problem
Favourite
Parallel lines
Age
11 to 14
Challenge level
How does the position of the line affect the equation of the line?
What can you say about the equations of parallel lines?
problem
Favourite
In the bag
Age
11 to 14
Challenge level
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?
problem
Favourite
Elevenses
Age
11 to 14
Challenge level
How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?
problem
Favourite
Reflecting Lines
Age
11 to 14
Challenge level
Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.
problem
Favourite
Translating Lines
Age
11 to 14
Challenge level
Investigate what happens to the equation of different lines when
you translate them. Try to predict what will happen. Explain your
findings.
problem
Favourite
Cyclic Quadrilaterals
Age
11 to 16
Challenge level
Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?
problem
Favourite
Growing Surprises
Age
11 to 14
Challenge level
Can you find the connections between linear and quadratic patterns?
problem
Favourite
Days and Dates
Age
11 to 14
Challenge level
Investigate how you can work out what day of the week your birthday will be on next year, and the year after...
problem
Favourite
What's it worth?
Age
11 to 16
Challenge level
There are lots of different methods to find out what the shapes are worth - how many can you find?
problem
Favourite
Largest product
Age
11 to 14
Challenge level
Which set of numbers that add to 100 have the largest product?
problem
Favourite
Cinema Problem
Age
11 to 14
Challenge level
A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?
problem
Favourite
Special Numbers
Age
11 to 14
Challenge level
My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?
problem
Favourite
Tilted Squares
Age
11 to 14
Challenge level
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
problem
Favourite
How far does it move?
Age
11 to 14
Challenge level
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.
problem
Favourite
Speeding up, slowing down
Age
11 to 14
Challenge level
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.
problem
Favourite
Twisting and Turning
Age
11 to 14
Challenge level
Take a look at the video and try to find a sequence of moves that will untangle the ropes.
problem
Favourite
Terminating or not
Age
11 to 14
Challenge level
Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?
problem
Favourite
Marbles in a box
Age
11 to 16
Challenge level
How many winning lines can you make in a three-dimensional version of noughts and crosses?
problem
Favourite
Think of Two Numbers
Age
11 to 14
Challenge level
Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?
problem
Favourite
Sending a Parcel
Age
11 to 14
Challenge level
What is the greatest volume you can get for a rectangular (cuboid)
parcel if the maximum combined length and girth are 2 metres?
problem
Favourite
Mixing Paints
Age
11 to 14
Challenge level
Can you work out how to produce different shades of pink paint?
problem
Favourite
Up and across
Age
11 to 14
Challenge level
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.
problem
Favourite
How Many Miles To Go?
Age
11 to 14
Challenge level
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?
problem
Favourite
Generating Triples
Age
14 to 16
Challenge level
Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?
problem
Favourite
Tree tops
Age
14 to 16
Challenge level
Can you make sense of information about trees in order to maximise the profits of a forestry company?