Gradients

There are 27 NRICH Mathematical resources connected to Gradients
Which is cheaper?
problem
Favourite

Which is cheaper?

Age
14 to 16
Challenge level
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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?
Which is bigger?
problem
Favourite

Which is bigger?

Age
14 to 16
Challenge level
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Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
How far does it move?
problem
Favourite

How far does it move?

Age
11 to 14
Challenge level
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Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.

Up and across
problem
Favourite

Up and across

Age
11 to 14
Challenge level
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Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

Parallel lines
problem
Favourite

Parallel lines

Age
11 to 14
Challenge level
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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?
Electric Kettle
problem

Electric kettle

Age
14 to 16
Challenge level
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Explore the relationship between resistance and temperature
Spot the difference
problem

Spot the difference

Age
16 to 18
Challenge level
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If you plot these graphs they may look the same, but are they?
Power Up
problem

Power up

Age
16 to 18
Challenge level
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Show without recourse to any calculating aid that 7^{1/2} + 7^{1/3} + 7^{1/4} < 7 and 4^{1/2} + 4^{1/3} + 4^{1/4} > 4 . Sketch the graph of f(x) = x^{1/2} + x^{1/3} + x^{1/4} -x
From all corners
problem

From all corners

Age
14 to 16
Challenge level
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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.
Lying and Cheating
problem

Lying and cheating

Age
11 to 14
Challenge level
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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!