Can you find a path from a number at the top of this network to the bottom which goes through each number from 1 to 9 once and once only?
As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?
There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. Can you use the information given to find out how many eggs are in each basket?
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
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.
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?
Factor track is not a race but a game of skill. The idea is to go round the track in as few moves as possible, keeping to the rules.
Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?
You have two sets of the digits 0 – 9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?
Can you go from A to Z right through the alphabet in the hexagonal maze?
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?
Use these four dominoes to make a square that has the same number of dots on each side.
Can you use the information to find out which cards I have used?
Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.
Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?
You have a set of the digits from 0 – 9. Can you arrange these in the 5 boxes to make two-digit numbers as close to the targets as possible?
Use the 'double-3 down' dominoes to make a square so that each side has eight dots.
Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?
Using the numbers 1, 2, 3, 4 and 5 once and only once, and the operations x and ÷ once and only once, what is the smallest whole number you can make?
A shunting puzzle for 1 person. Swop the positions of the counters at the top and bottom of the board.
All the girls would like a puzzle each for Christmas and all the boys would like a book each. Solve the riddle to find out how many puzzles and books Santa left.
There were 22 legs creeping across the web. How many flies? How many spiders?
Woof is a big dog. Yap is a little dog. Emma has 16 dog biscuits to give to the two dogs. She gave Woof 4 more biscuits than Yap. How many biscuits did each dog get?
Strike it Out game for an adult and child. Can you stop your partner from being able to go?
56 406 is the product of two consecutive numbers. What are these two numbers?
Can you make the green spot travel through the tube by moving the yellow spot? Could you draw a tube that both spots would follow?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Skippy and Anna are locked in a room in a large castle. The key to that room, and all the other rooms, is a number. The numbers are locked away in a problem. Can you help them to get out?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.
This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?
Use the three triangles to fill these outline shapes. Perhaps you can create some of your own shapes for a friend to fill?
Can you arrange fifteen dominoes so that all the touching domino pieces add to 6 and the ends join up? Can you make all the joins add to 7?
Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?
Is it possible to draw a 5-pointed star without taking your pencil off the paper? Is it possible to draw a 6-pointed star in the same way without taking your pen off?
There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p in the sweet shop. What could each of the children buy with their money?
Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?
I was looking at the number plate of a car parked outside. Using my special code S208VBJ adds to 65. Can you crack my code and use it to find out what both of these number plates add up to?
The discs for this game are kept in a flat square box with a square hole for each disc. Use the information to find out how many discs of each colour there are in the box.
A dog is looking for a good place to bury his bone. Can you work out where he started and ended in each case? What possible routes could he have taken?
What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
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?
Can you draw a continuous line through 16 numbers on this grid so that the total of the numbers you pass through is as high as possible?
Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?
If these balls are put on a line with each ball touching the one in front and the one behind, which arrangement makes the shortest line of balls?