
Fruity totals
In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?


Days and dates
Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

What's it worth?
There are lots of different methods to find out what the shapes are worth - how many can you find?

Cinema problem
A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?

Tilted squares
It's easy to work out the areas of most squares that we meet, but what if they were tilted?

How far does it move?
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.

Semi-regular tessellations
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

In the bag
Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?

Elevenses
How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?

At least one...
Imagine flipping a coin a number of times. Can you work out the probability you will get a head on at least one of the flips?

Wipeout
Can you do a little mathematical detective work to figure out which number has been wiped out?


Alison's quilt
Nine squares are fitted together to form a rectangle. Can you find its dimensions?


Funny factorisation
Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?

1 step 2 step
Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

Sending a parcel
What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?

Two's company
Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

Cosy corner
Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

Speeding up, slowing down
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.

Product Sudoku
The clues for this Sudoku are the product of the numbers in adjacent squares.

Opposite vertices
Can you recreate squares and rhombuses if you are only given a side or a diagonal?

Nine colours
Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

Triangles to tetrahedra
Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?

How many miles to go?
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?

Ben's game
Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

Cuboids
Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?

Efficient cutting
Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.

Up and across
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

Cola can
An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?

Which solids can we make?
Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?

Tree tops
Can you make sense of information about trees in order to maximise the profits of a forestry company?

Tet-trouble
Is it possible to have a tetrahedron whose six edges have lengths 10, 20, 30, 40, 50 and 60 units?