Being resourceful

Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.

The equation a^x + b^x = 1 can be solved algebraically in special cases but in general it can only be solved by numerical methods.

Can you find the area of the central part of this shape? Can you do it in more than one way?

Can you work out the equations of the trig graphs I used to make my pattern?

Do you have enough information to work out the area of the shaded quadrilateral?

Which is the bigger, 9^10 or 10^9 ? Which is the bigger, 99^100 or 100^99 ?

See how the motion of the simple pendulum is not-so-simple after all.

Things are roughened up and friction is now added to the approximate simple pendulum

Use your logical reasoning to work out how many cows and how many sheep there are in each field.

Like a bit of help getting into the game? Then have a look at this.