The Third Dimension
Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?
Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?
Lola bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lola have paid for the balloon?
There are six numbers written in five different scripts. Can you sort out which is which?
On a digital 24 hour clock, at certain times, all the digits are consecutive. How many times like this are there between midnight and 7 a.m.?
What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.
Use the 'double-3 down' dominoes to make a square so that each side has eight dots.
Use your logical thinking skills to deduce how much Dan's crisps and ice cream cost altogether.
Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
Use these four dominoes to make a square that has the same number of dots on each side.
On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
How could you arrange at least two dice in a stack so that the total of the visible spots is 18?
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.
Here's a strategy game with lots to explore. Can you find out enough to guarantee a win, no matter what the settings?
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?