Gradients

Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?

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?

This is a beautiful result involving a parabola and parallels.

Follow the instructions and you can take a rectangle, cut it into 4 pieces, discard two small triangles, put together the remaining two pieces and end up with a rectangle the same size. Try it!

Explore the relationship between resistance and temperature

Kyle and his teacher disagree about his test score - who is right?

Can you find the gradients of the lines that form a triangle?

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.