1 out of 3
How much can you read into a T-shirt?
1 out of 3
Investigate how you can work out what day of the week your birthday will be on next year, and the year after...
1 out of 3
Which set of numbers that add to 100 have the largest product?
1 out of 3
A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?
1 out of 3
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?
1 out of 3
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
1 out of 3
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.
1 out of 3
How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?
1 out of 3
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?
1 out of 3
How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?
1 out of 3
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.
1 out of 3
Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.
1 out of 3
Engage in a little mathematical detective work to see if you can spot the fakes.
1 out of 3
Can you find the connections between linear and quadratic patterns?
2 out of 3
Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?
2 out of 3
What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?
2 out of 3
A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?
2 out of 3
What is the relationship between the angle at the centre and the angles at the circumference, for angles which stand on the same arc? Can you prove it?
2 out of 3
Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?
2 out of 3
Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?
2 out of 3
Can you work out how to produce different shades of pink paint?
2 out of 3
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.
2 out of 3
Take a look at the video and try to find a sequence of moves that will untangle the ropes.
2 out of 3
With access to weather station data, what interesting questions can you investigate?
2 out of 3
Draw some stars and measure the angles at their points. Can you find and prove a result about their sum?
2 out of 3
Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?
3 out of 3
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?
3 out of 3
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.
3 out of 3
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
1 out of 3
Collect as many diamonds as you can by drawing three straight lines.
