NRICH: Growing Surprises
NRICH (University of Cambridge)

Can you find the connections between linear and quadratic patterns?

NRICH: Beach Huts
NRICH (University of Cambridge)

Can you figure out how sequences of beach huts are generated?

NRICH: A Little Light Thinking
NRICH (University of Cambridge)

Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?

NRICH: Translating Lines
NRICH (University of Cambridge)

Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

NRICH: Reflecting Lines
NRICH (University of Cambridge)

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.

NRICH: Diamond Collector
NRICH (University of Cambridge)

Collect as many diamonds as you can by drawing three straight lines.

NRICH: Perpendicular Lines
NRICH (University of Cambridge)

Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?

NRICH: Parallel Lines
NRICH (University of Cambridge)

How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?

NRICH: At Right Angles
NRICH (University of Cambridge)

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

NRICH: How Far Does it Move?
NRICH (University of Cambridge)

Experiment with the interactivity of “rolling” regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.

NRICH: Walk and Ride
NRICH (University of Cambridge)

How far have these students walked by the time the teacher’s car reaches them after their bus broke down?

NRICH: Linear Area
NRICH (University of Cambridge)

Find the area of the triangle enclosed by these lines.