game
Favourite
Diamond collector
Collect as many diamonds as you can by drawing three straight lines.
Gradients
problem
Favourite
Perpendicular lines
Age
14 to 16
Challenge level
Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?
problem
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Ladder and cube
Age
14 to 16
Challenge level
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
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At right angles
Age
14 to 16
Challenge level
Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?
problem
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Reflecting lines
Age
11 to 14
Challenge level
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.
problem
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Doesn't add up
Age
14 to 16
Challenge level
In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?
problem
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Translating lines
Age
11 to 14
Challenge level
Investigate what happens to the equation of different lines when
you translate them. Try to predict what will happen. Explain your
findings.
problem
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Surprising transformations
Age
14 to 16
Challenge level
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?
problem
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How steep is the slope?
Age
11 to 14
Challenge level
On the grid provided, we can draw lines with different gradients. How many different gradients can you find? Can you arrange them in order of steepness?
problem
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Parabella
Age
16 to 18
Challenge level
This is a beautiful result involving a parabola and parallels.