Visualising and representing

problem

Semaphore

Age

11 to 14

Challenge level

2 out of 3

I am standing behind five pupils who are signalling a five-digit number to someone on the opposite side of the playground. What number is actually being signalled?
problem

Maths Filler

Age

11 to 14

Challenge level

2 out of 3

Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
problem

Christmas Chocolates

Age

11 to 14

Challenge level

2 out of 3

How could Penny, Tom and Matthew work out how many chocolates there are in different sized boxes?
problem

Don't Be Late

Age

11 to 14

Challenge level

2 out of 3

Mary is driving to Birmingham Airport. Using her average speed for the entire journey, find how long her journey took.
problem

Adjacent Factors

Age

11 to 14

Challenge level

2 out of 3

Two numbers can be placed adjacent if one of them divides the other. Using only $1,...,10$, can you write the longest such list?
problem

Reading From Behind

Age

11 to 14

Challenge level

2 out of 3

Can you find the time between 3 o'clock and 10 o'clock when my digital clock looks the same from both the front and back?
problem

Fifty Coins

Age

11 to 14

Challenge level

2 out of 3

Cheryl finds a bag of coins. Can you work out how many more 5p coins than 2p coins are in the bag?
problem

Reflected Back

Age

11 to 14

Challenge level

2 out of 3

Imagine reflecting the letter P in all three sides of a triangle in turn. What is the final result?
problem

Product and Sum

Age

11 to 14

Challenge level

2 out of 3

When Jim rolled some dice, the scores had the same product and sum. How many dice did Jim roll?
problem

Doubly Symmetric

Age

11 to 14

Challenge level

2 out of 3

What is the smallest number of additional squares that must be shaded so that this figure has at least one line of symmetry and rotational symmetry of order 2?