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.

There are many different methods to solve this geometrical problem - how many can you find?

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 ?

Stick some cubes together to make a cuboid. Find two of the angles by as many different methods as you can devise.

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