit.
There are 4 jugs which hold 9 litres, 7 litres, 4 litres and 2 litres. Find a way to pour 9 litres of drink from one jug to another until you are left with exactly 3 litres in three of the jugs.
What happens when you round these three-digit numbers to the nearest 100?
My briefcase has a three-number combination lock, but I have forgotten the combination. I remember that there's a 3, a 5 and an 8. How many possible combinations are there to try?