Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?
Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?
56 406 is the product of two consecutive numbers. What are these two numbers?
Using only six straight cuts, find a way to make as many pieces of pizza as possible. (The pieces can be different sizes and shapes).
A shunting puzzle for 1 person. Swop the positions of the counters at the top and bottom of the board.
Use the numbers in the box below to make the base of a top-heavy pyramid whose top number is 200.
A cinema has 100 seats. Show how it is possible to sell exactly 100 tickets and take exactly £100 if the prices are £10 for adults, 50p for pensioners and 10p for children.
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?
Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?
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.
In 1871 a mathematician called Augustus De Morgan died. De Morgan made a puzzling statement about his age. Can you discover which year De Morgan was born in?
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?
Place the digits 1 to 9 into the circles so that each side of the triangle adds to the same total.
Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.
Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?
Fill in the missing numbers so that adding each pair of corner numbers gives you the number between them (in the box).
Your challenge is to find the longest way through the network following this rule. You can start and finish anywhere, and with any shape, as long as you follow the correct order.
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 locate the lost giraffe? Input coordinates to help you search and find the giraffe in the fewest guesses.
Fill in the numbers to make the sum of each row, column and diagonal equal to 34. For an extra challenge try the huge American Flag magic square.
On the table there is a pile of oranges and lemons that weighs exactly one kilogram. Using the information, can you work out how many lemons there are?
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?
Imagine picking up a bow and some arrows and attempting to hit the target a few times. Can you work out the settings for the sight that give you the best chance of gaining a high score?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
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?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?
Carry out some time trials and gather some data to help you decide on the best training regime for your rowing crew.
Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?
Strike it Out game for an adult and child. Can you stop your partner from being able to go?
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?
Using the statements, can you work out how many of each type of rabbit there are in these pens?
There are 78 prisoners in a square cell block of twelve cells. The clever prison warder arranged them so there were 25 along each wall of the prison block. How did he do it?
Can you use the information to find out which cards I have used?
Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.
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?
Find at least one way to put in some operation signs (+ - x ÷) to make these digits come to 100.
What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
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.
Can you coach your rowing eight to win?
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?
Can you beat the computer in the challenging strategy game?
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?
If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
Can you arrange the digits 1,2,3,4,5,6,7,8,9 into three 3-digit numbers such that their total is close to 1500?
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?
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?
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?
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.