You may also like

problem icon

Ladder and Cube

A 1 metre cube has one face on the ground and one face against a wall. A 4 metre ladder leans against the wall and just touches the cube. How high is the top of the ladder above the ground?

problem icon

Doesn't Add Up

In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?

problem icon

From All Corners

Straight lines are drawn from each corner of a square to the mid points of the opposite sides. Express the area of the octagon that is formed at the centre as a fraction of the area of the square.

Steady Free Fall

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

The main problem-solving tasks for the student here are :
  • To get a sense for motion under gravity.
  • To make sense of the graph and to grasp the characteristic "vertical velocity"
  • To identify and accurately describe the properties of the rail shape and the effect these have on the motion of the bead.
  • And then to bring together interpretation of the graph and appreciation of rail shape to produce constant vertical velocity.
We hope that this challenge will provide a rich opportunity for students to develop their reasoning and communication skills as they work to produce a good commentary on features and effects.