Visualising and representing

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?
problem

Same Face

Age

11 to 14

Challenge level

2 out of 3

A cube is rolled on a plane, landing on the squares in the order shown. Which two positions had the same face of the cube touching the surface?
game

Khun Phaen Escapes to Freedom

Age

11 to 14

Challenge level

3 out of 3

Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.