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

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When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?

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How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?

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Change one equation in this pair of simultaneous equations very slightly and there is a big change in the solution. Why?

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

Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.

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Can you find sets of sloping lines that enclose a square?

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Can you make sense of the three methods to work out the area of the kite in the square?

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This task requires learners to explain and help others, asking and answering questions.

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Drawing a triangle is not always as easy as you might think!

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Four vehicles travel along a road one afternoon. Can you make sense of the graphs showing their motion?

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Four vehicles travelled on a road. What can you deduce from the times that they met?

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In abstract and computer generated art, a real object can be represented by a simplified set of lines. Can you create a picture using mathematical instructions?

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

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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.

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

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Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?

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

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

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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?

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Explore the relationship between resistance and temperature