Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?
Can you beat the computer in the challenging strategy game?
Can you locate the lost giraffe? Input coordinates to help you search and find the giraffe in the fewest guesses.
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
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.
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?
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
Carry out some time trials and gather some data to help you decide on the best training regime for your rowing crew.
Jo has three numbers which she adds together in pairs. When she does this she has three different totals: 11, 17 and 22 What are the three numbers Jo had to start with?”
Can you coach your rowing eight to win?
The graph represents a salesman’s area of activity with the shops that the salesman must visit each day. What route around the shops has the minimum total distance?
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?
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.
Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?
Use the 'double-3 down' dominoes to make a square so that each side has eight dots.
Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?
A shunting puzzle for 1 person. Swop the positions of the counters at the top and bottom of the board.
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?
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?
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?
How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?
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?
Strike it Out game for an adult and child. Can you stop your partner from being able to go?
Use these four dominoes to make a square that has the same number of dots on each side.
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
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?
Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?
56 406 is the product of two consecutive numbers. What are these two numbers?
A 3 digit number is multiplied by a 2 digit number and the calculation is written out as shown with a digit in place of each of the *'s. Complete the whole multiplication sum.
Using some or all of the operations of addition, subtraction, multiplication and division and using the digits 3, 3, 8 and 8 each once and only once make an expression equal to 24.
Complete the following expressions so that each one gives a four digit number as the product of two two digit numbers and uses the digits 1 to 8 once and only once.
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).
Kate has eight multilink cubes. She has two red ones, two yellow, two green and two blue. She wants to fit them together to make a cube so that each colour shows on each face just once.
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?
If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
Sam sets up displays of cat food in his shop in triangular stacks. If Felix buys some, then how can Sam arrange the remaining cans in triangular stacks?
Use the numbers in the box below to make the base of a top-heavy pyramid whose top number is 200.
What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?
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 number the vertices, edges and faces of a tetrahedron so that the number on each edge is the mean of the numbers on the adjacent vertices and the mean of the numbers on the adjacent faces?
What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
Can you use the information to find out which cards I have used?
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?
The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?
In this problem you have to place four by four magic squares on the faces of a cube so that along each edge of the cube the numbers match.
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?
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
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?
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?