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
Identical squares of side one unit contain some circles shaded blue. In which of the four examples is the shaded area greatest?
1 out of 3
Which set of numbers that add to 100 have the largest product?
1 out of 3
What do you notice about the sum of two identical triangular numbers?
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
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
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
How much of the square is coloured blue? How will the pattern continue?
1 out of 3
Some people offer advice on how to win at games of chance, or how to influence probability in your favour. Can you decide whether advice is good or not?
1 out of 3
Engage in a little mathematical detective work to see if you can spot the fakes.
1 out of 3
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?
1 out of 3
Can you find the connections between linear and quadratic patterns?
2 out of 3
Is there an efficient way to work out how many factors a large number has?
2 out of 3
Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?
2 out of 3
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?
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
The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.
2 out of 3
Can you recreate squares and rhombuses if you are only given a side or a diagonal?
2 out of 3
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
2 out of 3
Can you minimise the amount of wood needed to build the roof of my garden shed?
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
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
1 out of 3
Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?
2 out of 3
Can you do a little mathematical detective work to figure out which number has been wiped out?
